CN116417073A - A method and system for analyzing the electrochemical oxidation performance of alloy catalyst hydrogen - Google Patents
A method and system for analyzing the electrochemical oxidation performance of alloy catalyst hydrogen Download PDFInfo
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Abstract
Description
技术领域technical field
本发明属于电极材料的催化活性测定和表征,具体涉及一种合金催化剂氢气电化学氧化性能的分析方法及系统。The invention belongs to the measurement and characterization of catalytic activity of electrode materials, and in particular relates to an analysis method and system for the hydrogen electrochemical oxidation performance of an alloy catalyst.
背景技术Background technique
近几十年来,随着社会的发展,环境污染和能源短缺问题日益严重,对新型清洁能源的开发需求尤为迫切。碱性燃料电池(AFC)可以直接将储存在H2和O2中的化学能转化为电能,且唯一的副产物为水,是一种高效洁净的绿色电源,并且具有结构简单、启动迅速、运行温度低等优点。尤其是近年来碱性阴离子交换膜技术的发展,既保持了碱性电解质的特性,又避免了电解质碳酸化的问题,使AFC更具有竞争力。在AFC中,阴极氧还原反应(ORR)具有较低的过电位和较高的反应动力学,并已开发出Ag、金属氧化物、碳材料等多种相对便宜的阴极电催化剂。然而,AFC阳极H2氧化反应(HOR)速率却相对缓慢,目前使用的仍然是Pt基贵金属催化剂。高效、稳定的非贵金属HOR电催化剂的相关报道十分匮乏。因此,开发适用于碱性介质的高效低成本非贵金属HOR电催化剂对AFC技术的商业化发展具有重要意义。In recent decades, with the development of society, the problems of environmental pollution and energy shortage have become increasingly serious, and the demand for the development of new clean energy is particularly urgent. Alkaline fuel cell (AFC) can directly convert the chemical energy stored in H 2 and O 2 into electrical energy, and the only by-product is water. It is an efficient and clean green power source with simple structure, rapid start-up, Advantages of low operating temperature. Especially in recent years, the development of alkaline anion exchange membrane technology not only maintains the characteristics of alkaline electrolyte, but also avoids the problem of electrolyte carbonation, making AFC more competitive. In AFC, the cathode oxygen reduction reaction (ORR) has low overpotential and high reaction kinetics, and a variety of relatively inexpensive cathode electrocatalysts such as Ag, metal oxides, and carbon materials have been developed. However, the H2 oxidation reaction (HOR) rate at the AFC anode is relatively slow, and Pt-based noble metal catalysts are still used at present. There are very few reports on efficient and stable non-noble metal HOR electrocatalysts. Therefore, the development of high-efficiency and low-cost non-noble metal HOR electrocatalysts suitable for alkaline media is of great significance for the commercial development of AFC technology.
Fe、Co、Ni等过渡金属储量丰富、价格低廉,是理想的Pt贵金属催化剂替代材料。但是,一般情况下,此类催化剂稳定性较差,易发生腐蚀。相对于其它非贵金属,Ni基催化剂在碱性条件下具有相对较高的活性和抗腐蚀性,显示它是一类极具潜力的非贵金属HOR电催化剂。但是,此类催化剂的HOR活性仍明显低于Pt催化剂;并且当过电势高于0.1V时催化剂仍会发生氧化。在这方面,通过对镍进行合金化来调节其抗氧化性能和HOR活性是一种有效的方法。例如,以17.5mg/cm2的NiW合金为阳极催化剂的AFC,在60℃时的最大输出功率可以达到40mW/cm2(参见International Journal of Hydrogen Energy 2013,38:16264–16268)。以4mg/cm2碳负载的NiMo催化剂为阳极,所制备的AFC在80℃时的最大输出功率分别达到120mW/cm2(参见Journal of Materials Chemistry A 2017,5:24433–24443)。以4mg/cm2碳负载的NiCu催化剂为阳极,所制备的AFC在80℃时的最大输出功率分别达到350mW/cm2(参见Sustainable Energy Fuels,2018,2:2268–2275)。但是相对于质子交换膜燃料电池的最大功率1000mW/cm2,该功率仍较低。CN103869045A公开了一种测试甲醇燃料电池阳极材料活性的方法,通过特定的量子化学计算模拟,测试电池阳极材料的活性,用以提高判断电池活性及效率的准确性。但该方法无法对催化剂结构稳定性进行分析,并且仅从反应能垒(活化能)进行活性分析。表征手段单一,不完善,比较抽象,与电化学实验结果无法直接进行对比和验证。Fe, Co, Ni and other transition metals are abundant and cheap, and they are ideal alternative materials for Pt noble metal catalysts. However, in general, such catalysts are less stable and prone to corrosion. Compared with other non-noble metals, Ni-based catalysts have relatively high activity and corrosion resistance under alkaline conditions, showing that it is a class of highly potential non-noble metal HOR electrocatalysts. However, the HOR activity of such catalysts is still significantly lower than that of Pt catalysts; and the catalysts still oxidize when the overpotential is higher than 0.1V. In this regard, alloying nickel to tune its oxidation resistance and HOR activity is an effective approach. For example, the AFC with 17.5mg/cm 2 NiW alloy as the anode catalyst can reach a maximum output power of 40mW/cm 2 at 60°C (see International Journal of Hydrogen Energy 2013,38:16264–16268). With 4 mg/cm 2 carbon-supported NiMo catalyst as the anode, the maximum output power of the prepared AFC reached 120 mW/cm 2 at 80 °C (see Journal of Materials Chemistry A 2017, 5:24433–24443). With 4 mg/cm 2 carbon-supported NiCu catalyst as the anode, the maximum output power of the prepared AFC reached 350 mW/cm 2 at 80 °C (see Sustainable Energy Fuels, 2018, 2:2268–2275). However, compared with the maximum power of 1000mW/cm 2 of the proton exchange membrane fuel cell, the power is still low. CN103869045A discloses a method for testing the activity of an anode material of a methanol fuel cell. Through specific quantum chemical calculation simulation, the activity of the anode material of the battery is tested to improve the accuracy of judging the activity and efficiency of the battery. However, this method cannot analyze the structural stability of the catalyst, and only analyzes the activity from the reaction energy barrier (activation energy). The characterization means are single, incomplete, and relatively abstract, and cannot be directly compared and verified with the results of electrochemical experiments.
目前,对电极催化剂在碱性条件下的HOR活性进行评价的方法主要是实验方法,即先通过实验方法制备催化剂,然后在碱性条件下进行HOR实验。但是碱性电解质在空气中易被碳酸化,H2是易燃易爆物质,因此实验操作环境要求苛刻,实验仪器复杂,实验费用高昂。此外,由于缺乏理论指导,对新型催化剂的选择和制备具有一定的盲目性,时间和材料资源浪费严重。At present, the method for evaluating the HOR activity of electrode catalysts under alkaline conditions is mainly an experimental method, that is, the catalyst is first prepared by an experimental method, and then the HOR experiment is performed under alkaline conditions. However, alkaline electrolytes are easily carbonated in the air, and H2 is a flammable and explosive substance. Therefore, the experimental operating environment is harsh, the experimental equipment is complicated, and the experimental cost is high. In addition, due to the lack of theoretical guidance, the selection and preparation of new catalysts is blind to a certain extent, and time and material resources are seriously wasted.
第一性原理计算是一种以量子力学密度泛函理论为基础,通过计算机模拟计算,从电子层次上对材料的结构和性质进行研究的一种方法。近年来,随着计算化学的发展以及计算机硬件水平的提高,第一性原理方法越来越多地用于研究材料的催化性能、设计寻找新的催化材料,成为一种与实验方法并重的研究手段。第一性原理方法只需进行计算机模拟计算,无需进行真实实验,效率高、成本低、计算周期短、精确度高,不仅可以极大节约时间和材料成本,而且可以指导催化剂的设计、制备以及应用。然而目前国际上还没有利用第一性原理计算模拟方法对合金催化剂的H2电化学氧化性能进行详细测定和表征的研究案例。First-principles calculation is a method based on the density functional theory of quantum mechanics, through computer simulation calculations, to study the structure and properties of materials from the electronic level. In recent years, with the development of computational chemistry and the improvement of computer hardware, the first-principles method has been increasingly used to study the catalytic properties of materials, design and find new catalytic materials, and has become a research with equal emphasis on experimental methods. means. The first-principles method only needs to carry out computer simulation calculations without real experiments. It has high efficiency, low cost, short calculation cycle and high accuracy. It can not only greatly save time and material costs, but also guide the design, preparation and application. However, there are no research cases in the world that have used the first-principle calculation simulation method to measure and characterize the electrochemical oxidation performance of alloy catalysts in detail.
发明内容Contents of the invention
本发明的目的在于提供一种能够用于分析包括镍基非贵金属合金催化剂在内的合金催化剂的H2电化学氧化性能的方法及系统。The object of the present invention is to provide a method and system that can be used to analyze the H2 electrochemical oxidation performance of alloy catalysts including nickel-based non-noble metal alloy catalysts.
为了实现上述目的,本发明提供了一种合金催化剂氢气电化学氧化性能的分析方法,其中,该方法包括:In order to achieve the above object, the present invention provides a method for analyzing the electrochemical oxidation performance of alloy catalyst hydrogen, wherein the method comprises:
第一模型构建步骤:构建合金晶胞模型即第一模型;The first model construction step: constructing the alloy unit cell model, that is, the first model;
第二模型构建步骤:基于第一模型建构建合金催化剂表面模型即第二模型;The second model building step: building a surface model of the alloy catalyst based on the first model, that is, the second model;
可选择地第三模型构建步骤:基于第二模型构建含有碱性水溶液层的合金催化剂表面模型即第三模型;Optionally, a third model construction step: constructing a surface model of the alloy catalyst containing an alkaline aqueous solution layer based on the second model, i.e. the third model;
可选择地第四模型构建步骤:在第三模型中含有碱性水溶液层的合金催化剂表面分别构建反应物、中间体和产物的结构模型,得到含有反应物、中间体和产物的碱性水溶液/合金催化剂的初始模型即第四模型;Optionally, the fourth model construction step: in the third model, the structure models of the reactants, intermediates and products are respectively constructed on the surface of the alloy catalyst containing the alkaline aqueous solution layer to obtain an alkaline aqueous solution/ The initial model of the alloy catalyst is the fourth model;
可选择地第五模型构建步骤:对第四模型进行结构优化,得到最优结构的含有反应物、中间体和产物的碱性水溶液/合金催化剂表面模型即第五模型;Optionally, the fifth model construction step: performing structural optimization on the fourth model to obtain the surface model of the alkaline aqueous solution/alloy catalyst containing reactants, intermediates and products with the optimal structure, that is, the fifth model;
H2电化学氧化性能评价步骤:基于第二模型,进行合金催化剂的氧化势分析;和/或;基于第二模型或第三模型,进行合金催化剂的H吸附自由能分析;和/或;基于第五模型,进行合金催化剂的Tafel极化曲线确定。 H Electrochemical oxidation performance evaluation step: based on the second model, carry out the oxidation potential analysis of the alloy catalyst; and/or; based on the second model or the third model, carry out the H adsorption free energy analysis of the alloy catalyst; and/or; The fifth model is to determine the Tafel polarization curve of the alloy catalyst.
在上述分析方法中,优选地,基于第二模型,进行合金催化剂的氧化势分析包括:In the above analysis method, preferably, based on the second model, performing the oxidation potential analysis of the alloy catalyst includes:
获取第二模型的能量;obtain the energy of the second model;
获取合金催化剂去除发生氧化的金属原子后的能量;Obtain the energy after the alloy catalyst removes the oxidized metal atoms;
获取合金催化剂中发生氧化的金属原子在处于单质状态时的能量;Obtain the energy of the oxidized metal atoms in the alloy catalyst when they are in a simple state;
获取合金催化剂中发生氧化的金属在处于单质状态时的标准氧化势;Obtain the standard oxidation potential of the oxidized metal in the alloy catalyst when it is in a simple state;
基于第二模型的能量、合金催化剂去除发生氧化的金属原子后的能量、合金催化剂中发生氧化的金属原子在处于单质状态时的能量、获取合金催化剂中发生氧化的金属在处于单质状态时的标准氧化势,确定合金催化剂的氧化势(即合金被氧化成金属氧化物或金属氢氧化物时所需要外加的电势);Based on the energy of the second model, the energy of the alloy catalyst after removing the oxidized metal atom, the energy of the oxidized metal atom in the alloy catalyst when it is in a simple state, and the standard for obtaining the oxidized metal in an alloy catalyst when it is in a simple state Oxidation potential, to determine the oxidation potential of the alloy catalyst (that is, the external potential required when the alloy is oxidized into a metal oxide or metal hydroxide);
更优选地,基于第二模型,进行合金催化剂的氧化势分析进一步包括:More preferably, based on the second model, performing the oxidation potential analysis of the alloy catalyst further includes:
基于合金催化剂的氧化势,进行合金催化剂抗氧化性能评价;Based on the oxidation potential of the alloy catalyst, the oxidation resistance performance of the alloy catalyst was evaluated;
更优选地,确定合金催化剂的氧化势优选通过下述公式进行:More preferably, determining the oxidation potential of the alloy catalyst is preferably carried out by the following formula:
Uox=Uox(met1,bulk)-(E(AxBy)-E(AxBy-z)-z·E(B))÷nU ox =U ox (met1,bulk)-(E(A x B y )-E(A x B yz )-z·E(B))÷n
式中,Uox为合金催化剂的氧化势,V;Uox(met1,bulk)为合金催化剂中发生氧化的金属B在处于单质状态时的标准氧化势,V;E(AxBy)为第二模型的能量,eV;E(AxBy-z)为合金催化剂去除发生氧化的z个金属B原子后的能量,eV;E(B)为合金催化剂中发生氧化的金属B原子在处于单质状态时的能量,eV;n为合金催化剂发生氧化时转移的电子e的数目,个。In the formula, U ox is the oxidation potential of the alloy catalyst, V; U ox (met1,bulk) is the standard oxidation potential of the oxidized metal B in the alloy catalyst in a simple state, V; E(A x B y ) is The energy of the second model, eV; E(A x Byz ) is the energy of the alloy catalyst after removing the oxidized z metal B atoms, eV; E(B) is the oxidized metal B atoms in the alloy catalyst in the single substance The energy in the state, eV; n is the number of electrons e transferred when the alloy catalyst is oxidized, number.
在上述分析方法中,优选地,基于第二模型或第三模型,进行合金催化剂的H吸附自由能分析包括:In the above analysis method, preferably, based on the second model or the third model, the H adsorption free energy analysis of the alloy catalyst includes:
基于第二模型或第三模型确定合金催化剂的H吸附自由能;determining the H adsorption free energy of the alloy catalyst based on the second model or the third model;
基于合金催化剂的H吸附自由能,进行合金催化剂的HOR催化活性评价;其中,合金催化剂的H吸附自由能越接近0.414eV,合金催化剂的HOR催化活性越强。Based on the H adsorption free energy of the alloy catalyst, the HOR catalytic activity of the alloy catalyst was evaluated; the closer the H adsorption free energy of the alloy catalyst was to 0.414eV, the stronger the HOR catalytic activity of the alloy catalyst.
在上述分析方法中,优选地,所述基于第五模型,进行合金催化剂的Tafel极化曲线确定包括:In the above analysis method, preferably, the Tafel polarization curve determination of the alloy catalyst based on the fifth model includes:
基于第五模型确定合金催化剂表面的H2电化学氧化反应最优反应路径;Based on the fifth model, the optimal reaction path of H2 electrochemical oxidation reaction on the surface of the alloy catalyst is determined;
在第五模型的基础上,分别给第五模型中合金催化剂晶胞施加不同的电极电荷并引入相同电量的背景电荷保持晶胞的电中性,从而得到不同电荷对应的第六模型;其中,当施加电荷为0时对应的第六模型即为第五模型;On the basis of the fifth model, different electrode charges are applied to the alloy catalyst unit cell in the fifth model and background charges of the same amount are introduced to maintain the electrical neutrality of the unit cell, thereby obtaining the sixth model corresponding to different charges; among them, When the applied charge is 0, the corresponding sixth model is the fifth model;
基于合金催化剂表面的H2电化学氧化反应最优反应路径以及不同施加电荷对应的第六模型,确定合金催化剂在不同施加电荷条件下的HOR正反应和逆反应的反应能垒;Based on the optimal reaction path of the H2 electrochemical oxidation reaction on the surface of the alloy catalyst and the sixth model corresponding to different applied charges, the reaction energy barriers of the HOR forward and reverse reactions of the alloy catalyst under different applied charge conditions were determined;
基于合金催化剂在不同施加电荷条件下的HOR正反应和逆反应的反应能垒,确定合金催化剂在不同电极电势下的HOR正反应和逆反应的反应能垒;Based on the reaction energy barriers of the HOR forward reaction and reverse reaction of the alloy catalyst under different applied charge conditions, determine the reaction energy barriers of the alloy catalyst for the HOR forward reaction and reverse reaction at different electrode potentials;
基于合金催化剂在不同电极电势下的HOR正反应和逆反应的反应能垒,确定合金催化剂的平衡电势;Determine the equilibrium potential of the alloy catalyst based on the reaction energy barriers of the HOR forward and reverse reactions of the alloy catalyst at different electrode potentials;
基于合金催化剂的平衡电势,确定给定电势范围,进而确定给定电势范围内合金催化剂的HOR正反应和逆反应的反应能垒;Based on the equilibrium potential of the alloy catalyst, determine a given potential range, and then determine the reaction energy barriers of the HOR forward reaction and reverse reaction of the alloy catalyst within the given potential range;
基于给定电势范围内合金催化剂的HOR正反应和逆反应的反应能垒,确定给定电势范围内合金催化剂的动力学电流密度,进而得到合金催化剂的极化曲线(即合金催化剂的动力学电流密度随电势变化的曲线);Based on the reaction energy barriers of the HOR forward reaction and reverse reaction of the alloy catalyst within a given potential range, the kinetic current density of the alloy catalyst within a given potential range is determined, and then the polarization curve of the alloy catalyst is obtained (that is, the kinetic current density of the alloy catalyst Curves that vary with potential);
更优选地,所述在第五模型的基础上,分别给第五模型中合金催化剂晶胞施加不同的电极电荷并引入相同电量的背景电荷保持晶胞的电中性,从而得到不同电荷对应的第六模型包括:More preferably, on the basis of the fifth model, respectively apply different electrode charges to the alloy catalyst unit cell in the fifth model and introduce background charges of the same amount to maintain the electrical neutrality of the unit cell, thereby obtaining different charges corresponding to The sixth model includes:
在第五模型的基础上,分别给第五模型中合金催化剂晶胞施加不同的电极电荷并引入相同电量的背景电荷保持晶胞的电中性得到施加了不同的电极电荷的第五模型;On the basis of the fifth model, different electrode charges are applied to the alloy catalyst unit cell in the fifth model and background charges of the same amount are introduced to maintain the electrical neutrality of the unit cell to obtain the fifth model with different electrode charges applied;
分别对施加了不同的电极电荷的第五模型进行结构优化,得到不同电荷对应的第六模型;Structural optimization is performed on the fifth model with different electrode charges applied to obtain the sixth model corresponding to different charges;
进一步优选地,所述分别对施加了不同的电极电荷的第五模型进行结构优化,得到不同电荷对应的第六模型包括:Further preferably, the structural optimization of the fifth model to which different electrode charges are applied, to obtain the sixth model corresponding to different charges includes:
针对施加了不同的电极电荷的第五模型,分别进行第一性原理分子动力学模拟(AIMD),筛选出若干反应物、中间体和产物相对稳定的模型,进而对筛选出的反应物、中间体和产物相对稳定的模型中的碱性水溶液层进行基于第一性原理计算的结构优化,筛选出能量最稳定的模型即第六模型;For the fifth model with different electrode charges applied, the first-principle molecular dynamics simulation (AIMD) was carried out to screen out several relatively stable models of reactants, intermediates and products, and then the screened reactants, intermediates The structure of the alkaline aqueous layer in the model with relatively stable body and product is optimized based on first-principle calculations, and the model with the most stable energy is selected, namely the sixth model;
优选地,所述基于给定电势范围内合金催化剂的HOR正反应和逆反应的反应能垒,确定给定电势范围内合金催化剂的动力学电流密度通过下述公式进行:Preferably, the reaction energy barrier based on the HOR forward reaction and the reverse reaction of the alloy catalyst in a given potential range is determined to determine the kinetic current density of the alloy catalyst in a given potential range through the following formula:
其中,jkox为氧化动力学电流密度,mA/cm2;jkred为还原动力学电流密度,mA/cm2;A(U)为指前因(通常取值12.0-14.0),无量纲;R为气体常数(通常取8.3145),J/mol·K;T为温度,K;Ea ox(U)为U电势下合金催化剂的HOR正反应的反应能垒,eV;Ea red(U)为U电势下合金催化剂的HOR逆反应的反应能垒,eV;jk(U)为U电势下合金催化剂的动力学电流密度,mA/cm2。Among them, j kox is the oxidation kinetic current density, mA/cm 2 ; j kred is the reduction kinetic current density, mA/cm 2 ; A(U) is the exponent antecedent (usually 12.0-14.0), dimensionless; R is the gas constant (usually 8.3145), J/mol K; T is the temperature, K; E a ox (U) is the reaction energy barrier of the HOR forward reaction of the alloy catalyst at U potential, eV; E a red (U ) is the reaction energy barrier of the HOR reverse reaction of the alloy catalyst at U potential, eV; j k (U) is the kinetic current density of the alloy catalyst at U potential, mA/cm 2 .
