Mo-RE二元合金相图的热力学数据库

利用CALPHAD方法,选择和建立合理的热力学模型,并结合相平衡及热力学性质的相关实验信息,对Mo-RE (RE: Ce, Pr, Nd, Sm, Eu, Tb, Ho, Er, Tm, Yb, Lu)各二元系相图进行了热力学优化与计算。其中,液相和端际固溶体相的Gibbs自由能采用亚正规溶体模型描述,气相的Gibbs自由能采用理想气体模型描述。计算结果与实验数据取得了良好的一致性,最终得到了一组自洽的合理描述Mo-RE二元系各相自由能的热力学参数,建立了Mo-RE (RE: Ce, Pr, Nd, Sm, Eu, Tb, Ho, Er, Tm, Yb, Lu)二元合金相图的热力学数据库。该热力学数据库可以提供相平衡及热力学性质等多种信息,为外推计算三元以及更多组元体系的相平衡提供理论基础,并为相关体系的合金设计及制备提供重要的理论指导。     

Fe-Ti二元体系的热力学重新优化(英文)

为提高Fe-Ti二元系外推到三元或多元体系的能力,应用CALPHAD方法重新优化了该二元系。与前人的优化工作相比,重点放在对两个二元金属间化合物Fe2Ti和FeTi的热力学描述上。因目前普遍采用双亚点阵模型来描述C14_Laves相,所以采用双亚点阵模型来描述Fe2Ti相。通过检验包含Fe-Ti二元系的三元体系Fe-Ti边界上Fe2Ti相的均匀化范围进一步证实了Fe2Ti相的相边界。FeTi相具有BCC_B2晶体结构,因而将其处理成为BCC_A2相的有序相,并且用统一的Gibbs 能函数来描述有序和无序相。另外一个特别关注的方面就是重现这两个化合物的实测热容。计算结果与有关相图和热力学性质实验结果的广泛对比显示两者符合得很好,从而证明了所得热力学描述的有效性。     

高性能铜合金热力学数据库的开发及其在材料设计中的应用

利用相图计算(CALPHAD)方法,采用亚规则溶体模型描述溶体相的吉布斯自由能,采用亚点阵模型描述金属间化合物和有序相的吉布斯自由能,并结合相平衡和热力学性质的实验数据,优化与计算Cu-X二元系以及Cu-Fe、Cu-Ni、Cu-Cr、Cu-Co、Cu-Mo和Cu-W基各三元系的相图,获得自洽性良好的热力学参数,并建立铜合金热力学数据库。该数据库可以提供稳定和亚稳的相图计算、相分数计算、液相面计算、热力学性质的计算等多种信息,为外推计算铜基多元合金系的相平衡提供理论基础,并为高性能铜合金材料的设计及制备提供重要的理论指导。     

热力学优化Bi-Ni二元系

基于文献报导的实验数据,采用相图计算（CALPHAD）方法,热力学优化了Bi-Ni二元系相图。该二元系的液相、fcc_A1（Ni）相和rhombohedral_A7（Bi）相用替换溶液模型来描述,其过剩吉布斯自由能用Redlich-Kister多项式来表达。考虑到晶体结构（NiAs型）以及与多组元体系热力学数据库的兼容性,中间化合物BiNi相采用亚点阵模型：（Bi）（Ni,Va）（Ni,Va）;Bi3Ni相处理为化学计量比化合物。最后,通过优化该二元系实测的相图和热力学数据,获得一组能够表达各相吉布斯自由能的自洽的热力学参数。根据这些热力学参数计算的相图和热力学数据与报导的实验数据吻合良好。     

Ir-Pt二元相图的优化计算

利用Pandat相平衡热力学计算软件优化和计算了Ir-Pt二元相图。采用SGTE(Science Group Thermodata Europe)数据库中的表达式描述纯组元(Ir和Pt)的Gibbs自由能,采用固溶体相热力学模型描述Ir-Pt二元体系中的液相和固溶体相。利用Pandat中的PanOptimizer优化平台,并结合最新的相关数据,对Ir-Pt二元体系中各相的参数进行了优化,优化得到了Ir-Pt二元体系中各相的热力学参数。利用优化的热力学参数对Ir-Pt二元合金相图进行了计算,计算得到的相图表明调幅分解的临界点为995℃、50%Ir(摩尔分数)左右,与SGTE贵金属合金数据库所提出的Ir-Pt二元体系在相图和热力学数据上都较为吻合。     

Co-Cr-W三元系相平衡的热力学计算

用CALPHAD方法评估了Co-Cr-W三元系,计算了1000,1200和1350℃的相平衡。采用亚正规溶体模型描述了液相,fcc相,bcc相和hcp相。σ相,μ相,R相分别用模型（Co,W）8（Cr,W）4（Co,Cr,W）18,（Co,Cr,W）7W2（Co,Cr,W）4和（Co,W）27（Cr,W）14（Co,Cr,W）12来表示;得到了自洽的热力学相互作用参数。计算的1000,1200和1350℃的相图与实验数据吻合。     

AuCu_3-亚格子系统的合金基因Gibbs能配分函数和平衡全息网络相图(英文)

