NL2030965B1

NL2030965B1 - Glass for Memory Recording Media

Info

Publication number: NL2030965B1
Application number: NL2030965A
Authority: NL
Inventors: Ann Lamberson Lisa; Diane Pierson-Stull Michelle; Joseph Lezzi Peter; Xiong Smith Liping; I Priven Alexander
Original assignee: Corning Inc
Priority date: 2022-02-09
Filing date: 2022-02-16
Publication date: 2023-08-15
Also published as: CN116573851A

Abstract

Glass compositions include silica (SÍOz), alumina (Alea) and calcium oxide (CaO) as components and may optionally include lithium oxide (le0), magnesia (MgO), sodium oxide (Nazo), phosphorus oxide (P205), barium oxide (BaO), strontium oxide (SrO), Ban and other components. Glasses formed from the glass compositions may be characterized by high specific modulus and a high temperature at which the glass has a viscosity of 160kP.

Description

Glass for Memory Recording Media

FIELD

[0001] The present specification generally relates to glass compositions suitable for use as substrate material for electronic devices. More specifically, the present specification is directed to substrate materials for memory recording disks suitable for the Heat Assisted Magnetic Recording (HAMR) process.

BACKGROUND

[0002] The industry is continuously requiring the ability to store more and more data. In order to accommodate this need for increased data storage, the industry is having to make shifts in the way they store data on disks. In order to get around physics barriers, they have moved to a new technology called

Heat Assisted Magnetic Recording (HAMR). With this technology, data storage is accomplished by heating up small areas of the magnetic memory material to write the data and rapidly cooling the magnetic memory material to store the data in a more stable phase. The substrate used to support the magnetic memory material in current magnetic disk technology is aluminum. With the transition to

HAMR technology, however, aluminum will no longer be a viable substrate because it does not have the ability to function at the temperatures, such as about 700°C or greater, necessary for writing data with the HAMR technology. Therefore, a need exists for new substrate materials, such as glass, that are resistant to high temperatures, have higher rigidity and smooth, flat surfaces, and high resistance to fast cooling and heating (or thermal shock resistance), which, in turn, requires low coefficient of thermal expansion.

SUMMARY

[0003] According to an embodiment of the present disclosure, a glass comprises a plurality of components, the glass having a composition of the components comprising greater than or equal to 60.0 mol.% and less than or equal to 75.0 mol.% Si0,, greater than or equal to 10.0 mol.% and less than or equal to 18.0 mol.% AlO3, greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.%

Li,0, greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.% Na20, greater than or equal to 0.0 mol.% and less than or equal to 3.8 mol.% BOs, greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.% P.0s, greater than or equal to 0.0 mol.% and less than or equal to 2.0 mol.% ZnO, greater than or equal to 0.0 mol.% and less than or equal to 0.7 mol.% La203, greater than or equal to 0.0 at.% and less than or equal to 3.0 at.% F, a sum of CaO + MgO greater than or equal to 5.0 mol.%, a sum of Li»O + Naz0 greater than or equal to 0.5 mol.%, a sum of Li20 + MgO greater than or equal to 0.0 mol.% and fess than or equal to 10.0 mol.%, a sum of MgO + ZnO greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.%, a sum of CaO + SrO greater than or equal to 0.0 mol.% and less than or equal to 9.0 mol.%, and a sum of ZrO, + TiO» + FeO + Fe203 greater than or equal to 0.0 mol.% and less than or equal to 1.5 mol.%, wherein the glass has an aluminum-binding parameter Py that is greater than or equal to -2.8, a modifier-binding parameter Pmoa that is less than or equal to 2.8 and an anorthite precipitation parameter Panort that is less than or equal to 10, where Pa; is calculated from the glass composition in terms of mol.% of the components according to the Formula (Vil):

Pu =R20 +RO+P205+1.6* REmO, -Al03, (Vl)

Pmod is calculated from the glass composition in terms of mol.% of the components according to the

Formula (VII):

Prod = R20 + RO - ALOs -P;Os -REx0O,, (VII)

Panon is calculated from the glass composition in terms of mol.% of the components according to the

Formula (1):

Panort = min{CaO + SrO + 0.5 * BaO + Na20 + 0.5 * K,0,ALOs5), (I) where R20 is a total sum of monovalent metal oxides, RO is a total sum of divalent metal oxides, REO, is a total sum of rare earth metal oxides in all redox states present, and an asterisk (*} means multiplication. [0004} According to another embodiment of the present disclosure, a glass comprises a plurality of components, the glass having a composition of the components comprising greater than or equal to 60.0 mol.% and less than or equal to 80.0 mol.% Si0,, greater than or equal to 10.0 mol.% and less than or equal to 18.0 mol.% A03, greater than or equal to 0.5 mol.% and less than or equal to 7.5 mol.%

Li0, greater than or equal to 0.0 mol.% and less than or equal to 0.5 mol.% ZrO, greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.% REO, greater than or equal to 0.0 at.% and less than or equal to 0.5 at.% F and may optionally contain one or more components selected from P,0s, B203,

MgO, CaO, BaO, ZnO, MnO, Na20, K20, Fe203, FeO, Cu20, Rb20, Ag:0, Cs,0, Aux0, Hg20, TO, BeO, CoO,

NiO, CuO, SrO, CdO, SnO, PbO and TiO2, wherein the composition of the components satisfies the condition: 0.00 < min{REm0;,P20Os) [mol.%] < 0.30, and wherein the glass has a cristobalite precipitation parameter Pcrist that is less than or equal to 28, an anorthite precipitation parameter Panor that is less than or equal to 10, a cordierite precipitation parameter Pco:d that is less than or equal to 5.0 and a spodumene precipitation parameter Pod that is less than or equal to 7.5, and wherein the glass satisfies the conditions: Psgm > 32, Panpt > 680 and Piso > 1150, where Pangt is an annealing point parameter, calculated from the glass composition in terms of mol.% of the components according to the Formula (1X):

Panpt = 664.7 + 5.2303 * SiO2 - 11.493 * B,03 - 7.1742 * P,O; + 8.3980 * ZrO; - 2.0585 * MgO - 2.1088 * CaO - 3.8995 * BaO - 10.323 * ZnO - 9.0727 * MnO - 23.455 * 1j,0 - 33.819 * Na20- (IX) 25.204 * K,0 + 15.745 * Y203 + 8.9047 * La203 - 33.960 * (Fe203 + FeO) - 5.6704 * (R20 + RO -

ALO;) - 4.2545 * (SiOz - (6 * K;0 +6 * Na 0 +4 * Li20 + 2 * RO)) - 19.439 * Cu, 0,

Pspm is a specific modulus parameter, calculated from the glass composition in terms of mol.% of the components according to the Formula (X):

Psom = 32.10 + 0.47744 * SiO; - 1.6506 * Al203 - 0.11775 * B203 - 0.30166 * P,O; + 0.20187 * TiO, + 0.20219 * ZrO, + 0.96268 * MgO + 0.83379 * CaO + 0.53685 * SrO + 0.41218 * BaO + 0.63264 *

ZnO + 0.75365 * MnO + 0.62984 * CuO - 1.2496 * Na,0 - 1.5154 * K,0 + 1.4746 * Cuz0- 0.037941 * (X)

Y,03 - 0.75836 * La203- 1.8052 * (R,0 + RO - Al,O3) - 0.47488 * (SiO; - (6 * K20 + 6 * Na20 +4 * Li,O +2 * RO)),

Pico is a parameter predicting a temperature at which a viscosity of the glass is 160 kP, calculated from the glass composition in terms of mol.% of the components according to the Formula (Xi):

Piso = 1058 + 2.5492 * Si0; - 25.725 * Al,05 - 11.327 * B;03 - 10.014 * P05 - 14.309 * TiO; - 11.594 * ZrO; + 30.559 * MgO + 29.290 * CaO + 30.592 * SrO + 30.079 * BaO + 23.323 * ZnO + (XI) 19.724 * MnO + 11.888 * PbO + 11.462 * CuO + 17.090 * Li,0 + 16.475 * Na20 + 11.386 * KO + 14.422 * Y20;3 - 36.909 * La20:3 -34.144 * (Fe203 + FeQ) -35.001 * (R20 + RO - ALOs),

Perse is calculated from the glass composition in terms of mol.% of the components according to the

Formula (VI):

Post = Si02 - 6 * {Na20 + K;0} - 4 * Li,0 - 2 * (CaO +SrO + BaO) - 2.5 * MgO, (Vi)

Panort is calculated from the glass composition in terms of mol.% of the components according to the

Formula (1):

Panort = min{CaO + SrO + 0.5 * BaO + Na20 + 0.5 * K,0,ALOs5), (I)

Peord is calculated from the glass composition in terms of mol. % of the components according to the

Formula (Hi):

Peora = MgO + MnO + FeQ, (Hi)

Pspod is calculated from the glass composition in terms of mol.% of the components according to the

Formula (IV):

Pspoa = min{Li20,Al203 - K20 - 0.5 * Na20}, (IV) where R20 is a total sum of monovalent metal oxides, RO is a total sum of divalent metal oxides, REmO: is a total sum of rare earth metal oxides in all redox states present, and an asterisk (*} means multiplication.

[0005] According to one more embodiment of the present disclosure, a glass comprises a plurality of components, the glass having a composition of the components comprising greater than or equal to 60.0 mol.% and less than or equal to 75.0 mol.% Si0,, greater than or equal to 10.5 mol.% and less than or equal to 18.0 mol.% Al, Os, greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.%

CaO, greater than or equal to 0.0 mol.% and less than or equal to 7.8 mol.% Li2O, greater than or equal to 0.0 mol.% and less than or equal to 4.3 mol.% MgO, greater than or equal to 0.0 mol.% and less than or equal to 0.5 mol.% ZrO,, greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.% REmOn and may optionally contain one or more components selected from B203, P20s, TiO2, SrO, BaO, ZnO,

MnO, CuO, Na20, KO, Cu:0, Rb20, Ag20, Cs,0, Au,0, Hg20, ThO, BeO, FeO, CoO, NiO, CdO, Sn0, PbO and Fe;03, wherein the glass has a cristobalite precipitation parameter Pos: that is less than or equal to 28, an anorthite precipitation parameter Pano that is less than or equal to 10 and a modifier-binding parameter Prod that is greater than or equal to -3.0 and the glass satisfies the condition: Pom - {92.5 - 0.05 * Pisae) > 0.000, where Psn is a specific modulus parameter, calculated from the glass composition in terms of mol.% of the components according to the Formula (X}:

Pspm = 32.10 + 0.47744 * SiO, - 1.6506 * Al,0;- 0.11775 * B203 - 0.30166 * P,0Os + 0.20187 * TiO, + 0.20219 * ZrO, + 0.96268 * MgO + 0.83379 * CaO + 0.53685 * SrO + 0.41218 * BaO + 0.63264 *

ZnO + 0.75365 * MnO + 0.62984 * CuO - 1.2496 * Na;0 - 1.5154 * K,O + 1.4746 * Cu,0 - 0.037941 * (X)

Y203-0.75836 * La,03- 1.8052 * (R20 + RO - ALQO3) - 0.47488 * (SiO; - (6 * K20 +6 * Na.O +4 * Li,O + 2 * RO)},

Poe is a parameter predicting a temperature at which the glass has a viscosity of 160 KP, calculated from the glass composition in terms of mol.% of the components according to the Formula (XI):

Picowe = 1058 + 2.5492 * SiQ, - 25.725 * Al,0; - 11.327 * B05 - 10.014 * POs - 14.309 * TiO: - 11.594 * ZrO; + 30.559 * MgO + 29.290 * CaO + 30.592 * SrO + 30.079 * BaO + 23.323 * ZnO + (XI) 19.724 * MnO + 11.888 * PbO + 11.462 * CuO + 17.090 * Li,0 + 16.475 * Na,O + 11.386 * K;0 + 14.422 *¥,03- 36.909 * La203 - 34.144 * {Fe20:3 + FeO) -35,001 * {R20 +RO- ALOs),

Pers is a value of a cristobalite precipitation parameter, calculated from the glass composition in terms of mol.% of the components according to the Formula (VI):

Pest = SiO2 - 6 * {Na20 + KO} - 4 * Lix0 - 2 * (CaO + SrO + Ba0) - 2.5 * MgO, (VI)

Panort is a value of an anorthite precipitation parameter, calculated from the glass composition in terms of mol.% of the components according to the Formula (1):

Panort = Min{Ca0 + SrO + 0.5 * BaO + Na20 + 0.5 * K,0,ALOs), (I) 5 Pmod is a value of a modifier-binding parameter, calculated from the glass composition in terms of mol.% of the components according to the Formula (Vl):

Pros = R20 + RO 7 ALO; 7 P.0s 7 REO, (vil) where R20 is a total sum of monovalent metal oxides, RO is a total sum of divalent metal oxides, REmO, is a total sum of rare earth metal oxides in all redox states present, and an asterisk (*} means multiplication.

[0006] These and other aspects, objects, and features of the present disclosure will be understood and appreciated by those skilled in the art upon studying the following specification, claims, and appended drawings.

BRIEF DESCRIPTION OF THE DRAWINGS

[0007] FIG. 1 is a plot illustrating the relationship between the annealing point An.P. and the annealing point parameter Pang calculated by formula (1X) for some Comparative Glasses and some Exemplary

Glasses according to an embodiment of the present disclosure.

[0008] FIG. 2 is a plot illustrating the relationship between the specific modulus E/drr and the specific modulus parameter Pym calculated by formula (X) for some Comparative Glasses and some Exemplary

Glasses according to an embodiment of the present disclosure.

[0009] FIG. 3 is a plot illustrating the relationship between Tigre, the temperature at which the glass has a viscosity of 160 kP, and a parameter Piso calculated by formula (XI) that predicts the temperature at which the glass has a viscosity of 160 kP for some Comparative Glasses and some Exemplary Glasses according to an embodiment of the present disclosure.

[0010] FIG. 4 is a plot illustrating the relationship between the parameter Piso and the specific modulus parameter Pspm for some Comparative Glasses and some Exemplary Glasses according to an embodiment of the present disclosure.

[0011] FIG. 5 is a plot illustrating the relationship between the temperature s Tis and the specific modulus E/dgr for some Comparative Glasses and some Exemplary Glasses according to an embodiment of the present disclosure.

DETAILED DESCRIPTION

[0012] in the following detailed description, for purposes of explanation and not limitation, example embodiments disclosing specific details are set forth to provide a thorough understanding of various principles of the present disclosure. However, it will be apparent to one having ordinary skill in the art, having had the benefit of the present disclosure, that the present disclosure may be practiced in other embodiments that depart from the specific details disclosed herein. Moreover, descriptions of well- known devices, methods and materials may be omitted so as not to obscure the description of various principles of the present disclosure. Finally, wherever applicable, like reference numerals refer to like elements.

[0013] Unless otherwise expressly stated, it is in no way intended that any method set forth herein be construed as requiring that its steps be performed in a specific order. Accordingly, where a method claim does not actually recite an order to be followed by its steps, or it is not otherwise specifically stated in the claims or descriptions that the steps are to be limited to a specific order, it is in no way intended that an order be inferred, in any respect. This holds for any possible non-express basis for interpretation, including, without limitation, matters of logic with respect to arrangement of steps or operational flow; plain meaning derived from grammatical organization or punctuation; the number or type of embodiments described in the specification.

[0014] As used herein, the term "and/or," when used in a list of two or more items, means that any one of the listed items can be employed by itself, or any combination of two or more of the listed items can be employed. For example, if a composition is described as containing components A, B, and/or C, the composition can contain A alone; B alone; C alone; A and B in combination; A and C in combination; B and C in combination; or A, B, and C in combination.

[0015] Modifications of the disclosure will occur to those skilled in the art and to those who make or use the disclosure. Therefore, it is understood that the embodiments shown in the drawings and described above are merely for illustrative purposes and not intended to limit the scope of the disclosure, which is defined by the following claims, as interpreted according to the principles of patent law, including the doctrine of equivalents.

[0016] As used herein, the term "about" means that amounts, sizes, formulations, parameters, and other quantities and characteristics are not and need not be exact, but may be approximate and/or larger or smaller, as desired, reflecting tolerances, conversion factors, rounding off, measurement error and the like, and other factors known to those skilled in the art. When the term "about" is used in describing a value or an end-point of a range, the disclosure should be understood to include the specific value or end-point referred to. Whether or not a numerical value or end-point of a range in the specification recites "about," the numerical value or end-point of a range is intended to include two embodiments: one modified by "about," and one not modified by “about.” It will be further understood that the end-points of each of the ranges are significant both in relation to the other end-point, and independently of the other end-point.

[0017] The term “component” refers to a material or compound present in a glass composition.

Components include oxides, including but not limited to those expressed in Formulas (1), and (ll), and the claims. Representative components include BOs, P205, Al03, CuO, Cu20, RO, R20, Sn0;, MnO;,

REmO,, SiO2, Ta20s, ZnO, WO3, ND20s, TiO2, ZrO», Bi203, TeO,, etc. Other representative components include halogens (e.g. F, Br, Cl). Whenever a component is included as a term in a mathematical expression or formula, it is understood that the component refers to the amount of the component in units of mol.% in the composition of the glass. For example, the expression “B203 + P05" refers to the sum of the amount of B20; in units of mol.% and the amount of P,0s in units of mol.% in the composition of the glass. A mathematical expression or formula is any expression or formula that includes a mathematical operator such as “+ © “JP “min”, or “max”.

[0018] The term "formed from" can mean one or more of comprises, consists essentially of, or consists of. For example, a component that is formed from a particular material can comprise the particular material, consist essentially of the particular material, or consist of the particular material.

[0019] The terms "free" and "substantially free" are used interchangeably herein to refer to an amount and/or an absence of a particular component in a glass composition that is not intentionally added to the glass composition. It is understood that the glass composition may contain traces of a particular constituent component as a contaminant or a tramp in an amount of less than 0.10 mol.%.

[0020] As used herein, the term "tramp", when used to describe a particular constituent component in a glass composition, refers to a constituent component that is not intentionally added to the glass composition and is present in an amount of less than 0.10 mol.%. Tramp components may be unintentionally added to the glass composition as an impurity in another constituent component and/or through migration of the tramp component into the composition during processing of the glass composition.

[0021] Unless otherwise specified, the term “glass” is used to refer to a glass made from a glass composition disclosed herein.

[0022] The symbol " * " means multiplication when used in any formula herein.

[0023] The term “log” means logarithm in base 10.

[0024] Temperature is expressed herein in units of °C (degrees Celsius).

[0025] The term “room temperature” refers to a temperature in a range from 20 °C to 25 °C.

[0026] Viscosity is expressed herein in units of P (Poise). The term “kP” means kiloPoise.

[0027] The term "glass former" is used herein to refer to a component that, being solely present in the glass composition (i.e., without other components, except for tramps}, is able to form a glass when cooling the melt at a rate of not greater than about 300 °C/min.

[0028] The term "modifier", as used herein, refers to the oxides of monovalent or divalent metals, i.e,

RO or RO, where "R" stands for a cation. Modifiers can be added to a glass composition to change the atomic structure of the melt and the resulting glass. In some embodiments, the modifier may change the coordination numbers of cations present in the glass formers (e.g., boron in B20:3}, which may result in forming a more polymerized atomic network and, as a result, may provide better glass formation.

[0029] As used herein, the term "RQ" refers to a total content of divalent metal oxides (in mol.%), the term "R20" refers to a total content of monovalent metal oxides (in mol.%)}, and the term "Alk2O" refers to a total content of alkali metal oxides (in mol.%). The term R,0 encompasses alkali metal oxides (Alk20), in addition to other monovalent metal oxides, such as Ag,0, TIO, and Hg,0, for example. As discussed below, in the present disclosure, a rare earth metal oxide is referred to herein by its normalized formula (RE203) in which the rare earth metal RE has the redox state "+3," and thus rare earth metal oxides are not encompassed by the term RO.

[0030] As used herein, the term “rare earth metals" refers to the metals listed in the Lanthanide Series of the IUPAC Periodic Table, plus yttrium and scandium. As used herein, the term "rare earth metal oxides," is used to refer to the oxides of rare earth metals in different redox states, such as "+3" for lanthanum in La203, "+4" for cerium in Ce0,, "+2" for europium in EuO, etc. In general, the redox states of rare earth metals in oxide glasses may vary and, in particular, the redox state may change during melting, based on the composition and/or the redox conditions in the furnace where the glass is melted and/or heat-treated (e.g., annealed). Unless otherwise specified, a rare earth metal oxide component is referred to herein by its normalized formula in which the rare earth metal has the redox state "+3."

Accordingly, in the case in which a rare earth metal having a redox state other than "+3" is added to the glass composition batch, the batch composition is recalculated by adding or removing some oxygen to maintain the stoichiometry. For example, when CeO; (with cerium in redox state "+4") is used as a component, the resulting as-batched composition is recalculated assuming that two moles of CeO: is equivalent to one mole of Ce;0s, and the resulting as-batched composition is expressed in terms of

Ce:0:. As used herein, the term "REO," is used to refer to the total content (in mol.%) of rare earth metal oxides in all redox states present, and the term "RE203" is used to refer to the total content (in mol. %) of rare earth metal oxides in the "+3" redox state, also specified as "trivalent equivalent".

[0031] Unless otherwise specified, the composition of all components in a glass are expressed in terms of mole percent (mol.%)} in the glass. The composition of components in the glasses reported herein were determined by chemical analysis of the glass. The composition of B203 was determined using ICP (inductively coupled plasma}. The composition of Li20 was determined using FES (fluorescence excitation spectroscopy). The composition of all other components was determined using XRF (x-ray fluorescence spectroscopy). For the avoidance of doubt, “composition” or “glass composition” as reported herein refers to the composition of the components in final glass articles and is distinguished from batch composition. As will be understood by those having ordinary skill in the art, the composition of final glass articles may differ from the batch composition used to form the final glass article due, for example, to the fact that various melt constituents (e.g., fluorine, alkali metals, boron, etc.) may be subject to different levels of volatilization (e.g., as a function of vapor pressure, melt time and/or melt temperature) during melting of the constituents in the process of forming the final glass article.

Notwithstanding the foregoing, the difference between the composition of final glass articles and the batch composition is expected to be small.

[0032] In the case when fluorine or other halogen (chlorine, bromine, and/or iodine} is added to or is present in an oxide glass, the molecular representation of the resulting glass composition may be expressed in different ways. In the present disclosure, the content of fluorine as a single term, when present, is expressed in terms of atomic percent (at.%)}, which is determined based on the fraction of fluorine in a total sum of all atoms in a glass composition multiplied by a factor of 100.

[0033] In the present disclosure, the following method of representation of fluorine-containing compositions and concentration ranges is used. The concentration limits for all oxides (e.g. SiO2, B203,

Na20, etc.) are presented under the assumption that the respective cations (such as, for example, silicon [Si], boron [B], sodium [Na'], etc.) are initially presented in the form of the corresponding oxides.