在上述分析方法中,优选地,当该分析方法包括基于第五模型,进行合金催化剂的Tafel极化曲线确定时,H2电化学氧化性能评价步骤进一步包括基于合金催化剂的极化曲线,进行合金催化剂的交换电流密度分析;In the above analysis method, preferably, when the analysis method includes determining the Tafel polarization curve of the alloy catalyst based on the fifth model, the step of evaluating the electrochemical oxidation performance of H further includes performing an alloy catalyst based on the polarization curve of the alloy catalyst. The exchange current density analysis of the catalyst;
其中,所述基于合金催化剂的极化曲线,进行合金催化剂的交换电流密度分析包括:Wherein, the exchange current density analysis of the alloy catalyst based on the polarization curve of the alloy catalyst includes:
基于合金催化剂的极化曲线,确定合金催化剂的交换电流密度;Based on the polarization curve of the alloy catalyst, determine the exchange current density of the alloy catalyst;
更优选地,基于合金催化剂的极化曲线,进行合金催化剂的交换电流密度分析进一步包括:More preferably, based on the polarization curve of the alloy catalyst, performing the exchange current density analysis of the alloy catalyst further includes:
基于合金催化剂的交换电流密度,进行合金催化剂的HOR催化活性评价;Based on the exchange current density of the alloy catalyst, evaluate the HOR catalytic activity of the alloy catalyst;
更优选地,基于合金催化剂的极化曲线,确定合金催化剂的交换电流密度通过下述方式实现:利用Bulter-Volmer方程拟合极化曲线,拟合得到的系数即为合金催化剂的交换电流密度;具体而言,Bulter-Volmer方程为:More preferably, based on the polarization curve of the alloy catalyst, determining the exchange current density of the alloy catalyst is achieved in the following manner: using the Butter-Volmer equation to fit the polarization curve, and the coefficient obtained from the fitting is the exchange current density of the alloy catalyst; Specifically, the Butter-Volmer equation is:
其中,η=U-U0 Among them, η=UU 0
式中,jk为合金催化剂的动力学电流密度,mA/cm2;j0为合金催化剂的交换电流密度,mA/cm2;α为传递系数,无量纲;F为法拉第常数,C/mol;η为过电位,V;U为jk对应的电势,V;U0为平衡电势,V。In the formula, j k is the kinetic current density of the alloy catalyst, mA/cm 2 ; j 0 is the exchange current density of the alloy catalyst, mA/cm 2 ; α is the transfer coefficient, dimensionless; F is the Faraday constant, C/mol ; η is the overpotential, V; U is the potential corresponding to j k , V; U 0 is the equilibrium potential, V.
在上述分析方法中,优选地,H2电化学氧化性能评价步骤进一步包括基于第一模型,进行合金催化剂的形成能分析;In the above analysis method, preferably, the H2 electrochemical oxidation performance evaluation step further includes based on the first model, the analysis of the formation energy of the alloy catalyst is carried out;
所述基于第一模型,进行合金催化剂的形成能分析包括:Described based on the first model, carrying out the formation energy analysis of alloy catalyst comprises:
基于第一模型,确定合金催化剂的形成能;Based on the first model, determining the formation energy of the alloy catalyst;
基于合金催化剂的形成能,确定合金催化剂的稳定性。Based on the formation energy of the alloy catalyst, the stability of the alloy catalyst is determined.
在上述分析方法中,优选地,H2电化学氧化性能评价步骤进一步包括基于第五模型,进行合金催化剂的反应能垒分析;In the above analysis method, preferably, the H2 electrochemical oxidation performance evaluation step further includes based on the fifth model, carrying out the reaction energy barrier analysis of the alloy catalyst;
其中,所述基于第五模型,进行合金催化剂的反应能垒分析包括:Wherein, said based on the fifth model, carrying out the reaction energy barrier analysis of alloy catalyst includes:
基于第五模型确定合金催化剂表面的H2电化学氧化反应最优反应路径;Based on the fifth model, the optimal reaction path of H2 electrochemical oxidation reaction on the surface of the alloy catalyst is determined;
基于合金催化剂表面的H2电化学氧化反应最优反应路径以及第五模型,确定合金催化剂在HOR正反应的反应能垒;Based on the optimal reaction path of the H2 electrochemical oxidation reaction on the surface of the alloy catalyst and the fifth model, the reaction energy barrier of the alloy catalyst in the HOR positive reaction is determined;
基于合金催化剂的反应能垒,确定合金催化剂的催化活性。Based on the reaction energy barrier of the alloy catalyst, the catalytic activity of the alloy catalyst is determined.
在上述分析方法中,优选地,第三模型构建步骤包括:In the above analysis method, preferably, the third model building step includes:
在第二模型的基础上增设碱性水溶液模型,得到含有碱性水溶液层的合金催化剂表面初始模型;On the basis of the second model, an alkaline aqueous solution model is added to obtain an initial model of the surface of the alloy catalyst containing an alkaline aqueous solution layer;
对含有碱性水溶液层的合金催化剂表面初始模型进行第一性原理分子动力学模拟(AIMD),筛选出若干相对稳定的模型;First-principles molecular dynamics simulation (AIMD) was performed on the initial model of the alloy catalyst surface containing an alkaline aqueous solution layer, and several relatively stable models were screened out;
对筛选出的相对稳定的模型中的碱性水溶液层进行基于第一性原理计算的结构优化,筛选出能量最稳定的模型,作为含有碱性水溶液层的合金催化剂表面模型即第三模型。Structural optimization based on first-principles calculations was carried out on the alkaline aqueous solution layer in the selected relatively stable model, and the most energy-stable model was selected as the third model of the alloy catalyst surface model containing the alkaline aqueous solution layer.
在上述分析方法中,优选地,第四模型构建步骤包括:In the above analysis method, preferably, the fourth model building step includes:
对第四模型进行第一性原理分子动力学模拟(AIMD),筛选出若干反应物、中间体和产物相对稳定的模型;Perform first-principles molecular dynamics simulation (AIMD) on the fourth model, and screen out several relatively stable models of reactants, intermediates and products;
对筛选出的反应物、中间体和产物相对稳定的模型中的碱性水溶液层进行基于第一性原理计算的结构优化,筛选出能量最稳定的模型,作为最优结构的含有反应物、中间体和产物的碱性水溶液/合金催化剂表面模型即第五模型。Structural optimization based on first-principle calculations is carried out on the alkaline aqueous solution layer in the relatively stable model of reactants, intermediates and products screened out, and the model with the most stable energy is selected as the optimal structure containing reactants, intermediates The alkaline aqueous solution/alloy catalyst surface model of body and product is the fifth model.
在上述分析方法中,优选地,基于第一性原理计算的结构优化的能量、位移和梯度收敛标准分别为5.442×10-4eV,和/> In the above analysis method, preferably, the energy, displacement and gradient convergence criteria of structural optimization based on first-principles calculations are 5.442×10 -4 eV, respectively, and />
在上述分析方法中,优选地,所述合金为镍基非贵金属合金;更优选地,所述非贵金属包括Cr、Mn、Fe、Co、Ni、Cu和Zn等中的一种或两种以上的组合。In the above analysis method, preferably, the alloy is a nickel-based non-noble metal alloy; more preferably, the non-noble metal includes one or more than two of Cr, Mn, Fe, Co, Ni, Cu and Zn, etc. The combination.
本发明还提供了一种合金催化剂氢气电化学氧化性能的分析系统,其中,该系统包括:The present invention also provides an analysis system for the electrochemical oxidation performance of alloy catalyst hydrogen, wherein the system includes:
第一模型构建模块:用于构建合金晶胞模型即第一模型;The first model building block: used to construct the alloy unit cell model, that is, the first model;
第二模型构建模块:用于基于第一模型建构建合金催化剂表面模型即第二模型;The second model building module: used to build the surface model of the alloy catalyst based on the first model, that is, the second model;
可选择地第三模型构建模块:用于基于第二模型构建含有碱性水溶液层的合金催化剂表面模型即第三模型;Optionally, the third model construction module: used to construct the surface model of the alloy catalyst containing the alkaline aqueous solution layer based on the second model, that is, the third model;
可选择地第四模型构建模块:用于在第三模型中含有碱性水溶液层的合金催化剂表面分别构建反应物、中间体和产物的结构模型,得到含有反应物、中间体和产物的碱性水溶液/合金催化剂的初始模型即第四模型;Optionally, the fourth model building block: used to construct the structure models of reactants, intermediates and products on the surface of the alloy catalyst containing the alkaline aqueous solution layer in the third model, and obtain the basic structure model containing reactants, intermediates and products. The initial model of the aqueous solution/alloy catalyst is the fourth model;
可选择地第五模型构建模块:用于对第四模型进行结构优化,得到最优结构的含有反应物、中间体和产物的碱性水溶液/合金催化剂表面模型即第五模型;Optionally, the fifth model building block: used to optimize the structure of the fourth model to obtain an alkaline aqueous solution/alloy catalyst surface model containing reactants, intermediates and products, that is, the fifth model;
H2电化学氧化性能评价模块:包括氧化势分析子模块、H吸附自由能分析子模块、和/或、极化曲线确定子模块;其中, H2 electrochemical oxidation performance evaluation module: including oxidation potential analysis submodule, H adsorption free energy analysis submodule, and/or, polarization curve determination submodule; wherein,
氧化势分析子模块用于基于第二模型,进行合金催化剂的氧化势分析;The oxidation potential analysis sub-module is used to analyze the oxidation potential of the alloy catalyst based on the second model;
H吸附自由能分析子模块用于基于第二模型或第三模型,进行合金催化剂的H吸附自由能分析;The H adsorption free energy analysis submodule is used to analyze the H adsorption free energy of the alloy catalyst based on the second model or the third model;
极化曲线确定子模块用于基于第五模型,进行合金催化剂的Tafel极化曲线确定。The polarization curve determination sub-module is used to determine the Tafel polarization curve of the alloy catalyst based on the fifth model.
在上述分析系统中,优选地,氧化势分析子模块包括:In the above analysis system, preferably, the oxidation potential analysis submodule includes:
第一能量确定单元:用于获取第二模型的能量;The first energy determination unit: used to obtain the energy of the second model;
第二能量确定单元:用于获取合金催化剂去除发生氧化的金属原子后的能量;The second energy determination unit: used to obtain the energy of the alloy catalyst after removing the oxidized metal atoms;
第三能量确定单元:用于获取合金催化剂中发生氧化的金属原子在处于单质状态时的能量;The third energy determination unit: used to obtain the energy of the oxidized metal atoms in the alloy catalyst when they are in a simple state;
标准氧化势确定单元:用于获取合金催化剂中发生氧化的金属在处于单质状态时的标准氧化势;Standard oxidation potential determination unit: used to obtain the standard oxidation potential of the oxidized metal in the alloy catalyst when it is in a simple state;
氧化势确定单元:用于基于第二模型的能量、合金催化剂去除发生氧化的金属原子后的能量、合金催化剂中发生氧化的金属原子在处于单质状态时的能量、获取合金催化剂中发生氧化的金属在处于单质状态时的标准氧化势,确定合金催化剂的氧化势(即合金被氧化成金属氧化物或金属氢氧化物时所需要外加的电势);Oxidation potential determination unit: used for energy based on the second model, the energy of the alloy catalyst after removing the oxidized metal atoms, the energy of the oxidized metal atoms in the alloy catalyst when they are in a simple state, and the acquisition of the oxidized metal in the alloy catalyst The standard oxidation potential in the elemental state determines the oxidation potential of the alloy catalyst (that is, the external potential required when the alloy is oxidized to a metal oxide or metal hydroxide);
更优选地,氧化势分析子模块进一步包括:More preferably, the oxidation potential analysis submodule further includes:
抗氧化性能评价单元:用于基于合金催化剂的氧化势,进行合金催化剂抗氧化性能评价;Anti-oxidation performance evaluation unit: used to evaluate the oxidation resistance performance of alloy catalysts based on the oxidation potential of alloy catalysts;
更优选地,确定合金催化剂的氧化势优选通过下述公式进行:More preferably, determining the oxidation potential of the alloy catalyst is preferably carried out by the following formula:
Uox=Uox(met1,bulk)-(E(AxBy)-E(AxBy-z)-z·E(B))÷nU ox =U ox (met1,bulk)-(E(A x B y )-E(A x B yz )-z·E(B))÷n
式中,Uox为合金催化剂的氧化势,V;Uox(met1,bulk)为合金催化剂中发生氧化的金属B在处于单质状态时的标准氧化势,V;E(AxBy)为第二模型的能量,eV;E(AxBy-z)为合金催化剂去除发生氧化的z个金属B原子后的能量,eV;E(B)为合金催化剂中发生氧化的金属B原子在处于单质状态时的能量,eV;n为合金催化剂发生氧化时转移的电子e的数目,个。In the formula, U ox is the oxidation potential of the alloy catalyst, V; U ox (met1,bulk) is the standard oxidation potential of the oxidized metal B in the alloy catalyst in a simple state, V; E(A x B y ) is The energy of the second model, eV; E(A x Byz ) is the energy of the alloy catalyst after removing the oxidized z metal B atoms, eV; E(B) is the oxidized metal B atoms in the alloy catalyst in the single substance The energy in the state, eV; n is the number of electrons e transferred when the alloy catalyst is oxidized, number.
在上述分析系统中,优选地,H吸附自由能分析子模块包括:In the above analysis system, preferably, the H adsorption free energy analysis submodule includes:
H吸附自由能确定单元:用于基于第二模型或第三模型确定合金催化剂的H吸附自由能;H adsorption free energy determination unit: for determining the H adsorption free energy of the alloy catalyst based on the second model or the third model;
第一催化活性确定单元:用于基于合金催化剂的H吸附自由能,进行合金催化剂的HOR催化活性评价;其中,合金催化剂的H吸附自由能越接近0.414eV,合金催化剂的HOR催化活性越强。The first catalytic activity determining unit: used for evaluating the HOR catalytic activity of the alloy catalyst based on the H adsorption free energy of the alloy catalyst; wherein, the closer the H adsorption free energy of the alloy catalyst is to 0.414eV, the stronger the HOR catalytic activity of the alloy catalyst.
在上述分析系统中,优选地,极化曲线确定子模块包括:In the above analysis system, preferably, the polarization curve determination submodule includes:
最优反应路径确定单元:用于基于第五模型确定合金催化剂表面的H2电化学氧化反应最优反应路径;Optimal reaction path determination unit: used to determine the optimal reaction path of the H2 electrochemical oxidation reaction on the surface of the alloy catalyst based on the fifth model;
第六模型确定单元:用于在第五模型的基础上,分别给第五模型中合金催化剂晶胞施加不同的电极电荷并引入相同电量的背景电荷保持晶胞的电中性,从而得到不同电荷对应的第六模型;其中,当施加电荷为0时对应的第六模型即为第五模型;The sixth model determination unit: on the basis of the fifth model, it is used to apply different electrode charges to the alloy catalyst unit cell in the fifth model and introduce the background charge of the same amount to maintain the electrical neutrality of the unit cell, thereby obtaining different charges The corresponding sixth model; wherein, when the applied charge is 0, the corresponding sixth model is the fifth model;
不同电荷下正逆反应的反应能垒确定单元:用于基于合金催化剂表面的H2电化学氧化反应最优反应路径以及不同施加电荷对应的第六模型,确定合金催化剂在不同施加电荷条件下的HOR正反应和逆反应的反应能垒;Reaction energy barrier determination unit for forward and reverse reactions under different charges: for the optimal reaction path of H2 electrochemical oxidation reaction based on the surface of the alloy catalyst and the sixth model corresponding to different applied charges, to determine the HOR of the alloy catalyst under different applied charges Reaction barriers for forward and reverse reactions;
不同电势下正逆反应的反应能垒确定单元:用于基于合金催化剂在不同施加电荷条件下的HOR正反应和逆反应的反应能垒,确定合金催化剂在不同电极电势下的HOR正反应和逆反应的反应能垒;Reaction barrier determination unit for forward and reverse reactions at different potentials: used to determine the HOR forward and reverse reactions of alloy catalysts at different electrode potentials based on the reaction energy barriers of the forward and reverse HOR reactions of the alloy catalyst under different applied charge conditions Energy barrier;
平衡电势确定单元:用于基于合金催化剂在不同电极电势下的HOR正反应和逆反应的反应能垒,确定合金催化剂的平衡电势;Equilibrium potential determination unit: used to determine the equilibrium potential of the alloy catalyst based on the reaction energy barriers of the HOR forward reaction and reverse reaction of the alloy catalyst at different electrode potentials;
极化曲线确定单元:用于基于合金催化剂的平衡电势,确定给定电势范围,进而确定给定电势范围内合金催化剂的HOR正反应和逆反应的反应能垒;基于给定电势范围内合金催化剂的HOR正反应和逆反应的反应能垒,确定给定电势范围内合金催化剂的动力学电流密度,进而得到合金催化剂的极化曲线(即合金催化剂的动力学电流密度随电势变化的曲线);Polarization curve determination unit: used to determine the given potential range based on the equilibrium potential of the alloy catalyst, and then determine the reaction energy barriers of the HOR forward and reverse reactions of the alloy catalyst within the given potential range; based on the alloy catalyst within the given potential range The reaction energy barrier of HOR forward reaction and reverse reaction, determine the kinetic current density of the alloy catalyst within a given potential range, and then obtain the polarization curve of the alloy catalyst (that is, the curve of the kinetic current density of the alloy catalyst changing with the potential);
更优选地,第六模型确定单元包括:More preferably, the sixth model determination unit includes:
电荷施加子单元:用于在第五模型的基础上,分别给第五模型中合金催化剂晶胞施加不同的电极电荷并引入相同电量的背景电荷保持晶胞的电中性得到施加了不同的电极电荷的第五模型;Charge applying subunit: on the basis of the fifth model, it is used to apply different electrode charges to the alloy catalyst unit cell in the fifth model and introduce the same amount of background charge to maintain the electrical neutrality of the unit cell to obtain different electrodes fifth model of charge;
第六模型确定子单元:用于分别对施加了不同的电极电荷的第五模型进行结构优化,得到不同电荷对应的第六模型;The sixth model determination subunit: used to optimize the structure of the fifth model with different electrode charges applied to obtain the sixth model corresponding to different charges;
进一步优选地,第六模型确定子单元包括:Further preferably, the sixth model determination subunit includes:
第一优化组:用于针对施加了不同的电极电荷的第五模型,分别进行第一性原理分子动力学模拟(AIMD),筛选出若干反应物、中间体和产物相对稳定的模型;The first optimization group: for the fifth model with different electrode charges applied, perform first-principles molecular dynamics simulation (AIMD) respectively, and screen out several relatively stable models of reactants, intermediates and products;
第二优化组:用于对筛选出的反应物、中间体和产物相对稳定的模型中的碱性水溶液层进行基于第一性原理计算的结构优化,筛选出能量最稳定的模型即第六模型;The second optimization group: used to perform structural optimization based on first-principle calculations on the alkaline aqueous solution layer in the relatively stable model of the screened reactants, intermediates and products, and screen out the model with the most stable energy, namely the sixth model ;
优选地,所述基于给定电势范围内合金催化剂的HOR正反应和逆反应的反应能垒,确定给定电势范围内合金催化剂的动力学电流密度通过下述公式进行:Preferably, the reaction energy barrier based on the HOR forward reaction and the reverse reaction of the alloy catalyst in a given potential range is determined to determine the kinetic current density of the alloy catalyst in a given potential range through the following formula:
其中,jkox为氧化动力学电流密度,mA/cm2;jkred为还原动力学电流密度,mA/cm2;A(U)为指前因(通常取值12.0-14.0),无量纲;R为气体常数(通常取8.3145),J/mol·K;T为温度,K;Ea ox(U)为U电势下合金催化剂的HOR正反应的反应能垒,eV;Ea red(U)为U电势下合金催化剂的HOR逆反应的反应能垒,eV;jk(U)为U电势下合金催化剂的动力学电流密度,mA/cm2。Among them, j kox is the oxidation kinetic current density, mA/cm 2 ; j kred is the reduction kinetic current density, mA/cm 2 ; A(U) is the exponent antecedent (usually 12.0-14.0), dimensionless; R is the gas constant (usually 8.3145), J/mol K; T is the temperature, K; E a ox (U) is the reaction energy barrier of the HOR forward reaction of the alloy catalyst at U potential, eV; E a red (U ) is the reaction energy barrier of the HOR reverse reaction of the alloy catalyst at U potential, eV; j k (U) is the kinetic current density of the alloy catalyst at U potential, mA/cm 2 .
