WO2022174492A1 - Prediction method for adjustment and control effect of additive element on solid solubility of target element, and application thereof - Google Patents

Prediction method for adjustment and control effect of additive element on solid solubility of target element, and application thereof Download PDF

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WO2022174492A1
WO2022174492A1 PCT/CN2021/083337 CN2021083337W WO2022174492A1 WO 2022174492 A1 WO2022174492 A1 WO 2022174492A1 CN 2021083337 W CN2021083337 W CN 2021083337W WO 2022174492 A1 WO2022174492 A1 WO 2022174492A1
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solid solution
elements
ternary
target element
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王瑨
马堂鹏
周吉学
程开明
詹成伟
赵国辰
孙佳星
刘运腾
吴建华
修大鹏
王西涛
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山东省科学院新材料研究所
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    • G16INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR SPECIFIC APPLICATION FIELDS
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    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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Abstract

A prediction method for the adjustment and control effect of an additive element in an alloy on the solid solubility of a target element, and an application thereof. The prediction method comprises: respectively constructing metal base body, binary solid solution and ternary solid solution crystal models, and monatomic models of a base body element, a target element and an additive element, wherein a ternary solid solution is selected from a crystal cell in which first coordination layers of the target element and the additive element have no shared atoms; acquiring the crystal cell volumes and cohesive energy of the above models, and the inner volumes and embedding energy of the first coordination layers by means of structure optimization and static self-consistency of first-principle calculation, and observing a numerical evolution trend during the process of a metal base solid solution expanding from binary to ternary caused by the additive element; and introducing the differential electron density of the ternary solid solution according to the numerical evolution trend, so as to realize effective prediction for the adjustment and control effect of the additive element on the solid solubility of the target element. By means of theoretical calculation, an element design basis is provided for the development of a new alloy, thereby reducing the blindness of alloy design.

Description

添加元素对目标元素固溶度调控作用的预测方法及其应用Prediction method and application of adding elements to control the solid solubility of target elements 技术领域technical field
本发明涉及金属材料技术领域,具体涉及合金中添加元素对目标元素固溶度调控作用的预测方法及其应用。The invention relates to the technical field of metal materials, in particular to a method for predicting the effect of adding elements in an alloy on the regulation and control of the solid solubility of a target element and its application.
背景技术Background technique
公开该背景技术部分的信息仅仅旨在增加对本发明的总体背景的理解,而不必然被视为承认或以任何形式暗示该信息构成已经成为本领域一般技术人员所公知的现有技术。The information disclosed in this Background section is only for enhancement of understanding of the general background of the invention and should not necessarily be taken as an acknowledgement or any form of suggestion that this information forms the prior art already known to a person of ordinary skill in the art.
随着3C电子设备、车辆等领域的产业发展,金属材料的应用需求日益广泛。然而,现有成熟的合金牌号已难以满足应用的性能要求,因此迫切需要开展新型合金的设计开发工作。固溶强化是改善合金力学性能的主要思路之一,在此思路下开展的合金设计以合金元素的固溶度为核心参数。对于二元合金,合金元素的固溶度可以根据Hume-Rothery规则及其衍生方法进行直接预测。With the industrial development of 3C electronic equipment, vehicles and other fields, the application requirements of metal materials are becoming more and more extensive. However, the existing mature alloy grades are difficult to meet the performance requirements of the application, so there is an urgent need to carry out the design and development of new alloys. Solid solution strengthening is one of the main ideas to improve the mechanical properties of alloys. The alloy design developed under this idea takes the solid solubility of alloy elements as the core parameter. For binary alloys, the solid solubility of alloying elements can be directly predicted according to the Hume-Rothery rule and its derivatives.
发明人研究发现,当合金由二元扩展至多元后,添加元素会改变原二元合金中合金元素的固溶度,而固溶度的改变又将影响合金的固溶强化效果。因此,如何从调控目标元素固溶度的角度来确定多元合金中的添加元素,对于新型合金的设计具有重要意义。The inventor's research found that when the alloy is expanded from binary to multi-element, the addition of elements will change the solid solubility of alloy elements in the original binary alloy, and the change in solid solubility will affect the solid solution strengthening effect of the alloy. Therefore, how to determine the additive elements in multi-element alloys from the perspective of regulating the solid solubility of target elements is of great significance for the design of new alloys.
而且由于目前尚缺乏预测添加元素对目标元素固溶度调控作用的理论,该方面的合金设计工作只能通过传统的实验“试错法”开展,耗费较多的时间与资源。Moreover, due to the lack of a theory to predict the effect of adding elements on the regulation of the solid solubility of the target element, the alloy design work in this area can only be carried out through the traditional experimental "trial and error method", which consumes a lot of time and resources.
发明内容SUMMARY OF THE INVENTION
为了解决现有技术存在的问题,本发明提出一种合金中添加元素对目标元素固溶度调控作用的预测方法,通过第一性原理计算,获得合金中固溶体相的结构与能量参数,并结合电子密度,准确高效地预测出添加元素对目标元素固溶度的调控作用。In order to solve the problems existing in the prior art, the present invention proposes a method for predicting the effect of adding elements in the alloy on the regulation of the solid solubility of the target element. Through first-principles calculation, the structure and energy parameters of the solid solution phase in the alloy are obtained, and combined with The electron density can accurately and efficiently predict the control effect of the added element on the solid solubility of the target element.
具体地,本发明是通过如下所述的技术方案实现的:Specifically, the present invention is achieved through the following technical solutions:
本发明第一方面,提供一种添加元素对目标元素固溶度调控作用的预测方法,包括:A first aspect of the present invention provides a method for predicting the effect of adding elements on the regulation and control of the solid solubility of target elements, including:
分别构建金属基体、二元固溶体、三元固溶体晶体模型以及基体元素、目标 元素、添加元素的单原子模型;Build metal matrix, binary solid solution, ternary solid solution crystal models, and single-atom models of matrix elements, target elements, and additive elements, respectively;
通过第一性原理计算的结构优化和静态自洽,获取金属基体、二元固溶体、三元固溶体的晶胞体积与内聚能以及第一配位层内体积与嵌入能,三元固溶体选自目标元素和添加元素第一配位层无共享原子的晶胞,分析添加元素导致固溶体由二元扩展至三元过程中的数值演变趋势。Through the structural optimization and static self-consistency of first-principles calculations, the unit cell volume and cohesive energy of the metal matrix, binary solid solution, and ternary solid solution, as well as the inner volume and intercalation energy of the first coordination layer, are obtained. The ternary solid solution is selected from There is no unit cell of shared atoms in the first coordination layer of the target element and the additive element, and the numerical evolution trend of the solid solution from binary to ternary caused by the additive element is analyzed.