When fluorine is present, for the purposes of calculating the concentration of components of the composition, some part of the oxygen in the oxide is equivalently replaced with fluorine (i.e. one atom of oxygen is replaced with two atoms of fluorine}. The fluorine is assumed to be present in the form of silicon fluoride (SiF4); accordingly, the total sum of all oxides plus SiF, is assumed to be 100 mole percent or 100 weight percent in all compositions.

[0034] The density of the glasses at room temperature was determined using the buoyancy method of

ASTM €693-93(2013). The estimated error of the density measurements was 0.001 g/cm}.

[0035] The term "liquidus temperature” (Tug) is used herein to refer to a temperature above which the glass composition is completely liquid with no crystallization of constituent components of the glass.

Unless otherwise specified, liquidus temperature was measured in accordance with ASTM 829-81 (2015), titled "Standard Practice for Measurement of Liquidus Temperature of Glass by the Gradient

Furnace Method."

[0036] As used herein, the term "liquidus viscosity” (Tug) refers to the viscosity of a molten glass at the liquidus temperature. Unless specified otherwise, a liquidus viscosity value disclosed in this application is determined by the following method. First, the liquidus temperature of the glass is measured in accordance with ASTM C829-81 (2015), titled "Standard Practice for Measurement of Liquidus

Temperature of Glass by the Gradient Furnace Method." Next, the viscosity of the glass at the liquidus temperature is measured in accordance with ASTM C965-96 (2012), titled "Standard Practice for

Measuring Viscosity of Glass Above the Softening Point". The term “Vogel-Fulcher-Tammann (VFT) relation," as used herein, describes the temperature dependence of the viscosity and is represented by the following equation: logm)=A+8B/(T- To)

where 1 is viscosity, and A, B and To are empirical parameters. To determine A, B, and To, the viscosity of the glass composition is measured over a given temperature range. The raw data of viscosity versus temperature is then fit with the VFT equation by least-squares fitting to obtain A, B, and To. With these values, a viscosity point (e.g., 200 P Temperature, 35000 P Temperature, and 200000 P Temperature) at any temperature above the softening point may be calculated.

[0037] The term "a," or "02030," as used herein, refers to the average coefficient of linear thermal expansion (CTE) of the glass composition over a temperature range from 20 °C to 300 °C. CTE is expressed in units of 107/°C and is measured by using a horizontal dilatometer (push-rod dilatometer) in accordance with ASTM £228-11. The numeric measure of tis a linear average value in a specified temperature range AT (e.g., 20 °C to 300 °C) expressed as a=AL/(LAT), where Lg is the linear size of a sample at some temperature within or near the measured range, and L is the change in the linear size {AL) in the measured temperature range AT.

[0038] The terms “modulus” and “elastic modulus” refer to Young's modulus at room temperature.

The Young's modulus E, shear modulus (G), and the Poisson's ratio (u) are measured by Resonant

Ultrasound Spectroscopy at room temperature, using a Quasar RUSpec 4000 available from ITW Indiana

Private Limited, Magnaflux Division using the technique set forth in ASTM E2001-13, titled "Standard

Guide for Resonant Ultrasound Spectroscopy for Defect Detection in Both Metallic and Non-metallic

Parts.”.

[0039] The glass transition temperature (Tg) is measured by differential scanning calorimeter (DSC) by heating glass samples initially at room temperature at a rate of 10 K/min .

[0040] The term "softening point” (T.or} refers to the temperature at which the viscosity of the glass composition is 107° Poise. The softening point of the glass compositions was determined using the fiber elongation method of ASTM C336-71(2015) or a parallel plate viscosity (PPV) method which measures the viscosity of inorganic glass from 107 to 10° poise as a function of temperature, similar to ASTM

C1351M.

[0041] The term "annealing point" (An.P.] refers to the temperature determined according to ASTM

C598-93(2013), at which the viscosity of a glass is approximately 1073? Poise.

[0042] The terms "strain point" and "Tstrain" refer to the temperature determined according to ASTM 598-93, at which the viscosity of a glass at a given glass composition is approximately 1077 Poise.

[0043] In the mathematical formulas used in the present disclosure, the term "min(A, B)" means the lesser of the values A and B, and the term "max(A, B) means the greater of the quantities A and B, where

"A" and "B" may be any quantities {concentrations of components, values of properties, etc.) The term "abs{X)" means absolute value of a quantity X.

[0044] The glass composition may include silica (Si0,}. In embodiments of the glass compositions disclosed herein, SiO, is the primary constituent of the glass network. Pure SiO; has a relatively high specific modulus, a low CTE, and a high annealing point. However, pure SiO; also has a high melting point. If the concentration of SiO in a glass composition is too high, the formability of the glass composition may be diminished as high concentrations of SiO, increase the difficulty in melting the glass, which, in turn, adversely impacts the formability of the glass. Accordingly, the content of silica is limited. In embodiments, the glass composition may contain silica (SiO2} in an amount from greater than or equal to 54.0 mol.% to less than or equal to 84.0 mol.% and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass composition may contain SiO; in an amount greater than or equal to 54.0 mol.%, greater than or equal to 55.0 mol.%, greater than or equal to 60.0 mol.%, greater than or equal to 63.9 mol.%, greater than or equal to 64.5 mol.%, greater than or equal to 69.0 mol.%, greater than or equal to 70.0 mol.%, greater than or equal to 74.0 mol.%, or greater than or equal to 79.0 mol.%. In some other embodiments, the glass composition may contain SiO; in an amount less than or equal to 84.0 mol.%, less than or equal to 80.0 mol.%, less than or equal to 79.0 mol.%, less than or equal to 75.0 mol.%, less than or equal to 74.4 mol.%, less than or equal to 74.0 mol.%, less than or equal to 70.0 mol.%, less than or equal to 69.0 mol.%, or less than or equal to 55.0 mol.%. In some more embodiments, the glass composition may contain SiO; in an amount greater than or equal to 60.0 mol.% and less than or equal to 80.0 mol.%, greater than or equal to 60.0 mol.% and less than or equal to 75.0 mol.%, greater than or equal to 63.9 mol.% and less than or equal to 74.4 mol.%, greater than or equal to 64.5 mol.% and less than or equal to 74.5 mol.%, greater than or equal to 54.0 mol.% and less than or equal to 84.0 mol.%, greater than or equal to 54.0 mol.% and less than or equal to 55.0 mol.%, greater than or equal to 55.0 mol.% and less than or equal to 69.0 mol.%, greater than or equal to 60.0 mol.% and less than or equal to 69.0 mol.%, greater than or equal to 63.9 mol.% and less than or equal to 69.0 mol.%, greater than or equal to 64.5 mol.% and less than or equal to 69.0 mol.%, greater than or equal to 69.0 mol.% and less than or equal to 84.0 mol.%, greater than or equal to 69.0 mol.% and less than or equal to 70.0 mol.%.

[0045] The glass composition may include boron oxide (B03). Like SiO, Al203, and P,0s, B20:3 may be added to the glass composition as a network former. However, it has been found that additions of boron significantly reduce diffusivity of alkali ions in the glass, which, in turn, adversely impacts the ion exchange performance of the resultant glass. The addition of B203 in some amounts may help to decrease the viscosity of a glass-forming melt, therefore decreasing the temperature required for melting and forming. However, if too much B20: is added, volatility may occur at the surface of a glass melt, resulting in compositional inhomogeneity or localized reductions in the viscosity at the liquidus temperature for areas of the glass melt. Further, the addition of too much B203 may adversely affect the annealing point of the glass composition. Accordingly, the content of boron oxide is preferably limited, or glass compositions may be substantially free of B203. in embodiments, the glass composition may contain boron oxide (B20:3} in an amount from greater than or equal to 0.0 mol.% to less than or equal to 10.0 mol.% and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass composition may contain BO: in an amount greater than or equal to 0.0 mol.%, greater than or equal to 5.0 mol.%, greater than or equal to 7.0 mol.%, greater than or equal to 8.0 mol.%, or greater than or equal to 9.0 mol.%. In some other embodiments, the glass composition may contain B203 in an amount less than or equal to 10.0 mol.%, less than or equal to 9.0 mol.%, less than or equal to 8.0 mol.%, less than or equal to 7.0 mol.%, less than or equal to 5.0 mol.%, less than or equal to 3.8 mol.%, less than or equal to 3.0 mol.%, less than or equal to 0.8 mol.%, or less than or equal to 0.7 mol.%. In some more embodiments, the glass composition may contain B>Os in an amount greater than or equal to 0.0 mol.% and less than or equal to 3.8 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 0.8 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 0.7 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.%, greater than or equal to 5.0 mol.% and less than or equal to 7.0 mol.%, greater than or equal to 7.0 mol.% and less than or equal to 10.0 mol.%, greater than or equal to 8.0 mol.% and less than or equal to 10.0 mol.%, greater than or equal to 8.0 mol.% and less than or equal to 9.0 mol.%.

[0046] The glass composition may include phosphorus oxide (P20s). Like SiO; and Al203, POs may be added to the glass composition as a network former, thereby reducing the meltability and formability of the glass composition. In some amounts, P2Os can be added to the glass composition to increase the viscosity at the liquidus temperature, therefore limiting the propensity to crystallize during the cooling of the glass-forming melt. The addition of P,Os may also increase the diffusivity of ions in the glass composition during ion-exchange treatments, thereby increasing the efficiency of such treatments.

However, if too much P20; is added, the annealing point of the glass may be reduced, the CTE may be increased, or phase separation may be induced upon cooling of the glass-forming melt. Accordingly, the content of phosphorus oxide is preferably limited, or glass compositions may be substantially free of

P.0s. In embodiments, the glass composition may contain phosphorus oxide (P,0s) in an amount from greater than or equal to 0.0 mol.% to less than or equal to 10.0 mol.% and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass composition may contain P2Os in an amount greater than or equal to 0.0 mol.%, greater than or equal to 1.1 mol.%, greater than or equal to 2.5 mol.%, greater than or equal to 5.0 mol.%, greater than or equal to 7.0 mol.%, greater than or equal to 8.0 mol.%, or greater than or equal to 9.0 mol.%. In some other embodiments, the glass composition may contain P2Os in an amount less than or equal to 10.0 mol.%, less than or equal to 9.0 mol.%, less than or equal to 8.0 mol.%, less than or equal to 7.0 mol.%, less than or equal to 5.0 mol.%, less than or equal to 4.0 mol.%, less than or equal to 3.4 mol.%, or less than or equal to 3.0 mol.%. In some more embodiments, the glass composition may contain P,Os in an amount greater than or equal to 0.0 mol. % and less than or equal to 4.0 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 3.4 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.%, greater than or equal to 1.1 mol.% and less than or equal to 2.99 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.%, greater than or equal to 1.1 mol.% and less than or equal to 3.0 mol.%, greater than or equal to 5.0 mol.% and less than or equal to 7.0 mol.%.

[0047] The glass composition may have limitations for the amount of rare earth metal oxides. Rare earth metal oxides, especially yttrium oxide (Y203), can be added to the glass composition to increase the specific modulus, annealing and strain points, at the same time decreasing the high-temperature viscosity and, thus, allowing for melting of the glass at a lower temperature more compatible with the conventional refractories. However, when the content of REmO, is high, it may adversely increase the liquidus temperature because of crystallization of refractory minerals, such as rare earth metal aluminates (RE3AlO}, silicates (RE;SiOs, RE2Si20;} and others, which may, in turn, decrease the liquidus viscosity. Accordingly, the content of rare earth metal oxides is preferably limited, or glass compositions may be substantially free of REO.

[0048] in some other embodiments, the glass composition may contain rare earth metal oxides REmOn in an amount less than or equal to 5.0 mol.%, less than or equal to 3.0 mol.%, or less than or equal to 2.5 mol.%. In some more embodiments, the glass composition may contain REmO, in an amount greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.%, or greater than or equal to 0.0 mol.% and less than or equal to 2.5 mol.%.

[0049] The glass composition may include fanthanum oxide (La203}. Lanthanum oxide can be added to the glass compositions to increase the annealing and strain points, while at the same time decreasing the melting temperature. However, adding lanthanum oxide may decrease the liquidus viscosity and specific modulus of the glass. Accordingly, the content of lanthanum oxide is preferably limited, or glass compositions may be substantially free of La20:. In embodiments, the glass composition may contain lanthanum oxide (La,03) in an amount from greater than or equal to 0.0 mol.% to less than or equal to 5.0 mol.% and all ranges and sub-ranges between the foregoing values. In some other embodiments, the glass composition may contain La;0; in an amount less than or equal to 5.0 mol.%, less than or equal to 2.5 mol.%, or less than or equal to 0.7 mol.%. In some more embodiments, the glass composition may contain La20: in an amount greater than or equal to 0.0 mol.% and less than or equal to 0.7 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.%.

[0050] Glass composition may include alkali metal oxides (Alk.0). Alkali metal oxides can be added to the glass compositions to decrease the liquidus temperature and high-temperature viscosity, maintaining high liquidus viscosity. Also, adding Alk-O can increase the solubility of high-modulus species, such as, for example, TiO2, ZrO», Y20:3 and others, thus indirectly increasing the specific modulus.

Also, in presence of boron oxide (B20:3)}, alkali metal oxides may transform the boron atoms from trigonal to tetrahedral form, which may also indirectly increase the specific modulus of glass. [0051} In embodiments, the glass composition may contain alkali metal oxides (Alk20)} in an amount from greater than or equal to 0.0 mol.% to less than or equal to 12.0 mol.% and all ranges and sub- ranges between the foregoing values. In some embodiments, the glass composition may contain alkali metal oxides Alk;O in an amount greater than or equal to 0.0 mol.%, greater than or equal to 0.5 mol.%, or greater than or equal to 2.5 mol.%. In some other embodiments, the glass composition may contain

Alk20 in an amount less than or equal to 12.0 mol.%, less than or equal to 10.0 mol.%, less than or equal to 9.0 mol.%, less than or equal to 8.0 mol.%, less than or equal to 6.0 mol.%. In some more embodiments, the glass composition may contain Alk:O in an amount greater than or equal to 0.0 mol.% and less than or equal to 12.0 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 8.0 mol.%, greater than or equal to 1.0 mol.% and less than or equal to 8.0 mol.%, greater than or equal to 2.0 mol.% and less than or equal to 7.0 mol.%.

[0052] The glass composition may include lithium oxide (Li20). Li20 lowers the viscosity of a glass, which enhances the melting behavior, formability, and the Young's modulus, and may enable ion exchangeability. However, when too much Li;0 is added, the CTE of the glass increases and the strain point decreases. Further, if the amount of Li>O is too high, Li2O may cause crystallization of undesired species such as spodumene (LIAI(SiOs);) which may reduce the viscosity at the liquidus temperature and, therefore, increase the critical cooling rate, which may cause crystallization of the glass-forming melt when cooling. Accordingly, the content of lithium oxide is preferably limited, or glass compositions may be substantially free of Li20. In embodiments, the glass composition may contain lithium oxide (Li20) in an amount from greater than or equal to 0.0 mol.% to less than or equal to 10.0 mol.% and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass composition may contain Li2O in an amount greater than or equal to 0.0 mol.%, greater than or equal to 0.3 mol.%, greater than or equal to 0.5 mol.%, greater than or equal to 2.8 mol.%, greater than or equal to 3.0 mol.%, greater than or equal to 3.2 mol.%, greater than or equal to 5.0 mol.%, greater than or equal to 7.0 mol.%, greater than or equal to 8.0 mol.%, or greater than or equal to 9.0 mol.%. in some other embodiments, the glass composition may contain Li20 in an amount less than or equal to 10.0 mol.%, less than or equal to 9.0 mol.%, less than or equal to 8.0 mol.%, less than or equal to 7.8 mol.%, less than or equal to 7.5 mol.%, less than or equal to 7.4 mol.%, less than or equal to 7.0 mol.%, less than or equal to 6.2 mol.%, less than or equal to 6.0 mol.%, or less than or equal to 5.0 mol.%. In some more embodiments, the glass composition may contain Li20 in an amount greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 7.8 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 7.4 mol.%, greater than or equal to 0.3 mol.% and less than or equal to 7.5 mol.%, greater than or equal to 0.5 mol.% and less than or equal to 7.5 mol.%, greater than or equal to 2.8 mol.% and less than or equal to 7.0 mol.%, greater than or equal to 3.0 mol.% and less than or equal to 6.32 mol.%, greater than or equal to 3.2 mol.% and less than or equal to 6.2 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.%, greater than or equal to 0.3 mol.% and less than or equal to 5.0 mol.%, greater than or equal to 0.5 mol.% and less than or equal to 5.0 mol.%, greater than or equal to 3.0 mol.% and less than or equal to 10.0 mol.%, greater than or equal to 3.0 mol.% and less than or equal to 5.0 mol.%, greater than or equal to 3.2 mol.% and less than or equal to 5.0 mol.%, greater than or equal to 5.0 mol.% and less than or equal to 6.0 mol.%.

[0053] The glass composition may include sodium oxide {Na;0). Na20 lowers the viscosity of a glass, which enhances the melting behavior, formability, and may enable ion exchangeability. However, when too much Na20 is added, the CTE of the glass composition increases, the Young's modulus decreases,

and the strain point decreases. Accordingly, the content of sodium oxide is preferably limited, or glass compositions may be substantially free of Na20. In embodiments, the glass composition may contain sodium oxide (Na20) in an amount from greater than or equal to 0.0 mol.% to {ess than or equal to 10.0 mol.% and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass composition may contain Na20 in an amount greater than or equal to 0.0 mol.%, greater than or equal to 0.4 mol.%, greater than or equal to 0.9 mol.%, greater than or equal to 1.0 mol.%, greater than or equal to 5.0 mol.%, greater than or equal to 7.0 mol.%, greater than or equal to 8.0 mol.%, or greater than or equal to 9.0 mol.%. In some other embodiments, the glass composition may contain Na20 in an amount less than or equal to 10.0 mol.%, less than or equal to 9.0 mol.%, less than or equal to 8.0 mol.%, less than or equal to 7.0 mol.%, less than or equal to 5.0 mol.%, less than or equal to 4.8 mol.%, less than or equal to 4.4 mol.%, or less than or equal to 4.0 mol.%. In some more embodiments, the glass composition may contain Na20 in an amount greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 4.8 mol.%, greater than or equal to 0.4 mol.% and less than or equal to 4.4 mol.%, greater than or equal to 0.9 mol.% and less than or equal to 4.0 mol.%, greater than or equal to 1.0 mol.% and less than or equal to 3.98 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.%, greater than or equal to 0.0 mol.% and fess than or equal to 4.0 mol.%, greater than or equal to 0.4 mol.% and less than or equal to 4.0 mol.%, greater than or equal to 0.9 mol.% and less than or equal to 10.0 mol.%, greater than or equal to 1.0 mol.% and less than or equal to 4.0 mol.%, greater than or equal to 5.0 mol.% and less than or equal to 10.0 mol.%, greater than or equal to 5.0 mol.% and less than or equal to 7.0 mol.%.

[0054] The glass composition may include zinc oxide (ZnO). Zinc oxide can be added to the glass composition to increase the specific modulus, similar to MgO. However, when the content of ZnQ is high, it may cause crystallization of refractory minerals, such as, for example, gahnite (ZnAl,O4), or liquid-liquid phase separation of the glass forming melt. Accordingly, the content of zinc oxide is preferably limited, or glass compositions may be substantially free of ZnO. In embodiments, the glass composition may contain zinc oxide (ZnO) in an amount from greater than or equal to 0.0 mol.% to less than or equal to 5.0 mol.% and all ranges and sub-ranges between the foregoing values. In some other embodiments, the glass composition may contain ZnO in an amount less than or equal to 5.0 mol.%, less than or equal to 3.0 mol.%, less than or equal to 2.5 mol.%, or less than or equal to 2.0 mol.%. In some more embodiments, the glass composition may contain ZnO in an amount greater than or equal to 0.0 mol.% and fess than or equal to 3.0 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 2.0 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.%.

[0055] The glass composition may include zirconia (ZrO;). Zirconia can be added to the glass compositions to increase the specific modulus. However, addition of even small amounts of zirconia to alumina-rich compositions may cause crystallization of refractory minerals, such as zircon (ZrSiO4) or zirconia (ZrO2}, which may increase the liquidus temperature and decrease the liquidus viscosity.

Accordingly, the content of zirconia is preferably limited, or glass compositions may be substantially free of ZrO,. In embodiments, the glass composition may contain zirconia (ZrO-) in an amount from greater than or equal to 0.0 mol.% to less than or equal to 5.0 mol.% and all ranges and sub-ranges between the foregoing values. In some other embodiments, the glass composition may contain ZrO; in an amount fess than or equal to 5.0 mol.%, less than or equal to 2.5 mol.%, less than or equal to 1.5 mol.%, or less than or equal to 0.5 mol.%. In some more embodiments, the glass composition may contain ZrO. in an amount greater than or equal to 0.0 mol.% and less than or equal to 0.5 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.%.

[0056] The glass composition may include barium oxide (BaO). The addition of BaO increases the viscosity at the liquidus temperature, therefore limiting the propensity to crystallize during the cooling of the glass-forming melt. However, when too much BaO is added, the density and the CTE of the glass increases. Accordingly, the content of barium oxide is preferably limited, or glass compositions may be substantially free of BaO. In embodiments, the glass composition may contain barium oxide (BaO) in an amount from greater than or equal to 0.0 mol.% to less than or equal to 10.0 mol.% and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass composition may contain

BaO in an amount greater than or equal to 0.0 mol.%, or greater than or equal to 5.0 mol.%. In some other embodiments, the glass composition may contain BaO in an amount less than or equal to 10.0 mol.%, less than or equal to 5.0 mol.%, less than or equal to 3.0 mol.%, less than or equal to 1.0 mol.%, less than or equal to 0.7 mol.%, or less than or equal to 0.625 mol.%. In some more embodiments, the glass composition may contain BaO in an amount greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 1.0 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 0.7 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 0.625 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.%. [0057} The glass composition may include strontium oxide (SrO). SrO lowers the viscosity of a glass, which enhances the melting behavior, formability, and the strain point of the glass composition. in some embodiments, the addition of SrO increases the viscosity at the liquidus temperature, therefore limiting the propensity to crystallize during the cooling of the glass-forming melt. However, when too much SrO is added, the density and the CTE of the glass increase. Accordingly, the content of strontium oxide is preferably limited, or glass compositions may be substantially free of SrO. In embodiments, the glass composition may contain strontium oxide (SrO} in an amount from greater than or equal to 0.0 mol.% to less than or equal to 10.0 mol.% and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass composition may contain SrO in an amount greater than or equal to 0.0 mol.%, greater than or equal to 0.49 mol.%, greater than or equal to 5.0 mol.%, greater than or equalto 7.0 mol.%, greater than or equal to 8.0 mol.%, or greater than or equal to 9.0 mol.%. In some other embodiments, the glass composition may contain SrO in an amount less than or equal to 10.0 mol.%, less than or equal to 9.0 mol.%, less than or equal to 8.0 mol.%, less than or equal to 7.0 mol.%, less than or equal to 5.0 mol.%, less than or equal to 1.5 mol.%, less than or equal to 1.19 mol.%, less than or equal to 1.1 mol.%, or less than or equal to 0.95 mol.%. In some more embodiments, the glass composition may contain SrO in an amount greater than or equal to 0.0 mol.% and less than or equal to 1.5 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 1.1 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 0.95 mol.%, greater than or equal to 0.49 mol.% and less than or equal to 1.19 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.%, greater than or equal to 0.49 mol.% and less than or equal to 0.95 mol.%, greater than or equal to 5.0 mol.% and less than or equal to 7.0 mol.%, greater than or equal to 8.0 mol.% and less than or equal to 9.0 mol.%.