以AuCu3-亚格子系统为例,介绍3项发现:第一,迄今阻碍金属材料科学进步的第三大障碍是研究者们习惯用平衡均匀转变的思维方式认识温度极其缓慢变化的合金相变实验现象,然后以实验现象的错误认识为选择信息,建立Gibbs能函数和所谓的"平衡相图";第二,AuCu3-型亚格子系统的平衡全息网络相图可用来描述与成分和温度有关的合金基因排列结构和各种热力学性质的系统相关性;第三,每个合金的平衡转变都是均匀的单相转变,不是非均匀的双相转变,存在一条没有有序相和无序相共存区的单相相界线,相界线顶点成分和温度远偏离AuCu3化合物临界点的计量成分和温度。     

AuCu3-亚格子系统的合金基因Gibbs能配分函数和平衡全息网络相图（英文）

以AuCu3-亚格子系统为例,介绍3项发现:第一,迄今阻碍金属材料科学进步的第三大障碍是研究者们习惯用平衡均匀转变的思维方式认识温度极其缓慢变化的合金相变实验现象,然后以实验现象的错误认识为选择信息,建立Gibbs能函数和所谓的"平衡相图";第二,AuCu3-型亚格子系统的平衡全息网络相图可用来描述与成分和温度有关的合金基因排列结构和各种热力学性质的系统相关性;第三,每个合金的平衡转变都是均匀的单相转变,不是非均匀的双相转变,存在一条没有有序相和无序相共存区的单相相界线,相界线顶点成分和温度远偏离AuCu3化合物临界点的计量成分和温度。     

三元熔盐系NaCl-CaCl_2-SrCl_2的热力学性质和相图的计算机计算

本文利用 CaCl-SrCl_2相图中,固相有一个溶解间断区(miscibility gap)的信息,用亚正规溶液模型计算了该二元系液相和固相的 Gibbs 自由能.运用 Toop方程的变通式即最近 Hillert.M.提出的新的非对称方法,由组成 NaCl-CaCl_2-SrCl_2三元系的二元系热力学性质预示了该三元系液相的 Gibbs 自由能,进而用计算机计算了三元液相中各组元的偏克分子 Gibbs 自由能和活度系数.由三元液相中组元 NaCl,CaCl_2和 SrCl_2的过剩偏克分子 Gibbs 自由能,根据相平衡原理,用计算机计算了该三元系的相图.计算结果对于钠电解的实践和盐湖资源的综合利用有实际意义.亚正规溶液模型和新的非对称方法可望适合于计算一系列有潜在重要性的电荷不对称熔盐体系的相图.如对 Na,Ti,Mg,Ce 电解及熔融氯化脱水制取无水氯化镁有实际意义的 NaCl-CaCl_2-BaCl_2,NaCl-SrCl_2-BaCl_2,NaCl-CaCl_2-MgCl_2,KCl-CaCl_2-MgCl_2,KCl-NaCl-CeCl_3等三元相图.     

Mg-Pr二元体系热力学优化（3）

相图热力学优化是材料设计理论和方法最重要的组成部分，是新材料的开发和应用的重要依据之一。相图计算即CALPHAD技术，主要是依据化学热力学原理和基本关系，计算热力学体系的平衡性质。一个物质体系的热力学特征函数确定以后，这个物质体系的全部热力学性质都可以计算出来，其中包括相图。镁合金是最轻的一种金属结构材料，广泛应用于航空航天、汽车、电子工业等许多领域。镁-镨合金作为镁合金的一种，也具有非常广阔的应用前景。本工作采用瑞典皇家工学院开发的相平衡计算软件Thermo-Calc系统，利用CALPHAD技术，通过选择或建立合理的热力学模型，将相图和热力学数据联系起来，对镁-镨二元合金体系相图和热力学数据进行热力学优化和评估，获得自洽的Mg-Pr体系的热力学描述即体系中所有物相，包括溶体相和金属间化合物的Gibbs自由能，为相关材料的设计和工艺制定服务。     

Thermodynamic assessments of the Cu–Th and Mo–Th systems

The thermodynamic assessments of the Cu–Th and Mo–Th binary systems were carried out by using Calculation of Phase Diagrams (CALPHAD) method on the basis of the experimental data including the thermodynamic properties and phase equilibria. The Gibbs free energies of the liquid, bcc, and fcc phases are described by the subregular solution model with the Redlich–Kister equation and those of the four intermetallic compounds Cu₆Th, Cu_3.6Th, Cu₂Th and CuTh₂ in the Cu–Th binary system were described by the sublattice model. A set of self-consistent thermodynamic parameters are obtained, and the calculated phase diagrams and thermodynamic properties are presented and compared with the experimental data from literatures. The calculated thermodynamic properties as well as phase diagrams are in good agreement with the experimental data.     