依据固溶体的数值演变趋势,通过第一性原理计算的结构优化和静态自洽、非自洽,获取三元固溶体的差分电子密度,三元固溶体选自目标元素和添加元素互为最近邻原子的晶胞,分析价电子的分布状态。According to the numerical evolution trend of the solid solution, the differential electron density of the ternary solid solution is obtained through the structural optimization and static self-consistency and non-self-consistency of the first-principles calculation. Unit cell to analyze the distribution of valence electrons.
本发明第二方面,提供一种添加元素对目标元素固溶度调控作用的预测方法在合金设计领域中的应用。In a second aspect of the present invention, there is provided an application of a method for predicting the effect of adding elements on the regulation and control of the solid solubility of a target element in the field of alloy design.
本发明第三方面,提供一种可定向调控目标元素固溶度的合金设计方法,包括:添加元素对目标元素固溶度调控作用的预测方法。In a third aspect of the present invention, an alloy design method capable of directional regulation of the solid solubility of a target element is provided, including: a method for predicting the regulation effect of adding elements on the solid solubility of the target element.
本发明一个或多个实施例具有以下有益效果:One or more embodiments of the present invention have the following beneficial effects:
1)通过理论计算预测添加元素对目标元素固溶度的调控作用,为新型合金的开发提供元素设计依据,降低合金设计的盲目性,节约合金研发成本,提高研发效率。1) Predicting the regulation effect of added elements on the solid solubility of target elements through theoretical calculation, providing element design basis for the development of new alloys, reducing the blindness of alloy design, saving alloy research and development costs, and improving research and development efficiency.
2)研究发现本申请预测方法对于预测Mg合金中添加元素对目标元素固溶度调控作用,具有更准确的预测效果。2) The study found that the prediction method of the present application has a more accurate prediction effect in predicting the effect of adding elements in the Mg alloy on the regulation and control of the solid solubility of the target element.
附图说明Description of drawings
构成本发明的一部分的说明书附图用来提供对本发明的进一步理解,本发明的示意性实施例及其说明用于解释本发明,并不构成对本发明的不当限定。以下,结合附图来详细说明本发明的实施方案,其中:The accompanying drawings forming a part of the present invention are used to provide further understanding of the present invention, and the exemplary embodiments of the present invention and their descriptions are used to explain the present invention, and do not constitute an improper limitation of the present invention. Hereinafter, embodiments of the present invention will be described in detail with reference to the accompanying drawings, wherein:
图1为本发明实施例1预测合金中添加元素对目标元素固溶度调控作用的流程图;Fig. 1 is the flow chart of embodiment 1 of the present invention predicting the effect of adding elements in the alloy to control the solid solubility of target elements;
图2为本发明实施例2的Mg基体晶体模型;Fig. 2 is the Mg matrix crystal model of the embodiment 2 of the present invention;
图3为本发明实施例2的二元Mg-Zn固溶体晶体模型;Fig. 3 is the binary Mg-Zn solid solution crystal model of the embodiment 2 of the present invention;
图4为本发明实施例2的三元Mg-Zn-X固溶体晶体模型(X=Ca、Y、Sn,Zn与X第一配位层无共享原子);4 is a ternary Mg-Zn-X solid solution crystal model of Example 2 of the present invention (X=Ca, Y, Sn, Zn and X do not share atoms in the first coordination layer);
图5为本发明实施例2的Mg基体、二元Mg-Zn固溶体、三元Mg-Zn-X固溶 体(X=Ca、Y、Sn)晶胞体积;Fig. 5 is the Mg matrix, binary Mg-Zn solid solution, ternary Mg-Zn-X solid solution (X=Ca, Y, Sn) unit cell volume of the embodiment of the present invention 2;
图6为本发明实施例2的Mg基体、二元Mg-Zn固溶体、三元Mg-Zn-X固溶体(X=Ca、Y、Sn)内聚能;6 is the cohesive energy of the Mg matrix, binary Mg-Zn solid solution, and ternary Mg-Zn-X solid solution (X=Ca, Y, Sn) of Example 2 of the present invention;
图7为本发明实施例2的Mg基体、二元Mg-Zn固溶体、三元Mg-Zn-X固溶体(X=Ca、Y、Sn)中第一配位层内体积;7 is the inner volume of the first coordination layer in the Mg matrix, binary Mg-Zn solid solution, and ternary Mg-Zn-X solid solution (X=Ca, Y, Sn) of Example 2 of the present invention;
图8为本发明实施例2的Mg基体、二元Mg-Zn固溶体、三元Mg-Zn-X固溶体(X=Ca、Y、Sn)中第一配位层嵌入能;Fig. 8 is the embedding energy of the first coordination layer in the Mg matrix, binary Mg-Zn solid solution, and ternary Mg-Zn-X solid solution (X=Ca, Y, Sn) of Example 2 of the present invention;
图9为本发明实施例2的三元Mg-Zn-Ca固溶体(Zn与Ca互为最近邻)中的差分电子密度;9 is the differential electron density in the ternary Mg-Zn-Ca solid solution (Zn and Ca are the nearest neighbors to each other) of Example 2 of the present invention;
图10为本发明实施例2的三元Mg-Zn-Y固溶体(Zn与Y互为最近邻)中的差分电子密度。10 is the differential electron density in the ternary Mg-Zn-Y solid solution (Zn and Y are the nearest neighbors to each other) of Example 2 of the present invention.
具体实施方式Detailed ways
下面结合具体实施例,进一步阐述本发明。应理解,这些实施例仅用于说明本发明而不用于限制本发明的范围。下列实施例中未注明具体条件的实验方法,通常按照常规条件或按照制造厂商所建议的条件。The present invention will be further described below in conjunction with specific embodiments. It should be understood that these examples are only used to illustrate the present invention and not to limit the scope of the present invention. In the following examples, the experimental methods without specific conditions are usually in accordance with conventional conditions or in accordance with the conditions suggested by the manufacturer.
需要注意的是,这里所使用的术语仅是为了描述具体实施方式,而非意图限制根据本公开的示例性实施方式。如在这里所使用的,除非上下文另外明确指出,否则单数形式也意图包括复数形式,此外,还应当理解的是,当在本说明书中使用术语“包含”和/或“包括”时,其指明存在特征、步骤、操作、器件、组件和/或它们的组合。It should be noted that the terminology used herein is for the purpose of describing specific embodiments only, and is not intended to limit the exemplary embodiments according to the present disclosure. As used herein, unless the context clearly dictates otherwise, the singular is intended to include the plural as well, furthermore, it is to be understood that when the terms "comprising" and/or "including" are used in this specification, it indicates that There are features, steps, operations, devices, components and/or combinations thereof.
对于二元合金,合金元素的固溶度可以根据Hume-Rothery规则及其衍生方法进行直接预测。当合金由二元扩展至多元后,添加元素会改变原二元合金中合金元素的固溶度,而固溶度的改变又将影响合金的固溶强化效果。因此,如何从调控目标元素固溶度的角度来确定多元合金中的添加元素,对于新型合金的设计具有重要意义。For binary alloys, the solid solubility of alloying elements can be directly predicted according to the Hume-Rothery rule and its derivatives. When the alloy is expanded from binary to multi-element, the addition of elements will change the solid solubility of alloy elements in the original binary alloy, and the change of solid solubility will affect the solid solution strengthening effect of the alloy. Therefore, how to determine the additive elements in multi-element alloys from the perspective of regulating the solid solubility of target elements is of great significance for the design of new alloys.
