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Pressure effect on ternary phase diagrams: Bi-Sb-Pb as a case study 压力对三元相图的影响:铋-锑-铅案例研究
IF 1.9 3区 材料科学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-10-15 DOI: 10.1016/j.calphad.2024.102759
Peleg Lider, Shir Ben Shalom, Guy Makov
Pressure can affect phase diagrams significantly, as previously demonstrated on several binary systems. However, the effect of pressure on ternary phase diagrams is mostly unexplored. In this study, a thermodynamic model of a ternary phase diagram under high pressure is formulated and applied to calculate the Bi-Sb-Pb system. The model employs binary interaction parameters and elemental thermodynamic functions to which the effect of pressure on the binary interaction parameters and elemental properties are added. The complete ternary Bi-Sb-Pb phase diagram was calculated up to a pressure of 2 GPa at selected temperatures as a case study, as this system involves three different types of binary phase diagrams: isomorphous, eutectic, and peritectic. The results show how pressure affects the stability of solid phases, leading to changes in the three-phase triangles and the four-phase equilibrium quadrilateral. This study provides insights into the pressure-dependent behavior of ternary systems and contributes to the thermodynamic understanding of ternary phase diagrams under high-pressure conditions.
压力会对相图产生重大影响,这一点已在多个二元体系中得到证实。然而,压力对三元相图的影响大多尚未得到研究。本研究建立了高压下三元相图的热力学模型,并将其应用于计算铋锑铅体系。该模型采用了二元相互作用参数和元素热力学函数,并加入了压力对二元相互作用参数和元素性质的影响。作为一个案例研究,计算了在选定温度下 2 GPa 压力下的完整三元铋锑铅相图,因为该体系涉及三种不同类型的二元相图:同构相图、共晶相图和共晶相图。研究结果表明了压力如何影响固相的稳定性,导致三相三角形和四相平衡四边形发生变化。这项研究深入揭示了三元体系随压力变化的行为,有助于从热力学角度理解高压条件下的三元相图。
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引用次数: 0
Thermodynamic study on the phase diagram of the Hg-Ca and Hg-Sr binary systems for dental amalgam restoration application 牙科汞合金修复应用中汞-钙和汞-锶二元体系相图的热力学研究
IF 1.9 3区 材料科学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-10-13 DOI: 10.1016/j.calphad.2024.102755
Wen Xia , Qian Wang , Xinyi Wang , Lili Wang , Jiansen Wen , Jian Wang , Baisheng Sa
Dental amalgam, known for its biocompatibility and ductility, is widely used in restorative materials. In dental crown restorations, studying the interactions between amalgam fillings and crown tissues, particularly the roles of calcium (Ca) and strontium (Sr), is essential for improving function stability and biocompatibility. This study conducts critical literature evaluation and thermodynamic optimization of binary systems involving mercury (Hg) with Ca and Sr, focusing specifically on their suitability for dental amalgam restoration. Using first-principles calculations (FPC), the enthalpies of formation for compounds within the Hg-Ca and Hg-Sr binary systems were calculated in this work. Thermodynamic modeling of the liquid solution employed the modified quasichemical model in the pair approximation (MQM), uncovering significant short-range ordering. Conversely, solid phases were modeled using the compound energy formalism (CEF). The incorporation of FPC proves to be a valuable and effective method, providing essential insights to complement the calculation of phase diagrams (CALPHAD) modeling approach. Ultimately, this research significantly enhances our understanding of the thermodynamic characteristics of Hg-X alloys, with notable implications for their potential application in dental amalgam restoration.