在上述分析系统中,优选地,当H2电化学氧化性能评价模块包括极化曲线确定子模块时,H2电化学氧化性能评价模块进一步包括:In the above analysis system, preferably, when the H2 electrochemical oxidation performance evaluation module includes a polarization curve determination submodule, the H2 electrochemical oxidation performance evaluation module further includes:
交换电流密度分析子模块:用于基于合金催化剂的极化曲线,进行合金催化剂的交换电流密度分析;Exchange current density analysis sub-module: used to analyze the exchange current density of the alloy catalyst based on the polarization curve of the alloy catalyst;
其中,交换电流密度分析子模块包括:Among them, the exchange current density analysis sub-module includes:
交换电流密度确定单元:用于基于合金催化剂的极化曲线,确定合金催化剂的交换电流密度;Exchange current density determination unit: used to determine the exchange current density of the alloy catalyst based on the polarization curve of the alloy catalyst;
更优选地,交换电流密度分析子模块进一步包括:More preferably, the exchange current density analysis submodule further includes:
第二催化活性评价单元:用于基于合金催化剂的交换电流密度,进行合金催化剂的HOR催化活性评价;The second catalytic activity evaluation unit: used for evaluating the HOR catalytic activity of the alloy catalyst based on the exchange current density of the alloy catalyst;
更优选地,基于合金催化剂的极化曲线,确定合金催化剂的交换电流密度通过下述方式实现:利用Bulter-Volmer方程拟合极化曲线,拟合得到的系数即为合金催化剂的交换电流密度;具体而言,Bulter-Volmer方程为:More preferably, based on the polarization curve of the alloy catalyst, determining the exchange current density of the alloy catalyst is achieved in the following manner: using the Butter-Volmer equation to fit the polarization curve, and the coefficient obtained from the fitting is the exchange current density of the alloy catalyst; Specifically, the Butter-Volmer equation is:
其中,η=U-U0 Among them, η=UU 0
式中,jk为合金催化剂的动力学电流密度,mA/cm2;j0为合金催化剂的交换电流密度,mA/cm2;α为传递系数,无量纲;F为法拉第常数,C/mol;η为过电位,V;U为jk对应的电势,V;U0为平衡电势,V。In the formula, j k is the kinetic current density of the alloy catalyst, mA/cm 2 ; j 0 is the exchange current density of the alloy catalyst, mA/cm 2 ; α is the transfer coefficient, dimensionless; F is the Faraday constant, C/mol ; η is the overpotential, V; U is the potential corresponding to j k , V; U 0 is the equilibrium potential, V.
在上述分析系统中,优选地,H2电化学氧化性能评价模块进一步包括:In the above analysis system, preferably, the H2 electrochemical oxidation performance evaluation module further includes:
形成能分析子模块:用于基于第一模型,进行合金催化剂的形成能分析;Formation energy analysis sub-module: used to analyze the formation energy of alloy catalysts based on the first model;
其中,形成能分析子模块包括:Among them, the formation energy analysis sub-module includes:
形成能确定单元:用于基于第一模型,确定合金催化剂的形成能;Formation energy determination unit: used to determine the formation energy of the alloy catalyst based on the first model;
稳定性评价单元:用于基于合金催化剂的形成能,确定合金催化剂的稳定性。Stability evaluation unit: used to determine the stability of the alloy catalyst based on the formation energy of the alloy catalyst.
在上述分析系统中,优选地,H2电化学氧化性能评价模块进一步包括:In the above analysis system, preferably, the H2 electrochemical oxidation performance evaluation module further includes:
反应能垒分析子模块:用于基于第五模型,进行合金催化剂的反应能垒分析;Reaction energy barrier analysis sub-module: used to analyze the reaction energy barrier of alloy catalysts based on the fifth model;
反应能垒分析子模块包括:Reaction barrier analysis submodules include:
最优反应路径确定单元:用于基于第五模型确定合金催化剂表面的H2电化学氧化反应最优反应路径;Optimal reaction path determination unit: used to determine the optimal reaction path of the H2 electrochemical oxidation reaction on the surface of the alloy catalyst based on the fifth model;
反应能垒确定单元:用于基于合金催化剂表面的H2电化学氧化反应最优反应路径以及第五模型,确定合金催化剂在HOR正反应的反应能垒;Reaction energy barrier determination unit: used to determine the reaction energy barrier of the alloy catalyst in the HOR forward reaction based on the optimal reaction path of the electrochemical oxidation reaction of H2 on the surface of the alloy catalyst and the fifth model;
第三催化活性分析单元:用于基于合金催化剂的反应能垒,确定合金催化剂的催化活性。The third catalytic activity analysis unit: used to determine the catalytic activity of the alloy catalyst based on the reaction energy barrier of the alloy catalyst.
在上述分析系统中,优选地,第三模型构建模块包括:In the above analysis system, preferably, the third model building module includes:
初始模型构建子模块:用于在第二模型的基础上增设碱性水溶液模型,得到含有碱性水溶液层的合金催化剂表面初始模型;Initial model construction sub-module: used to add an alkaline aqueous solution model on the basis of the second model to obtain an initial model of the surface of the alloy catalyst containing an alkaline aqueous solution layer;
第一模型优化子模块:用于对含有碱性水溶液层的合金催化剂表面初始模型进行第一性原理分子动力学模拟(AIMD),筛选出若干相对稳定的模型;The first model optimization sub-module: used to perform first-principles molecular dynamics simulation (AIMD) on the initial model of the alloy catalyst surface containing an alkaline aqueous solution layer, and screen out several relatively stable models;
第二模型优化子模块:用于对筛选出的相对稳定的模型中的碱性水溶液层进行基于第一性原理计算的结构优化,筛选出能量最稳定的模型,作为含有碱性水溶液层的合金催化剂表面模型即第三模型。The second model optimization sub-module: it is used to perform structural optimization based on first-principle calculations on the alkaline aqueous solution layer in the screened relatively stable model, and select the model with the most stable energy as an alloy containing an alkaline aqueous solution layer The catalyst surface model is the third model.
在上述分析系统中,优选地,第四模型构建模块包括:In the above analysis system, preferably, the fourth model building module includes:
第三模型优化子模块:用于对第四模型进行第一性原理分子动力学模拟(AIMD),筛选出若干反应物、中间体和产物相对稳定的模型;The third model optimization sub-module: used to perform first-principles molecular dynamics simulation (AIMD) on the fourth model, and screen out several relatively stable models of reactants, intermediates and products;
第四模型优化子模块:用于对筛选出的反应物、中间体和产物相对稳定的模型中的碱性水溶液层进行基于第一性原理计算的结构优化,筛选出能量最稳定的模型,作为最优结构的含有反应物、中间体和产物的碱性水溶液/合金催化剂表面模型即第五模型。The fourth model optimization sub-module: it is used to perform structural optimization based on first-principle calculations on the alkaline aqueous solution layer in the relatively stable model of the screened reactants, intermediates and products, and select the model with the most stable energy as The surface model of alkaline aqueous solution/alloy catalyst containing reactants, intermediates and products with optimal structure is the fifth model.
在上述分析系统中,优选地,基于第一性原理计算的结构优化的能量、位移和梯度收敛标准分别为5.442×10-4eV,和/> In the above analysis system, preferably, the energy, displacement and gradient convergence criteria of structure optimization based on first-principles calculations are 5.442×10 -4 eV, respectively, and />
在上述分析方法中,优选地,所述合金为镍基非贵金属合金;更优选地,所述非贵金属包括Cr、Mn、Fe、Co、Ni、Cu和Zn等中的一种或两种以上的组合。In the above analysis method, preferably, the alloy is a nickel-based non-noble metal alloy; more preferably, the non-noble metal includes one or more than two of Cr, Mn, Fe, Co, Ni, Cu and Zn, etc. The combination.
本发明提供的技术方案无需进行室内试验即可实现包括镍基非贵金属合金催化剂在内的合金催化剂的H2电化学氧化性能的分析,克服现有技术需要通过实验技术进行合金催化剂的H2电化学氧化性能分析的缺陷与不足,包括克服现有实验技术对碱性条件下H2电化学氧化实验设备及相应操作复杂以及实验合成新型碱性H2电化学氧化催化剂盲目性的问题,极大节约时间和材料成本。The technical scheme provided by the present invention can realize the analysis of the H2 electrochemical oxidation performance of alloy catalysts including nickel-based non-precious metal alloy catalysts without indoor experiments, and overcome the need of the prior art to carry out the H2 electrochemical oxidation performance of alloy catalysts through experimental techniques. The defects and deficiencies in the analysis of chemical oxidation performance include overcoming the problems of the existing experimental technology for H2 electrochemical oxidation experimental equipment and corresponding operations under alkaline conditions and the blindness of the experimental synthesis of new alkaline H2 electrochemical oxidation catalysts, which greatly Save time and material costs.
附图说明Description of drawings
图1为本发明实施例1提供的合金催化剂H2电化学氧化性能的评价方法的流程示意图。Fig. 1 is a schematic flow chart of the evaluation method for the electrochemical oxidation performance of alloy catalyst H2 provided by Example 1 of the present invention.
图2A为本发明实施例1中建立的Ni3Cr合金催化剂表面模型。FIG. 2A is the surface model of the Ni 3 Cr alloy catalyst established in Example 1 of the present invention.
图2B为本发明实施例1中建立的Ni2Cr2合金催化剂表面模型。FIG. 2B is a surface model of the Ni 2 Cr 2 alloy catalyst established in Example 1 of the present invention.
图2C为本发明实施例1中建立的NiCr3合金催化剂表面模型。FIG. 2C is the surface model of the NiCr 3 alloy catalyst established in Example 1 of the present invention.
图3A为本发明实施例1中建立的含有碱性水溶液层的Ni3Cr合金催化剂表面模型。FIG. 3A is a surface model of a Ni 3 Cr alloy catalyst containing an alkaline aqueous solution layer established in Example 1 of the present invention.
图3B为本发明实施例1中建立的含有碱性水溶液层的Ni2Cr2合金催化剂表面模型。FIG. 3B is a surface model of the Ni 2 Cr 2 alloy catalyst containing an alkaline aqueous solution layer established in Example 1 of the present invention.
图3C为本发明实施例1中建立的含有碱性水溶液层的NiCr3合金催化剂表面模型。FIG. 3C is a surface model of a NiCr 3 alloy catalyst containing an alkaline aqueous solution layer established in Example 1 of the present invention.
图4A为本发明实施例1中的Ni3Cr合金催化剂的Tafel极化曲线。Fig. 4A is the Tafel polarization curve of the Ni 3 Cr alloy catalyst in Example 1 of the present invention.
图4B为本发明实施例1中的Ni3Cr合金催化剂的Tafel极化曲线。Fig. 4B is the Tafel polarization curve of the Ni 3 Cr alloy catalyst in Example 1 of the present invention.
图4C为本发明实施例1中的Ni3Cr合金催化剂的Tafel极化曲线。FIG. 4C is the Tafel polarization curve of the Ni 3 Cr alloy catalyst in Example 1 of the present invention.
具体实施方式Detailed ways
为使本发明实施例的目的、技术方案和优点更加清楚,下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚完整的描述。显然,所描述的实施例是本发明的一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其它实施例,都属于本发明的保护范围。In order to make the purpose, technical solutions and advantages of the embodiments of the present invention more clear, the technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Apparently, the described embodiments are some, not all, embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.
下面参考本发明的若干代表性实施方式,详细阐述本发明的原理和精神。The principle and spirit of the present invention will be described in detail below with reference to several representative embodiments of the present invention.
本发明一具体实施例提供了一种合金催化剂H2电化学氧化性能的评价方法,其中,该方法包括:A specific embodiment of the present invention provides a kind of alloy catalyst H The evaluation method of electrochemical oxidation performance, wherein, this method comprises:
步骤S1:构建合金晶胞模型即第一模型;Step S1: Construct the alloy unit cell model, that is, the first model;
步骤S2:基于第一模型建构建合金催化剂表面模型即第二模型;Step S2: Constructing the surface model of the alloy catalyst based on the first model, that is, the second model;
可选择地步骤S3:基于第二模型构建含有碱性水溶液层的合金催化剂表面模型即第三模型;Optional step S3: Constructing the surface model of the alloy catalyst containing the alkaline aqueous solution layer, that is, the third model based on the second model;
可选择地步骤S4:在第三模型中含有碱性水溶液层的合金催化剂表面分别构建反应物、中间体和产物的结构模型,得到含有反应物、中间体和产物的碱性水溶液/合金催化剂的初始模型即第四模型;Optional step S4: Construct the structure models of the reactants, intermediates and products on the surface of the alloy catalyst containing the alkaline aqueous solution layer in the third model, and obtain the structure model of the alkaline aqueous solution/alloy catalyst containing the reactants, intermediates and products The initial model is the fourth model;
可选择地步骤S5:对第四模型进行结构优化,得到最优结构的含有反应物、中间体和产物的碱性水溶液/合金催化剂表面模型即第五模型;Optional step S5: performing structural optimization on the fourth model to obtain the surface model of the alkaline aqueous solution/alloy catalyst containing reactants, intermediates and products with the optimal structure, that is, the fifth model;
步骤S6:基于第二模型,进行合金催化剂的氧化势分析;和/或Step S6: based on the second model, performing an oxidation potential analysis of the alloy catalyst; and/or
基于第二模型或第三模型,进行合金催化剂的H吸附自由能分析;和/或Based on the second model or the third model, carry out the H adsorption free energy analysis of the alloy catalyst; and/or
基于第五模型,进行合金催化剂的Tafel极化曲线确定。Based on the fifth model, the Tafel polarization curve of the alloy catalyst was determined.
在一些具体实施方式中,合金催化剂H2电化学氧化性能的分析方法采用方式一进行,具体包括:In some specific embodiments, the analysis method of the alloy catalyst H2 electrochemical oxidation performance adopts mode one to carry out, specifically includes:
步骤S1:构建合金晶胞模型即第一模型;Step S1: Construct the alloy unit cell model, that is, the first model;
步骤S2:基于第一模型建构建合金催化剂表面模型即第二模型;Step S2: Constructing the surface model of the alloy catalyst based on the first model, that is, the second model;
可选择的步骤S3:基于第二模型构建含有碱性水溶液层的合金催化剂表面模型即第三模型(属于体相合金催化剂模型);Optional step S3: constructing the surface model of the alloy catalyst containing the alkaline aqueous solution layer, that is, the third model (belonging to the bulk alloy catalyst model) based on the second model;
步骤S6:基于第二模型或第三模型,进行合金催化剂的H吸附自由能分析;Step S6: Based on the second model or the third model, analyze the H adsorption free energy of the alloy catalyst;
其中,方式一具体可以采用方式A或者方式B进行:Among them,
方式A包括:Method A includes:
步骤S1:构建合金晶胞模型即第一模型;Step S1: Construct the alloy unit cell model, that is, the first model;
步骤S2:基于第一模型建构建合金催化剂表面模型即第二模型;Step S2: Constructing the surface model of the alloy catalyst based on the first model, that is, the second model;
步骤S6:基于第二模型,进行合金催化剂的氧化势分析;Step S6: Based on the second model, analyze the oxidation potential of the alloy catalyst;
方式B包括:Method B includes:
步骤S1:构建合金晶胞模型即第一模型;Step S1: Construct the alloy unit cell model, that is, the first model;
步骤S2:基于第一模型建构建合金催化剂表面模型即第二模型;Step S2: Constructing the surface model of the alloy catalyst based on the first model, that is, the second model;
步骤S3:基于第二模型构建含有碱性水溶液层的合金催化剂表面模型即第三模型;Step S3: Constructing the surface model of the alloy catalyst containing the alkaline aqueous solution layer, namely the third model, based on the second model;
步骤S6:基于第三模型,进行合金催化剂的氧化势分析。Step S6: Based on the third model, analyze the oxidation potential of the alloy catalyst.
在一些具体实施方式中,合金催化剂H2电化学氧化性能的分析方法采用方式二进行,具体包括:In some specific implementations, the analysis method of the alloy catalyst H2 electrochemical oxidation performance is carried out in mode two, specifically including:
步骤S1:构建合金晶胞模型即第一模型;Step S1: Construct the alloy unit cell model, that is, the first model;
步骤S2:基于第一模型建构建合金催化剂表面模型即第二模型;Step S2: Constructing the surface model of the alloy catalyst based on the first model, that is, the second model;
步骤S3:基于第二模型构建含有碱性水溶液层的合金催化剂表面模型即第三模型;Step S3: Constructing the surface model of the alloy catalyst containing the alkaline aqueous solution layer, namely the third model, based on the second model;
步骤S6:基于第二模型,进行合金催化剂的H吸附自由能分析。Step S6: Based on the second model, perform H adsorption free energy analysis of the alloy catalyst.
在一些具体实施方式中,合金催化剂H2电化学氧化性能的分析方法采用方式三进行,具体包括:In some specific implementations, the analysis method of the alloy catalyst H2 electrochemical oxidation performance is carried out in mode three, specifically including:
步骤S1:构建合金晶胞模型即第一模型;Step S1: Construct the alloy unit cell model, that is, the first model;
步骤S2:基于第一模型建构建合金催化剂表面模型即第二模型;Step S2: Constructing the surface model of the alloy catalyst based on the first model, that is, the second model;
步骤S3:基于第二模型构建含有碱性水溶液层的合金催化剂表面模型即第三模型;Step S3: Constructing the surface model of the alloy catalyst containing the alkaline aqueous solution layer, namely the third model, based on the second model;
步骤S4:在第三模型中含有碱性水溶液层的合金催化剂表面分别构建反应物、中间体和产物的结构模型,得到含有反应物、中间体和产物的碱性水溶液/合金催化剂的初始模型即第四模型;Step S4: Construct the structure models of the reactants, intermediates and products on the surface of the alloy catalyst containing the alkaline aqueous solution layer in the third model, and obtain the initial model of the alkaline aqueous solution/alloy catalyst containing the reactants, intermediates and products, namely the fourth model;
步骤S5:对第四模型进行结构优化,得到最优结构的含有反应物、中间体和产物的碱性水溶液/合金催化剂表面模型即第五模型;Step S5: Perform structural optimization on the fourth model to obtain the surface model of the alkaline aqueous solution/alloy catalyst containing reactants, intermediates and products with the optimal structure, that is, the fifth model;
步骤S6:基于第五模型,进行合金催化剂的Tafel极化曲线确定。Step S6: Based on the fifth model, determine the Tafel polarization curve of the alloy catalyst.