为此,本发明提出一种添加元素对目标元素固溶度调控作用的预测方法,通过第一性原理计算,获得合金中固溶体相的结构与能量参数,并结合电子密度,准确高效地预测出合金中添加元素对目标元素固溶度调控作用。To this end, the present invention proposes a method for predicting the effect of adding elements on the regulation of the solid solubility of a target element. Through first-principles calculation, the structure and energy parameters of the solid solution phase in the alloy are obtained, and combined with the electron density, the prediction can be accurately and efficiently predicted. Controlling effect of added elements in alloys on the solid solubility of target elements.
具体地,本发明是通过如下所述的技术方案实现的:Specifically, the present invention is achieved through the following technical solutions:
本发明第一方面,提供一种添加元素对目标元素固溶度调控作用的预测方法,包括:A first aspect of the present invention provides a method for predicting the effect of adding elements on the regulation and control of the solid solubility of target elements, including:
分别构建金属基体、二元固溶体、三元固溶体晶体模型以及基体元素、目标元素、添加元素的单原子模型;Build metal matrix, binary solid solution, ternary solid solution crystal models, and single-atom models of matrix elements, target elements, and additive elements, respectively;
通过第一性原理计算的结构优化和静态自洽,获取以上模型的晶胞体积与内聚能以及第一配位层内体积与嵌入能,三元固溶体选自目标元素和添加元素第一配位层无共享原子的晶胞,分析添加元素导致固溶体由二元扩展至三元过程中的数值演变趋势。Through the structural optimization and static self-consistency of the first-principles calculation, the unit cell volume and cohesive energy of the above model and the inner volume and embedding energy of the first coordination layer are obtained. The ternary solid solution is selected from the target element and the added element. There is no unit cell of shared atoms in the bit layer, and the numerical evolution trend of solid solution expansion from binary to ternary caused by adding elements is analyzed.
在本发明一个或多个实施例中,若添加元素未导致原二元固溶体中的参数数值向金属基体转变,预测为添加元素具有降低目标元素在金属基体中固溶度的作用;若添加元素导致原二元固溶体中的参数数值向金属基体转变,则通过第一性原理计算的结构优化和静态自洽、非自洽,获取三元固溶体中的差分电子密度,三元固溶体选自目标元素和添加元素互为最近邻原子的晶胞,分析价电子的分布状态。In one or more embodiments of the present invention, if the added element does not cause the parameter value in the original binary solid solution to change to the metal matrix, it is predicted that the added element has the effect of reducing the solid solubility of the target element in the metal matrix; if the added element As a result, the parameter values in the original binary solid solution are transformed to the metal matrix, then the differential electron density in the ternary solid solution is obtained through the structural optimization and static self-consistency and non-self-consistency of the first-principles calculation, and the ternary solid solution is selected from the target element. And the unit cell where the element is the nearest neighbor to each other, and the distribution of valence electrons is analyzed.
优选地,若差分电子密度中目标元素和添加元素之间未发生价电子的聚集,预测为添加元素具有提高目标元素在金属基体中固溶度的作用;若发生了价电子的聚集,则预测为添加元素具有降低目标元素在金属基体中固溶度的作用。Preferably, if the aggregation of valence electrons does not occur between the target element and the additive element in the differential electron density, it is predicted that the additive element has the effect of improving the solid solubility of the target element in the metal matrix; if the aggregation of valence electrons occurs, it is predicted that The addition of elements has the effect of reducing the solid solubility of the target element in the metal matrix.
在本发明一个或多个实施例中,所述金属基体晶体模型为根据实验测定的空间群、晶格参数及原子坐标所构建的纯金属元胞,并将其扩展为超胞,各基矢方向上的扩展系数需大于等于3;In one or more embodiments of the present invention, the metal matrix crystal model is a pure metal cell constructed according to the experimentally determined space group, lattice parameters and atomic coordinates, and is extended into a supercell, each basis vector The expansion factor in the direction must be greater than or equal to 3;
优选地,所述二元固溶体晶体模型为将纯金属超胞中任意一个原子置换为目标元素;Preferably, the binary solid solution crystal model is to replace any atom in the pure metal supercell with the target element;
优选地,所述三元固溶体晶体模型为将纯金属超胞中的两个原子分别置换为目标元素和添加元素;Preferably, the crystal model of the ternary solid solution is to replace two atoms in the pure metal supercell with the target element and the additive element respectively;
优选地,所述三元固溶体晶体模型包括目标元素和添加元素的第一配位层无共享原子以及目标元素和添加元素互为最近邻原子;Preferably, the ternary solid solution crystal model includes no shared atoms in the first coordination layer of the target element and the additive element, and the target element and the additive element are nearest neighbor atoms to each other;
优选地,所述单原子模型,需构建正交晶格,且晶格参数满足以下条件:
Figure PCTCN2021083337-appb-000001
Figure PCTCN2021083337-appb-000002
a≠b≠c,原子可固定于晶格内的任意位置。
Preferably, for the single-atom model, an orthorhombic lattice needs to be constructed, and the lattice parameters meet the following conditions:
Figure PCTCN2021083337-appb-000001
Figure PCTCN2021083337-appb-000002
a≠b≠c, atoms can be fixed at any position in the lattice.
在本发明一个或多个实施例中,计算参数包括:平面波截断能大于等于350 eV,布里渊区网格密度大于等于9×9×5;体系总能量收敛判据小于等于5×10 -6eV/cell,单原子受力收敛判据小于等于
Figure PCTCN2021083337-appb-000003
In one or more embodiments of the present invention, the calculation parameters include: the plane wave truncation energy is greater than or equal to 350 eV, the grid density of the Brillouin zone is greater than or equal to 9×9×5; the total energy convergence criterion of the system is less than or equal to 5×10 − 6 eV/cell, the single-atom force convergence criterion is less than or equal to
Figure PCTCN2021083337-appb-000003
在本发明一个或多个实施例中,利用第一性原理计算软件,对优化后的晶胞实施静态自洽,得到金属基体、二元和三元固溶体的晶胞体积与总能,对单原子模型实施静态自洽,得到基体元素、目标元素、添加元素的单原子总能,并计算各体系的内聚能。In one or more embodiments of the present invention, first-principles calculation software is used to perform static self-consistency on the optimized unit cell to obtain the unit cell volume and total energy of the metal matrix, binary and ternary solid solutions. The atomic model implements static self-consistency, obtains the total energy of single atoms of matrix elements, target elements and added elements, and calculates the cohesive energy of each system.