[0058] The glass composition may include magnesia (MgO). MgO lowers the viscosity of a glass, which enhances the melting behavior, formability, the strain point, and the Young's modulus, and may improve ion exchangeability. However, when too much MgO is added, the density and the CTE of the glass increases. Further, if the amount of MgO is too high, MgO may cause crystallization of refractory species such as cordierite (Mg2Al4Si5O1s} which may reduce the viscosity at the liquidus temperature and, therefore, increase the critical cooling rate, which may cause crystallization of the glass-forming melt when cooling. Accordingly, the content of magnesia is preferably limited, or glass compositions may be substantially free of MgO. In embodiments, the glass composition may contain magnesia (MgO) in an amount from greater than or equal to 0.0 mol.% to less than or equal to 10.0 mol.% and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass composition may contain

MgO in an amount greater than or equal to 0.0 mol.%, greater than or equal to 0.4 mol.%, greater than or equal to 1.0 mol.%, greater than or equal to 2.0 mol.%, greater than or equal to 5.0 mol.%, greater than or equal to 7.0 mol.%, greater than or equal to 8.0 mol.%, or greater than or equal to 9.0 mol.%. In some other embodiments, the glass composition may contain MgO in an amount less than or equal to 10.0 mol.%, less than or equal to 9.0 mol.%, less than or equal to 8.0 mol.%, less than or equal to 7.0 mol.%, less than or equal to 6.0 mol.%, less than or equal to 5.0 mol.%, less than or equal to 4.4 mol.%, less than or equal to 4.3 mol.%, or less than or equal to 4.0 mol.%. In some more embodiments, the glass composition may contain MgO in an amount greater than or equal to 0.0 mol.% and less than or equal to 6.0 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 4.3 mol.%, greater than or equal to 0.4 mol.% and less than or equal to 4.4 mol.%, greater than or equal to 1.0 mol.% and less than or equal to 4.0 mol.%, greater than or equal to 1.99 mol.% and less than or equal to 4.31 mol.%, greater than or equal to 0.0 mol.% and fess than or equal to 10.0 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 4.0 mol.%, greater than or equal to 0.4 mol.% and less than or equal to 4.0 mol.%, greater than or equal to 5.0 mol.% and less than or equal to 6.0 mol.%.

[0059] The glass composition may include calcium oxide (CaO). CaO lowers the viscosity of a glass, which enhances the melting behavior, formability, the strain point, and the Young's modulus, and may improve ion exchangeability. However, when too much CaO is added, the density and the CTE of the glass increases. Further, if the amount of CaO is too high, CaO may cause crystallization of undesired species such as anorthite (CaAl SiOz) which may reduce the viscosity at the liquidus temperature and, therefore, increase the critical cooling rate, which may cause crystallization of the glass-forming melt when cooling. Accordingly, the content of calcium oxide is preferably limited, or glass compositions may be substantially free of CaO. In embodiments, the glass composition may contain calcium oxide (CaO) in an amount from greater than or equal to 0.0 mol.% to less than or equal to 10.0 mol.% and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass composition may contain CaO in an amount greater than or equal to 0.0 mol.%, greater than or equal to 0.3 mol.%, greater than or equal to 1.0 mol.%, greater than or equal to 1.4 mol.%, greater than or equal to 1.9 mol.%, greater than or equal to 3.0 mol.%, greater than or equal to 5.0 mol.%, greater than or equal to 7.0 mol.%, greater than or equal to 8.0 mol.%, or greater than or equal to 9.0 mol.%. In some other embodiments, the glass composition may contain CaO in an amount less than or equal to 10.0 mol.%, less than or equal to 9.0 mol.%, less than or equal to 8.0 mol.%, less than or equal to 7.5 mol.%, less than or equal to 7.0 mol.%, less than or equal to 6.0 mol.%, less than or equal to 5.6 mol.%, or less than or equal to 5.0 mol.%. In some more embodiments, the glass composition may contain CaO in an amount greater than or equal to 0.0 mol.% and tess than or equal to 10.0 mol.%, greater than or equal to 0.3 mol.% and less than or equal to 7.5 mol.%, greater than or equal to 1.0 mol.% and less than or equal to 6.0 mol.%, greater than or equal to 1.4 mol.% and less than or equal to 5.6 mol.%, greater than or equal to 1.9 mol.% and less than or equal to 5.0 mol.%, greater than or equal to 2.5 mol.% and less than or equal to 5.17 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.%, greater than or equal to 0.3 mol.% and less than or equal to 5.0 mol.%, greater than or equal to 1.0 mol.% and fess than or equal to 5.0 mol.%, greater than or equal to 1.4 mol.% and less than or equal to 5.0 mol.%, greater than or equal to 1.9 mol.% and less than or equal to 10.0 mol.%, greater than or equal to 5.0 mol.% and less than or equal to 5.6 mol.%.

[0060] The glass composition may include alumina (Al,03). ALO; may serve as a glass network former, similar to SiO2. Al203 may increase the viscosity of the glass composition due to its tetrahedral coordination in a glass melt formed from a glass composition, decreasing the formability of the glass compositions when the amount of ALO; is too high. In some embodiments when the concentration of

A10: is balanced against the concentration of SiO; and the concentration of alkali oxides in the glass composition, Al;Os can reduce the liquidus temperature of the glass melt, thereby reducing the glass liquidus viscosity and improving the compatibility with certain forming process. However if the amount of Al20: is too high, particularly in excess of the total modifier content (alkali oxides and alkaline earth oxides}, Al;03 may cause crystallization of refractory species such as corundum (AL, Os) or aluminosilicates like mullite (3Al,03:2510,) which may reduce the viscosity at the liquidus temperature and, therefore, increase the critical cooling rate, which may cause crystallization of the glass-forming melt when cooling. Accordingly, the content of alumina is preferably limited. In embodiments, the glass composition may contain alumina (Al,Os) in an amount from greater than or equal to 10.0 mol.% to less than or equal to 19.0 mol.% and all ranges and sub-ranges between the foregoing values. in some embodiments, the glass composition may contain Al203 in an amount greater than or equal to 10.0 mol.%, greater than or equal to 10.5 mol.%, greater than or equal to 11.0 mol.%, greater than or equal to 12.0 mol.%, greater than or equal to 12.34 mol.%, greater than or equal to 15.0 mol.%, greater than or equal to 16.0 mol.%, greater than or equal to 17.0 mol.%, or greater than or equal to 18.0 mol.%. In some other embodiments, the glass composition may contain Al203 in an amount less than or equal to 19.0 mol.%, less than or equal to 19.0 mol.%, less than or equal to 18.0 mol.%, less than or equal to 17.0 mol.%, less than or equal to 16.0 mol.%, less than or equal to 15.0 mol.%, or less than or equal to 11.0 mol.%. In some more embodiments, the glass composition may contain ALO; in an amount greater than or equal to 10.0 mol. % and less than or equal to 20.0 mol.%, greater than or equal to 10.0 mol.% and less than or equal to 18.0 mol.%, greater than or equal to 10.0 mol.% and less than or equal to 17.0 mol.%, greater than or equal to 10.5 mol.% and less than or equal to 18.0 mol.%, greater than or equal to 11.0 mol.% and tess than or equal to 18.0 mol.%, greater than or equal to 12.0 mol.% and less than or equal to 18.0 mol.%, greater than or equal to 12.34 mol.% and less than or equal to 18.0 mol.%, greater than or equal to 10.0 mol.% and less than or equal to 11.0 mol.%, greater than or equal to 10.5 mol.% and less than or equal to 20.0 mol.%, greater than or equal to 10.5 mol.% and less than or equal to 11.0 mol.%, greater than or equal to 11.0 mol.% and less than or equal to 20.0 mol.%, greater than or equal to 11.0 mol.% and less than or equal to 15.0 mol.%, greater than or equal to 12.0 mol.% and less than or equal to 20.0 mol.%, greater than or equal to 12.0 mol.% and less than or equal to 15.0 mol.%.

[0061] Glass composition may include fluorine (F). Fluorine can be added in a small amount to the glass compositions of the present disclosure as a fining agent. However, fluorine may cause environmental concern. Accordingly, the content of fluorine is preferably limited, or glass compositions may be substantially free of fluorine. In embodiments, the glass composition may contain fluorine (F} in an amount from greater than or equal to 0.0 at.% to less than or equal to 3.0 at.% and all ranges and sub- ranges between the foregoing values. in some other embodiments, the glass composition may contain F in an amount less than or equal to 3.0 at.%, less than or equal to 2.0 at.%, less than or equal to 1.0 at.%, less than or equal to 0.5 at.%, or less than or equal to 0.05 at.%. In some more embodiments, the glass composition may contain F in an amount greater than or equal to 0.0 at.% and less than or equal to 3.0 at.%, greater than or equal to 0.0 at.% and less than or equal to 0.5 at.%, greater than or equal to 0.0 at.% and less than or equal to 0.05 at.%.

[0062] In some embodiments, the glass composition may have a sum of Ca0+MgO greater than or equal to 0.0 mol.%, or greater than or equal to 5.0 mol.%. In some other embodiments, the glass composition may have a sum of Ca0+MgO less than or equal to 9.0 mol.% or less than or equal to 5.0 mol.%. In some more embodiments, the glass composition may have a sum of CaO+MgQ greater than or equal to 0.0 mol.% and less than or equal to 9.0 mol.%, or greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.®%.

[0063] In some embodiments, the glass composition may have a sum of CaO+SrO greater than or equal to 0.0 mol.%, greater than or equal to 2.0 mol.%, or greater than or equal to 5.0 mol.%. In some other embodiments, the glass composition may have a sum of Ca0+5r0 less than or equal to 9.0 mol.% or less than or equal to 5.0 mol.%. In some more embodiments, the glass composition may have a sum of

CaO+SrO greater than or equal to 0.0 mol.% and less than or equal to 9.0 mol.%, or greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.%, greater than or equal to 2.0 mol.% and less than or equal to 9.0 mol.%, or greater than or equal to 2.0 mol.% and less than or equal to 5.0 mol.%.

[0064] In some embodiments, the glass composition may have a sum of LiO+MgO greater than or equal to 0.0 mol.%, or greater than or equal to 5.0 mol.%. in some other embodiments, the glass composition may have a sum of Li20+MgO less than or equal to 10.0 mol.%, less than or equal to 8.0 mol.%, or less than or equal to 5.0 mol.%. In some more embodiments, the glass composition may have a sum of Li20+MgO greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 8.0 mol.%, or greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.%, greater than or equal to 5.0 mol.% and less than or equal to 10.0 mol.%, or greater than or equal to 5.0 mol.% and less than or equal to 8.0 mol. %.

[0065] In some embodiments, the glass composition may have a sum of Li20+Na20 greater than or equal to 0.0 mol.%, greater than or equal to 0.5 mol.%, greater than or equal to 4.0 mol.%, or greater than or equal to 5.0 mol.%. In some other embodiments, the glass composition may have a sum of

Li20+Na20 less than or equal to 9.0 mol.% or less than or equal to 5.0 mol.%. in some more embodiments, the glass composition may have a sum of Li20+Na20 greater than or equal to 0.0 mol.% and less than or equal to 9.0 mol.%, or greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.%, greater than or equal to 0.5 mol.% and less than or equal to 9.0 mol.%, or greater than or equal to 0.5 mol.% and less than or equal to 5.0 mol.%, greater than or equal to 4.0 mol.% and less than or equal to 9.0 mol.%.

[0066] in some embodiments, the glass composition may have a sum of MgO+Ca0+5r0+Ba0+Zn0 greater than or equal to 0.0 mol.%, greater than or equal to 0.5 mol.%, or greater than or equal to 1.0 mol.%.

[0067] In some embodiments, the glass composition may have a sum of MgO+Zn0 greater than or equal to 0.0 mol.%, greater than or equal to 1.0 mol.%, or greater than or equal to 5.0 mol.%. In some other embodiments, the glass composition may have a sum of MgO+Zn0 less than or equal to 10.0 mol.%, less than or equal to 5.0 mol.%, or less than or equal to 4.0 mol.%. In some more embodiments, the glass composition may have a sum of MgO+ZnO0 greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.%, or greater than or equal to 0.0 mol.% and less than or equal to 4.0 mol.%, greater than or equal to 1.0 mol.% and less than or equal to 10.0 mol.%, greater than or equal to 1.0 mol.% and less than or equal to 5.0 mol.%, or greater than or equal to 1.0 mol.% and less than or equal to 4.0 mol.%.

[0068] In some other embodiments, the glass composition may have a sum of ZrQ,+TiOx+FeO+Fe,03 less than or equal to 1.5 mol.%, less than or equal to 1.0 mol.%, or less than or equal to 0.021 mol.%. In some more embodiments, the glass composition may have a sum of ZrO2+TiO02+Fe0+Fe20:3 greater than or equal to 0.0 mol.% and less than or equal to 1.5 mol.%, greater than or equal to 0.0 mol.% and less than or equal to 1.0 mol.%, or greater than or equal to 0.0 mol.% and less than or equal to 0.021 mol.%.

[0069] In some embodiments, the glass composition may have limitations for min(RELO,,P20s). It was empirically found that in alumina-rich glasses, especially when the content of alumina exceeds the total content of alkali metal oxides, adding even small amounts of rare earth metal oxides (REmOn), especially yttrium oxide (Y20:}, together with P,Os may cause crystallization of rare earth metal phosphates, such as yttrium phosphate (YPOa), at high temperatures, which may raise the liquidus temperature and decrease the liquidus viscosity of glass. Accordingly, in some embodiments, it is preferable that the glass composition either contains only one of P,0s or REO, or is substantially free of both P2Os and REmOn. In some embodiments, the glass may have a value of min(REmO0,,P20s) greater than or equal to 0.00 mol.%, greater than or equal to 0.10 mol.%, or greater than or equal to 0.20 mol.%. In some other embodiments, the glass may have a value of min(RE+0,,P20s) less than or equal to 0.30 mol.%, less than or equal to 0.20 mol.%, less than or equal to 0.15 mol.%, or less than or equal to 0.10 mol.%. In some more embodiments, the glass may have a min(REm0,,P205) greater than or equal to 0.00 mol.% and less than or equal to 0.30 mol.%, greater than or equal to 0.00 mol.% and less than or equal to 0.20 mol.%, greater than or equal to 0.00 mol.% and less than or equal to 0.15 mol.%, or greater than or equal to 0.00 mol.% and less than or equal to 0.10 mol.%, greater than or equal to 0.10 mol.% and less than or equal to 0.30 mol.%, greater than or equal to 0.10 mol.% and less than or equal to 0.20 mol.%, or greater than or equal to 0.10 mol.% and less than or equal to 0.15 mol.%.

[0070] In some embodiments, the glass may have the specific modulus E/dgr from greater than or equal to 32.0 GPa-cm?/g to less than or equal to 35.1 GPa-cm?/g and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass may have the E/dgr greater than or equal to 32.0

GPa-cm?/g, greater than or equal to 32.5 GPa-cm?/g, greater than or equal to 33.0 GPa-cm?/g, greater than or equal to 33.9 GPa-cm?/g, greater than or equal to 34.0 GPa-cm?/g, greater than or equal to 34.5

GPa-cm®/g, greater than or equal to 34.7 GPa-cm?/g, greater than or equal to 34.9 GPa-cm®/g, or greater than or equal to 35.0 GPa-cm?/g. In some other embodiments, the glass may have the E/dkr less than or equal to 35.1 GPa-cm?/g, less than or equal to 35.0 GPa-cm?/g, less than or equal to 34.9 GPa-cm?/g, less than or equal to 34.7 GPa-cm?/g, less than or equal to 34.5 GPa-cm?/g, less than or equal to 34.0

GPa-cm?/g, less than or equal to 33.0 GPa-cm?/g, or less than or equal to 32.5 GPa-cm3/g. In some more embodiments, the glass may have the E/dxr greater than or equal to 32.0 GPa-cm3/g and less than or equal to 35.1 GPa-cm?/g, greater than or equal to 32.5 GPa-cm?/g and less than or equal to 35.1

GPa-cm?/g, greater than or equal to 33.0 GPa-cm?/g and less than or equal to 34.0 GPa-cm®/g.

[0071] In some embodiments, the glass may have an annealing point (An.P.) from greater than or equal to 650 °C to less than or equal to 800 °C and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass may have an An.P. greater than or equal to 650 °C, greater than or equal to 680 °C, greater than or equal to 700 °C, greater than or equal to 703 °C, greater than or equal to 730 °C, greater than or equal to 740 °C, greater than or equal to 750 °C, greater than or equal to 760 °C, or greater than or equal to 780 °C. In some other embodiments, the glass may have an An.P. less than or equal to 800 °C, less than or equal to 780 °C, less than or equal to 760 °C, less than or equal to 750 °C, less than or equal to 740 °C, less than or equal to 729 °C, or less than or equal to 700 °C. In some more embodiments, the glass may have an An.P. greater than or equal to 650 °C and less than or equal to 800 °C, greater than or equal to 650 °C and less than or equal to 700 °C, greater than or equal to 700 °C and less than or equal to 729 °C, greater than or equal to 703 °C and less than or equal to 729 °C, greater than or equal to 740 °C and less than or equal to 800 °C.

[0072] in some embodiments, the glass may have a temperature corresponding to a viscosity of 160,000 Poise (Tiss) from greater than or equal to 1093 °C to less than or equal to 1300 °C and all ranges and sub-ranges between the foregoing values. In some embodiments, the glass may have the

Tiso greater than or equal to 1093 °C, greater than or equal to 1100 °C, greater than or equal to 1150 °C, greater than or equal to 1240 °C, greater than or equal to 1250 °C, greater than or equal to 1260 °C, or greater than or equal to 1280 °C. In some other embodiments, the glass may have the Tigow less than or equal to 1300 °C, less than or equal to 1280 °C, less than or equal to 1260 °C, less than or equal to 1250 °C, less than or equal to 1240 °C, less than or equal to 1209 °C, less than or equal to 1150 °C, or less than or equal to 1100 °C. In some more embodiments, the glass may have the Tiso greater than or equal to 1093 °C and less than or equal to 1300 °C, greater than or equal to 1150 °C and less than or equal to 1209 °C, greater than or equal to 1250 °C and less than or equal to 1300 °C.

[0073] in some embodiments, the glass may have a logarithm of liquidus viscosity (log(q }}, where liquidus viscosity iq is expressed in units of Poise, greater than or equal to 5. or greater than or equal to 5.2.

[0074] in some embodiments, the glass may have an average linear thermal expansion coefficient of glass in the range 20-300°C 020300107 less than or equal to 40 K.

[0075] In some embodiments, the glass may have a temperature corresponding to a viscosity of 200

Poise (T20e)} less than or equal to 1750 °C. In some other embodiments, the glass may have a Tagop less than or equal to 1700 °C or less than or equal to 1650 °C and less than or equal to 1600 °C.

[0076] In some embodiments, the glass may have an aluminum-binding parameter Pa greater than or equalto-2.8.

[0077] In some embodiments, the glass may have a modifier-binding parameter Pmoa greater than or equal to -3, greater than or equal to -0.2, greater than or equal to 0.8, greater than or equal to 1.8, or greater than or equal to 2. In some other embodiments, the glass may have a modifier-binding parameter Pmod less than or equal to 2.8 or less than or equal to 2. In some more embodiments, the glass may have a Pm greater than or equal to -3 and less than or equal to 2.8, or greater than or equal to -3 and less than or equal to 2, greater than or equal to -0.2 and less than or equal to 2.8, or greater than or equal to -0.2 and less than or equal to 2, greater than or equal to 0.8 and less than or equal to 2.8, or greater than or equal to 0.8 and less than or equal to 2, greater than or equal to 1.8 and less than or equal to 2.8.

[0078] in some other embodiments, the glass may have an anorthite precipitation parameter Panor less than or equal to 10.

[0079] In some other embodiments, the glass may have a cristobalite precipitation parameter Pgs less than or equal to 28.

[0080] In some other embodiments, the glass may have a cordierite precipitation parameter Pod less than orequal to 5.

[0081] In some other embodiments, the glass may have a spodumene precipitation parameter Pood less than or equal to 7.5.

[0082] In some embodiments, the glass may have a quantity E/dgr - (92.5 - 0.05 * Tige} greater than or equal to 0.000.

[0083] Anorthite precipitation parameter Panon is a quantity calculated by the following formula (1):

Panort = min{CaO0+5r0+0.5*Ba0+Na20+0.5*K;0,A1203), (1)

where chemical formulas mean the amounts of corresponding components in the glass composition in mol.%.

[0084] The anorthite precipitation parameter Panort, as well as other precipitation parameters (Pcord,

Psgeg and Pest) described below, relate to empirically observed correlations between the glass composition and the liquidus temperature in cases when a specific crystalline phase (such as anorthite, cordierite, spodumene, cristobalite) was found to precipitate at the liquidus temperature. Without being bound to any specific theory, it is believed that these correlations are a consequence of chemical binding or association of specific oxides with each other in the glass forming melts, which, in turn, may form an atomic structure similar in structure to a crystalline phase with a tendency to precipitate from the melt.

[0085] Specifically, the anorthite precipitation parameter Panor accounts for oxides that form the mineral anorthite (CaAl:Si20s}, including oxides that can be soluble in anorthite in the solid state, thus forming solid solutions, also known as plagioclases. it is known from the literature (see, for example:

G.W.MOREY, Data of Geochemistry, 6th Edition, Chapter L: Phase Equilibrium Relations of the Common

Rock-Forming Oxides Except Water, United States Government Printing Office, Washington, 1964, 173 pages) and has been empirically observed in certain glasses of the present disclosure, that anorthite or plagioclase crystalline precipitates can contain (besides CaO, Al203 and/or SiO2}, sodium oxide (Na: 0), potassium oxide K;O, strontium oxide (SrO} and/or barium oxide (BaO), so that embodiments of potential crystalline precipitates related to anorthite can be represented by the chemical formulas

M;0*AL0:*3Si0, where MO refers to one or more of Na20 and KO, or MO*Al,0:*2Si0;, where MO refers to one or more of CaO, SrO and BaO. It has also been empirically observed that the solubility of

BaO and KO in these crystalline precipitates is, in most cases, somewhat less than the solubility of CaO,

SrO and Na20.

[0086] Without being bound to any specific theory, it is hypothesized that melts of some embodiments of the aluminosilicate glasses of the present disclosure may contain structural units with compositions similar to the compositions of anorthite and related crystalline precipitates. The greater the amount of such structural units in the melt is, the more likely it is that precipitation may occur, and, accordingly, the higher the temperature at which the corresponding crystalline precipitates may exist in equilibrium with the liquid phase.