牙科汞合金以其生物相容性和延展性著称,被广泛应用于修复材料中。在牙冠修复中,研究汞合金填料与牙冠组织之间的相互作用,特别是钙(Ca)和锶(Sr)的作用,对于提高功能稳定性和生物相容性至关重要。本研究对涉及汞(Hg)与钙(Ca)和锶(Sr)的二元体系进行了重要的文献评估和热力学优化,特别关注它们在牙科汞合金修复中的适用性。通过第一原理计算(FPC),本研究计算了汞-钙和汞-锶二元体系中化合物的形成焓。液态溶液的热力学建模采用了成对近似的修正准化学模型(MQM),发现了显著的短程有序性。相反,固相模型则采用了复能形式主义(CEF)。事实证明,结合 FPC 是一种宝贵而有效的方法,为相图计算 (CALPHAD) 建模方法提供了重要的补充。最终,这项研究极大地增强了我们对 Hg-X 合金热力学特性的理解,并对其在牙科汞合金修复中的潜在应用产生了显著影响。
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引用次数: 0
Experimental investigation and thermodynamic description of the Ni-Mo-Y ternary system 镍-钼-镍三元体系的实验研究和热力学描述
IF 1.9 3区 材料科学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-09-30 DOI: 10.1016/j.calphad.2024.102739
Xinming Wang , Chen Cui , Ying Ran , Yan Liu , Ya Liu , Wei Qiu , Yu Wu , Jingxian Hu
Nickel-based superalloys are extensively utilized in aerospace engines, marine gas turbines, and other environments with severe operating conditions. The phase relations of the Ni-Mo-Y ternary system were experimentally studied across the entire composition range at 800 °C and 1000 °C using scanning electron microscopy (SEM) coupled with energy dispersive spectroscopy (EDS) and X-ray diffraction (XRD). Thirteen three-phase regions were confirmed at 800 °C, and eleven three-phase regions were observed at 1000 °C. No ternary compound was observed at these temperatures. In addition, the experimental results indicate that molybdenum (Mo) has almost no solubility in the binary compounds found in the Ni-Y binary system. Furthermore, the primary solidification phases and the solidification process of typical alloys were investigated, and three different primary solidification phases were found. Based on the experimental results, thermodynamic calculations for the Ni-Mo-Y system were performed through the CALPHAD technique. The experimental results agree well with the calculated, a set of self-consistent thermodynamic parameters for the Ni-Mo-Y ternary system was obtained in the present work.
镍基超级合金广泛应用于航空航天发动机、船用燃气轮机和其他工作条件恶劣的环境中。利用扫描电子显微镜 (SEM)、能量色散光谱 (EDS) 和 X 射线衍射 (XRD),在 800 °C 和 1000 °C 的整个成分范围内对 Ni-Mo-Y 三元体系的相关系进行了实验研究。在 800 °C 时确认了 13 个三相区域,在 1000 °C 时观察到 11 个三相区域。在这些温度下均未观察到三元化合物。此外,实验结果表明,钼(Mo)几乎不溶于镍-钇二元体系中的二元化合物。此外,还研究了典型合金的初级凝固相和凝固过程,发现了三种不同的初级凝固相。根据实验结果,通过 CALPHAD 技术对 Ni-Mo-Y 体系进行了热力学计算。实验结果与计算结果吻合良好,从而获得了一套自洽的 Ni-Mo-Y 三元体系热力学参数。
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引用次数: 0
Phase relations at 1573 K and 1673 K and thermodynamic assessment of ZrO2-SrO-BaO system ZrO2-SrO-BaO 系统在 1573 K 和 1673 K 时的相关系及热力学评估
IF 1.9 3区 材料科学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-09-28 DOI: 10.1016/j.calphad.2024.102754
Qisheng Feng , Mingrui Lv , Chenxi Liu , Guangyao Chen , Pengyue Gao , Chonghe Li
The thermodynamic database of ZrO2-SrO-BaO system was essential for the development of high-stability refractories. Thirteen samples were prepared using the solid-state reaction method to investigate the isothermal sections of ZrO2-SrO-BaO system at 1573 K and 1673 K. Four solid solution phases, (Ba, Sr)ZrO3, (Ba, Sr)2ZrO4, (Ba, Sr)3Zr2O7, and (Ba, Sr)4Zr3O10, were identified. Based on the re-assessment of SrO-BaO sub-binary system, a self-consistent thermodynamic database of ZrO2-SrO-BaO system was obtained. Calculated isothermal sections at 1573 K and 1673 K and liquidus projection showed good agreement with existing experimental data. Finally, a potential refractory (Sr0.06, Ba0.94)ZrO3 with better stability was designed using the thermodynamic database of ZrO2-SrO-BaO system.