在本发明一个或多个实施例中,分别在金属基体、二元固溶体以及上述选取的三元固溶体优化后的晶胞中将识别出的第一配位层内原子移除,利用第一性原理计算软件对其实施静态自洽,得到体系总能,并计算第一配位层内的嵌入能。In one or more embodiments of the present invention, the identified atoms in the first coordination layer are removed from the metal matrix, the binary solid solution, and the optimized unit cell of the selected ternary solid solution, respectively, and the first coordination layer is used. The principle calculation software implements static self-consistency, obtains the total energy of the system, and calculates the embedded energy in the first coordination layer.
在本发明一个或多个实施例中,利用第一性原理计算软件,对上述选取的三元固溶体优化后的晶胞实施静态自洽与非自洽,计算差分电子密度。In one or more embodiments of the present invention, first-principles calculation software is used to perform static self-consistency and non-self-consistency on the optimized unit cell of the ternary solid solution selected above to calculate the differential electron density.
在本发明一个或多个实施例中,所述金属基体为Mg,目标元素为Zn,添加元素选自Ca,Sn,Y。In one or more embodiments of the present invention, the metal matrix is Mg, the target element is Zn, and the additive element is selected from Ca, Sn, and Y.
在本发明一个或多个实施例中,添加元素对目标元素固溶度调控作用的预测方法包括:In one or more embodiments of the present invention, the method for predicting the effect of adding elements on the regulation and control of the solid solubility of the target element includes:
模型构建:分别构建Mg基体、二元Mg基固溶体、三元Mg基固溶体晶格模型以及Mg、目标元素、添加元素的单原子模型;Model construction: Build Mg matrix, binary Mg-based solid solution, ternary Mg-based solid solution lattice models, and single-atom models of Mg, target elements, and added elements;
计算过程:优化模型,计算Mg基体、二元和三元Mg基固溶体的晶胞体积与总能,以及Mg、目标元素、添加元素的单原子总能,获得各体系的内聚能;Calculation process: optimize the model, calculate the unit cell volume and total energy of Mg matrix, binary and ternary Mg-based solid solutions, and the total energy of single atoms of Mg, target elements, and added elements, and obtain the cohesive energy of each system;
在Mg基体的优化晶胞中,识别任意一个Mg原子的第一配位层,同时分别识别出二元和三元Mg基固溶体优化晶胞中目标元素的第一配位层,计算各体系中第一配位层内体积;分别在Mg基体、二元Mg基固溶体以及上述选取的三元Mg基固溶体优化后的晶胞中将识别出的第一配位层内原子移除,得到体系总能和第一配位层内的嵌入能;In the optimized unit cell of Mg matrix, the first coordination layer of any Mg atom was identified, and the first coordination layer of the target element in the optimized unit cell of binary and ternary Mg-based solid solution was identified respectively. The inner volume of the first coordination layer; the identified atoms in the first coordination layer are removed from the optimized unit cells of the Mg matrix, the binary Mg-based solid solution and the selected ternary Mg-based solid solution, respectively, to obtain the total system volume. energy and the intercalation energy in the first coordination layer;
根据以上四种参数,明确添加元素导致Mg基固溶体由二元扩展至三元过程中的数值演变趋势,若添加元素导致原二元Mg基固溶体中的参数数值向Mg基体转变,则进一步计算上述选取的三元Mg基固溶体差分电子密度,最终为Mg合金中添加元素对目标元素固溶度的调控作用实现有效预测。According to the above four parameters, the numerical evolution trend of the Mg-based solid solution from binary expansion to ternary caused by the addition of elements is clearly defined. If the addition of elements causes the parameter values in the original binary Mg-based solid solution to change to the Mg matrix, the above The selected differential electron density of the ternary Mg-based solid solution finally achieves an effective prediction for the control effect of the added elements in the Mg alloy on the solid solubility of the target element.
具体地,包括:Specifically, including:
一、模型构建:1. Model construction:
利用可视化建模软件分别构建Mg基体、二元Mg基固溶体、三元Mg基固溶体晶格模型以及Mg、目标元素、添加元素的单原子模型,建模方法如下:The Mg matrix, binary Mg-based solid solution, ternary Mg-based solid solution lattice model, and single-atom models of Mg, target elements, and added elements were constructed by visual modeling software. The modeling methods are as follows:
根据实验测定的空间群、晶格参数及原子坐标构建纯Mg元胞,并将其扩展为超胞。其中,各基矢方向上的扩展系数需大于等于3。以此作为Mg基体晶体模型。According to the experimentally determined space group, lattice parameters and atomic coordinates, a pure Mg cell was constructed and extended into a supercell. Wherein, the expansion coefficient in each base vector direction must be greater than or equal to 3. This is used as the Mg matrix crystal model.
将纯Mg超胞中任意一个原子置换为目标元素,作为二元Mg基固溶体晶体模型。Any atom in the pure Mg supercell is replaced with the target element as a binary Mg-based solid solution crystal model.
将纯Mg超胞中的两个原子分别置换为目标元素和添加元素,形成三元Mg基固溶体晶体模型。该模型需构建两种,分别对应了目标元素和添加元素的两种原子位置关系:一种为二者的第一配位层无共享原子,另一种为二者互为最近邻原子。The two atoms in the pure Mg supercell were replaced by the target element and the additive element, respectively, to form a ternary Mg-based solid solution crystal model. This model needs to construct two kinds of atomic positional relationships corresponding to the target element and the added element: one is that there is no shared atom in the first coordination layer of the two, and the other is that the two are the nearest neighbor atoms to each other.
对于单原子模型,需构建正交晶格,且晶格参数满足以下条件:
Figure PCTCN2021083337-appb-000004
Figure PCTCN2021083337-appb-000005
a≠b≠c。该模型中,原子可固定于晶格内的任意位置。
For the single-atom model, an orthorhombic lattice needs to be constructed, and the lattice parameters satisfy the following conditions:
Figure PCTCN2021083337-appb-000004
Figure PCTCN2021083337-appb-000005
a≠b≠c. In this model, atoms can be fixed anywhere within the lattice.
二、计算过程:Second, the calculation process:
利用第一性原理计算软件,分别对Mg基体、二元和三元Mg基固溶体模型实施结构优化。其中,三元Mg基固溶体选取目标元素和添加元素第一配位层无共享原子的晶胞。First-principles calculation software was used to optimize the structure of Mg matrix, binary and ternary Mg-based solid solution models, respectively. Among them, the ternary Mg-based solid solution selects the unit cell with no shared atoms in the first coordination layer of the target element and the additive element.