[0087] Then, in embodiments of the present disclosure in which the content of SiO; in the glass composition is high enough to form anorthite or a related crystalline precipitate, it is hypothesized that the amount of such structural units (M,0*Al,05*3Si0; and MO*Al03*2Si02) that form in the melt of the glass composition can be roughly correlated with the lesser of the content of alumina (Al203} in mol.% and the total content of M20+MO in mol.% in the glass composition, i.e. as min{M20+MO, Al,03), where chemical formulas and abbreviations mean the content of corresponding oxides in glass in terms ofmol%.

[0088] Regarding the limited solubility of KO and BaO relative to CaO, SrO and Na20 in anorthite and related crystalline precipitates as noted above, an empirical factor of 0.5 was applied to the amounts of

K2O and BaO when formulating the anorthite precipitation parameter Panor. Accordingly, the sum {M20+MO), as stated above in the context of precipitation of anorthite and related crystalline phases, can be expressed as

M;0+MO = (Ca0+Sr0+0.5*Ba0+Na,0+0.5*K;0) (Hf).

[0089] Finally, the lesser of the sum (M20+MO}, as calculated by the formula (Il), and ALO; gives an estimate of the amount of structural units that, when present in a glass forming melt, may precipitate as anorthite or a related crystalline phase (e.g. plagioclase).

[0090] Based on the above reasoning, it is hypothesized that a higher value of the parameter Panon may indicate a higher probability of precipitating anorthite or related crystalline phases {e.g. plagioclase} at high temperatures, thus causing higher liquidus temperature. This means that in some embodiments of the present disclosure, to reduce the liquidus temperature of glass, it is preferable that the value of Panort is small.

[0091] Cordierite precipitation parameter Pcorg is a quantity calculated by the following formula (IH):

Peora = MgO+MnO+FeO, (Hil) where chemical formulas mean the amounts of corresponding components in the glass composition in mol.%.

[0092] The cordierite precipitation parameter Pq is designed to predict the probability of precipitation of cordierite and related crystalline phases from the glass forming melts of the present disclosure at high temperatures.

[0093] The chemical formula of cordierite is commonly known as 2MgO*2A103*5Si02, or Mg>2Al4SisO1s.

However, it has been empirically observed that when precipitating from the glass forming melts, variations of cordierite in which MnO and/or FeO isostructurally replace MgO (in whole or in part) can form. Accordingly, assuming the amount of alumina and silica in the glass composition of the is sufficient to bind all MgO, MnO and FeO, the value of Pq, as an estimate for predicting the tendency of precipitation of cordierite and related crystalline phases, can be presented as a sum of the concentrations of MgO, MnO, and FeO in the glass composition in mol.%, which gives the above- presented formula (IH).

[0094] itis hypothesized that if the value of Pora is high, cordierite {or a related crystalline phase) may possibly precipitate from the glass forming melts at high temperatures. Accordingly, in some embodiments of the present disclosure, the value of Pora is preferably limited.

[0095] Spodumene precipitation parameter Pod is a quantity calculated by the following formula (IV):

Pspod = min(Li2O0,Al03-K20-0.5*Na;0)}, (IV) where chemical formulas mean the amounts of corresponding components in mol.% in the glass composition.

[0096] The spodumene precipitation parameter Pod is designed to estimate the probability of precipitation of spodumene (LiAISi20;, or Li2O*Al203*4Si02} from the glass forming melts at high temperatures.

[0097] Without being bound to a specific theory, it is hypothesized that the probability of precipitating spodumene from the glass forming melts at high temperatures may correlate to the amount of structural units with atomic compositions similar to that of spodumene. If the amount of silica in an embodiment of a glass composition of the present disclosure is sufficient for the formation of such structural units, the amount of such structural units in the melt can be roughly correlated to the lesser of the concentrations of Li20 and AkO3, in mol.%, in the glass composition, mathematically expressed as

Pspos = min(Li20, AlO3). (V)

[0098] In addition, it has been empirically observed that if the glass composition contains significant amounts of Na20 and, especially, K20, precipitation of spodumene may be suppressed. Without being bound to a specific theory, it is hypothesized that this effect may be caused by chemical binding of the alumina in the glass forming melt with sodium and potassium oxides, thus making the bound alumina inactive in the reaction with Li20 and suppressing the precipitation of spodumene. To approximately account for this effect, the concentration of K,0 and half of the concentration of Na20 are deducted from the concentration of Al,Os when estimating the tendency of spodumene to precipitate from the melt. The term "Al20a" in the formula (V) above is thus replaced by (Al203 - K;0 - 0.5*Na20}, where the chemical formulas of oxides mean the concentrations of these oxides in the glass composition in mol.%.

After this substitution, formula (V) is modified to give formula (IV) above for Pspod.

[0099] it is hypothesized that if the value of Poe is high, spodumene may possibly precipitate from the glass forming melts at high temperatures. Accordingly, in some embodiments of the present disclosure, the value of Pd is preferably limited.

[00100] Cristobalite precipitation parameter Ps is a quantity calculated by the following formula (VI):

Perist = Si02-6% (Na, 0+K20)-4*Li,0-2*(Ca0+Sr0+Ba0)-2.5*Mg0, (Vi) where chemical formulas mean the amounts of corresponding components in the glass composition in mol.%.

[00101] The cristobalite precipitation parameter Ps: is introduced to estimate the probability of precipitation of the mineral cristobalite (SiO2} from the glass forming melts of the present disclosure at high temperatures.

[00102] Without being bound to a specific theory, it is hypothesized that the amount of SiO» in the glass composition that may potentially precipitate in the form of cristobalite correlates to the residual amount of silica remaining after binding with other oxides (i.e. alumina, alkali metal oxides and alkaline earth metal oxides) in structural units with compositions of other crystalline phases having a tendency to precipitate. Such crystalline phases include Li,O*Al,03*4Si0; (spodumene),

Na20*Al03*6Si0; (albite), K20*A1;03*6Si02 (K-feldspar}, MgO*Al03*2.5Si0; (cordierite, which can also be presented as 2MgO*2Al,03*5Si02}, CaO*Al;03*2Si02 (anorthite), SrO*Al03*2Si0; (Sr-feldspar) and

BaO*Al;03*2Si0; (celsian)}.

[00103] if the amount of silica and alumina in the glass composition is sufficient for forming all of the listed crystalline phases, the residual amount of silica can be obtained by deducting the amounts of alkali and alkaline earth metal oxides, multiplied by the stoichiometric coefficients for silica in the formulas of the listed crystalline phases (Li20*4 for spodumene, Na20*6 for albite, Ca0*2 for anorthite, etc.), from the total amount of silica in the glass composition in mol.%. Thus, the residual amount of silica can be evaluated by the formula (Vi) above.

[00104] it is hypothesized that if the value of Pit is high, cristobalite may possibly precipitate from the glass forming melts at high temperatures. Accordingly, in some embodiments of the present disclosure, the value of Pers is preferably limited.

[00105] The modifier-binding parameter Prod is a quantity calculated by formula (VI):

Prod = R2O+RO-Al03-P2Os-REmOn {VIJ)

where R20 is total sum of monovalent metal oxides, RO is total sum of divalent metal oxides, REmO, is total sum of rare earth metal oxides, and chemical formulas mean the amounts of corresponding components in the glass composition in mot. %.

[00106] The modifier-binding parameter Pmo4 evaluates the total amount of modifiers (monovalent metal oxides R,0 and divalent metal oxides RO} that can be chemically bounded with the network formers - alumina (Al,Os), phosphorus oxide (P205} and rare earth metal oxides (RE,O,) — of the glass compositions disclosed herein. Assuming one mole of modifier (R;0 and RO) binds with one mole of network former, the difference between the total content of modifiers and the total content of network formers gives the value of Png as presented in the formula (VII) above.

[00107] Without being bound to a specific theory, the authors believe that if the parameter Pmoa has a large positive value, it may mean that the glass structure may contain a significant amount of modifiers that may form non-bridging oxygen atoms, which, in turn, may cause a decrease in the low- temperature viscosity and, in particular, a decrease in the annealing and strain points, which may reduce the possibility of using the glass as a material for the memory recording media suitable to the HAMR process as specified above.

[00108] Accordingly, in some embodiments of the present disclosure, the glass compositions are preferably characterized by negative, zero or small positive values of Py.

[00109] The aluminum-binding parameter Py is a quantity calculated by formula (VI):

Pa = R:0+RO+P,0s+1.6*REm0,-ALOs, (VII) where R20 is total sum of monovalent metal oxides, RO is total sum of divalent metal oxides, REmOn is total sum of rare earth metal oxides, and chemical formulas mean the amounts of corresponding components in the glass composition in mot. %.

[00110] The aluminum-binding parameter Py estimates the amount of alumina that can be chemically bounded with other oxides, such as modifiers (R20 and RO}, phosphorus oxide (P,0s) and rare earth metal oxides (RE O.,). Without being bound to a specific theory, it is hypothesized that one mole of alumina can possibly react or bind with either one mole of modifiers, one mole of P,0s, or 1.6 moles of REO, (the figure for RE„O, is selected on the basis of known compositions of rare earth aluminates, such as yttrium alumina garnet (YAG, Y3Als012), lanthanum aluminate (La3Als012) and others). Under this hypothesis, the difference between the total sum of the oxides in mol.% (weighted by the stoichiometric coefficients noted above) and the concentration of alumina in mol.% in the glass composition characterizes the lack or excess of alumina comparing to the oxides.

[00111] Without being bound to a specific theory, it is hypothesized that an excess of alumina relative to the above-enumerated oxides (R20, RO, P20s, REO) may potentially cause precipitation of alumina or alumina-rich crystalline phases, such as, for example, beta-alumina (X*6Al,0;, where "X" refers to one or more of monovalent or divalent metal oxides), mullite (3A1,03*2S5i03), corundum (Al;03) and others, from the glass forming melts at high temperatures, thus increasing the liquidus temperature and reducing the liquidus viscosity. Accordingly, in some embodiments of the present disclosure, the glass compositions are preferably characterized by negative, zero or small positive values of Pa.

[00112] The annealing point An.P., specific modulus E/drr and Tis are properties of glass that can be predicted from the glass composition. A linear regression analysis of the Exemplary Glasses of the present disclosure in the EXAMPLES section below and other glass compositions reported in the literature was performed to determine equations that can predict the composition dependences of the annealing point, specific modulus, and temperature at which the glass has a viscosity of 160 kP.

[00113] The training dataset of glass compositions satisfying the criteria specified in Table 1 below and having measured values of the properties of interest, about 100 glass compositions for each property ((An.P., E/drr and Tagore), was randomly selected from the literature data presented in the publicly available SciGlass Information System database and from the Exemplary Glasses from the embodiments presented herein. The linear regression analysis on the above-specified dataset (excluding outliers) was used to determine the formulas (IX), (X), and (XI) below for the predictive parameters Panpt,

Pspm, and Piene. . In Table 1, RO is a total sum of divalent metal oxides, RO is a total sum of monovalent metal oxides and REmOa is a total sum of rare earth metal oxides.

[00114] Another set of glass compositions satisfying the criteria of Table 1 was used as a validation set to evaluate the ability to interpolate within predefined compositional limits. Based on the validation analysis, interpolation to within standard deviations specified in the Table 2 was possible. An external dataset of prior art glass compositions, also randomly selected from the SciGlass information

System database, was used to evaluate the ability to predict the properties outside of the specified compositional limits with a reasonable accuracy. Multiple iterations of this process were performed in order to determine the best variant for each property, corresponding to the regression formulas for the parameters specified in Table 2.

[00115] The data for the Comparative Glass compositions used in the linear regression modeling, including the training dataset, validation dataset and external dataset were obtained from the publically available SciGlass Information System database. Formulas (1X), {X} and (X!} below were obtained from the linear regression analysis and used to predict the annealing point, specific modulus, and temperature at which the viscosity is 160 kP, respectively, of the glasses:

Panpt = 664.7 + 5.2303 * SiO; - 11.493 * B203 - 7.1742 * PO; + 8.3980 * ZrO; - 2.0585 * MgO - 2.1088 * CaO - 3.8995 * BaO - 10.323 * ZnO - 9.0727 * MnO - 23.455 * 1j,0 - 33.819 * Na20- (IX) 25.204 * K,0 + 15.745 * Y203 + 8.9047 * La203 - 33.960 * (Fe203 + FeO) - 5.6704 * (R20 + RO -

ALOs) - 4.2545 * (Si07- (6 * K20 +6 * Na20 +4 * Li,0 + 2 * RO)) - 19.439 * Cu,0,

Pspm = 32.10 + 0.47744 * SiO2 - 1.6506 * Al203 - 0.11775 * B203 - 0.30166 * P,0s + 0.20187 * TiO, + 0.20219 * ZrO; + 0.96268 * MgO + 0.83379 * CaO + 0.53685 * SrO + 0.41218 * BaO + 0.63264 *

ZnO + 0.75365 * MnO + 0.62984 * CuO - 1.2496 * Na;0 - 1.5154 * K;0 + 1.4746 * Cu,0 - 0.037941 (X) *Y,05- 0.75836 * La,03 - 1.8052 * (R,0 + RO - AlO3} - 0.47488 * (SiO, - (6 * K;O0+6 * Na,0+4 *

LO + 2 * RO)),

Piene = 1058 + 2.5492 * Si0; - 25.725 * Al,03- 11.327 * B;05 - 10.014 * P05 - 14.309 * TiO; - 11.594 * 7r0, + 30.559 * MgO + 29.290 * CaO + 30.592 * SrO + 30.079 * BaO + 23.323 * ZnO + Xl) 19.724 * MnO + 11.888 * PbO + 11.462 * CuO + 17.090 * Li,O + 16.475 * Na20 + 11.386 * K;0 + 14.422 * Y203- 36.909 * La203 - 34.144 * (Fe203 + FeO) -35.001 * (R20 + RO - AlQOs).

[00116] In Formulas (IX), (X) and (XI) and Tables 1 and 2, annealing point parameter Pang: is a parameter that predicts the annealing point [°C], calculated from the components of the glass composition expressed in mol.%; specific modulus parameter Pspm is a parameter that predicts the specific modulus E/drr [GPa-cm?/g}, calculated from the components of the glass composition expressed in mol.%4; and the parameter Piso is a parameter that predicts the glass temperature corresponding to a viscosity of 160 kP [°C], calculated from the components of the glass composition expressed in mol.%.

[00117] In Formulas (IX), (X} and (X1}, each component of the glass composition is listed in terms of its chemical formula, where the chemical formula refers to the concentration of the component expressed in mol.%. For example, for purposes of Formulas {IX}, (X} and (Xl), SiO2 refers to the concentration of Si0,, expressed in mol.%, in the glass composition. It is understood that not all components listed in Formulas (IX}, (X} and (X1) are necessarily present in a particular glass composition and that Formulas (IX), {X) and (XI) are equally valid for glass compositions that contain less than all of the components listed in the formulas. it is further understood that Formulas {IX}, (X) and (XI) are also valid for glass compositions within the scope and claims of the present disclosure that contain components in addition to the components listed in the formulas. If a component listed in Formulas (IX), (X) and {XI} is absent in a particular glass composition, the concentration of the component in the glass composition is 0 mol.% and the contribution of the component to the value calculated from the formulas is zero.

Table 1. Composition Space Used for Modeling

Min, mol.% Min, mol.%

So, 60 | 75 | 60 | 75 | 60 | 75

LE to oo 10 0 oo [ 5 oo | 5 ~~ 0 ~~ 5

BO | oo | 5 | oo | 5 0 i 5 a 0 3 0 3

RO en [o005fat%l 0 | 1fat%l | 0 | 1[at%l

Efe dG A A GG

FeO + Fe 0s

R20 + RO + -5 Not limited | -5 Not limited -5 Not limited

P.Os+16*

ALO;

AbQOs 7 P20s 7

REmOn

R,0- ALO, | Not limited | 0 Notlimited [0 Ntlimited 10 ee 0 ee species

Table 2. Property prediction models

Parameter Formula Unit error corresponding to a viscosity of 160 kP

[00118] FIG. 1 is a plot of the parameter Pang: calculated by Formula (IX) as a function of measured annealing point An.P. for some Literature Glasses ("Comp. Glasses") and some Exemplary

Glasses ("Ex. Glasses"). As illustrated by the data in FIG. 1, the compositional dependence of the parameter Pans: had an error within a range of + 22 °C of the measured An.P. for the majority of glasses, which corresponds to the standard error specified in Table 2.

[00119] FIG. 2 is a plot of the parameter Psp, calculated by Formula {X) as a function of measured specific modulus E/drr for some Literature Glasses (Comp. Glasses") and some Exemplary

Glasses ("Ex. Glasses”). As illustrated by the data in FIG. 2, the compositional dependence of the parameter Pm had an error within a range of + 0.32 GPa-cm?®/g of the measured E/d for the majority of glasses, which corresponds to the standard error specified in Table 2.

[00120] FIG. 3 is a plot of the parameter Piso calculated by Formula (Xi) as a function of the measured temperature Tier at which the glass has a viscosity of 160 kP for some Literature Glasses ("Comp. Glasses”) and some Exemplary Glasses ("Ex. Glasses”). As illustrated by the data in FIG. 3, the compositional dependence of the parameter P1s0 had an error within a range of £ 37 °C of the measured Tige for the majority of glasses, which corresponds to the standard error specified in Table 2.

[00121] Table 3 identifies the combination of components and their respective amounts according to some embodiments of the present disclosure. The Exemplary Glasses A in Table 3 may include additional components according to any aspects of the present disclosure as described herein.

Table 3: Exemplary Glasses A

Amount (mol.%) 60.0 to 75.0 mol.% 10.0 to 18.0 mol.% 0.0 to 10.0 mol.% 0.0 to 5.0 mol.%

Sum of (Ca0+MgO) 5.0 mol.%

Sum of (Li20+Na20) 0.5 mol.%

Sum of (Li20+MgO} | 0.0 to 10.0 mol.%

Sum of (MgO+Zn0) | 0.0 to 10.0 mol.%

Sum of (Ca0+5r0) | 0.0 to 9.0 mol.%

[00122] Exemplary Glasses A according to embodiments of the present disclosure may optionally fluorine (F) in an amount 0.0 to 3.0 at.%.

[00123] According to some embodiments of the present disclosure, Exemplary Glasses A may also have an aluminum-binding parameter Py of greater than or equal to -2.8.

[00124] According to some embodiments of the present disclosure, Exemplary Glasses A may also have a modifier-binding parameter Pmod of less than or equal to 2.8.

[00125] According to some embodiments of the present disclosure, Exemplary Glasses A may also have an anorthite precipitation parameter Panon of less than or equal to 10.

[00126] Table 4 identifies the combination of components and their respective amounts according to some embodiments of the present disclosure. The Exemplary Glasses B in Table 4 may include additional components according to any aspects of the present disclosure as described herein,

Table 4: Exemplary Glasses B

Component | Amount (mol.%)

Li

Li>O 0.5t0 7.5 mol.%

[00127] Exemplary Glasses B according to embodiments of the present disclosure may optionally fluorine (F) in an amount 0.0 to 0.5 at.%.

[00128] According to some embodiments of the present disclosure, Exemplary Glasses B may also satisfy the following condition: 0.00 < min{REmO-,P20s} < 0.30 where chemical formulas refer to the amounts of components in glass, expressed in mol.%.

[00129] According to some embodiments of the present disclosure, Exemplary Glasses B may also have a cristobalite precipitation parameter Piast of less than or equal to 28.

[00130] According to some embodiments of the present disclosure, Exemplary Glasses B may also have an anorthite precipitation parameter Pano of less than or equal to 10.

[00131] According to some embodiments of the present disclosure, Exemplary Glasses B may also have a cordierite precipitation parameter Pcorg of fess than or equal to 5.

[00132] According to some embodiments of the present disclosure, Exemplary Glasses B may also have a spodumene precipitation parameter Poa of less than or equal to 7.5.

[00133] According to some embodiments of the present disclosure, Exemplary Glasses B may also have a specific modulus E/dgr of greater than or equal to 32 GPa-cm?/g.

[00134] According to some embodiments of the present disclosure, Exemplary Glasses B may also have an annealing point An.P. of greater than or equal to 680 °C.

[00135] According to some embodiments of the present disclosure, Exemplary Glasses B may also have a temperature Tiso corresponding to a viscosity of 160 kP of greater than or equal to 1150 °C.

[00136] Table 5 identifies the combination of components and their respective amounts according to some embodiments of the present disclosure. The Exemplary Glasses C in Table 5 may include additional components according to any aspects of the present disclosure as described herein.

Table 5: Exemplary Glasses C

Component Amount (mol.%)

SiO: 60.0 to 75.0 mol.% 10.5 to 18.0 mol.% 0.0 to 10.0 mol.%

Li,O 0.0 to 7.8 mol.%

MgO 0.0 to 4.3 mol.% 0.0 to 0.5 mol.%

Total sum of rare earth metal oxides REmO, | 0.0 to 5.0 mol.%

[00137] Exemplary Glasses C according to embodiments of the present disclosure may have a cristobalite precipitation parameter Pas of less than or equal to 28.

[00138] According to some embodiments of the present disclosure, Exemplary Glasses C may also have an anorthite precipitation parameter Panon of less than or equal to 10.

[00139] According to some embodiments of the present disclosure, Exemplary Glasses C may also have a modifier-binding parameter Pmod of greater than or equal to -3.

[00140] According to some embodiments of the present disclosure, Exemplary Glasses C may also satisfy the following formula:

E/dsr - (92.5 -0.05 * Tsoi) > 0.000, where E/dgr is a specific modulus and Tie is a temperature corresponding te a glass viscosity of 160 KP.

EXAMPLES

[00141] The following examples describe various features and advantages provided by the disclosure, and are in no way intended to limit the invention and appended claims.

[00142] Glass compositions were prepared and analyzed. The analyzed glass compositions included the components listed in Table 6 below. Example glasses were melted with conventional raw materials, such as sand, aluminum oxide, alkali carbonates, alkali nitrates, spodumene, nepheline syenite, borax, boric acid, aluminum metaphosphate, disodium phosphate, magnesium oxide, rare earth metal oxides, tin oxide, and various combinations. The glasses were melted in platinum crucibles between 1500 °C and 1575 °C for 5 to 6 hours, pourad as a relatively thin stream Into a water bath to quench the molten glass into small particles {drigaged) and then re-melted at a higher temperature of 1650 °C for 5 to 6 hours to improve homogeneity and melt quality. The glasses were then cast onto a steel plate, annealed for 1 hour near the anneal temperatures given in Table 6 below, and cooled to room temperature to form final glass articles.