在一些具体实施方式中,合金催化剂H2电化学氧化性能的分析方法采用方式四进行,具体包括:方式一、方式二和方式三中的至少两者。In some specific embodiments, the method for analyzing the electrochemical oxidation performance of the alloy catalyst H2 is carried out using the fourth method, which specifically includes: at least two of the first method, the second method and the third method.
在一些具体实施方式中,合金为镍基非贵金属合金;In some embodiments, the alloy is a nickel-based non-noble metal alloy;
进一步地,所述非贵金属包括Cr、Mn、Fe、Co、Ni、Cu和Zn等中的一种或两种以上的组合。Further, the non-noble metal includes one or a combination of two or more of Cr, Mn, Fe, Co, Ni, Cu and Zn.
在一些具体实施方式中,合金催化剂的氧化势分析包括:In some embodiments, the oxidation potential analysis of the alloy catalyst includes:
步骤S611:获取第二模型的能量;Step S611: Obtain the energy of the second model;
步骤S612:获取合金催化剂去除发生氧化的金属原子后的能量;Step S612: Obtain the energy of the alloy catalyst after removing the oxidized metal atoms;
步骤S613:获取合金催化剂中发生氧化的金属原子在处于单质状态时的能量;Step S613: Obtain the energy of the oxidized metal atoms in the alloy catalyst when they are in a simple state;
步骤S614:获取合金催化剂中发生氧化的金属在处于单质状态时的标准氧化势;Step S614: Obtain the standard oxidation potential of the oxidized metal in the alloy catalyst when it is in a simple state;
步骤S615:基于第二模型的能量、合金催化剂去除发生氧化的金属原子后的能量、合金催化剂中发生氧化的金属原子在处于单质状态时的能量、获取合金催化剂中发生氧化的金属在处于单质状态时的标准氧化势,确定合金催化剂的氧化势(即合金被氧化成金属氧化物或金属氢氧化物时所需要外加的电势);Step S615: Based on the energy of the second model, the energy of the alloy catalyst after removing the oxidized metal atoms, the energy of the oxidized metal atoms in the alloy catalyst when they are in a simple state, and obtain the oxidized metal in the alloy catalyst in a simple state The standard oxidation potential at the time determines the oxidation potential of the alloy catalyst (that is, the external potential required when the alloy is oxidized into a metal oxide or metal hydroxide);
进一步地,确定合金催化剂的氧化势优选通过下述公式进行:Further, determining the oxidation potential of the alloy catalyst is preferably carried out by the following formula:
Uox=Uox(met1,bulk)-(E(AxBy)-E(AxBy-z)-z·E(B))÷nU ox =U ox (met1,bulk)-(E(A x B y )-E(A x B yz )-z·E(B))÷n
式中,Uox为合金催化剂的氧化势,V;Uox(met1,bulk)为合金催化剂中发生氧化的金属B在处于单质状态时的标准氧化势,V;E(AxBy)为第二模型的能量,eV;E(AxBy-z)为合金催化剂去除发生氧化的z个金属B原子后的能量,eV;E(B)为合金催化剂中发生氧化的金属B原子在处于单质状态时的能量,eV;n为合金催化剂发生氧化时转移的电子e的数目,个;In the formula, U ox is the oxidation potential of the alloy catalyst, V; U ox (met1,bulk) is the standard oxidation potential of the oxidized metal B in the alloy catalyst in a simple state, V; E(A x B y ) is The energy of the second model, eV; E(A x Byz ) is the energy of the alloy catalyst after removing the oxidized z metal B atoms, eV; E(B) is the oxidized metal B atoms in the alloy catalyst in the single substance The energy in the state, eV; n is the number of electrons e transferred when the alloy catalyst is oxidized, number;
其中,第二模型的能量、合金催化剂去除发生氧化的金属原子后的能量、合金催化剂中发生氧化的金属原子在处于单质状态时的能量可以利用本领域常规方式获取,例如通过第一性原理计算得到;Among them, the energy of the second model, the energy of the alloy catalyst after removing the oxidized metal atoms, and the energy of the oxidized metal atoms in the alloy catalyst when they are in a simple state can be obtained by conventional methods in the field, such as through first-principle calculations get;
其中,合金催化剂中发生氧化的金属在处于单质状态时的标准氧化势可以通过物理化学手册查询得到;Among them, the standard oxidation potential of the oxidized metal in the alloy catalyst when it is in a single substance state can be obtained by querying the Handbook of Physical Chemistry;
以NiM合金催化剂为例进行说明,假设AxBy合金催化剂(对应NiM合金催化剂)中有z个金属B原子发生了氧化(因为金属的氧化不可能一下全都氧化,开始是部分氧化),利用上述Uox=Uox(met1,bulk)-(E(AxBy)-E(AxBy-z)-z·E(B))÷n计算NiM合金催化剂的氧化势,其中,E(AxBy)为计算的NiM合金催化剂表面模型的能量;z为发生氧化的金属原子数目;E(AxBy-z)为NiM合金催化剂去除z个发生氧化的金属原子后的合金催化剂能量(第一性原理计算计算得到);EB为发生氧化的原子在处于其金属单质状态时的能量(第一性原理计算计算得到);n为NiM合金催化剂发生氧化时转移的电子e的数目;为NiM合金催化剂中发生氧化的金属在其为单质状态时的标准氧化势(即当NiM合金催化剂中的M(或Ni)发生了氧化,则/>为M(或Ni)处于单质晶体时对应的标准氧化势,数据可查物理化学手册);该方式基于金属单质的标准氧化势结合第一性原理计算得到合金状态下的氧化势;Taking the NiM alloy catalyst as an example, assuming that there are z metal B atoms oxidized in the A x B y alloy catalyst (corresponding to the NiM alloy catalyst) (because the oxidation of the metal cannot be oxidized all at once, and it is partially oxidized at the beginning), use Above-mentioned U ox =U ox (met1, bulk)-(E(A x B y )-E(A x B yz )-z·E(B))÷n calculates the oxidation potential of NiM alloy catalyst, wherein, E( A x B y ) is the energy of the calculated surface model of the NiM alloy catalyst; z is the number of oxidized metal atoms; E(A x B yz ) is the energy of the NiM alloy catalyst after removing z oxidized metal atoms ( Calculated by first-principle calculation); EB is the energy of the oxidized atom when it is in its metal state (calculated by first-principle calculation); n is the number of electrons e transferred when the NiM alloy catalyst is oxidized; is the standard oxidation potential of the oxidized metal in the NiM alloy catalyst when it is in a simple state (that is, when M (or Ni) in the NiM alloy catalyst has been oxidized, then /> is the standard oxidation potential corresponding to M (or Ni) in a single crystal, The data can be found in the Handbook of Physical Chemistry); this method is based on the standard oxidation potential of the metal element combined with first-principle calculations to obtain the oxidation potential in the alloy state;
进一步地,合金催化剂的氧化势分析进一步包括:Further, the oxidation potential analysis of the alloy catalyst further includes:
步骤S615:基于合金催化剂的氧化势,进行合金催化剂抗氧化性能评价;Step S615: Based on the oxidation potential of the alloy catalyst, evaluate the oxidation resistance of the alloy catalyst;
其中,合金催化剂的氧化势可以表征合金催化剂在碱性条件下的抗氧化能力;若合金催化剂为正值时,表示合金可发生氧化反应,氧化势越大,表明合金越容易被氧化,则合金抗氧化能力越差;若合金催化剂为负值时,表示合金不容易发生氧化反应,氧化势越小,表明合金越不容易被氧化,则合金催化剂的抗氧化能力越强。Among them, the oxidation potential of the alloy catalyst can represent the oxidation resistance of the alloy catalyst under alkaline conditions; if the alloy catalyst is positive, it means that the alloy can undergo oxidation reaction, and the larger the oxidation potential, the easier the alloy is to be oxidized. The worse the oxidation resistance; if the alloy catalyst is negative, it means that the alloy is not easy to undergo oxidation reaction, and the smaller the oxidation potential, it means that the alloy is less likely to be oxidized, and the oxidation resistance of the alloy catalyst is stronger.
在一些具体实施方式中,合金催化剂H吸附自由能分析包括:In some specific embodiments, alloy catalyst H adsorption free energy analysis includes:
步骤S621:基于第二模型或第三模型确定合金催化剂的H吸附自由能;Step S621: determining the H adsorption free energy of the alloy catalyst based on the second model or the third model;
其中,基于第二模型或第三模型确定合金催化剂的H吸附自由能采用常规方式确定皆可,例如,首先计算H在第二模型或第三模型合金催化剂表面吸附后的能量减去H未吸附时第二模型或第三模型的能量以及1/2H2分子的能量,然后加上零点能修正、熵变修正以及pH值修正能获得H吸附自由能;Wherein, the H adsorption free energy of the alloy catalyst based on the second model or the third model can be determined in a conventional way, for example, first calculate the energy after H is adsorbed on the surface of the alloy catalyst in the second model or the third model minus the unadsorbed H When the energy of the second model or the third model and the energy of 1/2H 2 molecules are added, then the zero-point energy correction, entropy change correction and pH value correction can be added to obtain the H adsorption free energy;
步骤S622:基于合金催化剂的H吸附自由能,进行合金催化剂的HOR催化活性评价;其中,合金催化剂的H吸附自由能越接近0.414eV,合金催化剂的HOR催化活性越强;Step S622: Based on the H adsorption free energy of the alloy catalyst, evaluate the HOR catalytic activity of the alloy catalyst; wherein, the closer the H adsorption free energy of the alloy catalyst is to 0.414eV, the stronger the HOR catalytic activity of the alloy catalyst;
合金催化剂上的H2电化学氧化与H在催化剂表面上的吸附强弱有密切关系,H在NiM合金表面吸附过弱,不利于H2在催化剂表面上分解成H;若H在合金表面吸附过强,则不利于吸附的H进一步被氧化成水,因此,可以用H吸附自由能来表征合金催化剂的H2电化学氧化性能;The electrochemical oxidation of H2 on the alloy catalyst is closely related to the adsorption strength of H on the catalyst surface. The adsorption of H on the NiM alloy surface is too weak, which is not conducive to the decomposition of H2 into H on the catalyst surface; if H is adsorbed on the alloy surface If it is too strong, it is not conducive to the further oxidation of the adsorbed H into water. Therefore, the H adsorption free energy can be used to characterize the H2 electrochemical oxidation performance of the alloy catalyst;
目前使用H吸附自由能进行催化活性判断时,通常认为H吸附自由能越接近零,催化剂催化活性越好,然而这个判断方式适用于酸性条件下的催化活性判断;发明人经过大量研究认为在碱性条件下,最佳的H吸附自由能是0.414eV,即活性最高的合金催化剂表面上H吸附自由能理论值为0.414eV;由此,在本发明技术方案中,H吸附自由能越接近0.414eV,合金催化剂的HOR活性越强。At present, when using the free energy of H adsorption to judge the catalytic activity, it is generally believed that the closer the free energy of H adsorption is to zero, the better the catalytic activity of the catalyst. However, this judgment method is suitable for the judgment of catalytic activity under acidic conditions; Under active conditions, the best H adsorption free energy is 0.414eV, that is, the theoretical value of H adsorption free energy on the surface of the alloy catalyst with the highest activity is 0.414eV; thus, in the technical solution of the present invention, the closer the H adsorption free energy is to 0.414 eV, the stronger the HOR activity of the alloy catalyst.
在一些具体实施方式中,合金催化剂的极化曲线确定包括:In some specific embodiments, the determination of the polarization curve of the alloy catalyst comprises:
步骤S631:基于第五模型确定合金催化剂表面的H2电化学氧化反应最优反应路径(参见下述步骤S661);Step S631: Determine the optimal reaction path of H2 electrochemical oxidation reaction on the surface of the alloy catalyst based on the fifth model (see step S661 below);
步骤S632:在第五模型的基础上,分别给第五模型中合金催化剂晶胞施加不同的电极电荷并引入相同电量的背景电荷保持晶胞的电中性,从而得到不同电荷对应的第六模型;其中,当施加电荷为0时对应的第六模型即为第五模型;Step S632: On the basis of the fifth model, apply different electrode charges to the alloy catalyst unit cell in the fifth model and introduce background charges of the same amount to maintain the electrical neutrality of the unit cell, thereby obtaining the sixth model corresponding to different charges ; Among them, when the applied charge is 0, the corresponding sixth model is the fifth model;
步骤S633:基于合金催化剂表面的H2电化学氧化反应最优反应路径以及不同施加电荷对应的第六模型,确定合金催化剂在不同施加电荷条件下的HOR正反应和逆反应的反应能垒;Step S633: Based on the optimal reaction path of the electrochemical oxidation reaction of H2 on the surface of the alloy catalyst and the sixth model corresponding to different applied charges, determine the reaction energy barriers of the HOR forward reaction and reverse reaction of the alloy catalyst under different applied charge conditions;
步骤S634:基于合金催化剂在不同施加电荷条件下的HOR正反应和逆反应的反应能垒,确定合金催化剂在不同电极电势下的HOR正反应和逆反应的反应能垒;Step S634: Based on the reaction energy barriers of the alloy catalyst's HOR forward reaction and reverse reaction under different applied charge conditions, determine the reaction energy barriers of the alloy catalyst's HOR forward reaction and reverse reaction under different electrode potentials;
步骤S635:基于合金催化剂在不同电极电势下的HOR正反应和逆反应的反应能垒,确定合金催化剂的平衡电势;Step S635: Determine the equilibrium potential of the alloy catalyst based on the reaction energy barriers of the HOR forward reaction and reverse reaction of the alloy catalyst at different electrode potentials;
步骤S636:基于合金催化剂的平衡电势,确定给定电势范围,进而确定给定电势范围内合金催化剂的HOR正反应和逆反应的反应能垒;Step S636: Based on the equilibrium potential of the alloy catalyst, determine a given potential range, and then determine the reaction energy barriers of the HOR forward reaction and reverse reaction of the alloy catalyst within the given potential range;
步骤S637:基于给定电势范围内合金催化剂的HOR正反应和逆反应的反应能垒,确定给定电势范围内合金催化剂的动力学电流密度,进而得到合金催化剂的极化曲线(即合金催化剂的动力学电流密度随电势变化的曲线);Step S637: Based on the reaction energy barriers of the HOR forward reaction and reverse reaction of the alloy catalyst within a given potential range, determine the kinetic current density of the alloy catalyst within a given potential range, and then obtain the polarization curve of the alloy catalyst (that is, the kinetic energy of the alloy catalyst The curve of the current density versus the potential change);
进一步地,步骤S632包括:Further, step S632 includes:
步骤S6321:在第五模型的基础上,分别给第五模型中合金催化剂晶胞施加不同的电极电荷并引入相同电量的背景电荷保持晶胞的电中性得到施加了不同的电极电荷的第五模型;Step S6321: On the basis of the fifth model, respectively apply different electrode charges to the alloy catalyst unit cell in the fifth model and introduce background charges of the same amount to maintain the electrical neutrality of the unit cell to obtain the fifth model with different electrode charges applied. Model;
步骤S6322:分别对施加了不同的电极电荷的第五模型进行结构优化,得到不同电荷对应的第六模型;其中,当施加电荷为0时对应的第六模型即为第五模型;Step S6322: Structural optimization is performed on the fifth model with different electrode charges applied to obtain the sixth model corresponding to different charges; wherein, when the applied charge is 0, the corresponding sixth model is the fifth model;
更进一步地:步骤S6322包括:Further: Step S6322 includes:
针对施加了不同的电极电荷的第五模型,分别进行第一性原理分子动力学模拟(AIMD),筛选出若干反应物、中间体和产物相对稳定的模型,进而对筛选出的反应物、中间体和产物相对稳定的模型中的碱性水溶液层进行基于第一性原理计算的结构优化,筛选出能量最稳定的模型即第六模型;For the fifth model with different electrode charges applied, the first-principle molecular dynamics simulation (AIMD) was carried out to screen out several relatively stable models of reactants, intermediates and products, and then the screened reactants, intermediates The structure of the alkaline aqueous layer in the model with relatively stable body and product is optimized based on first-principle calculations, and the model with the most stable energy is selected, namely the sixth model;
进一步地:基于给定电势范围内合金催化剂的HOR正反应和逆反应的反应能垒,确定给定电势范围内合金催化剂的动力学电流密度通过下述公式进行:Further: based on the reaction energy barriers of the HOR forward reaction and reverse reaction of the alloy catalyst in a given potential range, the kinetic current density of the alloy catalyst in a given potential range is determined by the following formula:
其中,jkox为氧化动力学电流密度,mA/cm2;jkred为还原动力学电流密度,mA/cm2;A(U)为指前因(通常取值12.0-14.0),无量纲;R为气体常数(通常取8.3145),J/mol·K;T为温度,K;Ea ox(U)为U电势下合金催化剂的HOR正反应的反应能垒,eV;Ea red(U)为U电势下合金催化剂的HOR逆反应的反应能垒,eV;jk(U)为U电势下合金催化剂的动力学电流密度,mA/cm2;Among them, j kox is the oxidation kinetic current density, mA/cm 2 ; j kred is the reduction kinetic current density, mA/cm 2 ; A(U) is the exponent antecedent (usually 12.0-14.0), dimensionless; R is the gas constant (usually 8.3145), J/mol K; T is the temperature, K; E a ox (U) is the reaction energy barrier of the HOR forward reaction of the alloy catalyst at U potential, eV; E a red (U ) is the reaction energy barrier of the HOR reverse reaction of the alloy catalyst under the U potential, eV; j k (U) is the kinetic current density of the alloy catalyst under the U potential, mA/cm 2 ;
以NiM合金催化剂为例进行说明,采用双参考电极模型模拟催化剂/溶液界面,即:电极由第五模型模拟,利用合金催化剂晶胞所带的电荷模拟电极电荷q;通过引入相同电量的反电荷做背景电荷来保持晶胞的电中性;计算时,给合金催化剂模型施加一定数量的电荷q(即电极电荷),然后计算在该电荷下,合金催化剂上HOR正反应(即氧化)和逆反应(即还原)的反应能垒。改变施加的电荷量,计算不同施加电荷量q条件下的合金催化剂上HOR正反应(即氧化)和逆反应(即还原)的反应能垒值,从而得到HOR正反应能垒和逆反应能垒分别随电极电荷q变化的两条曲线;Taking the NiM alloy catalyst as an example, the catalyst/solution interface is simulated by the dual reference electrode model, that is, the electrode is simulated by the fifth model, and the electrode charge q is simulated by the charge carried by the alloy catalyst unit cell; Do the background charge to maintain the electrical neutrality of the unit cell; when calculating, apply a certain amount of charge q (ie, electrode charge) to the alloy catalyst model, and then calculate the HOR positive reaction (ie, oxidation) and reverse reaction on the alloy catalyst under this charge (i.e. reduction) reaction energy barrier. Change the amount of applied charge, and calculate the reaction energy barrier values of HOR forward reaction (ie, oxidation) and reverse reaction (ie, reduction) on the alloy catalyst under the condition of different applied charge amount q, so as to obtain the HOR forward reaction energy barrier and reverse reaction energy barrier respectively with Two curves of electrode charge q change;
电极电荷q与功函数W和电极电势U有关;施加一定量的电极电荷后,可计算在电荷q下合金催化剂模型的功函数W;然后根据公式U=W÷e-UNHE(W为功函数;UNHE为标准氢电极电势),计算得到给定电极电荷q下,合金催化剂模型上的电极电势U,从而将HOR正反应能垒和逆反应能垒分别随电极电荷q变化的两条曲线,转化为HOR正反应能垒和逆反应能垒分别随随电极电势U变化的曲线;The electrode charge q is related to the work function W and the electrode potential U; after a certain amount of electrode charge is applied, the work function W of the alloy catalyst model under the charge q can be calculated; then according to the formula U=W÷eU NHE (W is the work function; UNHE is the standard hydrogen electrode potential), and the electrode potential U on the alloy catalyst model is calculated under a given electrode charge q, so that the two curves of the HOR forward reaction energy barrier and reverse reaction energy barrier changing with the electrode charge q are converted into Curves of HOR forward reaction energy barrier and reverse reaction energy barrier changing with electrode potential U;
当HOR正反应能垒和逆反应能垒分别随随电极电势U变化的曲线交叉时,对应的电极电势是可逆电极电势即平衡电势。When the HOR forward reaction energy barrier and reverse reaction energy barrier cross the curves that vary with the electrode potential U, the corresponding electrode potential is the reversible electrode potential, that is, the equilibrium potential.