计算参数要求如下:平面波截断能大于等于350eV,布里渊区网格密度大于等于9×9×5。体系总能量收敛判据小于等于5×10 -6eV/cell,单原子受力收敛判据小于等于
Figure PCTCN2021083337-appb-000006
The calculation parameters are required as follows: the plane wave truncation energy is greater than or equal to 350eV, and the grid density of the Brillouin zone is greater than or equal to 9×9×5. The total energy convergence criterion of the system is less than or equal to 5×10 -6 eV/cell, and the single-atom force convergence criterion is less than or equal to
Figure PCTCN2021083337-appb-000006
利用第一性原理计算软件,对优化后的晶胞实施静态自洽,得到Mg基体、二元和三元Mg基固溶体的晶胞体积与总能。进一步,对单原子模型实施静态自洽,得到Mg、目标元素、添加元素的单原子总能,并根据以下公式计算各体系的内聚能。Using first-principles calculation software, the optimized unit cell was statically self-consistent, and the unit cell volume and total energy of Mg matrix, binary and ternary Mg-based solid solutions were obtained. Further, the static self-consistency of the single-atom model was implemented to obtain the single-atom total energy of Mg, the target element, and the added element, and the cohesive energy of each system was calculated according to the following formula.
Figure PCTCN2021083337-appb-000007
Figure PCTCN2021083337-appb-000007
其中,E total为优化后晶胞的体系总能,N e为结构中包含的元素数量,n i为各元素在结构中的原子数,
Figure PCTCN2021083337-appb-000008
为元素的单原子能量。
Among them, E total is the total system energy of the optimized unit cell, Ne is the number of elements contained in the structure, ni is the number of atoms of each element in the structure,
Figure PCTCN2021083337-appb-000008
is the monatomic energy of the element.
在Mg基体的优化晶胞中,识别任意一个Mg原子的第一配位层,同时分别识别出二元和三元Mg基固溶体优化晶胞中目标元素的第一配位层。计算各体系中第一配位层内体积。In the optimized unit cell of Mg matrix, the first coordination layer of any Mg atom was identified, and the first coordination layer of the target element in the optimized unit cell of binary and ternary Mg-based solid solution was identified respectively. Calculate the inner volume of the first coordination layer in each system.
分别在Mg基体、二元Mg基固溶体以及上述选取的三元Mg基固溶体优化后的晶胞中将识别出的第一配位层内原子移除,再次利用第一性原理计算软件对其实施静态自洽,得到体系总能,并根据以下公式计算第一配位层内的嵌入能。The atoms in the identified first coordination layer were removed from the optimized unit cells of the Mg matrix, the binary Mg-based solid solution, and the selected ternary Mg-based solid solution, respectively, and the first-principles calculation software was used to implement them again. Statically self-consistent, the total energy of the system is obtained, and the intercalation energy in the first coordination layer is calculated according to the following formula.
Figure PCTCN2021083337-appb-000009
Figure PCTCN2021083337-appb-000009
其中,A为被移除的部分,
Figure PCTCN2021083337-appb-000010
为完整优化后晶胞内聚能,
Figure PCTCN2021083337-appb-000011
为移除A后晶胞剩余部分的内聚能。
Among them, A is the removed part,
Figure PCTCN2021083337-appb-000010
In order to fully optimize the cohesive energy of the unit cell,
Figure PCTCN2021083337-appb-000011
is the cohesive energy of the remainder of the unit cell after A is removed.
以Mg基体与二元Mg基固溶体在晶胞体积、内聚能、以及第一配位层内体积、嵌入能方面的差别为基准,明确Mg基固溶体从二元扩展至三元过程中以上方面的数据演变趋势。Based on the differences in unit cell volume, cohesive energy, and the volume and intercalation energy of the first coordination layer between the Mg matrix and the binary Mg-based solid solution, it is clear that the above aspects of the Mg-based solid solution in the process of expanding from binary to ternary data trends.
若添加元素导致原二元Mg基固溶体中的参数数值向Mg基体转变,则利用第一性原理计算软件,对目标元素和添加元素互为最近邻的三元Mg基固溶体模型实施结构优化,进一步对优化后的结构实施静态自洽与非自洽,并根据以下公式计算差分电子密度。If the addition of elements causes the parameter values in the original binary Mg-based solid solution to change to the Mg matrix, first-principles calculation software is used to optimize the structure of the ternary Mg-based solid solution model in which the target element and the added element are the nearest neighbors to each other. Static self-consistency and non-self-consistency are implemented for the optimized structure, and the differential electron density is calculated according to the following formula.
Δρ=ρ scnsc Δρ=ρ sc -ρ nsc
其中,ρ sc为优化结构静态自洽后的电子密度,ρ nsc为非自洽的电子密度。 Among them, ρ sc is the electron density after the optimized structure is statically self-consistent, and ρ nsc is the non-self-consistent electron density.
评估结构中目标元素和添加元素之间的差分电子密度,确定添加元素对目标元素固溶度的调控作用。The differential electron density between the target element and the additive element in the structure is evaluated, and the regulating effect of the additive element on the solid solubility of the target element is determined.
本发明第二方面,提供一种添加元素对目标元素固溶度调控作用的预测方法在合金设计领域中的应用。In a second aspect of the present invention, there is provided an application of a method for predicting the effect of adding elements on the regulation and control of the solid solubility of a target element in the field of alloy design.
本发明第三方面,提供一种可定向调控目标元素固溶度的合金设计方法,包括添加元素对目标元素固溶度调控作用的预测方法。In a third aspect of the present invention, an alloy design method capable of directional regulation of the solid solubility of a target element is provided, including a method for predicting the regulation effect of adding elements on the solid solubility of the target element.
下面结合具体的实施例,对本发明做进一步的详细说明,应该指出,所述具体实施例是对本发明的解释而不是限定。The present invention will be further described in detail below with reference to specific embodiments. It should be pointed out that the specific embodiments are intended to explain rather than limit the present invention.
实施例1Example 1
本实施例添加元素对目标元素固溶度调控作用的预测方法流程如图1所示。首先,构建金属基体、二元固溶体、三元固溶体晶格模型。其次,通过第一性原 理计算的结构优化和静态自洽,获取以上模型的晶胞体积与内聚能以及第一配位层内体积与嵌入能。根据以上四种参数,明确添加元素导致固溶体由二元扩展至三元过程中的数值演变趋势。若添加元素导致原二元固溶体中的参数数值向金属基体转变,则引入三元固溶体中的差分电子密度,最终为合金中添加元素对目标元素固溶度的调控作用实现有效预测。Figure 1 shows the flow chart of the method for predicting the effect of adding elements on the regulation and control of the solid solubility of the target element in this embodiment. First, the lattice models of metal matrix, binary solid solution and ternary solid solution are constructed. Secondly, through the structural optimization and static self-consistency of first-principles calculations, the unit cell volume and cohesive energy of the above model and the inner volume and embedding energy of the first coordination layer are obtained. According to the above four parameters, the numerical evolution trend in the process of solid solution expanding from binary to ternary caused by the addition of elements is clearly defined. If the addition of elements causes the parameter values in the original binary solid solution to change to the metal matrix, the differential electron density in the ternary solid solution is introduced, and finally the effect of the addition elements in the alloy on the regulation of the solid solubility of the target element can be effectively predicted.