Table 6. Exemplary Glass Compositions

SiO: mol. % 65.22 64.53 16.89 17.87

A

MeO 3.36 0 0.20 0.20 0.20

Fe20; mol. 0.01 0.01 0.01

Composition constraints mol.% mol. %

FeO + Fe:0:3 02 03 03 02 03

Measured properties loe@a) [P1338 1376 1381 [369 [386 [405 1364 [372

GPa

GPacmg gam ts it

Predicted and calculated properties

Pon | 155833 [7.6455 [7.6252 [88092 | 7.8636 [69109 | 66386 | 7.6568

Pere (Pow | 159599 [62501 0 6.3182 | 47043 153023 [58515 [67991 | 66516 (Pew | 151090 [47247 [36404 | 2.5914 |84910 | 14524 | 7.3384 [8.0376

Pro rere ZS LION Li [AT LT LL, La [nae]

Pay -0.94912

Pon [for Eidri] | GPaemg | 34.74

Pap [for An.P.] | °C 693.3

Treokr] 0.05 * Piso)

Table 6 Continued 14

Composition - mol.% 64.47 7.12 6.00

Na:O 3.67 3.66

Fe:0; 0.01 Tn Lo

Composition constraints 6.120 9.199 9.179 1.98] 3.960

FeO + Fe:0; 02 03 03 03 02 03

Measured properties log) JP 378 [373 [394 1388 [405 | 1365 138 33.990 | 34.270 34400 | 34.500 2417 2415

Ee TE LSI LSI JR LOIS LAI

Perg EES 3.9882 (Poot | [60307 [54717 [57513 mee ee. eN -7.5129 -0.35083

Treur] oen | [99 [O70 |e [0 [oan [0am 000 0.05 * Pieke)

Table 6 Continued bees J Lede adn de Ja 3.97 2.99

Na:O

P05 0 0

Fe:0; LoL on Loon Lf

Composition constraints 6.909 6.980

MgO + Zn0 4011 2.931 3.970

ZrO: + TiO: + 0.010003 | 9.999E- | 0.010002 | 0.010000

FeO + Fe20:3 03 03

Measured properties 33.920 34.200 34.000 34.400 2.409 2.404

Erm ee a

Perg 2.9809 | 3.9737

Po 1 [7.0082 | 61689 139722 | 39728 [39717 129794 | 29786 | 29798

LE Li Li el Li

Sen hil hin ony) shin 0.61291

Pa [042705 [037205 | 0.61597 | 0.61503

Treur] on | [oom as [user [a [156 ran [es 0.05 * Pieke)

Table 6 Continued

Exemplary Glass 25

Composition - mol.%

ALO;

LO 3.03

Na:0 mol. 0 0 10 00 030 1060 [0 0

TiO; 0.01 0.01

Composition constraints 3.050 3.080 | 3.051 3.019 mol. 5.589 6.498

MgO + ZnO mol. % 2.980 2.509 | 2.999 2.971 3.479

Fe203

Measured properties 42.800 44.600 | 42.900 41.420

Tae lec 11310 B [1306 297 24 [1277 [1

Toor ec i749 [1738 [1753 IA It [100

G GPa 34.200 34.130 | 34.480 | 34.680 34.130

Predicted and calculated properties

Panont 7.0449 170455 | 7.0444 | 7.0451 7.0456 | 7.4690 | 6.9696 (Powe | 129926 [29927 [24942 | 24943 | 29933 [29933 [29933 | 34921

Pod [2 zon [ian dawn zon [Imi [Zan 2d

Pasi 12370 (Pua | 1023750 | 0.26460 | 0.63876 | 0.23711 | 0.55723 | -1.3549 | 048917 | 048719 (Pal 1023759 | 0.26460 | 0.63876 | 0.23711 | 0.22086 | 0.20089 | 0.48917 | 0.48719

Pogo [for Eider]

Panos [Tor ANP]

Proce [for Tos]

Pieoke)

Table 6 Continued rene Lode ee Jee Je 431

Na:O

PO dmol% Jo Jo Jo 10

Olt JO Je 80 Lal La Jem [8

K20 0.01 SO JA 001 1001 {oor [001 Jo mol. % 0.01 0.01 0.01 0.01 0

Composition constraints

Li20 + NaxO mol. % 6.459 | 7.209 5.631 4400

ZrO: + TiO: + FeO + mol. % 0.02001 | 0.02000 | 0.02000 0

Fe203

Measured properties

Tew» tec |b furo fuss use [

Tse tec || [1304 1302 [12st [1270 [1264

Twe TLT 1752 [1669 [1697 [1699

Goe P| [1 aos ses

G GPa 34.540 | 34.540 33.790

Elder GPa-cm’/g 34.760 | 34.850 | 33.500 | 33.860 der g/cm’ 2.401 2.403 [2406 | 2.396 2.417 ee

Pere | 34913 | 34918 [3.4920 | 34919 4.454

Poa | 39891 [309884 [34905 44873 | 39987 | 34987 [3.2494 [37495

Pea | 126882 [26580 | 27.880 | 25888 | 29371 | 29.844 [24238 [22339

Poo | 1048826 | 0.19029 | 0.48851 | 0.48940 | 1.7299 | -0.72350 | -0.74642 | 0.17671 (Pa 1048826] 0.19029 | 0.48851 | 0.48940 | 4.0088 | 5.0152 | 4.9933 [5.4630

FE Cl | [ia cl la al al lal

Piep

Table 6 Continued

Exemplary Glass 42 43 44

Composition - mol. % 7003 | 70.86

ALO: 12.32

LO 470 1376 {4.70 5.04 5.71 mol. % 197 1.99 099 10 | 0 ml 10880009 he 0

B10: 0 010 0.56

Lael JO OL

Fe:0: 0.01

Composition constraints

CaO + S10 mol. % 5.990 5040 16720 15769 16730

Ca0 + MgO mol. % 9.360 | 1028 | 9.769 11.72 11.77

LiO + MgO

MgO + ZnO 4320 4290 | 4.780

Measured properties cn 300x107 40400 139.400 | 40400 [40500] 1 1

Sup. 660 670 661 {660 | 1 1

An.P. 711 722 {70 {7 ple

Tun A I I

Task 1240 1233

Toor 1671 1662

Tig 1165 | 1170 | 1160

E 83.570 | 83710 | 84.390 EMO ESA B00 | B60 34.410 Lo] 2.429

Predicted and calculated properties

Poe | 69441 | 60061 | 69464 6.006! 7.9701

Perg } 143007 {43001 | 43002 | 4.8000 | 47991 | 54077 | 54589 | 54615

Port 25039 | 26.906 24.282 35.071 (Pos | 064405 | 0.64939 | 0.64949 | 1.6474 | 2.1449 | 23203 | 13941 | 1.3349 4.6480 4.1441 | 4.1495

GPa-em'/g 34.07 34.53 | 33.05 °C 737.2 7290 | 7333 | 802.0 °C 1193 1191 | 1265

Pap - (92.5 - 0.03 * Pore) 0.5605 1.2564 1.6179 | 3.7767

Table 6 Continued

Na:O 099 1099 1099 [099 [099 Jo70 Jo 10

Sn0? 0.10 0.01

Composition constraints 4.871 2.500

Liz0 + MgO 8.480 | 8.600 7.448

Fes

Measured properties 0.300% 107 41.500 | 39.800 41.700

Str.P. 665 675 659

An.P. 717 725 714

Tan 963 968 930

Tis 1239 | 1245 1281

Tor 1666 | 1666 1728

Tig >1275 | 1190 1165

E 84.530 | 85.360 82.530

AEL AE LBA LL adn Lan Jase Jase Jam Lame

Predicted and calculated properties (Poon | 167259 | 68653 | 64862 | 6.4844 | 6.4161 | 6.4253 [4.9500 | 54589 (Poa [46808 | 4.8004 | 46014 | 4.4298 | 4.3506 | 4.4194 [3.9704 | 3.4588

Pya [137993 [37905 | 3.6395 | 37905 | 3.7814 | 3.7499 | 4.0001 | 39897 (Pee | 1023399 126324 28.988 | 27.935 | 28474 [28748 [25856 | 26.134 (Pwd | 117434 21504 | 15072 | 1.4498 | 1.2944 | 1.6465 | 0.83248 | 0.79928

Pu | 137235 [4.1305 | 34875 | 34298 [3.2743 | 3.0465 | 0.83248 | 0.79928

Py -(92.5-0.05 * Picor) | | 14684 [20544 | 1.8622 [ 1.5844 | 1.6495 | 1.9442 | 1.2885 | 1.2018

Table 6 Continued

Na:O 0 0.98 eS

ZnO 0 0.01 0.01 0.0141

Composition constraints 1.990 5.063

CaO + MgO 5.990 15939 9.922

FeO + Fe20: (Tw tec EE Jew twos [lh]

G 34.820 | 34.410 34.475

Pao [49792 [49599 | 49397 (Poor + 143891 [39891 | 40207 | 44023 [42117 [4.1740 | 42381 [42203 | 42047

Peri [25434 [25700 [25132 | 17.391 | 18.110 | 18.669 | 16380 | 16.873 | 17.437

Pues | [073767 | -0.14829 | 0.09976 | 1.7981 | 1.3128 | 1.8309 | 3.2374 [3.3593 | 34366

Pa 11073767 | 0.63166 | 0.88001 | 5.7266 | 5.2259 | 5.7259 | 5.2288 | 53414 | 53934

E/drr}

An.P.]

Tooke] (0.05 * Preowr)

[00143] Table 7 below lists the compositions and properties for Comparative Glasses C1-C5.

Table 7. Compositions and Properties of Comparative Example Glasses

Comparative Bangles

LL 31 Lm 3]

ALO: 2.00 4.72

Li.0

P05 0 1.85 ml LG LL

Sn0: 0.17 (FeO mol% Jooo4r]o 10 {0 0 0 0 aha

TiO: mol.% 0 0 aol IK TT 160000]

SP. ec [572.00 [613.00 60800 | 606.00

AnP. ec 1626.00] 666.00 | 661.00 | | 661.00 (Ten dec 1 92400 | 900.00 | 926.40

Time SCO 111383 | 1168.8 | 11396 (Tow dec 1 12231 | 12833 | 12260 (Taw SCO [116590 | 2008.0 | 16610 ogni) | P [50810 [4.1430 | 5.5850 | 5.6820 | 5.4990

G GPa 34030 132000 | 132.100 (Ede GPaemYe | [132.160 | 30.290 | 32.420 dee fglem’ |] 12407 [2410 [2400

Predicted and calculated properties

GPa-cm’/g 41.70 12.03 612.5 625.9 1217 1238

[00144] The reference key for each of the Comparative Glasses listed in Table 7 is as follows: [1]

US2019127265; [2] US2020199019; [3] US2019161390; [4] US2020199013.

[00145] In some embodiments of the present disclosure, the glass articles can be formed from the melts with the fusion draw process at a viscosity that is close to 160 KP. To enable use of the fusion draw process, the temperature at which the viscosity of the glass is 160 KP (Tisoxe) should be greater than or about equal to the liquidus temperature of glass. At the same time, to be suitable with the

HAMR process, the glass should have a high specific modulus.

[00146] However, it has been empirically observed that for alumina-rich silicate glasses, it is difficult to achieve a high specific modulus together with a high Tiere, while still keeping the liquidus temperature acceptably low to enable high volume manufacturing. Without being bound to a specific theory, it is hypothesized that this difficulty may be caused competing effects of different components onthe liquidus temperature, high-temperature viscosity, and specific modulus. Components that increase the specific modulus (such as, for example, MgO, Li20, TiO», Y203, ZrO, and others) tend to either decrease the high-temperature viscosity (as, for example, Li20)}, increase the liquidus temperature (as, for example, MgO, TiO», ZrO), or both (as, for example, in the case of Y203), thus establishing a trade-off between the three attributes: specific modulus, liquidus temperature and Tiso. To balance this trade-off, the glass compositions of some embodiments of the present disclosure contain the components in the combinations and proportions that are specified below.

[00147] FIG. 4 is a plot showing the relationship between Pico, the parameter that predicts

Tieke, and the specific modulus parameter Pom for some of the Exemplary Glasses and some of the

Comparative Glasses. The Exemplary Glasses (filled circles) are the Examples 7 to 29 from Table 6. The

Comparative Glasses (open circles) are the Examples C1 and C2 from Table 7. Pisoxw was determined according to Formula (XI). The parameter Pym that predicts specific modulus was determined according to Formula (X}. All of the Exemplary Glasses and Comparative Glasses shown in FIG. 4 have the features specified in Table 8. In Table 8, the specification "Not limited" refers to a limitation that was not considered when selecting the compositions.

Table 8. Limitations for glass compositions shown in FIG.4

Quantity Min Max

SO, mol% 60 75

CaO __mol% 0 110 20 mol% 0 78

MgO mol% 0 143 20, |{mol% [0 105

RENO, _mol% {0 15

GPa-cm?/g | 25 Not limited

Pra | | 3 Not limited

Perist Not limited | 28

Panort Not limited | 10

[00148] The Comparative Glasses C1 and C2 depicted in FIG. 4 were selected from among the

Comparative Glasses as having the highest specific modulus parameter Psom with a value of Piso closest to the value of Pisae of the Exemplary Glasses shown in FIG. 4.

[00149] The line corresponding to the formula Y = 92.5 - 0.05 * X shown in FIG. 4 (where Y represents Pm and X represents Piso} provides a visual representation of the differences between the

Comparative Glasses C; and C; and the Exemplary Glasses 7 to 29. As can be seen in FIG. 4, the

Exemplary Glasses (filled circles) and none of the Comparative Glasses (open circles) represented in FIG. 4 fall above the line Y = 92.5 - 0.05 * X. In other words, all of the Exemplary Glasses and none of the

Comparative Glasses represented in FIG. 4 satisfy the following formula (Xil)}{a):

Pspm- (92.5 - 0.05 * Pio) > 0.00 (XHH)(a)

[00150] As can also be seen in FIG. 4, some of Exemplary Glasses and none of the Comparative

Glasses represented in FIG. 4 fall above the line Y = 94 - 0.05 * X, where Y corresponds to Pg, and x corresponds to Piso. In other words, some of the Exemplary Glasses and none of the Comparative

Glasses represented in FIG. 4 satisfy the following formula (XIt)(b):

Pspm = (94 - 0.05 * Pigoxe) > 0.00 (Xil}(b)

[00151] The Exemplary Glasses represented in FIG. 4 are, by prediction, superior in terms of the combination of T1eoxe and E/dgr to the best known Comparative Glasses that have the features specified in Table 8.

[00152] FIG. 5 is a plot showing the relationship between the temperature Tiso , the temperature at which the glass has a viscosity of 160 kP, and the specific modulus E/dgr for some of the

Exemplary Glasses and some of the Comparative Glasses. The Exemplary Glasses (filled circles) are the

Examples 7 to 12, 15 and 39 from Table 6. The Comparative Glasses (open circles) are the Examples C3 to C5 from Table 7. All of the Exemplary Glasses and Comparative Glasses shown in FIG. 5 have the features specified in Table 9. In Table 9, the specification "Not limited" refers to a limitation that was not considered when selecting the compositions. In FIG. 5, some of the above-enumerated compositions may be labeled for better visibility, some others may not, and some more glasses may not be shown, which does not affect the further conclusions.

Table 9. Limitations for glass compositions shown in FIG. 5 50, [mol% [60 175 mol% 10 10

Unit 10 {mol% [0 178

MgO mol% {0 [43 mol% 0 105 mol% {0 {5

GPa-cm/g

Pmos | |-3 Notlimited

Pose | |Notlimited | 28 [Pan [Notlimited 10

[00153] The Comparative Glasses C3, C4, and C5 shown in FIG. 5 were selected from among the

Comparative Glasses as having the highest measured values of the specific modulus E/drr with a value of

Tisore closest to the value of Tiso of the Exemplary Glasses shown in FIG. 5.

[00154] The line corresponding to the formula Y = 92.5 - 0.05 * X (where Y corresponds to E/drr and X corresponds to Tio} shown in FIG. 5 provides a visual representation of the differences between the Comparative Glasses C3, C4, and C5 and the Exemplary Glasses 7 to 12, 15 and 39. As can be seen in

FIG. 5, the all of the Exemplary Glasses (filled circles) and none of the Comparative Glasses (open circles) represented in FIG. 5 fall above the line Y = 92.5 - 0.05 * X. In other words, some of the Exemplary

Glasses and none of the Comparative Glasses represented in FIG. 5 satisfy the following formula (XlI1} (a):

E/d-(92.5 -0.05 * Tige) > 0.00 (XIHf){a)

[00155] As can also be seen in FIG. 5, some of the Exemplary Glasses and none of the

Comparative Glasses represented in FIG. 5 fall above the line Y = 94 - 0.05 * X. In other words, some of the Exemplary Glasses and none of the Comparative Glasses represented in FIG. 5 satisfy the following formula (XI) (b):

E/drr - (94 - 0.05 * Tiso} > 0.00 (XIII}{D)

[00156] The Exemplary Examples represented in FIG. 5 that satisfy the formula (XI}{b} are characterized by the highest values of E/drr at comparable values of Tiso among the glasses that have the features specified in Table 9.

[00157] This means that, under the conditions specified in Table 9, some of the Exemplary

Glasses have higher measured values of the specific modulus E/dry at comparable measured values of the temperature Tigo than the best of the Comparative Glasses satisfying the same conditions. The

Exemplary Glasses, according to measurements, have higher values of E/dgr at comparable values of

Tiso than the best of the Comparative Glasses that have the features specified in Table 9.

[00158] The values of all attributes specified in Tables 8 and 9 and Formulas (XH}{a}, (Xi1}{b}, (Xt (a) and (XII}(b} for the Comparative Glasses C1 to C5 plotted in FIGS 4 and 5 are presented in Table 10 below.

Table 10. Attributes of Comparative Example Glasses Having the Features of Tables 8 and 9

C2 C4

A BO LISELI LIRR LAL O20 0 [0 | 0]

REO» 0 00953 0

MgO 0

Measured properties

Prod | 2.6347 | -0.6289 (Pew OL | 21:58 [1508 |-1468

Pain | 92567 | 4.5523 | 7.9535 (Tew tec [T1138 [1169 [1140 (Ed [GPaem¥a| | [3206 13029 |3242

E/d-925-005 Tow) | | 1 1.34275 | -3769 | -3.101

E/d - (94 - 0.05 * Tisow | -4.9275 | -5.269

Predicted and calculated properties

Poe 1 T1097 [1154 [1047 [1079 [1063 32.63

Pop - (92.5 - 0.05 * Prsorr 5.9271 -5.6728 8.7483 | 7.4271 | -7.6570

[00159] As follows from FIGS. 4 and 5, both predicted and measured property data confirms that some of the Exemplary Glasses have better combination of modifier-binding parameter Pmod, temperature Tigo and specific modulus E/dgr than the best of the Comparative Glasses that have the features specified in Tables 8 and 9 accordingly.

[00160] The following non-limiting aspects are encompassed by the present disclosure. To the extent not already described, any one of the features of the first through the seventy-third aspect may be combined in part or in whole with features of any one or more of the other aspects of the present disclosure to form additional aspects, even if such a combination is not explicitly described.

[00161] According to a first aspect, the glass comprises a plurality of components, the glass having a composition of the components comprising greater than or equal to 60.0 mol.% and less than or equal to 75.0 mol.% SiO2, greater than or equal to 10.0 mol.% and less than or equal to 18.0 mol.%

AL Os, greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.% Li20, greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.% Na:0, greater than or equal to 0.0 mol.% and less than or equal to 3.8 mol.% B203, greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.%

P:05, greater than or equal to 0.0 mol.% and less than or equal to 2.0 mol.% ZnO, greater than or equal to 0.0 mol.% and less than or equal to 0.7 mol.% La203, greater than or equal to 0.0 at.% and less than or equal to 3.0 at.% F, a sum of CaO + MgO greater than or equal to 5.0 mol.%, a sum of Li,O + Na20 greater than or equal to 0.5 mol.%, a sum of Li2O + MgO greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.%, a sum of MgO + ZnO greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.%, a sum of CaO + SrO greater than or equal to 0.0 mol.% and less than or equal to 9.0 mol.% and a sum of ZrO; + TiO, + FeO + Fe, 0; greater than or equal to 0.0 mol.% and less than or equal to 1.5 mol.%, wherein the glass has an aluminum-binding parameter P that is greater than or equal to -2.8, a modifier-binding parameter Png that is less than or equal to 2.8 and an anorthite precipitation parameter Pano that is less than or equal to 10, where Pa; is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Par=R20 + RO + P,0s + 1.6 * REO, - Al203,

Poe is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pmod = R20 + RO - Al203 - P2Os - REmOn,

Puen is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Panort = min(CaO + SrO + 0.5 * BaO + Na20 + 0.5 * K,0,AL03), where R20 is a total sum of monovalent metal oxides, RO is a total sum of divalent metal oxides, REO, is a total sum of rare earth metal oxides in all redox states present, and an asterisk (*} means multiplication.

[00162] According to a second aspect, the glass of the first aspect, wherein the composition of the components comprises greater than or equal to 10.0 mol. % and less than or equal to 17.0 mol.%

Al;03, greater than or equal to 0.0 mol.% and less than or equal to 7.4 mol.% Li,0, greater than or equal to 0.0 mol.% and less than or equal to 4.8 mol.% Na20, greater than or equal to 0.0 mol.% and less than orequal to 4.3 mol.% MgO, greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.% B203, greater than or equal to 0.0 mol.% and less than or equal to 0.5 mol.% ZrO,, greater than or equal to 2.5 mol.% Alk20, a sum of MgO + CaO + SrO + BaO + ZnO greater than or equal to 1.0 mol.%, wherein the composition of the components is substantially free of fluorine, and wherein Pa is less than or equal to 3.0, and modifier-binding parameter, Pmod is greater than or equal to -3.0, and where the glass has a cordierite precipitation parameter, Pcora that is less than or equal to 8.0 and a cristobalite precipitation parameter, Pi: that is less than or equal to 28 where

Pors is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pora = MgO + MnO + FeO,

Pest is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Perist = Si02- 6 * (Na20 + K20} - 4 * Li,O - 2 * (CaO + SrO + BaO} - 2.5 * MgO, where Alk,O is a total sum of alkali metal oxides.

[00163] According to a third aspect, the glass of any one of aspects 1-2, wherein the composition of the components comprises greater than or equal to 0.3 mol.% and less than or equal to 7.5 mol.%

CaO, greater than or equal to 0.3 mol.% and less than or equal to 7.5 mol.% Li,O, greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.% MgO, greater than or equal to 0.0 mol.% and less than or equal to 0.5 mol.% Sn0, and greater than or equal to 0.0 mol.% and less than or equal to 0.3 mol.%

Fey0s.

[00164] According to a fourth aspect, the glass of aspect 1, wherein the composition of the components comprises one or more of the following components: greater than or equal to 63.9 mol.% and less than or equal to 74.4 mol.% Si0,, greater than or equal to 12.34 mol.% and less than or equal to 18.0 mol.% Al, 0s, greater than or equal to 2.8 mol.% and less than or equal to 7.0 mol.% Li,O, greater than or equal to 1.4 mol.% and less than or equal to 5.6 mol.% CaO, greater than or equal to 0.4 mol.% and less than or equal to 4.4 mol.% MgO, greater than or equal to 0.4 mol.% and less than or equal to 4.4 mol.% Na:0, greater than or equal to 0.0 mol.% and less than or equal to 1.1 mol.% SrO, greater than or equal to 0.0 mol.% and less than or equal to 0.8 mol.% BOs, greater than or equal to 0.0 mol.% and less than or equal to 0.7 mol.% BaO and greater than or equal to 0 mol.% and less than or equal to 0.55 mol% Y.0s.