将电势控制在平衡电势附近区域,确定给定电极电势值下的HOR正反应能垒和逆反应能垒,进一步利用确定给定电极电势值下的HOR动力学电流密度;其中,jkox为氧化动力学电流密度;jkred为还原动力学电流密度;A(U)为指前因子;R为气体常数;T为温度;Ea ox(U)为U电势下合金催化剂的HOR正反应的反应能垒;Ea red(U)为U电势下合金催化剂的HOR逆反应的反应能垒;jk(U)为U电势下合金催化剂的动力学电流密度。Control the potential in the vicinity of the equilibrium potential, determine the HOR forward reaction energy barrier and reverse reaction energy barrier under a given electrode potential value, and further use Determine the HOR kinetic current density at a given electrode potential value; where j kox is the oxidation kinetic current density; j kred is the reduction kinetic current density; A(U) is the pre-exponential factor; R is the gas constant; T is temperature; E a ox (U) is the reaction energy barrier of the HOR forward reaction of the alloy catalyst at the U potential; E a red (U) is the reaction energy barrier of the HOR reverse reaction of the alloy catalyst at the U potential; j k (U) is the U Kinetic current density of alloy catalysts at electric potential.
在一些具体实施方式中,当该分析方法包括基于第五模型,进行合金催化剂的Tafel极化曲线确定时,H2电化学氧化性能评价步骤进一步包括基于合金催化剂的极化曲线,进行合金催化剂的交换电流密度分析;In some specific embodiments, when the analysis method includes determining the Tafel polarization curve of the alloy catalyst based on the fifth model, the step of evaluating the electrochemical oxidation performance of H further includes performing the determination of the alloy catalyst based on the polarization curve of the alloy catalyst. Exchange current density analysis;
其中,所述基于合金催化剂的极化曲线,进行合金催化剂的交换电流密度分析包括:Wherein, the exchange current density analysis of the alloy catalyst based on the polarization curve of the alloy catalyst includes:
步骤S641:基于合金催化剂的极化曲线,确定合金催化剂的交换电流密度;Step S641: Based on the polarization curve of the alloy catalyst, determine the exchange current density of the alloy catalyst;
进一步地,基于合金催化剂的极化曲线,确定合金催化剂的交换电流密度通过下述方式实现:利用Bulter-Volmer方程拟合极化曲线,拟合得到的系数即为合金催化剂的交换电流密度;具体而言,Bulter-Volmer方程为:Further, based on the polarization curve of the alloy catalyst, the exchange current density of the alloy catalyst is determined by the following method: the polarization curve is fitted using the Butter-Volmer equation, and the coefficient obtained by the fitting is the exchange current density of the alloy catalyst; specifically In terms of, the Butter-Volmer equation is:
其中,η=U-U0 Among them, η=UU 0
式中,jk为合金催化剂的动力学电流密度,mA/cm2;j0为合金催化剂的交换电流密度,mA/cm2;α为传递系数,无量纲;F为法拉第常数,C/mol;η为过电位,V;U为jk对应的电势,V;U0为平衡电势,V。In the formula, j k is the kinetic current density of the alloy catalyst, mA/cm 2 ; j 0 is the exchange current density of the alloy catalyst, mA/cm 2 ; α is the transfer coefficient, dimensionless; F is the Faraday constant, C/mol ; η is the overpotential, V; U is the potential corresponding to j k , V; U 0 is the equilibrium potential, V.
进一步地,所述基于合金催化剂的极化曲线,进行合金催化剂的交换电流密度分析进一步包括:Further, the analysis of the exchange current density of the alloy catalyst based on the polarization curve of the alloy catalyst further includes:
步骤S642:基于合金催化剂的交换电流密度,进行合金催化剂的HOR催化活性评价;Step S642: Based on the exchange current density of the alloy catalyst, evaluate the HOR catalytic activity of the alloy catalyst;
其中,H2电化学氧化的交换电流密度越大,表明合金催化剂催化活性越强,交换电流密度越小,表明合金催化剂催化活性越弱。Among them, the larger the exchange current density of H electrochemical oxidation, the stronger the catalytic activity of the alloy catalyst, and the smaller the exchange current density, the weaker the catalytic activity of the alloy catalyst.
在一些具体实施方式中,步骤S6进一步包括合金催化剂的形成能分析,具体包括:In some specific implementations, step S6 further includes the analysis of the formation energy of the alloy catalyst, specifically including:
步骤S651:基于第一模型,确定合金催化剂的形成能;Step S651: Based on the first model, determine the formation energy of the alloy catalyst;
其中,合金催化剂的形成能采用常规方式确定皆可,例如,合金催化剂的形成能可以利用合金催化剂的能量(利用第一模型确定)减去相应单质金属的能量的方式获得;Wherein, the formation energy of the alloy catalyst can be determined in a conventional manner, for example, the formation energy of the alloy catalyst can be obtained by subtracting the energy of the corresponding elemental metal from the energy of the alloy catalyst (determined by the first model);
以NiM合金催化剂为例进行说明,NiM合金催化剂的形成能可以由合金NiM的能量(利用第一模型确定)减去相应单质Ni和M的能量获得;Taking the NiM alloy catalyst as an example, the formation energy of the NiM alloy catalyst can be obtained by subtracting the energy of the corresponding elemental Ni and M from the energy of the alloy NiM (determined by the first model);
进一步地,合金催化剂的形成能分析进一步包括:Further, the formation energy analysis of the alloy catalyst further includes:
步骤S652:基于合金催化剂的形成能,确定合金催化剂的稳定性;Step S652: Based on the formation energy of the alloy catalyst, determine the stability of the alloy catalyst;
其中,合金催化剂的形成能可以表征相应金属形成合金的可行性,若计算的形成能为负值时可以形成合金催化剂,并且形成能越小表明合金催化剂结构越稳定;若计算的形成能为正值不能形成合金催化剂;Among them, the formation energy of the alloy catalyst can represent the feasibility of the corresponding metal to form an alloy. If the calculated formation energy is negative, the alloy catalyst can be formed, and the smaller the formation energy, the more stable the structure of the alloy catalyst; if the calculated formation energy is positive The value cannot form an alloy catalyst;
以NiM合金催化剂为例进行说明,NiM合金催化剂的形成能表征Ni和M形成合金的可行性;若NiM合金催化剂的形成能为负值时,Ni和M可以形成合金,且NiM合金催化剂的形成能越小则表明NiM合金催化剂结构越稳定;若NiM合金催化剂的形成能为正值时,则Ni和M两种金属会各自形成独立相,不能形成合金催化剂。Taking NiM alloy catalyst as an example, the formation of NiM alloy catalyst can represent the feasibility of Ni and M to form an alloy; if the formation energy of NiM alloy catalyst is negative, Ni and M can form alloy, and the formation of NiM alloy catalyst The smaller the energy, the more stable the structure of the NiM alloy catalyst is; if the formation energy of the NiM alloy catalyst is positive, the two metals, Ni and M, will form independent phases and cannot form an alloy catalyst.
在一些具体实施方式中,步骤S6进一步包括合金催化剂的反应能垒分析,具体包括:In some specific implementations, step S6 further includes analysis of the reaction energy barrier of the alloy catalyst, specifically including:
步骤S661:基于第五模型确定合金催化剂表面的H2电化学氧化反应最优反应路径;Step S661: Determine the optimal reaction path of H2 electrochemical oxidation reaction on the surface of the alloy catalyst based on the fifth model;
步骤S662:基于合金催化剂表面的H2电化学氧化反应最优反应路径以及第五模型,确定合金催化剂在HOR正反应的反应能垒;Step S662: Based on the optimal reaction path of the H2 electrochemical oxidation reaction on the surface of the alloy catalyst and the fifth model, determine the reaction energy barrier of the alloy catalyst in the HOR positive reaction;
其中,合金催化剂在HOR正反应的反应能垒确定采用常规方式确定皆可,例如,首先对第五模型上各基元反应的初态和末态进行几何结构优化,得到初态和末态的稳定结构;然后从反应初态和末态的稳定结构出发,通过线性同步跃迁/二次同步跃迁(LST/QST)方法搜索相应的过渡态,并通过频率计算验证过渡态的正确性;最后计算初态和末态之间的反应能以及初态和过渡态之间的反应能垒;根据反应能垒大小确定合金催化剂表面上的最优反应路径,并确定合金催化剂表面上反应过程中的速率控制步骤,合金催化剂表面上反应过程中的速率控制步骤对应的反应能垒即为合金催化剂在HOR正反应的反应能垒;Among them, the determination of the reaction energy barrier of the alloy catalyst in the HOR forward reaction can be determined in a conventional way. For example, firstly, the geometric structure of the initial state and the final state of each elementary reaction on the fifth model is optimized to obtain the initial state and the final state. Stable structure; then starting from the stable structure of the initial state and final state of the reaction, search for the corresponding transition state through the linear synchronous transition/quadratic synchronous transition (LST/QST) method, and verify the correctness of the transition state by frequency calculation; finally calculate The reaction energy between the initial state and the final state and the reaction energy barrier between the initial state and the transition state; determine the optimal reaction path on the surface of the alloy catalyst according to the size of the reaction energy barrier, and determine the rate of the reaction process on the surface of the alloy catalyst The control step, the reaction energy barrier corresponding to the rate control step in the reaction process on the surface of the alloy catalyst is the reaction energy barrier of the alloy catalyst in the positive reaction of HOR;
以NiM合金催化剂为例进行说明,碱性条件下,第五模型上的H2电化学氧化反应路径的计算涉及Tafel、Heyrovsky、Volmer三个基元反应的初态、末态和过渡态;首先对第五模型上各基元反应的初态和末态进行几何结构优化,得到初态和末态的稳定结构;然后从反应初态和末态的稳定结构出发,通过线性同步跃迁/二次同步跃迁(LST/QST)方法搜索相应的过渡态,并通过频率计算验证过渡态的正确性;最后计算初态和末态之间的反应能以及初态和过渡态之间的反应能垒;根据反应能垒大小确定NiM合金催化剂表面上的最优反应路径,并确定NiM合金催化剂表面上反应过程中的速率控制步骤,NiM合金催化剂表面上反应过程中的速率控制步骤对应的反应能垒即为NiM合金催化剂在HOR正反应的反应能垒;Taking the NiM alloy catalyst as an example, under alkaline conditions, the calculation of the H2 electrochemical oxidation reaction path on the fifth model involves the initial state, final state, and transition state of the three elementary reactions of Tafel, Heyrovsky, and Volmer; first The geometric structure optimization of the initial state and the final state of each elementary reaction on the fifth model is carried out to obtain the stable structure of the initial state and the final state; Synchronous transition (LST/QST) method searches for the corresponding transition state, and verifies the correctness of the transition state through frequency calculation; finally calculates the reaction energy between the initial state and the final state and the reaction energy barrier between the initial state and the transition state; Determine the optimal reaction path on the surface of the NiM alloy catalyst according to the size of the reaction energy barrier, and determine the rate control step in the reaction process on the surface of the NiM alloy catalyst. The reaction energy barrier corresponding to the rate control step in the reaction process on the surface of the NiM alloy catalyst is is the reaction energy barrier of the positive reaction of NiM alloy catalyst in HOR;
进一步地,合金催化剂的反应能垒分析进一步包括:Further, the reaction energy barrier analysis of the alloy catalyst further includes:
步骤S663:基于合金催化剂在HOR正反应的反应能垒,确定合金催化剂的催化活性;Step S663: Determine the catalytic activity of the alloy catalyst based on the reaction energy barrier of the alloy catalyst in the HOR positive reaction;
其中,合金催化剂在HOR正反应的反应能垒可以表征合金催化剂的催化活性,合金催化剂在HOR正反应的反应能垒越低,则合金催化剂的催化活性越强。Among them, the reaction energy barrier of the alloy catalyst in the forward reaction of HOR can characterize the catalytic activity of the alloy catalyst, the lower the reaction energy barrier of the alloy catalyst in the forward reaction of HOR, the stronger the catalytic activity of the alloy catalyst.
在一些具体实施方式中,步骤S1构建第一模型根据已有的合金结构数据进行;In some specific implementations, step S1 constructs the first model based on existing alloy structure data;
以NiM合金催化剂为例进行说明,根据已有的镍晶体结构数据,建立Ni晶胞模型;在Ni晶胞模型的基础上,将部分Ni原子按比例替换为非贵金属原子M,建立NiM合金晶胞模型;其中,根据已有的镍晶体结构数据,建立Ni晶胞模型可以利用Materials Studio软件包中的Visualizer模块进行;其中,在Ni晶胞模型的基础上,将部分Ni原子按比例替换为非贵金属原子M,建立NiM合金晶胞模型,可以将部分Ni原子按比例替换为非贵金属原子Cr、Mn、Fe、Co、Ni、Cu或Zn。Taking the NiM alloy catalyst as an example, a Ni unit cell model is established according to the existing nickel crystal structure data; Cell model; wherein, according to the existing nickel crystal structure data, the establishment of the Ni unit cell model can be carried out using the Visualizer module in the Materials Studio software package; wherein, on the basis of the Ni unit cell model, some Ni atoms are replaced in proportion to Non-noble metal atoms M, to establish a NiM alloy unit cell model, can replace some Ni atoms with non-noble metal atoms Cr, Mn, Fe, Co, Ni, Cu or Zn in proportion.
在一些具体实施方式中,步骤S2构建第二模型通过在合金晶胞模型基础上切出相应的合金表面的方式进行;In some specific embodiments, step S2 constructs the second model by cutting out the corresponding alloy surface on the basis of the alloy unit cell model;
以NiM合金催化剂为例进行说明,在NiM合金晶胞模型基础上切出相应的NiM表面,得到NiM合金催化剂表面模型。Taking the NiM alloy catalyst as an example to illustrate, the corresponding NiM surface is cut out on the basis of the NiM alloy unit cell model to obtain the NiM alloy catalyst surface model.
在一些具体实施方式中,步骤S3包括:In some specific implementation manners, step S3 includes:
步骤S31:在第二模型的基础上增设碱性水溶液模型,得到含有碱性水溶液层的合金催化剂表面初始模型;Step S31: adding an alkaline aqueous solution model on the basis of the second model to obtain an initial surface model of the alloy catalyst containing an alkaline aqueous solution layer;
步骤S32:对含有碱性水溶液层的合金催化剂表面初始模型进行第一性原理分子动力学模拟(AIMD),筛选出若干相对稳定的模型;Step S32: performing first-principles molecular dynamics simulation (AIMD) on the initial model of the surface of the alloy catalyst containing the alkaline aqueous solution layer, and screening out several relatively stable models;
步骤S33:对筛选出的相对稳定的模型中的碱性水溶液层进行基于第一性原理计算的结构优化,筛选出能量最稳定的模型,作为含有碱性水溶液层的合金催化剂表面模型即第三模型;Step S33: Perform structural optimization based on first-principles calculations on the alkaline aqueous solution layer in the selected relatively stable model, and select the model with the most stable energy as the surface model of the alloy catalyst containing the alkaline aqueous solution layer, that is, the third Model;
在该实施方式中,通过先第一性原理分子动力学模拟再第一性原理计算的方式对初始模型进行结构优化,精确度更高;In this embodiment, the structure optimization of the initial model is carried out by means of first-principles molecular dynamics simulation and then first-principles calculation, which has higher accuracy;
进一步地,步骤S31包括:Further, step S31 includes:
在在第二模型的合金表面上,设定真空层;在真空层中加入碱性水溶液模型,得到含有碱性水溶液层的合金催化剂表面初始模型;On the alloy surface of the second model, a vacuum layer is set; an alkaline aqueous solution model is added to the vacuum layer to obtain an initial model of the alloy catalyst surface containing an alkaline aqueous solution layer;
以NiM合金催化剂为例进行说明,在NiM合金催化剂表面模型的NiM表面上设定真空层;在真空层中靠近NiM表面的位置加入碱性水溶液模型,得到含有碱性水溶液层的NiM合金催化剂表面初始模型即第三模型;其中,设定的真空层高度可以为其中,碱性水溶液模型可以由水分子和K+、OH-离子组成。Taking the NiM alloy catalyst as an example, a vacuum layer is set on the NiM surface of the NiM alloy catalyst surface model; an alkaline aqueous solution model is added to a position close to the NiM surface in the vacuum layer to obtain a NiM alloy catalyst surface containing an alkaline aqueous solution layer The initial model is the third model; among them, the set vacuum layer height can be Among them, the alkaline aqueous solution model can be composed of water molecules and K + , OH - ions.
在一些具体实施方式中,步骤S4包括:In some specific implementation manners, step S4 includes:
步骤S41:对第四模型进行第一性原理分子动力学模拟(AIMD),筛选出若干反应物、中间体和产物相对稳定的模型;Step S41: Perform first-principles molecular dynamics simulation (AIMD) on the fourth model, and screen out a number of relatively stable models of reactants, intermediates and products;
步骤S42:对筛选出的反应物、中间体和产物相对稳定的模型中的碱性水溶液层进行基于第一性原理计算的结构优化,筛选出能量最稳定的模型,作为最优结构的含有反应物、中间体和产物的碱性水溶液/合金催化剂表面模型即第五模型;Step S42: Perform structural optimization based on first-principles calculations on the alkaline aqueous solution layer in the relatively stable model of reactants, intermediates and products screened out, and select the model with the most stable energy as the optimal structure containing reaction Alkaline aqueous solution/alloy catalyst surface model of substances, intermediates and products, namely the fifth model;
在该实施方式中,通过先第一性原理分子动力学模拟再第一性原理计算的方式对初始模型进行结构优化,精确度更高。In this embodiment, the structure optimization of the initial model is carried out by means of first-principle molecular dynamics simulation and then first-principle calculation, which has higher accuracy.
在一些具体实施方式中,基于第一性原理计算的结构优化的能量、位移和梯度收敛标准分别为5.442×10-4eV,和/> In some specific embodiments, the energy, displacement and gradient convergence criteria of the structure optimization based on the first-principles calculation are 5.442×10 -4 eV, respectively, and />
在一些具体实施方式中,基于第一性原理计算的结构优化过程中,采用自旋非限制性计算方法,计算采用广义梯度近似的PBE泛函,通过Grimme的PBE-D2方法计算长程色散力,金属原子的离子核采用密度泛函理论半核赝势描述,价电子函数采用双数值加极化(DNP)基组。In some specific embodiments, in the structural optimization process based on first-principles calculations, the spin-unrestricted calculation method is used to calculate the PBE functional approximated by the generalized gradient, and the long-range dispersion force is calculated by Grimme's PBE-D2 method, The ionic nuclei of metal atoms are described by density functional theory semi-nuclear pseudopotentials, and the valence electron functions are described by double numerical plus polarization (DNP) basis sets.
本发明实施例还提供了一种合金催化剂H2电化学氧化性能的分析系统,优选地,该系统用于实现上述的方法实施例。The embodiment of the present invention also provides an analysis system for the electrochemical oxidation performance of the alloy catalyst H2. Preferably, the system is used to realize the above-mentioned method embodiment.