实施例2Example 2
以Ca、Y、Sn、Zn为例,分别预测Mg合金中Ca、Y、Sn对Zn固溶度的调控作用。Taking Ca, Y, Sn and Zn as examples, the regulating effects of Ca, Y, Sn on the solid solubility of Zn in Mg alloys were predicted respectively.
以Zn为目标元素,Ca、Y、Sn为添加元素,构建Mg基体、二元Mg-Zn固溶体模型、目标元素与添加元素第一配位层无共享原子的三元Mg-Zn-Ca、Mg-Zn-Y、Mg-Zn-Sn固溶体模型如图2-4所示。Taking Zn as the target element and Ca, Y, Sn as the additive elements, a Mg matrix, a binary Mg-Zn solid solution model, and a ternary Mg-Zn-Ca, Mg with no shared atoms in the first coordination layer of the target element and the additive element were constructed. -Zn-Y, Mg-Zn-Sn solid solution model is shown in Figure 2-4.
对以上模型实施结构优化,并对优化后的结构实施静态自洽,计算晶胞体积与内聚能,如图5和图6所示。计算参数选取为:平面波截断能大于等于500eV,布里渊区网格密度大于等于9×9×5。体系总能量收敛判据小于等于5×10 -6eV/cell,单原子受力收敛判据小于等于
Figure PCTCN2021083337-appb-000012
The structure optimization is performed on the above model, and the optimized structure is statically self-consistent, and the unit cell volume and cohesive energy are calculated, as shown in Figure 5 and Figure 6. The calculation parameters are selected as follows: the plane wave truncation energy is greater than or equal to 500 eV, and the grid density of the Brillouin zone is greater than or equal to 9×9×5. The total energy convergence criterion of the system is less than or equal to 5×10 -6 eV/cell, and the single-atom force convergence criterion is less than or equal to
Figure PCTCN2021083337-appb-000012
计算Mg基体模型中任意Mg原子第一配位层内体积及嵌入能,以及Mg-Zn、Mg-Zn-Ca、Mg-Zn-Y、Mg-Zn-Sn固溶体模型中Zn原子第一配位层内体积及嵌入能,如图7和图8所示。Calculate the inner volume and intercalation energy of the first coordination layer of any Mg atom in the Mg matrix model, and the first coordination of Zn atom in the Mg-Zn, Mg-Zn-Ca, Mg-Zn-Y, Mg-Zn-Sn solid solution models The intralayer volume and embedding energy are shown in Fig. 7 and Fig. 8.
图5至图8显示,Sn的添加未能使Mg-Zn固溶体中的晶胞体积、内聚能、第一配位层内体积与嵌入能全部向Mg基体转变,由此预测为具有降低Zn在Mg基体中固溶度的作用。Figures 5 to 8 show that the addition of Sn failed to transform the unit cell volume, cohesive energy, inner volume of the first coordination layer, and intercalation energy in the Mg-Zn solid solution to the Mg matrix, which is predicted to have a reduced Zn The role of solid solubility in the Mg matrix.
这一预测结果与文献(P.Ghosh et al.Critical assessment and thermodynamic modeling of Mg–Zn,Mg–Sn,Sn–Zn and Mg–Sn–Zn systems.CALPHAD,2012,36:28–43)记载的一致,该文献综合评估了已有的Mg–Sn–Zn合金系热力学数据,并给出了与实验数据相吻合的Mg–Sn–Zn合金相图(文献中的Fig.12)。富Mg角的固溶体相边界说明,在340℃和500℃时,Sn在Mg基体中的固溶均导致了Zn固溶度的下降。This prediction result is consistent with the literature (P.Ghosh et al.Critical assessment and thermodynamic modeling of Mg–Zn, Mg–Sn, Sn–Zn and Mg–Sn–Zn systems. CALPHAD, 2012, 36: 28–43) Consistently, this paper comprehensively evaluates the existing thermodynamic data of the Mg–Sn–Zn alloy system, and presents a phase diagram of the Mg–Sn–Zn alloy that is consistent with the experimental data (Fig. 12 in the literature). The solid solution phase boundary of the Mg-rich corner indicates that the solid solution of Sn in the Mg matrix leads to the decrease of Zn solid solubility at both 340 °C and 500 °C.
本实施例预测的Sn对Zn在Mg基体中固溶度的调控作用与相图结果相符,说明本预测方法预测Mg合金中Sn对Zn固溶度的调控作用准确度高。The control effect of Sn on the solid solubility of Zn in the Mg matrix predicted in this example is consistent with the phase diagram results, indicating that this prediction method has high accuracy in predicting the control effect of Sn on the solid solubility of Zn in Mg alloys.
计算目标与添加元素互为最近邻原子的三元Mg-Zn-Ca、Mg-Zn-Y固溶体模型中的差分电子密度,如图9和10所示。Calculate the differential electron density in the ternary Mg-Zn-Ca, Mg-Zn-Y solid solution model in which the target and additive elements are the nearest neighbors to each other, as shown in Figures 9 and 10.
综合图5至图10可以看出,Ca的添加使得Mg-Zn固溶体中的晶胞体积、内聚能、第一配位层内体积与嵌入能全部向Mg基体转变,且当Ca、Zn互为最近邻原子时,二者之间并不发生价电子的聚集,因此预测为具有提高Zn在Mg基体中固溶度的作用。It can be seen from Fig. 5 to Fig. 10 that the addition of Ca makes the unit cell volume, cohesive energy, inner volume and intercalation energy of the first coordination layer in the Mg-Zn solid solution all transformed to the Mg matrix, and when Ca and Zn interact with each other. When it is the nearest neighbor atom, the aggregation of valence electrons does not occur between the two, so it is predicted to have the effect of improving the solid solubility of Zn in the Mg matrix.
这一预测结果与文献(李洪晓,马倩倩,任玉平,等.Mg-Zn-Ca系富Mg区域三元化合物及其固态相平衡[J].金属学报,2011(04):385-390)记载的一致,该文献给出了实验测定的Mg-Zn-Ca合金富Mg区域相图(文献中的图6)。该相图结果显示,335℃时,Ca的添加可以使Zn在Mg基体中的最大固溶度由2.4%提高到4.6%,提升近1倍。This prediction result is consistent with the literature (Li Hongxiao, Ma Qianqian, Ren Yuping, et al. Mg-Zn-Ca system Mg-rich region ternary compounds and their solid-state phase equilibrium [J]. Chinese Journal of Metals, 2011(04):385-390) Consistently, the literature presents the experimentally determined phase diagram of the Mg-rich region of the Mg-Zn-Ca alloy (Fig. 6 in the literature). The phase diagram results show that the addition of Ca can increase the maximum solid solubility of Zn in the Mg matrix from 2.4% to 4.6% at 335 °C, which is nearly doubled.