[00165] According to a fifth aspect, the glass of any one of aspects 1 and-4, wherein the composition of the components comprises greater than or equal to 64.5 mol.% and less than or equal to 74.4 mol.% Si0,, greater than or equal to 12.34 mol.% and less than or equal to 18.0 mol.% Al,O3, greater than or equal to 3.2 mol.% and less than or equal to 6.2 mol.% LO, greater than or equal to 1.9 mol.% and fess than or equal to 5.0 mol.% CaO, greater than or equal to 1.0 mol.% and less than or equal to 4.0 mol.% MgO, greater than or equal to 0.9 mol.% and less than or equal to 4.0 mol.% Na20, greater than or equal to 0 mol.% and less than or equal to 0.95 mol.% SrO, greater than or equal to 0.0 mol.% and less than or equal to 0.7 mol.% BOs, greater than or equal to 0 mol.% and less than or equal to 0.625 mol.% BaO and greater than or equal to 0.0 mol.% and less than or equal to 0.5 mol.% Y,0s.

[00166] According to a sixth aspect, the glass of aspect 1, wherein the composition of the components comprises greater than or equal to 11.0 mol.% and less than or equal to 18.0 mol.% AL Os, greater than or equal to 0.5 mol.% and less than or equal to 7.5 mol.% Li,O, greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.% B20:3, greater than or equal to 0.0 mol.% and less than or equal to 0.5 mol.% ZrO,, greater than or equal to 0.5 mol.% Alk20, greater than or equal to 0.0 at.% and less than or equal to 0.5 at.% F, a sum of MgO + CaO + SrO + BaO + ZnO greater than or equal to 0.5 mol.% , wherein the composition of the components satisfies the conditions: min(RE,0,,P20s) [mol.%] < 0.15, and wherein the glass has an annealing point An.P. that is greater than or equal to 680 °C, a temperature at which the viscosity is 160 kP Tiso: that is greater than or equal to 1150 °C, a specific modulus, E/drr that is greater than or equal to 32 GPa-cm?/g, a cordierite precipitation parameter Pcord that is less than or equal to 5.0, a cristobalite precipitation parameter Past that is less than or equal to 28 and a spodumene precipitation parameter P.poq that is less than or equal to 7.5, where E is a Young's modulus, dr is a density, Pcorg is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Peord = MgO + MnO + FeO,

Pest = S02 - 6 * (Na20 + Ko0) - 4 * Li,O - 2 * (CaO + SrO + BaO) - 2.5 * MgO,

Pspod is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Piped = min{Li>0,AL 0s - K20 - 0.5 * Na;0)}, where Alk;0 is a total sum of alkali metal oxides.

[00167] According to a seventh aspect, the glass of any one of aspects 1-4, wherein the composition of the components comprises greater than or equal to 0.0 mol.% and less than or equal to

1.0 mol.% BaO and greater than or equal to 0.0 mol.% and less than or equal to 1.0 mol.% K;0, wherein the composition of the components is substantially free of fluorine and substantially free of PbO and wherein the composition of the components satisfies the conditions: 0.00 < min(RE»0,,P20s) [mol.%] < 0.30.

[00168] According to an eighth aspect, the glass of any one of aspects 1-7, wherein the glass has a logarithm of liquidus viscosity, log{1iq [P]} that is greater than or equal to 5.0.

[00169] According to a ninth aspect, the glass of the eighth aspect, wherein the glass has a logarithm of liquidus viscosity, log(Mi, [P]) that is greater than or equal to 5.2.

[00170] According to a tenth aspect, the glass of any one of aspects 1-9, wherein the glass satisfies the condition: Page > 710, where Pan is an annealing point parameter, calculated from the glass composition in terms of mol.% of the components according to the Formula (1):

Panpt = 664.7 + 5.2303 * SiO, - 11.493 * B,03 - 7.1742 * P,0s + 8.3980 * ZrO, - 2.0585 * MgO - 2.1088 * CaO - 3.8995 * BaO - 10.323 * ZnO - 9.0727 * MnO - 23.455 * L},0 - 33.819 * Na,O - n 25.204 * K,0 + 15.745 * Y,03 + 8.9047 * La203 - 33.960 * (Fe Os + FeO) - 5.6704 * (R20 + RO - Al,Os) - 4.2545 * (SiO; - (6 * KO + 6 * Na20 +4 * LO + 2 * RO}} - 19.439 * Cu.0,

[00171] According to an eleventh aspect, the glass of any one of aspects 1-10, wherein the glass has an annealing point An.P. that is greater than or equal to 710 °C.

[00172] According to a twelfth aspect, the glass of the eleventh aspect, wherein the annealing point An.P. is greater than or equal to 730 °C.

[00173] According to a thirteenth aspect, the glass of any one of aspects 1-12, wherein the glass has a cordierite precipitation parameter, Pca that is less than or equal to 5.0, a cristobalite precipitation parameter, Pi: that is less than or equal to 28 and a spodumene precipitation parameter, Pod that is less than or equal to 7.5, where Pora is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Peord = MgO + MnO + FeO,

Peas is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Peas = SO: -6 * (Na20 + K;0}) - 4 * Li,0 - 2 * (CaO + SrO + BaO) - 2.5 * MgO,

Pgpoq is calculated from the glass composition in terms of mol.®% of the components according to the following formula:

Pspod = min(Li-0,ALOs - KO - 0.5 * Na,0).

[00174] According to a fourteenth aspect, the glass of any one of aspects 1-13, wherein the glass satisfies the condition: Pspm > 32, where Pom is a specific modulus parameter, calculated from the glass composition in terms of mol.% of the components according to the Formula (ll):

Pspm = 32.10 + 0.47744 * SiO, - 1.6506 * Al;03 - 0.11775 * B203 - 0.30166 * P2Os + 0.20187 * TiO, + 0.20219 * ZrO, + 0.96268 * MgO + 0.83379 * CaO + 0.53685 * SrO + 0.41218 * BaO + 0.63264 *

ZnO + 0.75365 * MnO + 0.62984 * CuO - 1.2496 * Na;0 - 1.5154 * K,O + 1.4746 * Cu,0 - 0.037941 (iI). *Y,03 - 0.75836 * La203- 1.8052 * (R20 + RO - Al,O3) - 0.47488 * (SiOz - (6 * K0 +6 * Na30 +4 *

LiO +2 * RO},

[00175] According to a fifteenth aspect, the glass of any one of aspects 1-14, wherein the glass has specific modulus E/dzy that is greater than or equal to 32 GPa-cm?®/g, where E is a Young's modulus and der is a density.

[00176] According to a sixteenth aspect, the glass of the fifteenth aspect, wherein the specific modulus E/dkr is greater than or equal to 33 GPa-cm?/g.

[00177] According to a seventeenth aspect, the glass of the sixteenth aspect, wherein the specific modulus E/dgr is greater than or equal to 34 GPa-cm?/g.

[00178] According to an eighteenth aspect, the glass of the seventeenth aspect, wherein the specific modulus E/dzr is greater than or equal to 35 GPa-cm3.

[00179] According to a nineteenth aspect, the glass of any one of aspects 1-18, wherein the glass satisfies the conditions Pien > 1150, where Pis is a parameter predicting the temperature at which the glass has a viscosity of 160 kP, calculated from the glass composition in terms of mol.% of the components according to the Formula (Hi):

Piene = 1058 + 2.5492 * SiO2 - 25.725 * Al203 - 11.327 * B203 - 10.014 * P;Os - 14.309 * TiO: - 11.594 * ZO, + 30.559 * MgO + 29.290 * CaO + 30.592 * SrO + 30.079 * BaO + 23.323 * ZnO + (UI. 19.724 * MnO + 11.888 * PbO + 11.462 * CuO + 17.090 * Li,0 + 16.475 * Na,O + 11.386 * K;0 + 14.422 * Y203- 36.909 * La203 - 34.144 * (Fe203 + FeO) - 35.001 * (R20 + RO - AlO3),

[00180] According to a twentieth aspect, the glass of any one of aspects 1-19, wherein the glass has temperature Tigoxe at which the glass has a viscosity of 160 kP that is greater than or equal to 1150 °C.

[00181] According to a twenty-first aspect, the glass of the twentieth aspect, wherein the temperature Tiso is greater than or equal to 1200 °C.

[00182] According to a twenty-second aspect, the glass of any one of aspects 1-21, wherein the glass has an average linear thermal expansion coefficient over a temperature range 20-300°C O20300x107 that is less than or equal to 40 K1.

[00183] According to a twenty-third aspect, the glass of any one of aspects 1-22, wherein the glass has a temperature T200 at which the glass has a viscosity of 200 P that is less than or equal to 1700 °C.

[00184] According to a twenty-fourth aspect, the glass of the twenty-third aspect, wherein the temperature T200 is less than or equal to 1650 °C.

[00185] According to a twenty-fifth aspect, the glass of any one of aspects 1-24, wherein Pa is greater than or equal to -2.0 and Png is less than or equal to 2.0.

[00186] According to a twenty-sixth aspect, the glass comprises a plurality of components, the glass having a composition of the components comprising greater than or equal to 60.0 mol.% and less than or equal to 80.0 mol.% SiO2, greater than or equal to 10.0 mol.% and less than or equal to 18.0 mol.% Al;03, greater than or equal to 0.5 mol.% and less than or equal to 7.5 mol.% Li20, greater than or equal to 0.0 mol.% and less than or equal to 0.5 mol.% ZrQ,, greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.% RE»O,, greater than or equal to 0.0 at.% and less than or equal to 0.5 at.% F and may optionally contain one or more components selected from P,0s, B203, MgO, CaO, BaO, ZnO,

MnO, Na20, K;0, Fe203, FeO, Cux0, Rb20, Ag20, Cs20, Au0, Hg20, TO, BeO, CoO, NiO, CuO, SrO, CdO,

SnO, PbO and TiO2, wherein the composition of the components satisfies the conditions: 0.00 < min{REnO,,P20s) [mol.%] < 0.30, and wherein the glass has a cristobalite precipitation parameter Peis: that is less than or equal to 28, an anorthite precipitation parameter Panor that is less than or equal to 10, a cordierite precipitation parameter P.q that is less than or equal to 5.0 and a spodumene precipitation parameter Pspoa that is less than or equal to 7.5, where

Past is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pest = S02 - 6 * (Na20 + Ko0) - 4 * Li,O - 2 * (CaO + SrO + BaO) - 2.5 * MgO,

Panort is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Panort = min{Ca0 + SrO + 0.5 * BaO + Na20 + 0.5 * K;0,Al:03),

Peord = MgO + MnO + FeO,

Pspog is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pspod = min{Li20,Al203 - K;0 -0.5* Na:0), and wherein the glass satisfies the conditions: Psym > 32, Panpt > 680 and Piso > 1150, where Panpt is an annealing point parameter, calculated from the glass composition in terms of mol.% of the components according to the Formula (1):

Panpt = 664.7 + 5.2303 * SiO; - 11.493 * B203 - 7.1742 * P,0s + 8.3980 * ZrO; - 2.0585 * MgO - 2.1088 * CaO -3.8995 * BaO - 10.323 * ZnO - 9.0727 * MnO - 23.455 * Li20 - 33.819 * Na 0 - 25.204 * K20 mn + 15.745 * Y203 + 8.9047 * La203 - 33.960 * (Fe, 03 + Fe) - 5.6704 * (R;0 + RO - Al;03) - 4.2545 * (SiOz - (6 * K:0 + 6 * Na O + 4 * Li,0 + 2 * RO}}- 19.439 * Cu,0,

Pspm is a specific modulus parameter, calculated from the glass composition in terms of mol.% of the components according to the Formula (li):

ZnO + 0.75365 * MnO + 0.62984 * CuO - 1.2496 * Na,0 - 1.5154 * K,0 + 1.4746 * Cuz0 - 0.037941 * (lf)

Pico is a parameter predicting the temperature at which the glass has a viscosity of 160 kP, calculated from the glass composition in terms of mol.% of the components according to the Formula (IH):

Piso = 1058 + 2.5492 * Si0; - 25.725 * Al,05 - 11.327 * B;03 - 10.014 * P05 - 14.309 * TiO; - 11.594 * ZrO; + 30.559 * MgO + 29.290 * CaO + 30.592 * SrO + 30.079 * BaO + 23.323 * ZnO + (In 19.724 * MnO + 11.888 * PbO + 11.462 * CuO + 17.090 * Li,0O + 16.475 * Na20 + 11.386 * KO + 14.422 * Y20;3 - 36.909 * La20:3 -34.144 * (Fe203 + FeQ) -35.001 * (R20 + RO - ALOs), where R20 is a total sum of monovalent metal oxides, RO is a total sum of divalent metal oxides, REO, is a total sum of rare earth metal oxides in all redox states present, and an asterisk (*} means multiplication.

[00187] According to a twenty-seventh aspect, the glass of the twenty-sixth aspect, wherein the glass has a Young's modulus E at room temperature, a density dst at room temperature, a specific modulus, E/dgr that is greater than or equal to 32 GPa-cm3/g, an annealing point, An.P. that is greater than or equal to 680 °C and a temperature Tie at which the glass has a viscosity of 160 kP that is greater than or equal to 1150 °C.

[00188] According to a twenty-eighth aspect, the glass of any one of aspects 26-27, wherein the composition of the components comprises greater than or equal to 60.0 mol.% and less than or equal to 75.0 mol.% Si0,, greater than or equal to 10.0 mol.% and less than or equal to 17.0 mol.% Al,O;, greater than or equal to 0.5 mol.% and less than or equal to 7.4 mol.% Li20, greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.% CaO, greater than or equal to 0.0 mol.% and less than or equal to 4.8 mol.% Na-0, greater than or equal to 0.0 mol.% and less than or equal to 4.3 mol.% MgO, greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.% B:03, greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.% TiO, greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.% ZnO, greater than or equal to 2.5 mol.% Alk;0, a sum of MgO + CaO + SrO + BaO + ZnO greater than or equal to 1.0 mol.%, wherein the composition of the components is substantially free of fluorine, and wherein the glass has an aluminum-binding parameter Pa that is less than or equal to 3.0 and a modifier-binding parameter Pmod that is greater than or equal to -3.0, where Py; is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pa =R:20 + RO + P;Os + 1.6 * REmO, - Al20;3, and Pd is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pmod = R20 + RO - Al2O3 - P2Os - REmOh, where Alk;0 is a total sum of alkali metal oxides.

[00189] According to a twenty-ninth aspect, the glass of any one of aspects 26-27, wherein the composition of the components comprises greater than or equal to 60.0 mol.% and less than or equal to 75.0 mol.% SiO», greater than or equal to 0.3 mol.% and less than or equal to 7.5 mol.% CaO, greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.% MgO, greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.% Na20, greater than or equal to 0.0 mol.% and less than or equal to 4.0 mol.% P,0s, greater than or equal to 0.0 mol.% and less than or equal to 0.5 mol.% SnO, and greater than or equal to 0.0 mol.% and less than or equal to 0.3 mol.% Fe 0s.

[00190] According to a thirtieth aspect, the glass of any one of aspects 26-27 and 29, wherein the composition of the components comprises one or more of the following components: greater than or equal to 63.9 mol. % and less than or equal to 74.4 mol.% SiO», greater than or equal to 12.34 mol.% and less than or equal to 18.0 mol.% Al Qs, greater than or equal to 2.8 mol.% and less than or equal to 7.0 mol.% Li,O, greater than or equal to 1.4 mol.% and less than or equal to 5.6 mol.% CaO, greater than or equal to 0.4 mol.% and less than or equal to 4.4 mol.% MgO, greater than or equal to 0.4 mol.% and less than or equal to 4.4 mol.% Na20, greater than or equal to 0.0 mol.% and less than or equal to 3.4 mol.% P2Os, greater than or equal to 0.0 mol.% and less than or equal to 1.1 mol.% SrO, greater than or equal to 0.0 mol.% and less than or equal to 0.8 mol.% B,0;, greater than or equal to 0.0 mol.% and less than or equal to 0.7 mol.% BaO and greater than or equal to 0 mol.% and less than or equal to 0.550 mol.% Y20:.

[00191] According to a thirty-first aspect, the glass of any one of aspects 26, 27, and 29-30, wherein the composition of the components comprises greater than or equal to 64.5 mol.% and less than or equal to 74.4 mol.% SiO», greater than or equal to 12.34 mol.% and less than or equal to 18.0 mol.% Al,Os, greater than or equal to 3.2 mol.% and less than or equal to 6.2 mol.% Li,O, greater than or equal to 1.9 mol.% and less than or equal to 5.0 mol.% CaO, greater than or equal to 1.0 mol.% and less than or equal to 4.0 mol.% MgO, greater than or equal to 0.9 mol.% and less than or equal to 4.0 mol.%

Na20, greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.% P20s, greater than or equal to 0 mol.% and less than or equal to 0.95 mol.% SrO, greater than or equal to 0.0 mol.% and less than or equal to 0.7 mol.% B20;, greater than or equal to 0 mol.% and less than or equal to 0.625 mol.% BaO and greater than or equal to 0.0 mol.% and less than or equal to 0.5 mol.% Y,0;.

[00192] According to a thirty-second aspect, the glass of any one of aspects 26, 27, and 29, wherein the composition of the components comprises greater than or equal to 60.0 mol.% and less than or equal to 75.0 mol.% Si0,, greater than or equal to 11.0 mol.% and less than or equal to 18.0 mol.% Al Os, greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.% B20;, greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.% TiO,, greater than or equal to 0.5 mol.% Alk;0, greater than or equal to 0.5 mol.% MgO + CaO + SrO + BaO + ZnO and wherein the composition of the components satisfies the conditions min(REnO,,P20s) [mol.%] < 0.15, where Alk;0 is a total sum of alkali metal oxides.

[00193] According to a thirty-third aspect, the glass of any one of aspects 26-29, wherein the composition of the components comprises greater than or equal to 0.0 mol.% and less than or equal to

[00194] According to a thirty-fourth aspect, the glass of any one of aspects 26-33, wherein the glass has a logarithm of liquidus viscosity, log{1}iq [P]) that is greater than or equal to 5.0.

[00195] According to a thirty-fifth aspect, the logarithm of liquidus viscosity, log(1}iq [P]) is greater than or equal to 5.2.

[00196] According to a thirty-sixth aspect, the glass of any one of aspects 26-35, wherein Papp > 710.

[00197] According to a thirty-seventh aspect, the glass of any one of aspects 26-36, wherein the glass has an annealing point An.P. that is greater than or equal to 710 °C.

[00198] According to a thirty-eighth aspect, the glass of the thirty-seventh aspect, wherein the annealing point An.P. is greater than or equal to 730 °C.

[00199] According to a thirty-ninth aspect, the glass of any one of aspects 26-38, wherein Pym > 33.

[00200] According to a fortieth aspect, the glass of any one of aspects 26-39, wherein the glass has specific modulus, E/drr that is greater than or equal to 33 GPa-cm?/g, where E is a Young's modulus and dr is a density.

[00201] According to a forty-first aspect, the glass of the fortieth aspect, wherein the specific modulus E/drr is greater than or equal to 34 GPa-cm?/g.

[00202] According to a forty-second aspect, the glass of any one of aspects 26-41, wherein the glass satisfies the conditions: Pigowe > 1200, where Piso is a parameter predicting a temperature at which the glass has a viscosity of 160 kP, calculated from the glass composition in terms of mol.% of the components according to the Formula (HI):

Piso = 1058 + 2.5492 * Si0, - 25.725 * Al;03 - 11.327 * B;03 - 10.014 * P,05 - 14.309 * TiO; - 11.594 * ZrO; + 30.559 * MgO + 29.290 * CaO + 30.592 * S10 + 30.079 * BaO + 23.323 * ZnO + (i. 19.724 * MnO + 11.888 * PbO + 11.462 * CuO + 17.090 * Li,O + 16.475 * Na20 + 11.386 * K;0 + 14.422 * Y203- 36.909 * La,0; - 34.144 * (FeO; + FeO) - 35.001 * (R,0 + RO - ALO3),

[00203] According to a forty-third aspect, the glass of any one of aspects 26-42, wherein the glass has a temperature Tigo at which the glass has a viscosity of 160 kP that is greater than or equal to 1200 °C.

[00204] According to a forty-fourth aspect, the glass of any one of aspects 26-43, wherein the glass has an average linear thermal expansion coefficient over a range of temperature from 20-300°C 020-300x107 that is less than or equal to 40 K7.

[00205] According to a forty-fifth aspect, the glass of any one of aspects 26-44, wherein the glass has a temperature T209 at which the glass has a viscosity of 200 P that is less than or equal to 1700 °C.

[00206] According to a forty-sixth aspect, the glass of the forty-fifth aspect, wherein the temperature Tao is less than or equal to 1650 °C.

[00207] According to a forty-seventh aspect, the glass of any one of aspects 26-46, wherein the glass has an aluminum-binding parameter Py that is greater than or equal to -2.0 and a modifier-binding parameter Pmod that is less than or equal to 2.0, where Pa is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Par= R20 + RO + P205 + 1.6 * REnOy - AlLO3, and Pmod is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pmog = R20 + RO - AlO3 - P205 - REO.