该系统包括:The system includes:
第一模型构建模块:用于构建合金晶胞模型即第一模型;The first model building block: used to construct the alloy unit cell model, that is, the first model;
第二模型构建模块:用于基于第一模型建构建合金催化剂表面模型即第二模型;The second model building module: used to build the surface model of the alloy catalyst based on the first model, that is, the second model;
可选择地第三模型构建模块:用于基于第二模型构建含有碱性水溶液层的合金催化剂表面模型即第三模型;Optionally, the third model construction module: used to construct the surface model of the alloy catalyst containing the alkaline aqueous solution layer based on the second model, that is, the third model;
可选择地第四模型构建模块:用于在第三模型中含有碱性水溶液层的合金催化剂表面分别构建反应物、中间体和产物的结构模型,得到含有反应物、中间体和产物的碱性水溶液/合金催化剂的初始模型即第四模型;Optionally, the fourth model building block: used to construct the structure models of reactants, intermediates and products on the surface of the alloy catalyst containing the alkaline aqueous solution layer in the third model, and obtain the basic structure model containing reactants, intermediates and products. The initial model of the aqueous solution/alloy catalyst is the fourth model;
可选择地第五模型构建模块:用于对第四模型进行结构优化,得到最优结构的含有反应物、中间体和产物的碱性水溶液/合金催化剂表面模型即第五模型;Optionally, the fifth model building block: used to optimize the structure of the fourth model to obtain an alkaline aqueous solution/alloy catalyst surface model containing reactants, intermediates and products, that is, the fifth model;
H2电化学氧化性能评价模块:包括氧化势分析子模块、H吸附自由能分析子模块、和/或、极化曲线确定子模块;其中, H2 electrochemical oxidation performance evaluation module: including oxidation potential analysis submodule, H adsorption free energy analysis submodule, and/or, polarization curve determination submodule; wherein,
氧化势分析子模块用于基于第二模型,进行合金催化剂的氧化势分析;The oxidation potential analysis sub-module is used to analyze the oxidation potential of the alloy catalyst based on the second model;
H吸附自由能分析子模块用于基于第二模型或第三模型,进行合金催化剂的H吸附自由能分析;The H adsorption free energy analysis submodule is used to analyze the H adsorption free energy of the alloy catalyst based on the second model or the third model;
极化曲线确定子模块用于基于第五模型,进行合金催化剂的Tafel极化曲线确定。The polarization curve determination sub-module is used to determine the Tafel polarization curve of the alloy catalyst based on the fifth model.
在一些具体实施例中,氧化势分析子模块包括:In some specific embodiments, the oxidation potential analysis submodule includes:
第一能量确定单元:用于获取第二模型的能量;The first energy determination unit: used to obtain the energy of the second model;
第二能量确定单元:用于获取合金催化剂去除发生氧化的金属原子后的能量;The second energy determination unit: used to obtain the energy of the alloy catalyst after removing the oxidized metal atoms;
第三能量确定单元:用于获取合金催化剂中发生氧化的金属原子在处于单质状态时的能量;The third energy determination unit: used to obtain the energy of the oxidized metal atoms in the alloy catalyst when they are in a simple state;
标准氧化势确定单元:用于获取合金催化剂中发生氧化的金属在处于单质状态时的标准氧化势;Standard oxidation potential determination unit: used to obtain the standard oxidation potential of the oxidized metal in the alloy catalyst when it is in a simple state;
氧化势确定单元:用于基于第二模型的能量、合金催化剂去除发生氧化的金属原子后的能量、合金催化剂中发生氧化的金属原子在处于单质状态时的能量、获取合金催化剂中发生氧化的金属在处于单质状态时的标准氧化势,确定合金催化剂的氧化势(即合金被氧化成金属氧化物或金属氢氧化物时所需要外加的电势);Oxidation potential determination unit: used for energy based on the second model, the energy of the alloy catalyst after removing the oxidized metal atoms, the energy of the oxidized metal atoms in the alloy catalyst when they are in a simple state, and the acquisition of the oxidized metal in the alloy catalyst The standard oxidation potential in the elemental state determines the oxidation potential of the alloy catalyst (that is, the external potential required when the alloy is oxidized to a metal oxide or metal hydroxide);
进一步地,氧化势分析子模块进一步包括:Further, the oxidation potential analysis submodule further includes:
抗氧化性能评价单元:用于基于合金催化剂的氧化势,进行合金催化剂抗氧化性能评价;Anti-oxidation performance evaluation unit: used to evaluate the oxidation resistance performance of alloy catalysts based on the oxidation potential of alloy catalysts;
进一步地,确定合金催化剂的氧化势优选通过下述公式进行:Further, determining the oxidation potential of the alloy catalyst is preferably carried out by the following formula:
Uox=Uox(met1,bulk)-(E(AxBy)-E(AxBy-z)-z·E(B))÷nU ox =U ox (met1,bulk)-(E(A x B y )-E(A x B yz )-z·E(B))÷n
式中,Uox为合金催化剂的氧化势,V;Uox(met1,bulk)为合金催化剂中发生氧化的金属B在处于单质状态时的标准氧化势,V;E(AxBy)为第二模型的能量,eV;E(AxBy-z)为合金催化剂去除发生氧化的z个金属B原子后的能量,eV;E(B)为合金催化剂中发生氧化的金属B原子在处于单质状态时的能量,eV;n为合金催化剂发生氧化时转移的电子e的数目,个。In the formula, U ox is the oxidation potential of the alloy catalyst, V; U ox (met1,bulk) is the standard oxidation potential of the oxidized metal B in the alloy catalyst in a simple state, V; E(A x B y ) is The energy of the second model, eV; E(A x Byz ) is the energy of the alloy catalyst after removing the oxidized z metal B atoms, eV; E(B) is the oxidized metal B atoms in the alloy catalyst in the single substance The energy in the state, eV; n is the number of electrons e transferred when the alloy catalyst is oxidized, number.
在一些具体实施例中,H吸附自由能分析子模块包括:In some specific embodiments, the H adsorption free energy analysis submodule includes:
H吸附自由能确定单元:用于基于第二模型或第三模型确定合金催化剂的H吸附自由能;H adsorption free energy determination unit: for determining the H adsorption free energy of the alloy catalyst based on the second model or the third model;
第一催化活性确定单元:用于基于合金催化剂的H吸附自由能,进行合金催化剂的HOR催化活性评价;其中,合金催化剂的H吸附自由能越接近0.414eV,合金催化剂的HOR催化活性越强。The first catalytic activity determining unit: used for evaluating the HOR catalytic activity of the alloy catalyst based on the H adsorption free energy of the alloy catalyst; wherein, the closer the H adsorption free energy of the alloy catalyst is to 0.414eV, the stronger the HOR catalytic activity of the alloy catalyst.
在一些具体实施例中,极化曲线确定子模块包括:In some specific embodiments, the polarization curve determination submodule includes:
最优反应路径确定单元:用于基于第五模型确定合金催化剂表面的H2电化学氧化反应最优反应路径;Optimal reaction path determination unit: used to determine the optimal reaction path of the H2 electrochemical oxidation reaction on the surface of the alloy catalyst based on the fifth model;
第六模型确定单元:用于在第五模型的基础上,分别给第五模型中合金催化剂晶胞施加不同的电极电荷并引入相同电量的背景电荷保持晶胞的电中性,从而得到不同电荷对应的第六模型;其中,当施加电荷为0时对应的第六模型即为第五模型;The sixth model determination unit: on the basis of the fifth model, it is used to apply different electrode charges to the alloy catalyst unit cell in the fifth model and introduce the background charge of the same amount to maintain the electrical neutrality of the unit cell, thereby obtaining different charges The corresponding sixth model; wherein, when the applied charge is 0, the corresponding sixth model is the fifth model;
不同电荷下正逆反应的反应能垒确定单元:用于基于合金催化剂表面的H2电化学氧化反应最优反应路径以及不同施加电荷对应的第六模型,确定合金催化剂在不同施加电荷条件下的HOR正反应和逆反应的反应能垒;Reaction energy barrier determination unit for forward and reverse reactions under different charges: for the optimal reaction path of H2 electrochemical oxidation reaction based on the surface of the alloy catalyst and the sixth model corresponding to different applied charges, to determine the HOR of the alloy catalyst under different applied charges Reaction barriers for forward and reverse reactions;
不同电势下正逆反应的反应能垒确定单元:用于基于合金催化剂在不同施加电荷条件下的HOR正反应和逆反应的反应能垒,确定合金催化剂在不同电极电势下的HOR正反应和逆反应的反应能垒;Reaction barrier determination unit for forward and reverse reactions at different potentials: used to determine the HOR forward and reverse reactions of alloy catalysts at different electrode potentials based on the reaction energy barriers of the forward and reverse HOR reactions of the alloy catalyst under different applied charge conditions Energy barrier;
平衡电势确定单元:用于基于合金催化剂在不同电极电势下的HOR正反应和逆反应的反应能垒,确定合金催化剂的平衡电势;Equilibrium potential determination unit: used to determine the equilibrium potential of the alloy catalyst based on the reaction energy barriers of the HOR forward reaction and reverse reaction of the alloy catalyst at different electrode potentials;
极化曲线确定单元:用于基于合金催化剂的平衡电势,确定给定电势范围,进而确定给定电势范围内合金催化剂的HOR正反应和逆反应的反应能垒;基于给定电势范围内合金催化剂的HOR正反应和逆反应的反应能垒,确定给定电势范围内合金催化剂的动力学电流密度,进而得到合金催化剂的极化曲线(即合金催化剂的动力学电流密度随电势变化的曲线);Polarization curve determination unit: used to determine the given potential range based on the equilibrium potential of the alloy catalyst, and then determine the reaction energy barriers of the HOR forward and reverse reactions of the alloy catalyst within the given potential range; based on the alloy catalyst within the given potential range The reaction energy barrier of HOR forward reaction and reverse reaction, determine the kinetic current density of the alloy catalyst within a given potential range, and then obtain the polarization curve of the alloy catalyst (that is, the curve of the kinetic current density of the alloy catalyst changing with the potential);
进一步地,第六模型确定单元包括:Further, the sixth model determination unit includes:
电荷施加子单元:用于在第五模型的基础上,分别给第五模型中合金催化剂晶胞施加不同的电极电荷并引入相同电量的背景电荷保持晶胞的电中性得到施加了不同的电极电荷的第五模型;Charge applying subunit: on the basis of the fifth model, it is used to apply different electrode charges to the alloy catalyst unit cell in the fifth model and introduce the same amount of background charge to maintain the electrical neutrality of the unit cell to obtain different electrodes fifth model of charge;
第六模型确定子单元:用于分别对施加了不同的电极电荷的第五模型进行结构优化,得到不同电荷对应的第六模型;The sixth model determination subunit: used to optimize the structure of the fifth model with different electrode charges applied to obtain the sixth model corresponding to different charges;
进一步地,第六模型确定子单元包括:Further, the sixth model determination subunit includes:
第一优化组:用于针对施加了不同的电极电荷的第五模型,分别进行第一性原理分子动力学模拟(AIMD),筛选出若干反应物、中间体和产物相对稳定的模型;The first optimization group: for the fifth model with different electrode charges applied, perform first-principles molecular dynamics simulation (AIMD) respectively, and screen out several relatively stable models of reactants, intermediates and products;
第二优化组:用于对筛选出的反应物、中间体和产物相对稳定的模型中的碱性水溶液层进行基于第一性原理计算的结构优化,筛选出能量最稳定的模型即第六模型;The second optimization group: used to perform structural optimization based on first-principle calculations on the alkaline aqueous solution layer in the relatively stable model of the screened reactants, intermediates and products, and screen out the model with the most stable energy, namely the sixth model ;
进一步地,所述基于给定电势范围内合金催化剂的HOR正反应和逆反应的反应能垒,确定给定电势范围内合金催化剂的动力学电流密度通过下述公式进行:Further, based on the reaction energy barrier of the HOR forward reaction and reverse reaction of the alloy catalyst within a given potential range, determining the kinetic current density of the alloy catalyst within a given potential range is performed by the following formula:
其中,jkox为氧化动力学电流密度,mA/cm2;jkred为还原动力学电流密度,mA/cm2;A(U)为指前因(通常取值12.0-14.0),无量纲;R为气体常数(通常取8.3145),J/mol·K;T为温度,K;Ea ox(U)为U电势下合金催化剂的HOR正反应的反应能垒,eV;Ea red(U)为U电势下合金催化剂的HOR逆反应的反应能垒,eV;jk(U)为U电势下合金催化剂的动力学电流密度,mA/cm2。Among them, j kox is the oxidation kinetic current density, mA/cm 2 ; j kred is the reduction kinetic current density, mA/cm 2 ; A(U) is the exponent antecedent (usually 12.0-14.0), dimensionless; R is the gas constant (usually 8.3145), J/mol K; T is the temperature, K; E a ox (U) is the reaction energy barrier of the HOR forward reaction of the alloy catalyst at U potential, eV; E a red (U ) is the reaction energy barrier of the HOR reverse reaction of the alloy catalyst at U potential, eV; j k (U) is the kinetic current density of the alloy catalyst at U potential, mA/cm 2 .
在一些具体实施例中,当H2电化学氧化性能评价模块包括极化曲线确定子模块时,H2电化学氧化性能评价模块进一步包括:In some specific embodiments, when the H2 electrochemical oxidation performance evaluation module includes a polarization curve determination submodule, the H2 electrochemical oxidation performance evaluation module further includes:
交换电流密度分析子模块:用于基于合金催化剂的极化曲线,进行合金催化剂的交换电流密度分析;Exchange current density analysis sub-module: used to analyze the exchange current density of the alloy catalyst based on the polarization curve of the alloy catalyst;
其中,交换电流密度分析子模块包括:Among them, the exchange current density analysis sub-module includes:
交换电流密度确定单元:用于基于合金催化剂的极化曲线,确定合金催化剂的交换电流密度;Exchange current density determination unit: used to determine the exchange current density of the alloy catalyst based on the polarization curve of the alloy catalyst;
进一步地,交换电流密度分析子模块进一步包括:Further, the exchange current density analysis submodule further includes:
第二催化活性评价单元:用于基于合金催化剂的交换电流密度,进行合金催化剂的HOR催化活性评价;The second catalytic activity evaluation unit: used for evaluating the HOR catalytic activity of the alloy catalyst based on the exchange current density of the alloy catalyst;
进一步地,基于合金催化剂的极化曲线,确定合金催化剂的交换电流密度通过下述方式实现:利用Bulter-Volmer方程拟合极化曲线,拟合得到的系数即为合金催化剂的交换电流密度;具体而言,Bulter-Volmer方程为:Further, based on the polarization curve of the alloy catalyst, the exchange current density of the alloy catalyst is determined by the following method: the polarization curve is fitted using the Butter-Volmer equation, and the coefficient obtained by the fitting is the exchange current density of the alloy catalyst; specifically In terms of, the Butter-Volmer equation is:
其中,η=U-U0 Among them, η=UU 0
式中,jk为合金催化剂的动力学电流密度,mA/cm2;j0为合金催化剂的交换电流密度,mA/cm2;α为传递系数,无量纲;F为法拉第常数,C/mol;η为过电位,V;U为jk对应的电势,V;U0为平衡电势,V。In the formula, j k is the kinetic current density of the alloy catalyst, mA/cm 2 ; j 0 is the exchange current density of the alloy catalyst, mA/cm 2 ; α is the transfer coefficient, dimensionless; F is the Faraday constant, C/mol ; η is the overpotential, V; U is the potential corresponding to j k , V; U 0 is the equilibrium potential, V.
在一些具体实施例中,H2电化学氧化性能评价模块进一步包括:In some specific embodiments, the H2 electrochemical oxidation performance evaluation module further includes:
形成能分析子模块:用于基于第一模型,进行合金催化剂的形成能分析;Formation energy analysis sub-module: used to analyze the formation energy of alloy catalysts based on the first model;
进一步地,形成能分析子模块包括:Further, the formation energy analysis sub-module includes:
形成能确定单元:用于基于第一模型,确定合金催化剂的形成能;Formation energy determination unit: used to determine the formation energy of the alloy catalyst based on the first model;
稳定性评价单元:用于基于合金催化剂的形成能,确定合金催化剂的稳定性。Stability evaluation unit: used to determine the stability of the alloy catalyst based on the formation energy of the alloy catalyst.
在一些具体实施例中,H2电化学氧化性能评价模块进一步包括:In some specific embodiments, the H2 electrochemical oxidation performance evaluation module further includes:
反应能垒分析子模块:用于基于第五模型,进行合金催化剂的反应能垒分析;Reaction energy barrier analysis sub-module: used to analyze the reaction energy barrier of alloy catalysts based on the fifth model;
进一步地,反应能垒分析子模块包括:Further, the reaction energy barrier analysis submodule includes:
最优反应路径确定单元:用于基于第五模型确定合金催化剂表面的H2电化学氧化反应最优反应路径;Optimal reaction path determination unit: used to determine the optimal reaction path of the H2 electrochemical oxidation reaction on the surface of the alloy catalyst based on the fifth model;
反应能垒确定单元:用于基于合金催化剂表面的H2电化学氧化反应最优反应路径以及第五模型,确定合金催化剂在HOR正反应的反应能垒;Reaction energy barrier determination unit: used to determine the reaction energy barrier of the alloy catalyst in the HOR forward reaction based on the optimal reaction path of the electrochemical oxidation reaction of H2 on the surface of the alloy catalyst and the fifth model;
第三催化活性分析单元:用于基于合金催化剂的反应能垒,确定合金催化剂的催化活性。The third catalytic activity analysis unit: used to determine the catalytic activity of the alloy catalyst based on the reaction energy barrier of the alloy catalyst.
在一些具体实施例中,第三模型构建模块包括:In some specific embodiments, the third model building block includes:
初始模型构建子模块:用于在第二模型的基础上增设碱性水溶液模型,得到含有碱性水溶液层的合金催化剂表面初始模型;Initial model construction sub-module: used to add an alkaline aqueous solution model on the basis of the second model to obtain an initial model of the surface of the alloy catalyst containing an alkaline aqueous solution layer;
第一模型优化子模块:用于对含有碱性水溶液层的合金催化剂表面初始模型进行第一性原理分子动力学模拟(AIMD),筛选出若干相对稳定的模型;The first model optimization sub-module: used to perform first-principles molecular dynamics simulation (AIMD) on the initial model of the alloy catalyst surface containing an alkaline aqueous solution layer, and screen out several relatively stable models;
第二模型优化子模块:用于对筛选出的相对稳定的模型中的碱性水溶液层进行基于第一性原理计算的结构优化,筛选出能量最稳定的模型,作为含有碱性水溶液层的合金催化剂表面模型即第三模型。The second model optimization sub-module: it is used to perform structural optimization based on first-principle calculations on the alkaline aqueous solution layer in the screened relatively stable model, and select the model with the most stable energy as an alloy containing an alkaline aqueous solution layer The catalyst surface model is the third model.
在一些具体实施例中,第四模型构建模块包括:In some specific embodiments, the fourth model building block includes:
第三模型优化子模块:用于对第四模型进行第一性原理分子动力学模拟(AIMD),筛选出若干反应物、中间体和产物相对稳定的模型;The third model optimization sub-module: used to perform first-principles molecular dynamics simulation (AIMD) on the fourth model, and screen out several relatively stable models of reactants, intermediates and products;
第四模型优化子模块:用于对筛选出的反应物、中间体和产物相对稳定的模型中的碱性水溶液层进行基于第一性原理计算的结构优化,筛选出能量最稳定的模型,作为最优结构的含有反应物、中间体和产物的碱性水溶液/合金催化剂表面模型即第五模型。The fourth model optimization sub-module: it is used to perform structural optimization based on first-principle calculations on the alkaline aqueous solution layer in the relatively stable model of the screened reactants, intermediates and products, and select the model with the most stable energy as The surface model of alkaline aqueous solution/alloy catalyst containing reactants, intermediates and products with optimal structure is the fifth model.