本实施例预测的Ca对Zn在Mg基体中固溶度的调控作用与实验数据相符,说明本预测方法预测Mg合金中Ca对Zn固溶度的调控作用准确度高。The control effect of Ca on the solid solubility of Zn in the Mg matrix predicted in this example is consistent with the experimental data, indicating that this prediction method has high accuracy in predicting the control effect of Ca on the solid solubility of Zn in Mg alloys.
Y虽然同样使得以上四种参数数值向Mg基体转变,但当Y、Zn互为最近邻时,二者间发生了显著的价电子聚集现象,因而将降低Zn在Mg基体中固溶度。Although Y also changes the values of the above four parameters to the Mg matrix, when Y and Zn are the nearest neighbors to each other, significant valence electron aggregation occurs between them, which will reduce the solid solubility of Zn in the Mg matrix.
这一预测结果与文献(B.S Liu et al.Phase equilibria of low-Y side in Mg-Zn-Y system at 400℃.Rare Metal,2020,39(3):262-269)记载的一致,该文献给出了Mg-Zn-Y合金固溶体相中Zn和Y固溶度的实验测定值(文献中的Table 1)。结果显示,400℃时,在固溶体相不含Y的情况下,Zn固溶度的测定值在2.2~3.2%之间;当固溶体相中Y含量为0.2%的情况下,Zn的固溶度下降至0.4%。This prediction result is consistent with the literature (B.S Liu et al. Phase equilibria of low-Y side in Mg-Zn-Y system at 400℃. Rare Metal, 2020, 39(3): 262-269), which Experimentally determined values of the solid solubility of Zn and Y in the solid solution phase of Mg-Zn-Y alloys are given (Table 1 in the literature). The results show that at 400°C, when the solid solution phase does not contain Y, the measured value of the Zn solid solubility is between 2.2% and 3.2%; when the Y content in the solid solution phase is 0.2%, the Zn solid solubility fell to 0.4%.
本实施例预测的Y对Zn在Mg基体中固溶度的调控作用与实验数据相符,说明本预测方法预测Mg合金中Y对Zn固溶度的调控作用准确度高。The control effect of Y on the solid solubility of Zn in the Mg matrix predicted in this example is consistent with the experimental data, indicating that this prediction method has high accuracy in predicting the control effect of Y on the solid solubility of Zn in Mg alloys.
以上所述仅为本发明的优选实施例而已,并不用于限制本发明,尽管参照前述实施例对本发明进行了详细的说明,对于本领域的技术人员来说,其依然可以对前述各实施例所记载的技术方案进行修改,或者对其中部分技术特征进行等同替换。凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The above descriptions are only preferred embodiments of the present invention, and are not intended to limit the present invention. Although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art can still understand the foregoing embodiments. The technical solutions described are modified, or some technical features thereof are equivalently replaced. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included within the protection scope of the present invention.

Claims (10)

  1. 添加元素对目标元素固溶度调控作用的预测方法,其特征在于,包括:The method for predicting the effect of adding elements on the regulation and control of the solid solubility of the target element is characterized by comprising:
    分别构建金属基体、二元固溶体、三元固溶体晶体模型以及基体元素、目标元素、添加元素的单原子模型;Build metal matrix, binary solid solution, ternary solid solution crystal models, and single-atom models of matrix elements, target elements, and additive elements, respectively;
    通过第一性原理计算的结构优化和静态自洽,获取以上模型的晶胞体积与内聚能以及第一配位层内体积与嵌入能,三元固溶体选自目标元素和添加元素第一配位层无共享原子的晶胞,分析添加元素导致固溶体由二元扩展至三元过程中的数值演变趋势。Through the structural optimization and static self-consistency of the first-principles calculation, the unit cell volume and cohesive energy of the above model and the inner volume and embedding energy of the first coordination layer are obtained. The ternary solid solution is selected from the target element and the added element. There is no unit cell of shared atoms in the bit layer, and the numerical evolution trend of solid solution expansion from binary to ternary caused by adding elements is analyzed.
  2. 根据权利要求1所述的添加元素对目标元素固溶度调控作用的预测方法,其特征在于,若添加元素未导致原二元固溶体中的参数数值向金属基体转变,预测为添加元素具有降低目标元素在基体中固溶度的作用;若添加元素导致原二元固溶体中的参数数值向金属基体转变,则通过第一性原理计算的结构优化和静态自洽、非自洽,获取三元固溶体中的差分电子密度,三元固溶体选自目标元素和添加元素互为最近邻原子的晶胞,分析价电子的分布状态;The method for predicting the effect of an additive element on the solid solubility of a target element according to claim 1, wherein if the additive element does not cause the parameter value in the original binary solid solution to change to the metal matrix, it is predicted that the additive element has a reduced target The role of elements in the solid solubility of the matrix; if the addition of elements causes the parameter values in the original binary solid solution to change to the metal matrix, the ternary solid solution can be obtained through structural optimization and static self-consistency and non-self-consistency calculated by first-principles calculations. The differential electron density in the ternary solid solution is selected from the unit cell where the target element and the additive element are the nearest neighbors to each other, and the distribution state of valence electrons is analyzed;
    或,若差分电子密度中目标元素和添加元素之间未发生价电子的聚集,预测为添加元素具有提高目标元素在金属基体中固溶度的作用;若发生了价电子的聚集,则预测为添加元素具有降低目标元素在金属基体中固溶度的作用。Or, if there is no valence electron aggregation between the target element and the additive element in the differential electron density, it is predicted that the additive element has the effect of improving the solid solubility of the target element in the metal matrix; if the valence electron aggregation occurs, it is predicted as The added element has the effect of reducing the solid solubility of the target element in the metal matrix.
  3. 根据权利要求1所述的添加元素对目标元素固溶度调控作用的预测方法,其特征在于,所述金属基体晶体模型为根据实验测定的空间群、晶格参数及原子坐标构建纯金属元胞,并将其扩展为超胞,各基矢方向上的扩展系数需大于等于3;The method for predicting the effect of adding elements on the regulation and control of the solid solubility of a target element according to claim 1, wherein the metal matrix crystal model is to construct a pure metal cell according to the experimentally determined space group, lattice parameters and atomic coordinates , and expand it into a supercell, and the expansion coefficient in the direction of each basis vector must be greater than or equal to 3;
    或,所述二元固溶体晶体模型为将纯金属超胞中任意一个原子置换为目标元素;Or, the binary solid solution crystal model is to replace any atom in the pure metal supercell with the target element;
    或,所述三元固溶体晶体模型为将纯金属超胞中的两个原子分别置换为目标元素和添加元素;Or, the ternary solid solution crystal model is to replace the two atoms in the pure metal supercell with the target element and the additive element respectively;
    或,所述三元固溶体晶体模型包括目标元素和添加元素的第一配位层无共享原子以及目标元素和添加元素互为最近邻原子;Or, the ternary solid solution crystal model includes no shared atoms in the first coordination layer of the target element and the additive element, and the target element and the additive element are the nearest neighbor atoms to each other;
    或,所述单原子模型,需构建正交晶格,且晶格参数满足以下条件:
    Figure PCTCN2021083337-appb-100001
    Figure PCTCN2021083337-appb-100002
    a≠b≠c,原子可固定于晶格内的任意位置。
    Or, for the single-atom model, an orthorhombic lattice needs to be constructed, and the lattice parameters meet the following conditions:
    Figure PCTCN2021083337-appb-100001
    Figure PCTCN2021083337-appb-100002
    a≠b≠c, atoms can be fixed at any position in the lattice.