Thermodynamic modeling of the Ce–Zn and Pr–Zn systems

In order to develop the thermodynamic database of phase equilibria in the Mg–Zn–Re (Re: rare earth element) base alloys, the thermodynamic assessments of the Ce–Zn and Pr–Zn systems were carried out by using the calculation of phase diagrams (CALPHAD) method on the basis of the experimental data including thermodynamic properties and phase equilibria. Based on the available experimental data, Gibbs free energies of the solution phases (liquid, bcc, fcc, hcp and dhcp) were modeled by the subregular solution model with the Redlich–Kister formula, and those of the intermetallic compounds were described by the sublattice model. A consistent set of thermodynamic parameters has been derived for describing the Gibbs free energies of each solution phase and intermetallic compound in the Ce–Zn and Pr–Zn binary systems. An agreement between the present calculated results and experimental data is obtained.     

Thermodynamic Assessment of the Ti-Ir System

The thermodynamic assessment of the binary system Ti-Ir has been carried out by modeling the Gibbs energy of all individual phases using the calculation of phase diagrams approach based on the available literature data including the phase equilibria and thermodynamic properties. The Gibbs free energies of the liquid, bcc, fcc and hcp phases were described by the subregular solution model with Redlich-Kister formula, and those of the intermetallic compounds (Ti₃Ir, γTiIr, βTiIr and TiIr₃) in the Ti-Ir binary system were described by the two-sublattice model. The calculations are in good agreement with the literature data on both phase equilibria and thermodynamic properties in the Ti-Ir system.     

Thermodynamic database of the phase diagrams in Cu-Fe base ternary systems

A thermodynamic database of the Cu-Fe-X [X: aluminum (Al), cobalt (Co), chromium (Cr), manganese (Mn), molybdenum (Mo), niobium (Nb), nickel (Ni), vanadium (V)] systems was developed by the CALPHAD (Calculation of Phase Diagrams) method, where the Gibbs energies of solution phases such as the liquid, face-centered-cubic (fcc), body-centered-cubic (bcc), and hexagonal-close-packed (hcp) phases are described by the subregular solution model, while the those of the bcc phase in the Cu-Fe-Al system and of all compounds are described by the sublattice model. The thermodynamic parameters describing Gibbs energies of the different phases in this database were evaluated by fitting the experimental data for phase equilibria and thermodynamic properties. On the basis of this database, much information concerning stable and metastable phase equilibria of isothermal and vertical sections, molar fractions of constituent phases, the liquidus projection, etc., can be predicted. This database is expected to play an important role in the design of Cu-Fe base alloys.     

Thermodynamic assessment of the phase diagrams of the Cu-Sb and Sb-Zn systems

Thermodynamic assessments have been made for the Cu-Sb and Sb-Zn binary systems by means of the CALPHAD technique. The Gibbs energies of the liquid, bcc, and fcc phases are described by a substitution solution model and a Redlich-Kister formalism. All of the compounds were treated as stoichiometric compounds. Moreover, the liquidus temperatures of the Zn-rich portion in the Sb-Zn system were measured to check the unusual shape reported by previous work. It was confirmed that the liquidus line is not peculiar but smooth. A consistent set of the thermodynamic parameters was optimized to obtain a better fit between calculated results and experimental data including phase diagram and thermodynamic quantities.     

Thermodynamic assessment of the phase diagrams of the Cu-Sb and Sb-Zn systems

Thermodynamic assessments have been made for the Cu-Sb and Sb-Zn binary systems by means of the CALPHAD technique. The Gibbs energies of the liquid, bcc, and fcc phases are described by a substitution solution model and a Redlich-Kister formalism. All of the compounds were treated as stoichiometric compounds. Moreover, the liquidus temperatures of the Zn-rich portion in the Sb-Zn system were measured to check the unusual shape reported by previous work. It was confirmed that the liquidus line is not peculiar but smooth. A consistent set of the thermodynamic parameters was optimized to obtain a better fit between calculated results and experimental data including phase diagram and thermodynamic quantities.     

Thermodynamic Assessment of the Al-Ba System

The Al-Ba was thermodynamically optimized with the help of CALPHAD method. The solution phases such as liquid, fcc and bcc phases were modeled as substitutional solution phases. The excess Gibbs energies of these phases were treated with Redlich-Kister polynomial functions. A set of self-consistent thermodynamic parameters for describing various phases in the Al-Ba system was obtained, which can well reproduce the corresponding experimental data. The Al-Ba-Ni ternary system were also extrapolated based on the present binary system.     

Thermodynamic database of the phase diagrams in the Mg-Al-Zn-Y-Ce system

The Mg-Al-Zn-Y-Ce system is one of the key systems for designing high-strength Mg alloys. The purpose of the present article is to develop a thermodynamic database for the Mg-Al-Zn-Y-Ce multicomponent system to design Mg alloys using the calculation of phase diagrams （CALPHAD） method, where the Gibbs energies of solution phases such as liquid, fcc, bcc, and hcp phases were described by the subregular solution model, whereas those of all the compounds were described by the sublattice model. The thermodynamic parameters describing Gibbs energies of the different phases in this database were evaluated by fitting the experimental data for phase equilibria and thermodynamic properties. On the basis of this database, a lot of information concerning stable and metastable phase equilibria of isothermal and vertical sections, molar fractions of constituent phases, the liquidus projection, etc., can be predicted. This database is expected to play an important role in the design of Mg alloys.