[00208] According to a forty-eighth aspect, the glass comprises a plurality of components, the glass having a composition of the components comprising greater than or equal to 60.0 mol.% and less than or equal to 75.0 mol.% SiO», greater than or equal to 10.5 mol.% and less than or equal to 18.0 mol.% Al,Qs, greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.% CaO, greater than or equal to 0.0 mol.% and less than or equal to 7.8 mol.% Li,O, greater than or equal to 0.0 mol.% and less than or equal to 4.3 mol.% MgO, greater than or equal to 0.0 mol.% and less than or equal to 0.5 mol% Zr0,, greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.% REmO, and may optionally contain one or more components selected from B203, POs, TiO», SrO, BaO, ZnO, MnO, CuQ,

Na20, K20, Cu,0, Rb20, Ag20, Cs20, Auz0, Hg20, Th0, BeO, FeO, CoQ, NiO, CdO, Sn0, PbO and Fe,0;, wherein the glass has a cristobalite precipitation parameter Pons that is less than or equal to 28, an anorthite precipitation parameter Paso that is less than or equal to 10 and a modifier-binding parameter

Pmod that is greater than or equal to -3.0, where

Pest = SI02 - 6 * (Na20 + K20) - 4 * Li-O - 2 * (CaO + SrO + BaO) - 2.5 * MgO,

Panort = min{CaO + SrO + 0.5 * BaO + Na20 + 0.5 * K,0,AlL03),

Pmog is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pmod = R20 + RO - Al,O3 - P05 - REO, and wherein the glass satisfies the condition: Pspm - {92.5 - 0,05 * Pio) > 0.000, where Pspm is a specific modulus parameter, calculated from the glass composition in terms of mol.% of the components according to the Formula (Ii):

Pspm = 32.10 + 0.47744 * SO, - 1.6506 * Al;03 - 0.11775 * B203 - 0.30166 * P2Os + 0.20187 * TiO, + 0.20219 * ZrO, + 0.96268 * MgO + 0.83379 * CaO + 0.53685 * SrO + 0.41218 * BaO + 0.63264 *

ZnO + 0.75365 * MnO + 0.62984 * CuO - 1.2496 * Na;0 - 1.5154 * K;0 + 1.4746 * Cu,0 - 0.037941 * (lf)

Y203 - 0.75836 * La20:- 1.8052 * (R20 + RO - Al,O3) - 0.47488 * (SiO; - (6 * K,0 +6 * Na20 +4 * Li;0 +2 *RO)),

Piso is a parameter predicting a temperature at which a viscosity of the glass is 160 kP, calculated from the glass composition in terms of mol.% of the components according to the Formula (Ii):

Pisoxe = 1058 + 2.5492 * SiO, - 25.725 * Al,03 - 11.327 * B;03 - 10.014 * P2Os - 14.309 * TiO; - 11.594 * ZO; + 30.559 * MgO + 29.290 * CaO + 30.592 * SrO + 30.079 * BaO + 23.323 * ZnO + im 19.724 * MnO + 11.888 * PbO + 11.462 * CuO + 17.090 * Li,0 + 16.475 * Na,O + 11.386 * K;0 + 14.422 * Y203 - 36.909 * La,03 - 34.144 * (Fe 03 + FeO) - 35.001 * (R20 + RO - Al;0:3), where R20 is a total sum of monovalent metal oxides, RO is a total sum of divalent metal oxides, REO, is a total sum of rare earth metal oxides in all redox states present, and an asterisk (*} means multiplication.

[00209] According to a forty-ninth aspect, the glass of the forty-eighth aspect, wherein the glass satisfies the conditions E/dgr - (92.5 - 0.05 * Tiso) > 0.000, where E/dgr [GPa-cm®/g] is a specific modulus, E is a Young's modulus, der is a density, Tiso is a temperature at which the glass has a viscosity of 160 kP.

[00210] According to a fiftieth aspect, the glass of any one of aspects 48-49, wherein the composition of the components comprises greater than or equal to 10.5 mol.% and less than or equal to 17.0 mol.% Al;03, greater than or equal to 0.0 mol.% and less than or equal to 7.4 mol.% LO, greater than or equal to 0.0 mol.% and less than or equal to 4.8 mol.% Na20, greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.% B,0s, greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.% TiO2, greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.% ZnO, greater than or equal to 2.5 mol.% Alkz0, a sum of MgO + CaO + SrO + BaO + ZnO greater than or equal to 1.0 mol.%, wherein the composition of the components is substantially free of fluorine, and wherein the glass has an aluminum-binding parameter Pa that is less than or equal to 3.0 and a cordierite precipitation parameter Pcora that is less than or equal to 8.0, where Py; is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pa = R20 + RO + P205 + 1.6 * REmOn - Al:03, and Pd is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Peord = MgO + MnO + FeO, where Alk20 is a total sum of alkali metal oxides.

[00211] According to a fifty-first aspect, the glass of any one of aspects 48-49, wherein the composition of the components comprises greater than or equal to 0.3 mol.% and less than or equal to 7.5 mol.% CaO, greater than or equal to 0.3 mol.% and less than or equal to 7.5 mol.% LO, greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.% Na20, greater than or equal to 0.0 mol.% and less than or equal to 4.0 mol.% P.0s, greater than or equal to 0.0 mol.% and less than or equal to 0.5 mol.% SnO; and greater than or equal to 0.0 mol.% and less than or equal to 0.3 mol.% Fe. 0s.

[00212] According to a fifty-second aspect, the glass of any one of aspects 48-49 and 51, wherein the composition of the components comprises one or more of the following components: greater than or equal to 63.9 mol.% and less than or equal to 74.4 mol.% SiO, greater than or equal to 12.34 mol.% and less than or equal to 18.0 mol.% AlLOs, greater than or equal to 2.8 mol.% and less than or equal to 7.0 mol.% Li20, greater than or equal to 1.4 mol.% and less than or equal to 5.6 mol.% CaO, greater than or equal to 0.4 mol.% and less than or equal to 4.4 mol.% Na;0, greater than or equal to 0.4 mol.% and fess than or equal to 4.3 mol.% MgO, greater than or equal to 0.0 mol.% and less than or equal to 3.4 mol.% P.0s, greater than or equal to 0.0 mol.% and less than or equal to 1.1 mol.% SrO, greater than or equal to 0.0 mol.% and less than or equal to 0.8 mol.% B203, greater than or equal to 0.0 mol.% and less than or equal to 0.7 mol.% BaO and greater than or equal to 0 mol.% and less than or equal to 0.550 mol.% Y20:.

[00213] According to a fifty-third aspect, the glass of any one of aspects 48-49 and 51-52, wherein the composition of the components comprises greater than or equal to 64.5 mol.% and less than or equal to 74.5 mol.% SiO», greater than or equal to 12.34 mol.% and less than or equal to 18.0 mol.% Al;Os, greater than or equal to 3.2 mol.% and less than or equal to 6.2 mol.% Li20, greater than or equal to 1.9 mol.% and less than or equal to 5.0 mol.% CaO, greater than or equal to 1.0 mol.% and less than or equal to 4.0 mol.% MgO, greater than or equal to 0.9 mol.% and less than or equal to 4.0 mol.%

Na20, greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.% P,0s, greater than or equal to 0 mol.% and less than or equal to 0.95 mol.% SrO, greater than or equal to 0.0 mol.% and less than or equal to 0.7 mol.% B203, greater than or equal to 0 mol.% and less than or equal to 0.625 mol.% BaO and greater than or equal to 0.0 mol.% and less than or equal to 0.5 mol.% Y20:.

[00214] According to a fifty-fourth aspect, the glass of any one of aspects 48, 49, and 51, wherein the composition of the components comprises greater than or equal to 11.0 mol.% and less than or equal to 18.0 mol.% Al,Os, greater than or equal to 0.5 mol.% and less than or equal to 7.5 mol.% Li20, greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.% B203, greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.% TiO,, greater than or equal to 0.5 mol.% Alk.0O, greater than or equal to 0.0 at.% and less than or equal to 0.5 at.% F, a sum of MgO + CaO + SrO + BaO +

ZnO greater than or equal to 0.5 mol.%, wherein the composition of the components satisfies the condition: min({REm0,,P205} [mol.%] < 0.15, and wherein the glass has an annealing point An.P. that is greater than or equal to 680 °C, a temperature corresponding to the at which the glass has a viscosity of 160 KP Tio that is greater than or equal to 1150 °C, a Young's modulus E, a density dgr, a specific modulus E/dgr that is greater than or equal to 32 GPa-cm?/g, a cordierite precipitation parameter Pcord that is less than or equal to 5.0 and a spodumene precipitation parameter Pspoq that is less than or equal to 7.5, where Pcorg is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Peord = MgO + MnO + FeO,

and Pod is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pesos = min({Li2O,Al203 - K20 - 0.5 * Na20), where Alk,0 is a total sum of alkali metal oxides.

[00215] According to a fifty-fifth aspect, the glass of any one of aspects 48-52 and 54, wherein the composition of the components comprises greater than or equal to 0.0 mol.% and less than or equal to 1.0 mol.% BaO and greater than or equal to 0.0 mol.% and less than or equal to 1.0 mol.% K;0, wherein the composition of the components is substantially free of fluorine and substantially free of

PbO and wherein the composition of the components satisfies the conditions: 0.00 £ min(RE»O,,P20s) [mol%] £0.30.

[00216] According to a fifty-sixth aspect, the glass of any one of aspects 48-55, wherein the glass has a logarithm of liquidus viscosity log(1iq {P]) that is greater than or equal to 5.0.

[00217] According to a fifty-seventh aspect, the glass of the fifty-sixth aspect, wherein the logarithm of liquidus viscosity log(1iq [P]} is greater than or equal to 5.2.

[00218] According to a fifty-eighth aspect, the glass of any one of aspects 48-57, wherein the glass satisfies the condition: Pane > 710, where Pang is annealing point parameter, calculated from the glass composition in terms of mol.% of the components according to the Formula (I):

Panpt = 664.7 + 5.2303 * SiO, - 11.493 * B,03 - 7.1742 * P,O; + 8.3980 * ZrO, - 2.0585 * MgO - 2.1088 * CaO - 3.8995 * BaO - 10.323 * ZnO - 9.0727 * MnO - 23.455 * Li,0 - 33.819 * Na,O - n 25.204 * K;O + 15.745 * Y203 + 8.9047 * La,03 - 33.960 * (Fe203 + FeO} - 5.6704 * (R,0 + RO - ALO3) - 4.2545 * (SiO, - (6 * KO + 6 * Na20 +4 * Li;O + 2 * RO)) - 19.439 * Cu;O0,

[00219] According to a fifty-ninth aspect, the glass of any one of aspects 48-58, wherein the glass has annealing point An.P. that is greater than or equal to 710 °C. 100220] According to a sixtieth aspect, the glass of the fifty-ninth aspect, wherein the annealing point An.P. is greater than or equal to 730 °C.

[00221] According to a sixty-first aspect, the glass of any one of aspects 48-60, wherein the glass has cordierite precipitation parameter, Pq that is less than or equal to 5.0 and spodumene precipitation parameter, Pspoa that is less than or equal to 7.5, where Pcorg is a value of cordierite precipitation parameter, calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pore = MgO + MnO + FeO,

Pspod is a value of spodumene precipitation parameter, calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pspog = min(Li>O,Al: 03 - K20 - 0.5 * Na20).

[00222] According to a sixty-second aspect, the glass of any one of aspects 48-61, wherein Psgn > 32.

[00223] According to a sixty-third aspect, the glass of any one of aspects 48-62, wherein the glass has a specific modulus E/dgy that is greater than or equal to 32 GPa-cm?/g, where E is a Young's modulus and der is a density.

[00224] According to a sixty-fourth aspect, the glass of the sixty-third aspect, wherein the specific modulus E/dgr is greater than or equal to 33 GPa-cm?®/g.

[00225] According to a sixty-fifth aspect, the glass of the sixty-fourth aspect, wherein the specific modulus, E/dgr is greater than or equal to 34 GPa-cm?/g.

[00226] According to a sixty-sixth aspect, the glass of the sixty-fifth aspect, wherein the specific modulus E/dgr is greater than or equal to 35 GPa.cm?/g.

[00227] According to a sixty-seventh aspect, the glass of any one of aspects 48-66, wherein Piso > 1150.

[00228] According to a sixty-eighth aspect, the glass of any one of aspects 48-67, wherein the glass has a temperature Tigo at which the viscosity of the glass is 160 kP that is greater than or equal to 1150 °C.

[00229] According to a sixty-ninth aspect, the glass of the sixty-eighth aspect, wherein the temperature Tiso is greater than or equal to 1200 °C.

[00230] According to a seventieth aspect, the glass of any one of aspects 48-69, wherein the glass has an average linear thermal expansion coefficient over a temperature range from 20-300°C 029. 300X107 that is less than or equal to 40 K.

[00231] According to a seventy-first aspect, the glass of any one of aspects 48-70, wherein the glass has a temperature Tage at which the glass has a viscosity of 200 P that is less than or equal to 1700 °C.

[00232] According to a seventy-second aspect, the glass of the seventy-first aspect, wherein the temperature Tap is less than or equal to 1650 °C.

[00233] According to a seventy-third aspect, the glass of any one of aspects 48-72, wherein the glass has an aluminum-binding parameter Pn that is greater than or equal to -2.0 and a modifier-binding parameter Pog that is less than or equal to 2.0, where Py is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Par=R20 + RO + P,0s + 1.6 * REO, - Al203, and Pug is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pmod = R20 + RO - Al203 - P2Os - REmOn,

[00234] Many variations and modifications may be made to the above-described embodiments of the disclosure without departing substantially from the spirit and various principles of the disclosure.

All such modifications and variations are intended to be included herein within the scope of this disclosure and protected by the following claims.

[00235] To the extent not already described, the different features of the various aspects of the present disclosure may be used in combination with each other as desired. That a particular feature is not explicitly illustrated or described with respect to each aspect of the present disclosure is not meant to be construed that it cannot be, but it is done for the sake of brevity and conciseness of the description. Thus, the various features of the different aspects may be mixed and matched as desired to form new aspects, whether or not the new aspects are expressly disclosed.

CLAUSES: 1. A glass comprising a plurality of components, the glass having a composition of the components comprising: e greater than or equal to 60.0 mol.% and less than or equal to 75.0 mol.% SiO;, e greater than or equal to 10.0 mol.% and less than or equal to 18.0 mol.% Al,03, e greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.% Li 0, e greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.% Na20, e greater than or equal to 0.0 mol.% and less than or equal to 3.8 mol.% B203, e greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.% P.O, e greater than or equal to 0.0 mol.% and less than or equal to 2.0 mol.% ZnO, e greater than or equal to 0.0 mol.% and less than or equal to 0.7 mol.% La20;, * greater than or equal to 0.0 at.% and less than or equal to 3.0 at.% F, e asum of CaO + MgO greater than or equal to 5.0 mol.%, e asum of Li,O + Na,O greater than or equal to 0.5 mol.%, e asum of LixO + MgO greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.%, e asum of MgO + ZnO greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.%, e asum of CaO + SrO greater than or equal to 0.0 mol.% and less than or equal to 9.0 mol.%, and e asum of ZrO; + TiO; + FeO + Fe, 0s; greater than or equal to 0.0 mol.% and less than or equal to 1.5 mol.%, wherein the glass has e an aluminum-binding parameter Py that is greater than or equal to -2.8, e a modifier-binding parameter Pmod that is less than or equal to 2.8 and e an anorthite precipitation parameter Panort that is less than or equal to 10, where e Paris calculated from the glass composition in terms of mol.% of the components according to the following formula:

Par = R2O + RO + P20s + 1.6 * REmOs - Al203, * Png is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pmod = R20 + RO - Al203 - P,0s - REmOn, and ® Pun is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Panort = min(CaO + SrO + 0.5 * BaO + Na20 + 0.5 * K20,AlL 03), where R;0 is a total sum of monovalent metal oxides, RO is a total sum of divalent metal oxides, REO, is a total sum of rare earth metal oxides in all redox states present, and an asterisk (*} means multiplication. 2. The glass of clause 1, wherein the composition of the components comprises: e greater than or equal to 0.3 mol.% and less than or equal to 7.5 mol.% CaO, e greater than or equal to 0.3 mol.% and less than or equal to 7.5 mol.% Li20, e greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.% MgO, e greater than or equal to 0.0 mol.% and less than or equal to 0.5 mol.% Sn0;, and e greater than or equal to 0.0 mol.% and less than or equal to 0.3 mol.% Fe; 0s. 3. The glass of any one of clauses 1-2, wherein the glass has e alogarithm of liquidus viscosity log{1]iq [P]} that is greater than or equal to 5.0. 4. The glass of any one of clauses 1-3, wherein the glass has e a cordierite precipitation parameter Pcora that is less than or equal to 5.0, e a cristobalite precipitation parameter Pis that is less than or equal to 28 and * spodumene precipitation parameter Po that is less than or equal to 7.5, where

* Por is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Peord = MgO + MnO + FeO, e Pi is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pest = Si02 - 6 * (Na20 + K20) - 4 * Li20 - 2 * (CaO + SrO + BaO) - 2.5 * MgO, e Pd is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pspod = min(Li20, Al203 - K;0 -05* Na20). 5. The glass of any one of clauses 1-4, wherein the glass satisfies the condition: where e Psn is a specific modulus parameter, calculated from the glass composition in terms of mol.% of the components according to the Formula (lf):

Psom = 32.10 + 0.47744 * SiO2 - 1.6506 * Al,0;- 0.11775 * B203 - 0.30166 * P,O; + 0.20187 * TiO, + 0.20219 * ZrO, + 0.96268 * MgO + 0.83379 * CaO + 0.53685 * SrO + 0.41218 * BaO + 0.63264 *

ZnO + 0.75365 * MnO + 0.62984 * CuO - 1.2496 * Na;0 - 1.5154 * K,O + 1.4746 * Cu,0 - 0.037941 (1). * Y203 -0.75836 * La203- 1.8052 * (R20 +RO- Al03) - 0.47488 * (SiO2 - (6 *K0+6*Na20+4*

Li,O + 2 * RO)), 6. The glass of any one of clauses 1-5, wherein the glass satisfies the condition: © Piso > 1150, where e Pio is a parameter predicting the temperature at which the glass has a viscosity of 160 KP, calculated from the glass composition in terms of mol.% of the components according to the

Formula (Il):

Piso = 1058 + 2.5492 * SiQ, - 25.725 * Al,0; - 11.327 * B05 - 10.014 * P,0s - 14.309 * TiO: - 11.594 * ZrO, + 30.559 * MgO + 29.290 * CaO + 30.592 * SrO + 30.079 * BaO + 23.323 * ZnO + (i) 19.724 * MnO + 11.888 * PbO + 11.462 * CuO + 17.090 * Li,O + 16.475 * Na20 + 11.386 * K;0 + ° 14.422 * Y203 - 36.909 * La203 - 34.144 * {Fe20:3 + FeO) -35,001 * {R20 +RO- ALOs), 7. The glass of any one of clauses 1-6, wherein the glass has e atemperature Ta at which the glass has a viscosity of 200 Poise that is less than or equal to 1700 °C. 8. A glass comprising a plurality of components, the glass having a composition of the components comprising: e greater than or equal to 60.0 mol.% and less than or equal to 80.0 mol.% Si0;, e greater than or equal to 10.0 mol.% and less than or equal to 18.0 mol.% Al; Os, * greater than or equal to 0.5 mol.% and less than or equal to 7.5 mol.% Liz0, e greater than or equal to 0.0 mol.% and less than or equal to 0.5 mol.% Zr0O;, e greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.% REO, e greater than or equal to 0.0 at.% and less than or equal to 0.5 at.% F and e optionally comprising one or more components selected from P20s, B203, MgO, CaO, BaO, ZnO,

MnO, Na:0, K;0, Fe203, FeO, Cu20, Rb:0, Ag20, Cs:0, Au20, Hg20, Tl20, BeO, CoQ, NiO, CuO,

SrO, CdO, SnO, PbO and TiO,, wherein the composition of the components satisfies the condition: e 0.00 S min(REmO:,P20s) [mol.%] < 0.30, and wherein the glass has e a cristobalite precipitation parameter Pas that is less than or equal to 28, es an anorthite precipitation parameter Panor that is less than or equal to 10, e a cordierite precipitation parameter Pcorg that is less than or equal to 5.0 and e a spodumene precipitation parameter Poa that is less than or equal to 7.5,

where e Post is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pest = Si02 - 6 * (Na O + K20} - 4 * Li,O - 2 * (CaO + SrO + BaO} - 2.5 * MgO, * Panor is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Panort = min{Ca0 + SrO + 0.5 * BaO + Na20 + 0.5 * K,0,Al, 05), e Psor is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pcord = MgO + MnO + FeO, e Pd is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pspod = min{Li,0,ALO; -K;0-0.5* Na,0) and wherein the glass satisfies the conditions: ° Pspm > 32, ° Panpt > 680 and ® Pio > 1150, where e Pu. is an annealing point parameter, calculated from the glass composition in terms of mol.% of the components according to the Formula (1):

Panpt = 664.7 + 5.2303 * Si0, - 11.493 * B,03- 7.1742 * P,O; + 8.3980 * ZrO; - 2.0585 * MgO - 2.1088 * CaO - 3.8995 * BaO - 10.323 * Zn0 - 9.0727 * MnO - 23.455 * Li,0 - 33.819 * Na20 - 25.204 * K,0 0 + 15.745 * Y,05 + 8.9047 * La203 - 33.960 * (Fe203 + FeO) - 5.6704 * (R,0 + RO - Al;,03) - 4.2545 * {Si02- (6 * K2O + 6 * Na 0 + 4 * Li0 + 2 * RO)) - 19.439 * Cu;0, e Pm is a specific modulus parameter, calculated from the glass composition in terms of mol. % of the components according to the Formula (lf):

Pspm = 32.10 + 0.47744 * SiO, - 1.6506 * Al;0;- 0.11775 * B203 - 0.30166 * P,0Os + 0.20187 * TiO, + 0.20219 * ZrO, + 0.96268 * MgO + 0.83379 * CaO + 0.53685 * SrO + 0.41218 * BaO + 0.63264 *

ZnO + 0.75365 * MnO + 0.62984 * CuO - 1.2496 * Na;0 - 1.5154 * K,O + 1.4746 * Cu,0 - 0.037941 * (I)

Y,0;- 0.75836 * La,0;- 1.8052 * (R20 + RO - Al,03) - 0.47488 * (Si02- (6 * K20 +6 * Na20 +4 * Li,O + 2 * RO)}, e Pio is a parameter predicting the temperature at which the glass has a viscosity of 160 KP, calculated from the glass composition in terms of mol.% of the components according to the

Formula (IH):

Pigoxp = 1058 + 2.5492 * SiO, - 25.725 * Al;05- 11.327 * B,03 - 10.014 * PO; - 14.309 * TiO; - 11.594 * ZrO2 + 30.559 * MgO + 29.290 * CaO + 30.592 * SrO + 30.079 * BaO + 23.323 * ZnO + im 19.724 * MnO + 11.888 * PbO + 11.462 * CuO + 17.090 * Li0 + 16.475 * Na20 + 11.386 * K;0 + 14.422 * Y20:3 - 36.909 * La203 - 34.144 * (Fe203 + FeO) -35.001 * (R20 +RO- A03}, where R20 is a total sum of monovalent metal oxides, RO is a total sum of divalent metal oxides, REmOn is a total sum of rare earth metal oxides in all redox states present, and an asterisk (*} means multiplication. 9. The glass of clause 8, wherein ® Pas is less than or equal to 28, ® Puen is less than or equal to 10, ® Psor is less than or equal to 5.0, ® Pspod is less than or equal to 7.5, and wherein the glass has e a specific modulus E/dgy that is greater than or equal to 32 GPa-cm®/g, e an annealing point An.P. that is greater than or equal to 680 °C and e atemperature Tiso at which the glass has a viscosity of 160 kP that is greater than or equal to 1150 °C, where E is a Young's modulus and ds: is a density. 10. The glass of any one of clauses 8-9, wherein the composition of the components comprises: * greater than or equal to 60.0 mol.% and less than or equal to 75.0 mol.% Si0;,

es greater than or equal to 0.3 mol.% and less than or equal to 7.5 mol.% Ca0, e greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.% MgO, * greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.% Na20, e greater than or equal to 0.0 mol.% and less than or equal to 4.0 mol.% P20;, e greater than or equal to 0.0 mol.% and less than or equal to 0.5 mol.% Sn02 and e greater than or equal to 0.0 mol.% and less than or equal to 0.3 mol.% Fe 0s. 11. The glass of any one of clauses 8-10, wherein the glass has e a logarithm of liquidus viscosity log(Tiq [P]) that is greater than or equal to 5.0. 12. The glass of any one of clauses 8-11, wherein * Pom>33. 13. The glass of any one of clauses 8-12, wherein the glass has e a temperature Tap at which the glass has a viscosity of 200 Poise that is less than or equal to 1700 °C. 14. A glass comprising a plurality of components, the glass having a composition of the components comprising: e greater than or equal to 60.0 mol.% and less than or equal to 75.0 mol.% SiO, e greater than or equal to 10.5 mol.% and less than or equal to 18.0 mol.% Al: Os, e greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.% CaO, es greater than or equal to 0.0 mol.% and less than or equal to 7.8 mol.% Li20, e greater than or equal to 0.0 mol.% and less than or equal to 4.3 mol.% MgO, * greater than or equal to 0.0 mol.% and less than or equal to 0.5 mol.% ZrO,, e greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.% REmO, and e optionally comprising one or more components selected from B203, P,0s, TiO», SrO, BaO, ZnO,