  4. 根据权利要求1所述的添加元素对目标元素固溶度调控作用的预测方法,The method for predicting the effect of additive elements on the solid solubility regulation of target elements according to claim 1,
    其特征在于,计算参数包括:平面波截断能大于等于350eV,布里渊区网格密度大于等于9×9×5;体系总能量收敛判据小于等于5×10 -6eV/cell,单原子受力收敛判据小于等于
    Figure PCTCN2021083337-appb-100003
    It is characterized in that the calculation parameters include: the plane wave truncation energy is greater than or equal to 350 eV, the grid density of the Brillouin zone is greater than or equal to 9 × 9 × 5; the total energy convergence criterion of the system is less than or equal to 5 × 10 -6 eV/cell, and the single atom is subjected to Force convergence criterion is less than or equal to
    Figure PCTCN2021083337-appb-100003
  5. 根据权利要求1所述的添加元素对目标元素固溶度调控作用的预测方法,其特征在于,利用第一性原理计算软件,对优化后的晶胞实施静态自洽,得到金属基体、二元和三元固溶体的晶胞体积与总能,对单原子模型实施静态自洽,得到基体元素、目标元素、添加元素的单原子总能,并计算各体系的内聚能。The method for predicting the effect of adding elements on the regulation of the solid solubility of a target element according to claim 1, wherein the optimized unit cell is statically self-consistent by using first-principles calculation software to obtain the metal matrix, binary And the unit cell volume and total energy of the ternary solid solution, the static self-consistency of the single-atom model is implemented, the single-atom total energy of the matrix element, the target element, and the added element is obtained, and the cohesive energy of each system is calculated.
  6. 根据权利要求1所述的添加元素对目标元素固溶度调控作用的预测方法,其特征在于,分别在金属基体、二元固溶体以及上述选取的三元固溶体优化后的晶胞中将识别出的第一配位层内原子移除,利用第一性原理计算软件对其实施静态自洽,得到体系总能,并计算第一配位层内的嵌入能。The method for predicting the control effect of additive elements on the solid solubility of target elements according to claim 1, characterized in that, in the optimized unit cell of the metal matrix, the binary solid solution and the selected ternary solid solution, the identified The atoms in the first coordination layer are removed, and first-principles calculation software is used to implement static self-consistency to obtain the total energy of the system, and then calculate the embedded energy in the first coordination layer.
  7. 根据权利要求1所述的添加元素对目标元素固溶度调控作用的预测方法,其特征在于,利用第一性原理计算软件,对上述选取的三元固溶体优化后的晶胞实施静态自洽与非自洽,计算差分电子密度。The method for predicting the control effect of additive elements on the solid solubility of a target element according to claim 1, characterized in that, by using first-principles calculation software, a static self-consistent and Not self-consistent, calculate the differential electron density.
  8. 根据权利要求1所述的添加元素对目标元素固溶度调控作用的预测方法,其特征在于,所述基体元素为Mg,目标元素为Zn,添加元素选自Ca、Sn和Y;The method for predicting the effect of an additive element on the solid solubility of a target element according to claim 1, wherein the matrix element is Mg, the target element is Zn, and the additive element is selected from Ca, Sn and Y;
    或,添加元素对目标元素固溶度调控作用的预测方法包括:Or, the method for predicting the effect of adding elements on the regulation of the solid solubility of the target element includes:
    模型构建:分别构建Mg基体、二元Mg基固溶体、三元Mg基固溶体晶格模型以及Mg、目标元素、添加元素的单原子模型;Model construction: Build Mg matrix, binary Mg-based solid solution, ternary Mg-based solid solution lattice models, and single-atom models of Mg, target elements, and added elements;
    计算过程:优化模型,计算Mg基体、二元和三元Mg基固溶体的晶胞体积与总能,以及Mg、目标元素、添加元素的单原子总能,获得各体系的内聚能;Calculation process: optimize the model, calculate the unit cell volume and total energy of Mg matrix, binary and ternary Mg-based solid solutions, and the total energy of single atoms of Mg, target elements, and additive elements, and obtain the cohesive energy of each system;
    在Mg基体的优化晶胞中,识别任意一个Mg原子的第一配位层,同时分别识别出二元和三元Mg基固溶体优化晶胞中目标元素的第一配位层,计算各体系中第一配位层内体积;分别在Mg基体、二元Mg基固溶体以及上述选取的三元Mg基固溶体优化后的晶胞中将识别出的第一配位层内原子移除,得到体系总能和第一配位层内的嵌入能;In the optimized unit cell of Mg matrix, the first coordination layer of any Mg atom was identified, and the first coordination layer of the target element in the optimized unit cell of binary and ternary Mg-based solid solution was identified respectively. The inner volume of the first coordination layer; the identified atoms in the first coordination layer are removed from the optimized unit cells of the Mg matrix, the binary Mg-based solid solution and the selected ternary Mg-based solid solution, respectively, to obtain the total system volume. energy and the intercalation energy in the first coordination layer;
    根据以上四种参数,明确添加元素导致Mg基固溶体由二元扩展至三元过程中的数值演变趋势,若添加元素导致原二元Mg基固溶体中的参数数值向Mg基体转变,则进一步计算上述选取的三元Mg基固溶体差分电子密度,最终为Mg合金 中添加元素对目标元素固溶度的调控作用实现有效预测。According to the above four parameters, the numerical evolution trend of the Mg-based solid solution from binary expansion to ternary caused by the addition of elements is clearly defined. If the addition of elements causes the parameter values in the original binary Mg-based solid solution to change to the Mg matrix, the above The selected differential electron density of the ternary Mg-based solid solution finally achieves an effective prediction for the control effect of the added elements in the Mg alloy on the solid solubility of the target element.
  9. 权利要求1所述的添加元素对目标元素固溶度调控作用的预测方法在合金设计领域中的应用。Application of the method for predicting the control effect of the additive element on the solid solubility of the target element according to claim 1 in the field of alloy design.
  10. 一种可定向调控目标元素固溶度的合金设计方法,其特征在于,包括权利要求1至8中任一项所述的添加元素对目标元素固溶度调控作用的预测方法。An alloy design method capable of directional regulation of the solid solubility of a target element, characterized in that it includes the method for predicting the regulation effect of an additive element on the solid solubility of the target element according to any one of claims 1 to 8.
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