在一些具体实施例中,基于第一性原理计算的结构优化的能量、位移和梯度收敛标准分别为5.442×10-4eV,和/> In some specific embodiments, the energy, displacement and gradient convergence criteria of structure optimization based on first-principles calculations are 5.442×10 -4 eV, respectively, and />
在一些具体实施例中,所述合金为镍基非贵金属合金;In some embodiments, the alloy is a nickel-based non-noble metal alloy;
进一步地,所述非贵金属包括Cr、Mn、Fe、Co、Ni、Cu和Zn等中的一种或两种以上的组合。Further, the non-noble metal includes one or a combination of two or more of Cr, Mn, Fe, Co, Ni, Cu and Zn.
实施例1Example 1
本实施例提供了一种NiCr合金催化剂H2电化学氧化性能的评价方法,The present embodiment provides a kind of NiCr alloy catalyst H The evaluation method of electrochemical oxidation performance,
如图1所示,该方法包括:As shown in Figure 1, the method includes:
步骤1、模型构建,包括:
步骤1.1、Ni晶胞模型建立:根据晶格参数为的镍晶体结构,利用MaterialsStudio软件包中的Visualizer模块建立4×4的Ni晶胞模型。Step 1.1, Ni unit cell model establishment: according to the lattice parameter is The Ni crystal structure of Ni, using the Visualizer module in the MaterialsStudio software package to establish a 4 × 4 Ni unit cell model.
步骤1.2、NiCr合金晶胞模型建立:在4×4的Ni晶胞模型基础上,按照Ni/Cr原子比3:1、2:2、1:3的比例,将部分Ni原子均匀替换为Cr原子,建立Ni3Cr、Ni2Cr2、NiCr3合金晶胞模型,即Ni3Cr、Ni2Cr2、NiCr3合金催化剂的第一模型;Ni3Cr、Ni2Cr2、NiCr3合金晶胞模型参数如表1所示;Step 1.2, NiCr alloy unit cell model establishment: on the basis of the 4×4 Ni unit cell model, according to the Ni/Cr atomic ratio of 3:1, 2:2, 1:3, evenly replace part of Ni atoms with Cr Atoms, to establish Ni 3 Cr, Ni 2 Cr 2 , NiCr 3 alloy unit cell model, that is, the first model of Ni 3 Cr, Ni 2 Cr 2 , NiCr 3 alloy catalyst; Ni 3 Cr, Ni 2 Cr 2 , NiCr 3 alloy The parameters of the unit cell model are shown in Table 1;
表1 NiCr合金晶格参数Table 1 Lattice parameters of NiCr alloy
步骤1.2、NiCr合金催化剂表面模型构建:在Ni3Cr、Ni2Cr2、NiCr3合金晶胞模型的基础上,切出Ni3Cr(111)、Ni2Cr2(111)、NiCr3(111)表面,得到Ni3Cr、Ni2Cr和NiCr3合金催化剂表面模型,即Ni3Cr、Ni2Cr2、NiCr3合金催化剂的第二模型,其中合金厚度为4层,并设定高度为真空层,相应的结构如图2A-图2C所示。Step 1.2, NiCr alloy catalyst surface model construction: on the basis of Ni 3 Cr, Ni 2 Cr 2 , NiCr 3 alloy unit cell models, Ni 3 Cr(111), Ni 2 Cr 2 (111), NiCr 3 ( 111) Surface, obtain the surface model of Ni 3 Cr, Ni 2 Cr and NiCr 3 alloy catalyst, that is, the second model of Ni 3 Cr, Ni 2 Cr 2 and NiCr 3 alloy catalyst, wherein the thickness of the alloy is 4 layers, and the height is set for The vacuum layer, the corresponding structure is shown in Figure 2A-Figure 2C.
步骤1.3、含有碱性水溶液层的NiCr合金催化剂表面模型构建:在真空层中靠近合金催化剂表面的附近,加入13个水分子和2个K+/OH-离子建立碱性溶液层模型,得到含有碱性水溶液层的Ni3Cr、Ni2Cr、NiCr3合金催化剂表面模型,即Ni3Cr、Ni2Cr2、NiCr3合金催化剂的第三模型,结果如图3A-图3C所示。Step 1.3, construction of the surface model of the NiCr alloy catalyst containing the alkaline aqueous solution layer: in the vicinity of the surface of the alloy catalyst in the vacuum layer, 13 water molecules and 2 K + /OH - ions were added to establish the alkaline solution layer model, and the model containing The surface model of the Ni 3 Cr, Ni 2 Cr, NiCr 3 alloy catalyst in the alkaline aqueous solution layer, that is, the third model of the Ni 3 Cr, Ni 2 Cr 2 , NiCr 3 alloy catalyst, the results are shown in Figure 3A-Figure 3C.
步骤1.4、第四模型构建:在含有碱性水溶液层的Ni3Cr、Ni2Cr2、NiCr3合金催化剂表面模型的Ni3Cr(111)、Ni2Cr2(111)、NiCr3(111)表面上进一步分别构建反应物、中间体和产物的结构模型,得到含有反应物、中间体和产物的碱性水溶液/Ni3Cr合金催化剂的初始模型和含有反应物、中间体和产物的碱性水溶液/Ni2Cr2合金催化剂的初始模型和含有反应物、中间体和产物的碱性水溶液/NiCr3合金催化剂的初始模型,即Ni3Cr、Ni2Cr2、NiCr3合金催化剂的第四模型。Step 1.4, the fourth model construction: Ni 3 Cr (111 ) , Ni 2 Cr 2 (111), NiCr 3 ( 111 ) on the surface to further construct the structure models of reactants, intermediates and products, and obtain the initial model of alkaline aqueous solution/Ni 3 Cr alloy catalyst containing reactants, intermediates and products and the base model containing reactants, intermediates and products The initial model of alkaline aqueous solution/Ni 2 Cr 2 alloy catalyst and the initial model of alkaline aqueous solution/NiCr 3 alloy catalyst containing reactants, intermediates and products, that is, the first model of Ni 3 Cr, Ni 2 Cr 2 , NiCr 3 alloy catalyst Four models.
步骤1.5、第五模型构建:对第四模型进行结构优化,得到最优结构的含有反应物、中间体和产物的碱性水溶液/合金催化剂表面模型即第五模型;Step 1.5, construction of the fifth model: optimize the structure of the fourth model to obtain the surface model of the alkaline aqueous solution/alloy catalyst containing reactants, intermediates and products with the optimal structure, that is, the fifth model;
具体而言,对Ni3Cr合金催化剂的第四模型进行第一性原理分子动力学模拟(AIMD),筛选出若干反应物、中间体和产物相对稳定的模型;利用第一性原理密度泛函理论对筛选出的模型的Ni3Cr(111)表面上三个基元反应过程中的反应物、中间体和产物进行结构优化和计算,筛选出能量最稳定的模型,作为最优结构的含有反应物、中间体和产物的碱性水溶液/Ni3Cr合金催化剂表面模型即Ni3Cr合金催化剂的第五模型;Specifically, first-principles molecular dynamics simulation (AIMD) was carried out on the fourth model of Ni 3 Cr alloy catalyst, and several relatively stable models of reactants, intermediates and products were screened out; using first-principles density functional Theory optimizes and calculates the structure of the reactants, intermediates and products in the process of the three elementary reactions on the Ni 3 Cr(111) surface of the screened model, and screens out the model with the most stable energy as the optimal structure containing The alkaline aqueous solution/Ni 3 Cr alloy catalyst surface model of reactants, intermediates and products is the fifth model of Ni 3 Cr alloy catalyst;
对Ni2Cr2合金催化剂的第四模型进行第一性原理分子动力学模拟(AIMD),筛选出若干反应物、中间体和产物相对稳定的模型;利用第一性原理密度泛函理论对筛选出的模型的Ni2Cr2(111)表面上三个基元反应过程中的反应物、中间体和产物进行结构优化和计算,筛选出能量最稳定的模型,作为最优结构的含有反应物、中间体和产物的碱性水溶液/Ni2Cr2合金催化剂表面模型即Ni2Cr2合金催化剂的第五模型;First-principles molecular dynamics simulation (AIMD) was carried out on the fourth model of Ni 2 Cr 2 alloy catalyst, and several relatively stable models of reactants, intermediates and products were screened out; the first-principle density functional theory was used to screen The structure optimization and calculation of the reactants, intermediates and products in the three elementary reaction processes on the Ni 2 Cr 2 (111) surface of the model were carried out, and the model with the most stable energy was screened out as the optimal structure containing reactants , intermediate and product alkaline aqueous solution/Ni 2 Cr 2 alloy catalyst surface model is the fifth model of Ni 2 Cr 2 alloy catalyst;
对NiCr3合金催化剂的第四模型进行第一性原理分子动力学模拟(AIMD),筛选出若干反应物、中间体和产物相对稳定的模型;利用第一性原理密度泛函理论对筛选出的模型的NiCr3(111)表面上三个基元反应过程中的反应物、中间体和产物进行结构优化和计算,筛选出能量最稳定的模型,作为最优结构的含有反应物、中间体和产物的碱性水溶液/NiCr3合金催化剂表面模型即NiCr3合金催化剂的第五模型;First-principles molecular dynamics simulation (AIMD) was carried out on the fourth model of NiCr 3 alloy catalyst, and several relatively stable models of reactants, intermediates and products were screened out; The structure optimization and calculation of the reactants, intermediates and products in the process of the three elementary reactions on the NiCr 3 (111) surface of the model were carried out, and the model with the most stable energy was screened out. As the optimal structure containing the reactants, intermediates and The alkaline aqueous solution/NiCr 3 alloy catalyst surface model of product is the fifth model of NiCr 3 alloy catalyst;
其中,结构优化采用自旋非限制性计算,计算采用广义梯度近似的PBE泛函。通过Grimme的PBE-D2方法计算长程色散力,金属原子的离子核采用密度泛函理论半核赝势描述,价电子函数采用双数值加极化(DNP)基组;结构优化中的能量、位移和梯度收敛标准分别为5.442×10-4eV,和/> Among them, the structure optimization adopts the spin-unrestricted calculation, and the calculation adopts the PBE functional approximated by the generalized gradient. The long-range dispersion force is calculated by Grimme's PBE-D2 method. The ion nucleus of the metal atom is described by the semi-nuclear pseudopotential of the density functional theory, and the valence electron function is described by the double numerical plus polarization (DNP) basis set; the energy and displacement in the structure optimization and gradient convergence criteria are 5.442× 10-4 eV, respectively, and />
步骤2、H2电化学氧化性能评价参数获取,包括:
步骤2.1、确定合金催化剂的形成能:基于Ni3Cr合金晶胞模型确定Ni3Cr合金的能量,进而减去单质Ni和Cr的能量,得到Ni3Cr合金化剂的形成能;基于Ni2Cr2合金晶胞模型确定Ni2Cr2合金的能量,进而减去单质Ni和Cr的能量,得到Ni3Cr合金化剂的形成能;基于NiCr3合金晶胞模型确定NiCr3合金的能量,进而减去单质Ni和Cr的能量,得到Ni3Cr合金化剂的形成能;确定得到Ni3Cr、Ni2Cr2、NiCr3合金催化剂的形成能分别为-2.76eV、-2.53eV、-2.34eV。Step 2.1. Determine the formation energy of the alloy catalyst: determine the energy of the Ni 3 Cr alloy based on the Ni 3 Cr alloy unit cell model, and then subtract the energy of elemental Ni and Cr to obtain the formation energy of the Ni 3 Cr alloying agent; based on the Ni 2 The Cr 2 alloy unit cell model determines the energy of the Ni 2 Cr 2 alloy, and then subtracts the energy of the elemental Ni and Cr to obtain the formation energy of the Ni 3 Cr alloying agent; based on the NiCr 3 alloy unit cell model, the energy of the NiCr 3 alloy is determined, Further subtracting the energy of elemental Ni and Cr, the formation energy of Ni 3 Cr alloying agent was obtained; the formation energy of Ni 3 Cr, Ni 2 Cr 2 and NiCr 3 alloy catalysts were determined to be -2.76eV, -2.53eV, - 2.34eV.
步骤2.2、确定合金催化剂的氧化势:Step 2.2, determine the oxidation potential of the alloy catalyst:
当Ni3Cr(111)、Ni2Cr2(111)和NiCr3(111)中Ni被氧化成Ni(OH)2时,分别获取Ni3Cr、Ni2Cr2(和NiCr3合金催化剂表面模型的能量;分别获取Ni3Cr、Ni2Cr2、NiCr3合金催化剂去除发生氧化的Ni金属原子后的能量;获取Ni金属原子在处于单质状态时的能量;获取Ni金属在处于单质状态时的标准氧化势;进而通过下述公式,确定Ni3Cr(111)、Ni2Cr2(111)和NiCr3(111)中Ni被氧化成Ni(OH)2时的氧化势:When Ni in Ni 3 Cr(111), Ni 2 Cr 2 (111) and NiCr 3 (111) is oxidized to Ni(OH) 2 , the surface of Ni 3 Cr, Ni 2 Cr 2 (and NiCr 3 alloy catalyst The energy of the model; obtain the energy of Ni 3 Cr, Ni 2 Cr 2 , and NiCr 3 alloy catalysts after removing the oxidized Ni metal atoms; obtain the energy of Ni metal atoms in the simple state; obtain the Ni metal in the simple state The standard oxidation potential; and then by the following formula, determine the oxidation potential when Ni in Ni 3 Cr (111), Ni 2 Cr 2 (111) and NiCr 3 (111) is oxidized to Ni(OH) 2 :
Uox=Uox(met1,bulk)-(E(AxBy)-E(AxBy-z)-z·E(B))÷nU ox =U ox (met1,bulk)-(E(A x B y )-E(A x B yz )-z·E(B))÷n
式中,Uox为合金催化剂的氧化势,V;Uox(met1,bulk)为合金催化剂中发生氧化的金属B在处于单质状态时的标准氧化势,V;E(AxBy)为第二模型的能量,eV;E(AxBy-z)为合金催化剂去除发生氧化的z个金属B原子后的能量,eV;E(B)为合金催化剂中发生氧化的金属B原子在处于单质状态时的能量,eV;n为合金催化剂发生氧化时转移的电子e的数目,个;In the formula, U ox is the oxidation potential of the alloy catalyst, V; U ox (met1,bulk) is the standard oxidation potential of the oxidized metal B in the alloy catalyst in a simple state, V; E(A x B y ) is The energy of the second model, eV; E(A x Byz ) is the energy of the alloy catalyst after removing the oxidized z metal B atoms, eV; E(B) is the oxidized metal B atoms in the alloy catalyst in the single substance The energy in the state, eV; n is the number of electrons e transferred when the alloy catalyst is oxidized, number;
当Ni3Cr(111)、Ni2Cr2(111)和NiCr3(111)中Cr被氧化成Cr(OH)3时,分别获取Ni3Cr、Ni2Cr2和NiCr3合金催化剂表面模型的能量;分别获取Ni3Cr、Ni2Cr2、NiCr3合金催化剂去除发生氧化的Cr金属原子后的能量;获取Cr金属原子在处于单质状态时的能量;获取Cr金属在处于单质状态时的标准氧化势;进而通过上述公式,确定Ni3Cr(111)、Ni2Cr2(111)和NiCr3(111)中Cr被氧化成Cr(OH)3时的氧化势;Surface models of Ni 3 Cr, Ni 2 Cr 2 and NiCr 3 alloy catalysts obtained when Cr in
具体得到的Ni3Cr(111)、Ni2Cr2(111)和NiCr3(111)中Ni被氧化成Ni(OH)2时的氧化势分别为0.68V、0.50V和0.47V;Ni3Cr(111)、Ni2Cr2(111)和NiCr3(111)中Cr被氧化成Cr(OH)3的氧化势分别为1.27V、1.14V和1.03V。The oxidation potentials of the obtained Ni 3 Cr(111), Ni 2 Cr 2 (111) and NiCr 3 (111) when Ni is oxidized to Ni(OH) 2 are 0.68V, 0.50V and 0.47V respectively; Ni 3 The oxidation potentials of Cr to Cr(OH) 3 in Cr(111), Ni 2 Cr 2 (111) and NiCr 3 (111) are 1.27V, 1.14V and 1.03V, respectively.
步骤2.3、确定合金催化的反应能垒:Step 2.3, determining the reaction energy barrier catalyzed by the alloy:
在碱性条件下,H2电化学氧化主要包含Tafel、Heyrovsky、Volmer三个基元反应。Tafel反应是指H2分子在催化剂表面直接分解为两个吸附的H;Heyrovsky反应是指H2分子与碱性阴离子OH-反应生成吸附的H和H2O并释放一个电子的过程;Volmer反应是指吸附的H与碱性阴离子OH-反应生成H2O并释放一个电子的过程;因此,H2电化学氧化可以经过Tafel-Volmer过程进行,也可能经过Heyrovsky-Volmer过程进行;Under alkaline conditions, the electrochemical oxidation of H2 mainly includes three elementary reactions of Tafel, Heyrovsky and Volmer. Tafel reaction refers to the direct decomposition of H2 molecules into two adsorbed H on the catalyst surface; Heyrovsky reaction refers to the process in which H2 molecules react with basic anion OH- to generate adsorbed H and H2O and release an electron; Volmer reaction Refers to the process in which the adsorbed H reacts with the basic anion OH- to generate H 2 O and release an electron; therefore, the electrochemical oxidation of H 2 can be carried out through the Tafel-Volmer process, and may also be carried out through the Heyrovsky-Volmer process;
碱性条件下,Ni3Cr、Ni2Cr2、NiCr3合金催化剂的第五模型上的H2电化学氧化反应路径的计算涉及Tafel、Heyrovsky、Volmer三个基元反应的初态、末态和过渡态;首先对第五模型上各基元反应的初态和末态进行几何结构优化,得到初态和末态的稳定结构;然后从反应初态和末态的稳定结构出发,通过线性同步跃迁/二次同步跃迁(LST/QST)方法搜索相应的过渡态,并通过频率计算验证过渡态的正确性;最后计算初态和末态之间的反应能以及初态和过渡态之间的反应能垒;根据反应能垒大小确定NiM合金催化剂表面上的最优反应路径,并确定NiM合金催化剂表面上反应过程中的速率控制步骤,NiM合金催化剂表面上反应过程中的速率控制步骤对应的反应能垒即为NiM合金催化剂在HOR正反应的反应能垒;Under alkaline conditions, the calculation of the H 2 electrochemical oxidation reaction path on the fifth model of Ni 3 Cr, Ni 2 Cr 2 , NiCr 3 alloy catalysts involves the initial state and final state of the three elementary reactions of Tafel, Heyrovsky, and Volmer and transition state; firstly, optimize the geometric structure of the initial state and final state of each elementary reaction on the fifth model to obtain the stable structure of the initial state and final state; then start from the stable structure of the initial state and final state of the reaction, through the Synchronous Transition/Quadratic Synchronous Transition (LST/QST) method searches for the corresponding transition state, and verifies the correctness of the transition state through frequency calculation; finally calculates the reaction energy between the initial state and the final state, and the reaction energy between the initial state and the transition state. The reaction energy barrier; determine the optimal reaction path on the NiM alloy catalyst surface according to the reaction energy barrier size, and determine the rate control step in the reaction process on the NiM alloy catalyst surface, the rate control step in the reaction process on the NiM alloy catalyst surface corresponds to The reaction energy barrier is the reaction energy barrier of the NiM alloy catalyst in the positive reaction of HOR;
其中,pH=13时Ni3Cr(111)、Ni2Cr2(111)、NiCr3(111)表面上Tafel、Heyrovsky、Volmer反应的反应能垒如表2给所示;由表2可以看出,Tafel反应能垒明显比Heyrovsky的低,因此,NiCr催化剂表面H2电化学氧化最优反应路径为Tafel-Volmer;相比Tafel反应,Volmer反应的能垒明显比较高,所以Volmer步骤是整个H2电化学氧化的速率控制步骤;因此,Ni3Cr(111)、Ni2Cr2(111)和NiCr3(111)上速率控制步骤的反应能垒(即Ni3Cr、Ni2Cr2、NiCr3合金催化剂在HOR正反应的反应能垒)分别为0.67eV、2.20eV和1.08eV。Wherein, when pH=13 Ni 3 Cr (111), Ni 2 Cr 2 (111), NiCr 3 (111) the reaction energy barrier of Tafel, Heyrovsky, Volmer reaction on the surface is as shown in table 2; Can see by table 2 The energy barrier of the Tafel reaction is obviously lower than that of Heyrovsky, therefore, the optimal reaction path for the electrochemical oxidation of H2 on the surface of NiCr catalyst is Tafel-Volmer; compared with the Tafel reaction, the energy barrier of the Volmer reaction is obviously higher, so the Volmer step is the whole The rate-determining step in the electrochemical oxidation of H2 ; thus, the reaction energy barriers for the rate - determining step on Ni3Cr (111), Ni2Cr2 (111) and NiCr3 (111) (i.e., Ni3Cr , Ni2Cr2 , NiCr 3 alloy catalyst in HOR positive reaction reaction energy barrier) were 0.67eV, 2.20eV and 1.08eV.