MnO, CuO, Na20, KO, Cu20, Rb20, Ag20, Cs20, Au,0, Hg20, TIO, BeO, FeO, CoO, NiO, CdO, Sn0,

PbO and Fe;0;,

wherein the glass has e a cristobalite precipitation parameter Pes that is less than or equal to 28, e an anorthite precipitation parameter Panor that is less than or equal to 10 and e a modifier-binding parameter Pmod that is greater than or equal to -3.0 and wherein the glass satisfies the condition: ® Pom- {92.5 - 0.05 * Pigoxp) > 0.000, where * Py. is a specific modulus parameter, calculated from the glass composition in terms of mol.% of the components according to the Formula (ll):

Psom = 32.10 + 0.47744 * SO, - 1.6506 * Al203 - 0.11775 * B203 - 0.30166 * P,0s + 0.20187 * TO: + 0.20219 * ZrO; + 0.96268 * MgO + 0.83379 * CaO + 0.53685 * SrO + 0.41218 * BaO + 0.63264 *

ZnO + 0.75365 * MnO + 0.62984 * CuO - 1.2496 * Na20 - 1.5154 * K;0 + 1.4746 * Cu,0 - 0.037941 * (1)

Y,03- 0.75836 * La,0;- 1.8052 * {R20 +RO- Al203) - 0.47488 * (SiO2 - (6 *K;0+6*Na20+4*Lh;0 +2*RO)), * Pio is a parameter predicting a temperature at which the glass has a viscosity of 160 KP, calculated from the glass composition in terms of mol.% of the components according to the

Formula (IH):

Piso = 1058 + 2.5492 * SiO2 - 25.725 * Al203 - 11.327 * B203 - 10.014 * P,0s - 14.309 * TiO; - 11.594 * ZrO, + 30.559 * MgO + 29.290 * CaO + 30.592 * SrO + 30.079 * BaO + 23.323 * ZnO + (i) 19.724 * MnO + 11.888 * PbO + 11.462 * CuO + 17.090 * Li20 + 16.475 * Na20 + 11.386 * K;0 + 14.422 *Y,03- 36.909 * La203 - 34.144 * {Fe203 + FeO) -35.001 * {R20 + RO - AlLOs), e Pas is a value of a cristobalite precipitation parameter, calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pest = S102 - 6 * (Na20 + K20) - 4 * Li,O - 2 * (CaO + SrO + BaO) - 2.5 * MgO, * Poon is a value of an anorthite precipitation parameter, calculated from the glass composition in terms of mol.% of the components according to the following formula:

Panort = min(CaO + SrO + 0.5 * BaO + Na20 + 0.5 * K,0,Al,03),

* Pmod is a value of a modifier-binding parameter, calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pmod = R20 + RO - Al203 - P,0s - REmO,, where R,0 is a total sum of monovalent metal oxides, RO is a total sum of divalent metal oxides, REO, is a total sum of rare earth metal oxides in all redox states present, and an asterisk (*} means multiplication. 15. The glass of clause 14, wherein ® Pas is less than or equal to 28, ® Puen is less than or equal to 10 and ® Prod is greater than or equal to -3.0 and wherein the glass satisfies the condition: e E/dgr-(92.5 - 0.05 * Tiso) > 0.000, where e E/dr [GPa-cm3/g]} is a specific modulus of the glass, E is a Young's modulus and der is a density, and * Toe [°C] is a temperature at which the glass has a viscosity of 160 kP. 16. The glass of any one of clauses 14-15, wherein the composition of the components comprises: e greater than or equal to 0.3 mol.% and less than or equal to 7.5 mol.% CaO, e greater than or equal to 0.3 mol.% and less than or equal to 7.5 mol.% Li20, e greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.% Na20, e greater than or equal to 0.0 mol.% and less than or equal to 4.0 mol.% P20;, e greater than or equal to 0.0 mol.% and less than or equal to 0.5 mol.% SnO; and es greater than or equal to 0.0 mol.% and less than or equal to 0.3 mol.% Fe, 0s. 17. The glass of any one of clauses 14-16, wherein the glass has e a logarithm of liquidus viscosity, log(1}ig [P}) that is greater than or equal to 5.0.

18. The glass of any one of clauses 14-17, wherein the glass has e a cordierite precipitation parameter Pora that is less than or equal to 5.0 and * a spodumene precipitation parameter Ppca that is less than or equal to 7.5 where e Por is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pora = MgO + MnO + FeO, ® Pspod is calculated from the glass composition in terms of mol.% of the components according to the following formula:

Pspod = min(Li>0,AlLOs - KO - 0,5 * Na;0). 19. The glass of any one of clauses 14-18, wherein e Pon>32. 20. The glass of any one of clauses 14-19, wherein the glass has a temperature T200 at which the glass has a viscosity of 200 Poises that is less than or equal to 1700 °C.

Claims

Conclusions

Multi-component glass, the glass having a composition of the components comprising: greater than or equal to 60.0 mol.% and less than or equal to 75.0 mol.% SiO 2 , e greater than or equal to to 10.0 mol.% and less than or equal to 18.0 mol.% Al2O;, » greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.% Li20, « greater than or equal to 0.0 mol.% and less than or equal to 5.0 mol.% Na2 O, « greater than or equal to 0.0 mol.% and less than or equal to 3.8 mol.% BO3, e greater than or equal to 0.0 mol.% and less than or equal to 3.0 mol.% P2O;5, «greater than or equal to 0.0 mol.% and less than or equal to 2.0 mol .% ZnO, « greater than or equal to 0.0 mol.% and less than or equal to 0.7 mol.% La;Os, « greater than or equal to 0.0 at.% and less than or equal to 3.0 at.% F, e a sum of CaO + MgO greater than or equal to 5.0 mol.%, * a sum of Li20 + Na20 greater than or equal to 0.5 mol.%, » a sum of Li2O + MgO greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.%, + a sum of MgO + ZnO greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol%, e a sum of CaO + SrO greater than or equal to 0.0 mol% and less than or equal to 9.0 mol%, and s a sum of ZrO; + TiO: + FeO + Fe2 O3 greater than or equal to 0.0 mol% and less than or equal to 1.5 mol%, wherein the glass comprises * an aluminum binding parameter Py greater than or equal to -2, 8, * a modifier binding parameter Pmoa less than or equal to 2.8 and * an anorthite precipitation parameter Pao less than or equal to 10, where «Pa is calculated from the glass composition expressed in mol.% of the components according to the following formula:

Pa = R30 + RO + P2Os + 1.6 * REO, - Al2O3, * Prog is calculated from the glass composition expressed in mol.% of the components according to the following formula: Prod = R20 + RO - AL,O3 - P2Os - RExOs , and * Panort is calculated from the glass composition expressed in mol.% of the components according to the following formula: Panort = min(CaO + SrO + 0.5 * BaO + Na2O + 0.5 * K,O,Al;0:3) }, where R20 is a total sum of monovalent metal oxides, RO is a total sum of divalent metal oxides, REmO, is a total sum of rare earth metal oxides in all redox states present, and an asterisk (*) means multiplication.

Glass according to claim 1, wherein the composition of the components comprises: » greater than or equal to 0.3 mol.% and less than or equal to 7.5 mol.% CaO, e greater than or equal to 0.3 mol% and less than or equal to 7.5 mol% Li2O, e greater than or equal to 0.0 mol% and less than or equal to 5.0 mol% MEO, s greater than or equal to 0 0.0 mol% and less than or equal to 0.5 mol% SnO3, and greater than or equal to 0.0 mol% and less than or equal to 0.3 mol% Fe2 O3.

Glass according to any one of claims 1-2, wherein the glass comprises: = a logarithm of liquidus viscosity log(T;4 [P]) greater than or equal to 5.0.

A glass according to any one of claims 1 to 3, wherein the glass comprises: ° a cordierite precipitation parameter Pora less than or equal to 5.0, ° a cristobalite precipitation parameter Pcrist less than or equal to 28 and es spodumene precipitation parameter Psgod that is less than or equal to 7.5, where

* Poors is calculated from the glass composition expressed in mol.% of the components according to the following formula: Pcord = MgO + MnO + FeO, * Pi: is calculated from the glass composition expressed in mol.% of the components according to the following formula: Perist = SiO2 - 6 * (Na20 + K;0) - 4 * Li;0 - 2 * (CaO + SrO + BaO} —- 2.5 * MgO, * Poa is calculated from the glass composition expressed in mol.% of the components according to the following formula: Pspog = min{Li2O,Al;O3 - K20 - 0.5 * Na2O).

A glass according to any one of claims 1 to 4, wherein the glass meets the condition: * Pspm > 32, where * Pym is a specific modulus parameter, calculated from the glass composition expressed in mole % of the components according to formula (Ii) : Pspm = 32.10 + 0.47744 * SiO, - 1.6506 * Al.05 - 0.11775 * B,Os - 0.30166 * P2005 + 0.20187 * TiO, + 0.20219 * ZrO; + 0.96268 * MgO + 0.83379 * CaO + 0.53685 * SrO + 0.41218 * BaO + 0.63264 * ZnO + 0.75365 * MnO + 0.62984 * CuO - 1.2496 * Na,0 - 1.5154 * KO + 1.4746 * Cu.0 - 0.037941 * Y.0; - 0.75836 * La203-1.8052 * (RO + RO - AL,O3) - 0.47488 * (SiO; - (6 * KO + 6 * Na2O +4 * 10 + 2 * RO))

A glass according to any one of claims 1 to 5, wherein the glass meets the condition: © Pio > 1150, where * Piso is a parameter predicting the temperature at which the glass has a viscosity of 160 KP, calculated from the glass composition expressed in mole % of the components of formula (111): Piere = 1058 + 2.5492 * SiO2 - 25.725 * Al,03 - 11,327 * B, O3 - 10,014 * P,0s - 14,309 * TiO, - 11,594 * ZrO; + 30.559 * MgO + 29.290 * CaO + 30.592 * SrO + 30.079 * BaO + 23.323 * ZnO + 19.724 * MnO + 11.888 * PbO + 11.462 * CuO + 17.090 * Li20 + 16.475 * Na20 + 11, 386 * K20 + 14,422 * Y203 - 36,909 * La2 O3- 34.144 * (Fe2 O3 + FeQ) -35.001 * (R20 + RO - ALQO 3 ),

The glass according to any one of claims 1 to 6, wherein the glass comprises: a temperature T200P at which the glass has a viscosity of 200 Poise less than or equal to 1700°C.

8. A multi-component glass, the glass having a composition of the components comprising: e greater than or equal to 60.0 mol% and less than or equal to 80.0 mol% SiO, s greater than or equal to 10.0 mole % and less than or equal to 18.0 mole % Al2 O;, e greater than or equal to 0.5 mole % and less than or equal to 7.5 mole % Li2 O, e greater than or equal to 0.0 mol% and less than or equal to 0.5 mol% ZrO, e greater than or equal to 0.0 mol% and less than or equal to 3.0 mol% REQ , s greater than or equal to 0.0 at% and less than or equal to 0.5 at% F and » optionally consisting of one or more components selected from P2O3, B2O3, MgO, CaO, BaO, ZnO, MnO , Na20, K20, Fe20;, FeO, Cu20, Rb20, Ag20, Cs20, Au:O, Hg20, TO, BeO, CoO, NiO, CuO, SrO, CdO, Sno, PbO and TiO, where the composition of the components satisfies the condition: e 0.00 S min(REm0.,P20s) [mol.%] S 0.30, and where the glass comprises a cristobalite precipitation parameter Past less than or equal to 28, * an anorthite precipitation parameter Panon less than or equal to 10, ° a cordierite precipitation parameter Pora less than or equal to 5.0, and * a spodumene precipitation parameter Pspod less than or equal to 7, 5, where e Past is calculated from the glass composition expressed in mol.% of the components according to the following formula: Pest = SiO2- 6 * (Na20 + 0) - 4 * Li20 -2 * (CaO + SrO + BaO} — 2 .5*MgO,

* Panart is calculated from the glass composition expressed in mol.% of the components according to the following formula: Panart = Min{CaO + SrO + 0.5 * BaO + Na2O + 0.5 * K;O,Al;0:3) , * Pora is calculated from the glass composition expressed in mole % of the components according to the following formula: Peord = MgO + MnO + FeO, * Poa is calculated from the glass composition expressed in mole % of the components according to the following formula: Pspod = min(Li20,Al203 - K;0 -0.5* Na20) and where the glass meets the conditions: ° Pspm > 32, ° Panpt > 680 and © Piso > 1150, where c Pang is a glow point parameter, calculated from the glass composition expressed in mole % of the components of formula (1): Panpt = 664.7 + 5.2303 * SiO2 - 11.493 * B2 O3 - 7.1742 * P,O; + 8.3980 * ZrO2 - 2.0585 * MgO - 2.1088 * CaO -3.8995 * BaO - 10.323 * ZnO -9.0727 * MnO - 23.455 * Li.0 - 33.819 * Na,0 - 25.204 * K .0 + 15.745 * Y203 + 8.9047 * La:03- 33.960 * {Fe0s + FeO) -5.6704 * {R20 +RO-Al:03) -4.2545 * (SiO; - (6 *K0 +6 * NapO +4 * Li,0 + 2 * RO)) - 19.439 * Cu:0, * Psn is a specific modulus parameter, calculated from the glass composition expressed in mol% of the components according to formula (1): Psum = 32.10 + 0.47744 * SiO, - 1.6506 * Al,03 - 0.11775 * B2 O3 - 0.30166 * P, O; + 0.20187 * TiO, + 0.20219 * ZrO, + 0.96268 * MgO + 0.83379 * CaO + 0.53685 * SrO + 0.41218 * BaO + 0.63264 * ZnO + 0.75365 * MnO +0.62984 * CuO - 1.2496 * Na20 - 1.5154 * K,O + 1.4746 * Cu2O -0.037941 * Y203- 0.75836 * La20:- 1.8052 * (R20 + RO -Al203 } - 0.47488 * (SiO; - (6 * KO +6 * Na2O +4 * Li,O + 2 * RO), * Piso is a parameter predicting the temperature at which the glass has a viscosity of 160 kP, calculated from the glass composition expressed in mole % of the components according to formula (lif): Piso = 1058 + 2.5492 * SO, - 25.725 * Al203- 11.327 * B203 - 10.014 * P,O - 14.309 * Ti0, - 11.594 * ZrO, + 30.559 * MgO + 29.290 * CaO + 30.592 * SrO + 30.079 * BaO + 23.323 * ZnO + 19.724 * MnO +

11,888 * PbO + 11,462 * CuO + 17,090 * Li;O + 16,475 * Na,O + 11,386 * K;0 + 14,422 * Y,0; - 36.909 * La203- 34.144 * (Fe203 + FeQ) - 35.001 * (RO + RO - AhO:s}, where R.0 is a total sum of monovalent metal oxides, RO is a total sum of divalent metal oxides, REmO, is a total sum of rare earth metal oxides in all redox states present, and an asterisk (*) means multiplication.

The lens of claim 8 wherein: » Pers is less than or equal to 28, e Panor is less than or equal to 10, * Pera is less than or equal to 5.0, ° Pod is less than or equal to 7 .5, and wherein the glass comprises ° a specific modulus E/drr greater than or equal to 32 GPa-cm 2 /g, ° a glow point An.P. which is greater than or equal to 680 °C and a temperature Tiso at which the glass has a viscosity of 160 kP which is greater than or equal to 1150 °C, where E is a Young's modulus and der is a density.

Glass according to any one of claims 8-9, wherein the composition of the components comprises: e greater than or equal to 60.0 mol% and less than or equal to 75.0 mol% SiO, > greater than or equal to 0.3 mol% and less than or equal to 7.5 mol% CaO, e greater than or equal to 0.0 mol% and less than or equal to 5.0 mol% MgO, e greater than or equal to 0.0 mol% and less than or equal to 5.0 mol% Na2 O, ° greater than or equal to 0.0 mol% and less than or equal to 4.0 mol% P, 0s, > greater than or equal to 0.0 mol% and less than or equal to 0.5 mol% SnO:; and e greater than or equal to 0.0 mole % and less than or equal to 0.3 mole % Fe:O:.

A glass according to any one of claims 8 to 10, wherein the glass comprises: e a logarithm of liquidus viscosity log(1q [P]) greater than or equal to 5.0.

A glass according to any one of claims 8-12, wherein the glass comprises: * a temperature T200p at which the glass has a viscosity of 200 Poise less than or equal to 1700°C.

14. A multi-component glass, the glass having a composition of the components comprising: e greater than or equal to 60.0 mol% and less than or equal to 75.0 mol% SiO, ° greater than or equal to 10.5 mol.% and less than or equal to 18.0 mol.% Al;O3, « greater than or equal to 0.0 mol.% and less than or equal to 10.0 mol.% CaO, ° greater than or equal to 0.0 mol.% and less than or equal to 7.8 mol.% Li>0, e greater than or equal to 0.0 mol.% and less than or equal to 4.3 mol .% MgO, ° greater than or equal to 0.0 mol.% and less than or equal to 0.5 mol.% ZrO, « greater than or equal to 0.0 mol.% and less than or equal to 5, 0 mol% REmO, and ° optionally consisting of one or more components selected from B203, P20s, TiO2, SrO, BaO, ZnO, MnO, CuO, Na20, K20, Cu20, Rb20, Ag20, Cs20, Au:0 , Hg20, TI2O, BeO, FeQ, CoO, NiO, CdO, Sn0, PbO and Fe20;, in which the glass has » a cristobalite precipitation parameter Pi: which is less than or equal to 28, » an anorthite precipitation parameter Panon which less than or equal to 10 and a modifier binding parameter Pod greater than or equal to -3.0 and where the glass meets the condition: * *Pyn-(92.5-0.05* Pico } > 0.000, where * Pym is a specific modulus parameter, calculated from the glass composition expressed in mol.% of the components according to formula {1}: Psum = 32.10 + 0.47744 * SiO2 - 1.6506 * Al.03 - 0.11775 * B203 - 0.30166 * P2Os + 0.20187 * TiO2 + 0.20219 * ZrO; + 0.96268 * MgO + 0.83379 * CaO + 0.53685 * SrO + 0.41218 * BaO + 0.63264 * ZnO + 0.75365 * MnO + 0.62984 * CuO - 1.2496 * Na2O - 1 .5154 * KO + 1.4746 * CuO - 0.037941 * Y.0; - 0.75836 * La20: - 1.8052 * (R20 + RO - AbO3) - 0.47488 * (SiO; - (6 * K20 + 6 * Na20 +4 * Li,0 + 2 * RO}), * Piene iS a parameter predicting a temperature at which the glass has a viscosity of 160 kP, calculated from the glass composition expressed in mole % of the components according to formula (lll): Piso = 1058 + 2.5492 * SiO2 - 25.725 * Al, 03 -11.327 * B203- 10.014 * P;Os - 14.309 * TiO, - 11.594 * ZrO; + 30.559 * MgO + 29.290 * CaO + 30.592 * SrO + 30.079 * BaO + 23.323 * ZnO + 19.724 * Mn O + 11,888 * PhO + 11,462 * CuO + 17,090 * Li,O + 16,475 * Na20 + 11,386 * K20 + 14,422 * Y203 - 36,909 * La203- 34,144 * (Fe203 + FeQ) - 35,001 * (R20 + RO - ALQOs), * Pest is a value of a cristobalite precipitation parameter, calculated from the glass composition in terms of mol% of the components according to the following formula: Peest = SiO2- 6 * (Na2 O + K; O} - 4 * Li,O- 2 * (CaO + SrO + BaQ) — 2.5 * MgO, * Panort is a value of an anorthite precipitation parameter, calculated from the glass composition expressed in mol.% of the components according to the following formula: Panort = min{Ca0 + SrO + 0.5 * Ba0 + Na20 + 0.5 * K20,Al;0:3}, * Prod is a value of a modifier binding parameter, calculated from the glass composition expressed in mol% of the components according to the following formula: Pmod = R20 + RO - ALO3 - P20Os - REmOn, where R20 is a total sum of monovalent metal oxides, RO is a total sum of divalent metal oxides, REO, is a total sum of rare earth metal oxides in all redox states present, and an asterisk (*) means multiplication.

* Panort is less than or equal to 10 and » Poa is greater than or equal to -3.0 and where the glass meets the condition: e E/drr- (92.5 - 0.05 * Tiere) > 0.000, where e E/drr [GPa-cm?/g] is a specific modulus of the glass, E is a Young's modulus and dgr is a density, and * Tiso [°C] is a temperature at which the glass has a viscosity of 160 kP.

Glass according to any one of claims 14-15, wherein the composition of the components comprises: greater than or equal to 0.3 mol% and less than or equal to 7.5 mol% CaO, greater than or equal to 0.3 mol% and less than or equal to 7.5 mol% Li2O, e greater than or equal to 0.0 mol% and less than or equal to 5.0 mol% Na2O, e greater than or equal to 0.0 mol.% and less than or equal to 4.0 mol.% P2O;, s greater than or equal to 0.0 mol.% and less than or equal to 0.5 mol.% Sn0 :; and » greater than or equal to 0.0 mole % and less than or equal to 0.3 mole % Fe 2 O 3 .

A glass according to any one of claims 14-16, wherein the glass comprises: « a logarithm of the liquidus viscosity, log{T]4 [P]) greater than or equal to 5.0.

Glass according to any one of claims 14-17, wherein the glass comprises: ° a cordierite precipitation parameter Pora less than or equal to 5.0 and * a spodumene precipitation parameter Pspod less than or equal to 7 .5 where * Pcord is calculated from the glass composition expressed in mol.% of the components according to the following formula:

Pore = MgO + MnO + FeO, * Pspod is calculated from the glass composition expressed in mol.% of the components according to the following formula: Pood = min{Li>0,AL Os - K;0 - 0.5 * Na,0).

Glass according to any one of claims 14-18, wherein: e Pym > 32.

Glass according to any one of claims 14-19, wherein the glass has a temperature Ta00, the glass having a viscosity of 200 Poise, which is less than or equal to 1700°C.