表2 pH=13时NiCr合金催化剂上的Tafel、Heyrovsky和Volmer反应能垒Table 2 Energy barriers of Tafel, Heyrovsky and Volmer reactions on NiCr alloy catalysts at pH=13
步骤2.4、确定合金催化的H吸附自由能:Step 2.4, determine the H adsorption free energy of alloy catalysis:
H可能吸附在催化剂表面金属原子的顶部,即顶位;也可能吸附在催化剂表面上两个金属原子之间的位置,即桥位;或者吸附在催化剂表面上三个金属原子之间的位置,即空位;NiCr合金表面最稳定的H吸附位是空位,当H初始时刻被放在NiCr合金表面的顶位和桥位时,H会在几何结构优化过程中自动转移到空位。H may be adsorbed on the top of the metal atom on the catalyst surface, that is, the top position; it may also be adsorbed on the position between two metal atoms on the catalyst surface, that is, the bridge position; or adsorbed on the position between three metal atoms on the catalyst surface, That is, the vacancy; the most stable H adsorption site on the NiCr alloy surface is the vacancy. When H is initially placed on the top and bridge sites of the NiCr alloy surface, H will automatically transfer to the vacancy during the geometric structure optimization process.
计算H在Ni3Cr合金催化剂的第二模型的合金催化剂表面吸附后的能量减去H未吸附时Ni3Cr合金催化剂的第二模型的能量以及1/2H2分子的能量,然后加上零点能修正、熵变修正以及pH值修正能获得H吸附自由能;Calculate the energy of H adsorbed on the surface of the alloy catalyst of the second model of Ni 3 Cr alloy catalyst minus the energy of the second model of Ni 3 Cr alloy catalyst when H is not adsorbed and the energy of 1/2 H 2 molecule, and then add zero Energy correction, entropy change correction and pH value correction can obtain H adsorption free energy;
计算H在Ni2Cr2合金催化剂的第二模型的合金催化剂表面吸附后的能量减去H未吸附时Ni2Cr2合金催化剂的第二模型的能量以及1/2H2分子的能量,然后加上零点能修正、熵变修正以及pH值修正能获得H吸附自由能;Calculate the energy after H is adsorbed on the surface of the alloy catalyst of the second model of the Ni 2 Cr 2 alloy catalyst minus the energy of the second model of the Ni 2 Cr 2 alloy catalyst when H is not adsorbed and the energy of 1/2 H 2 molecules, and then add The upper zero point energy correction, entropy change correction and pH value correction can obtain H adsorption free energy;
计算H在NiCr3合金催化剂的第二模型的合金催化剂表面吸附后的能量减去H未吸附时NiCr3合金催化剂的第二模型的能量以及1/2H2分子的能量,然后加上零点能修正、熵变修正以及pH值修正能获得H吸附自由能;Calculate the energy of H adsorbed on the surface of the alloy catalyst of the second model of the NiCr 3 alloy catalyst minus the energy of the second model of the NiCr 3 alloy catalyst when H is not adsorbed and the energy of 1/2 H 2 molecule, and then add the zero point energy correction , entropy change correction and pH value correction can obtain H adsorption free energy;
在碱性条件下pH=13时,Ni3Cr合金催化剂的Ni3Cr(111)表面上、Ni2Cr2合金催化剂的Ni2Cr2(111)表面上、NiCr3合金催化剂的NiCr3(111)表面上的H吸附自由能分别为0.494eV、0.699eV和0.238eV。When pH=13 under alkaline conditions, on the Ni 3 Cr (111 ) surface of Ni 3 Cr alloy catalyst, on the Ni 2 Cr 2 (111) surface of Ni 2 Cr 2 alloy catalyst, on the NiCr 3 ( 111) The free energies of H adsorption on the surface are 0.494eV, 0.699eV and 0.238eV, respectively.
步骤2.5、确定合金催化的极化曲线和交换电流密度Step 2.5. Determine the polarization curve and exchange current density of alloy catalysis
极由第五模型模拟,利用合金催化剂晶胞所带的电荷模拟电极电荷q;通过引入相同电量的反电荷做背景电荷来保持晶胞的电中性;计算时,给合金催化剂模型施加一定数量的电荷q(即电极电荷),然后计算在该电荷下,合金催化剂上HOR正反应(即氧化)和逆反应(即还原)的反应能垒;改变施加的电荷量,计算不同施加电荷量q条件下的合金催化剂上HOR正反应(即氧化)和逆反应(即还原)的反应能垒值,从而得到HOR正反应能垒和逆反应能垒分别随电极电荷q变化的两条曲线;The pole is simulated by the fifth model, using the charge carried by the alloy catalyst unit cell to simulate the electrode charge q; by introducing the counter charge of the same amount as the background charge to maintain the electrical neutrality of the unit cell; when calculating, apply a certain amount to the alloy catalyst model The charge q (i.e. the electrode charge), and then calculate the reaction energy barriers of HOR forward reaction (i.e. oxidation) and reverse reaction (i.e. reduction) on the alloy catalyst under this charge; change the amount of applied charge and calculate the condition of different applied charge amount q The reaction energy barrier values of HOR forward reaction (i.e. oxidation) and reverse reaction (i.e. reduction) on the alloy catalyst below, so as to obtain two curves of HOR forward reaction energy barrier and reverse reaction energy barrier changing with electrode charge q respectively;
电极电荷q与功函数W和电极电势U有关;施加一定量的电极电荷后,可计算在电荷q下合金催化剂模型的功函数W;然后根据公式U=W÷e-UNHE(W为功函数;UNHE为标准氢电极电势),计算得到给定电极电荷q下,合金催化剂模型上的电极电势U,从而将HOR正反应能垒和逆反应能垒分别随电极电荷q变化的两条曲线,转化为HOR正反应能垒和逆反应能垒分别随电极电势U变化的曲线;The electrode charge q is related to the work function W and the electrode potential U; after a certain amount of electrode charge is applied, the work function W of the alloy catalyst model under the charge q can be calculated; then according to the formula U=W÷eU NHE (W is the work function; UNHE is the standard hydrogen electrode potential), and the electrode potential U on the alloy catalyst model is calculated under a given electrode charge q, so that the two curves of the HOR forward reaction energy barrier and reverse reaction energy barrier changing with the electrode charge q are converted into The curves of HOR forward reaction energy barrier and reverse reaction energy barrier changing with electrode potential U respectively;
当HOR正反应能垒和逆反应能垒分别随随电极电势U变化的曲线交叉时,对应的电极电势是可逆电极电势即平衡电势;When the HOR forward reaction energy barrier and reverse reaction energy barrier respectively cross the curves that vary with the electrode potential U, the corresponding electrode potential is the reversible electrode potential, that is, the equilibrium potential;
将电势控制在平衡电势附近区域,确定给定电极电势值下的HOR正反应能垒和逆反应能垒,进一步利用确定给定电极电势值下的HOR动力学电流密度,从而得到合金催化剂的Tafel极化曲线;其中,jkox为氧化动力学电流密度;jkred为还原动力学电流密度;A(U)为指前因子;R为气体常数;T为温度;Ea ox(U)为U电势下合金催化剂的HOR正反应的反应能垒;Ea red(U)为U电势下合金催化剂的HOR逆反应的反应能垒;jk(U)为U电势下合金催化剂的动力学电流密度;Control the potential in the vicinity of the equilibrium potential, determine the HOR forward reaction energy barrier and reverse reaction energy barrier under a given electrode potential value, and further use Determine the HOR kinetic current density at a given electrode potential value to obtain the Tafel polarization curve of the alloy catalyst; where j kox is the oxidation kinetic current density; j kred is the reduction kinetic current density; A(U) is the index Prefactor; R is the gas constant; T is the temperature; E a ox (U) is the reaction energy barrier of the HOR forward reaction of the alloy catalyst at U potential; E a red (U) is the reaction of the HOR reverse reaction of the alloy catalyst at U potential energy barrier; j k (U) is the kinetic current density of the alloy catalyst at U potential;
利用Bulter-Volmer方程拟合合金催化剂的极化曲线,拟合得到的系数即为合金催化剂的交换电流密度;Bulter-Volmer方程为:The polarization curve of the alloy catalyst is fitted using the Bulter-Volmer equation, and the coefficient obtained by fitting is the exchange current density of the alloy catalyst; the Buter-Volmer equation is:
其中,η=U-U0 Among them, η=UU 0
式中,jk为合金催化剂的动力学电流密度,mA/cm2;j0为合金催化剂的交换电流密度,mA/cm2;α为传递系数,无量纲;F为法拉第常数,C/mol;η为过电位,V;U为jk对应的电势,V;U0为平衡电势,V。In the formula, j k is the kinetic current density of the alloy catalyst, mA/cm 2 ; j 0 is the exchange current density of the alloy catalyst, mA/cm 2 ; α is the transfer coefficient, dimensionless; F is the Faraday constant, C/mol ; η is the overpotential, V; U is the potential corresponding to j k , V; U 0 is the equilibrium potential, V.
按照上述方式分别确定Ni3Cr、Ni2Cr2、NiCr3合金催化剂的Tafel极化曲线,结果如图4A-图4C所示;按照上述方式分别确定Ni3Cr、Ni2Cr2、NiCr3合金催化剂的交换电流密度,结果参见表3,由表3可以看出,Ni3Cr、Ni2Cr2、NiCr3合金催化剂的H2电化学氧化的交换电流密度分别为0.82mA/cm2、7.78×10-15mA/cm2和2.31×10-7mA/cm2。The Tafel polarization curves of Ni 3 Cr, Ni 2 Cr 2 , and NiCr 3 alloy catalysts were determined according to the above method, and the results are shown in Figure 4A-Figure 4C; Ni 3 Cr, Ni 2 Cr 2 , NiCr 3 were determined according to the above method For the exchange current density of the alloy catalyst, see Table 3 for the results. It can be seen from Table 3 that the exchange current density of the electrochemical oxidation of H 2 over the Ni 3 Cr, Ni 2 Cr 2 , and NiCr 3 alloy catalysts is 0.82mA/cm 2 , 7.78×10 -15 mA/cm 2 and 2.31×10 -7 mA/cm 2 .
表3 pH=13时NiCr合金催化剂上的H吸附自由能和交换电流密度计算。Table 3 Calculation of H adsorption free energy and exchange current density on NiCr alloy catalyst at pH=13.
步骤3、H2电化学氧化性能评价,包括:
步骤3.1、基于合金催化剂的形成能,确定合金催化剂的稳定性:Step 3.1, based on the formation energy of the alloy catalyst, determine the stability of the alloy catalyst:
合金催化剂的形成能可以表征相应金属形成合金的可行性,若计算的形成能为负值时可以形成合金催化剂,并且形成能越小表明合金催化剂结构越稳定;若计算的形成能为正值不能形成合金催化剂;The formation energy of an alloy catalyst can represent the feasibility of the corresponding metal to form an alloy. If the calculated formation energy is a negative value, an alloy catalyst can be formed, and the smaller the formation energy, the more stable the structure of the alloy catalyst; if the calculated formation energy is a positive value, it cannot Alloying catalysts;
具体而言,Ni3Cr、Ni2Cr2、NiCr3合金催化剂的形成能分别为-2.76eV、-2.53eV、-2.34eV;计算的形成能均为负值,表明Ni和Cr可以形成稳定的Ni3Cr、Ni2Cr2、NiCr3合金。Specifically, the formation energies of Ni 3 Cr, Ni 2 Cr 2 , and NiCr 3 alloy catalysts are -2.76eV, -2.53eV, -2.34eV, respectively; the calculated formation energies are all negative, indicating that Ni and Cr can form stable Ni 3 Cr, Ni 2 Cr 2 , NiCr 3 alloys.
步骤3.2、基于合金催化剂的氧化势,进行合金催化剂抗氧化性能评价:Step 3.2, based on the oxidation potential of the alloy catalyst, evaluate the oxidation resistance of the alloy catalyst:
合金催化剂的氧化势可以表征合金催化剂在碱性条件下的抗氧化能力;若合金催化剂为正值时,表示合金可发生氧化反应,氧化势越大,表明合金越容易被氧化,则合金抗氧化能力越差;若合金催化剂为负值时,表示合金不容易发生氧化反应,氧化势越小,表明合金越不容易被氧化,则合金的抗氧化能力越强;The oxidation potential of the alloy catalyst can represent the oxidation resistance of the alloy catalyst under alkaline conditions; if the alloy catalyst is positive, it means that the alloy can undergo oxidation reaction, and the larger the oxidation potential, the easier the alloy is to be oxidized, and the alloy is more resistant to oxidation. The worse the ability is; if the alloy catalyst is negative, it means that the alloy is not easy to oxidize, and the smaller the oxidation potential, it means that the alloy is less likely to be oxidized, and the oxidation resistance of the alloy is stronger;
具体而言,Ni3Cr、Ni2Cr2和NiCr3合金催化剂中Ni被氧化成Ni(OH)2的氧化势分别为0.68V、0.50V和0.47V,均比纯Ni的氧化势0.72V低;Ni3Cr、Ni2Cr2和NiCr3中Cr被氧化成Cr(OH)3的氧化势分别为1.27V、1.14V和1.03V,也均比纯Cr的氧化势1.48V低;由此可知,Ni和Cr形成合金后其氧化势比相应单质的氧化势低,说明NiCr合金化后抗氧化性能明显提高。Specifically, the oxidation potentials of Ni oxidized to Ni(OH) 2 in Ni 3 Cr, Ni 2 Cr 2 and NiCr 3 alloy catalysts are 0.68 V, 0.50 V and 0.47 V, respectively, which are higher than the oxidation potential of pure Ni 0.72 V low; the oxidation potentials of Cr oxidized to Cr(OH) 3 in Ni 3 Cr, Ni 2 Cr 2 and NiCr 3 are 1.27V, 1.14V and 1.03V, respectively, which are also lower than the oxidation potential of pure Cr 1.48V; It can be seen that the oxidation potential of Ni and Cr after alloying is lower than that of the corresponding simple substance, indicating that the oxidation resistance of NiCr alloying is significantly improved.
步骤3.3、基于合金催化剂的H吸附自由能,进行合金催化剂的HOR催化活性评价;Step 3.3, based on the H adsorption free energy of the alloy catalyst, evaluate the HOR catalytic activity of the alloy catalyst;
合金催化剂的H吸附自由能越接近0.414eV,合金催化剂的HOR催化活性越强;The closer the H adsorption free energy of the alloy catalyst is to 0.414eV, the stronger the HOR catalytic activity of the alloy catalyst is;
具体而言,Ni3Cr、Ni2Cr2和NiCr3合金催化剂的H吸附自由能分别为0.494eV、0.699eV和0.238eV,它们与最佳H吸附自由能0.414eV差值的绝对值分别为0.08eV、0.285eV和0.176eV,说明Ni3Cr合金催化剂的上H吸附自由能最接近最佳H吸附自由能0.414eV,具有最高的H2电化学氧化活性,NiCr3合金催化剂的H2电化学氧化活性次之,Ni2Cr2合金催化剂的H2电化学氧化活性最差。Specifically, the H adsorption free energies of Ni 3 Cr, Ni 2 Cr 2 and NiCr 3 alloy catalysts are 0.494eV, 0.699eV and 0.238eV, respectively, and the absolute values of their differences from the optimal H adsorption free energy of 0.414eV are 0.08eV, 0.285eV , and 0.176eV, indicating that the upper H adsorption free energy of the Ni 3 Cr alloy catalyst is closest to the optimal H adsorption free energy of 0.414eV, and has the highest H 2 electrochemical oxidation activity. The chemical oxidation activity is next, and the H 2 electrochemical oxidation activity of the Ni 2 Cr 2 alloy catalyst is the worst.
步骤3.4、基于合金催化剂在HOR正反应的反应能垒,确定合金催化剂的催化活性;Step 3.4, based on the reaction energy barrier of the alloy catalyst in the HOR forward reaction, determine the catalytic activity of the alloy catalyst;
合金催化剂在HOR正反应的反应能垒可以表征合金催化剂的催化活性,合金催化剂在HOR正反应的反应能垒越低,则合金催化剂的催化活性越强;The reaction energy barrier of the alloy catalyst in the HOR positive reaction can characterize the catalytic activity of the alloy catalyst, the lower the reaction energy barrier of the alloy catalyst in the HOR forward reaction, the stronger the catalytic activity of the alloy catalyst;
具体而言,Ni3Cr、Ni2Cr2和NiCr3合金催化剂在HOR正反应的反应能垒0.67eV、2.20eV和1.08eV,表明Ni3Cr合金催化剂的H2电化学氧化活性最高,NiCr3合金催化剂次之,Ni2Cr2合金催化剂的H2电化学氧化活性最差。Specifically, the reaction energy barriers of Ni 3 Cr, Ni 2 Cr 2 and NiCr 3 alloy catalysts in the positive reaction of HOR are 0.67eV, 2.20eV and 1.08eV, indicating that the Ni 3 Cr alloy catalyst has the highest electrochemical oxidation activity of H 2 , and NiCr 3 alloy catalysts followed by Ni 2 Cr 2 alloy catalysts had the worst electrochemical oxidation activity of H 2 .
步骤3.5、基于合金催化剂的交换电流密度,进行合金催化剂的HOR催化活性评价;Step 3.5, based on the exchange current density of the alloy catalyst, evaluate the HOR catalytic activity of the alloy catalyst;
H2电化学氧化的交换电流密度越大,表明合金催化剂催化活性越强,交换电流密度越小,表明合金催化剂催化活性越弱;The larger the exchange current density of the electrochemical oxidation of H2 , the stronger the catalytic activity of the alloy catalyst, and the smaller the exchange current density, the weaker the catalytic activity of the alloy catalyst;
具体而言,Ni3Cr、Ni2Cr2和NiCr3合金催化剂的H2电化学氧化交换电流密度分别为0.82mA/cm2、7.78×10-15mA/cm2和2.31×10-7mA/cm2,表明H2电化学氧化活性顺序为Ni3Cr>NiCr3>Ni2Cr2。Specifically, the H 2 electrochemical oxidation exchange current densities of Ni 3 Cr, Ni 2 Cr 2 and NiCr 3 alloy catalysts were 0.82 mA/cm 2 , 7.78×10 -15 mA/cm 2 and 2.31×10 -7 mA, respectively /cm 2 , indicating that the order of H 2 electrochemical oxidation activity is Ni 3 Cr>NiCr 3 >Ni 2 Cr 2 .
本发明中应用了具体实施例对本发明的原理及实施方式进行了阐述,以上实施例的说明只是用于帮助理解本发明的方法及其核心思想;同时,对于本领域的一般技术人员,依据本发明的思想,在具体实施方式及应用范围上均会有改变之处,综上所述,本说明书内容不应理解为对本发明的限制。In the present invention, specific examples have been applied to explain the principles and implementation methods of the present invention, and the descriptions of the above examples are only used to help understand the method of the present invention and its core idea; meanwhile, for those of ordinary skill in the art, according to this The idea of the invention will have changes in the specific implementation and scope of application. To sum up, the contents of this specification should not be construed as limiting the present invention.
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