ZrO2-SrO-BaO 系统的热力学数据库对于开发高稳定性耐火材料至关重要。采用固态反应法制备了 13 个样品,研究了 ZrO2-SrO-BaO 系统在 1573 K 和 1673 K 下的等温截面,确定了四种固溶相,即 (Ba,Sr)ZrO3、(Ba,Sr)2ZrO4、(Ba,Sr)3Zr2O7 和 (Ba,Sr)4Zr3O10。在重新评估 SrO-BaO 亚二元体系的基础上,获得了 ZrO2-SrO-BaO 体系的自洽热力学数据库。计算得出的 1573 K 和 1673 K 等温截面以及液相投影与现有实验数据显示出良好的一致性。最后,利用 ZrO2-SrO-BaO 体系的热力学数据库设计出了稳定性更好的潜在难熔(Sr0.06, Ba0.94)ZrO3。
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引用次数: 0
Thermodynamic re-assessment of the Al-Li-Zn system 铝-锂-锌体系的热力学再评估
IF 1.9 3区 材料科学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-09-28 DOI: 10.1016/j.calphad.2024.102752
Yanwen Liu, Shuhong Liu, Yong Du
Aluminum-lithium alloys are a kind of highly promising material due to low density, high strength and excellent modulus properties. The proper addition of Zn can effectively promote the precipitation of the main metastable strengthening phase δ′(Al3Li). As a crucial sub-system of Al-Li alloys, literature data on phase diagram and thermodynamic properties of the Al-Li-Zn system as well as the Al-Li and Li-Zn binary systems were comprehensively evaluated by the CALPHAD approach. The Li-Zn system was reassessed mainly by considering the newly reported data on formation enthalpy and activity and a 2-sublattice (SL) model was applied to describe the βLiZn4 phase. The Al-Li system was modified by considering AlLi2 and describing the metastable phase δ′(Al3Li) with interconvertible 4SL and 2SL ordered-disordered models. The predicted metastable fcc solvus was in perfect agreement with the measurements. Considering the available experimental data, the ternary Al-Li-Zn system was then re-optimized and a self-consistent thermodynamic description of the ternary Al-Li-Zn system was presented. The predicted metastable two-phase region of (Al)+δ’(Al3Li) in Al-Li-Zn system can be coupled with the accessible experimental data, which can be expected to well assist in designing high-strength Al-Li alloys.
铝锂合金具有低密度、高强度和优异的模量特性,是一种极具发展前景的材料。适当添加 Zn 能有效促进主要可转移强化相 δ′(Al3Li)的析出。作为铝锂合金的一个重要子系统,我们采用 CALPHAD 方法全面评估了铝锂锌体系以及铝锂和锂锌二元体系的相图和热力学性质的文献数据。主要通过考虑新报道的形成焓和活性数据对锂锌体系进行了重新评估,并应用 2 子晶格(SL)模型描述了 βLiZn4 相。通过考虑 AlLi2 并用可相互转换的 4SL 和 2SL 有序-无序模型来描述δ′(Al3Li)逸散相,对 Al-Li 系统进行了修改。预测的可逸散共晶溶解度与测量结果完全一致。考虑到现有的实验数据,对三元 Al-Li-Zn 体系进行了重新优化,并提出了三元 Al-Li-Zn 体系的自洽热力学描述。所预测的 Al-Li-Zn 系统中 (Al)+δ'(Al3Li) 的可蜕变两相区可与可获得的实验数据相结合,从而有望为设计高强度 Al-Li 合金提供很好的帮助。
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引用次数: 0
CALPHAD modeling of κ- carbide dual ordering in Fe-Al-C ternary alloys Fe-Al-C三元合金中κ-碳化物双排序的CALPHAD建模
IF 1.9 3区 材料科学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-09-28 DOI: 10.1016/j.calphad.2024.102749
Kyaw Hla Saing Chak , Julia Medvedeva , Yijia Gu
A novel four-sublattice model for the κ phase, denoted as (Fe, Al)3(Fe, Al)1(C, Va)1(C, Va)3 was proposed to improve the thermodynamic prediction, such as equilibrium composition, phase stability of κ-carbide in Fe-Al-C system. The sublattice model explains the transformation from the disordered FCC solid solution to the ordered κ-carbide via concurrent ordering of substitutional and interstitial atoms. The dual ordering model can restrict the irregular contribution of configurational entropy arising at 20 at% C composition, which is an issue with the existing thermodynamic databases. For the CALPHAD assessment, κ-carbide was considered as a single, individual phase that is in equilibrium with the liquid, austenite (γ), ferrite (α) or other intermetallic and carbide phases in the Fe-Al-C system. The formation energy calculated from density functional theory (DFT) showed that Fe3Al–L12 phase is energetically more favorable than the Fe3AlC–E21 phase, and C atoms in sublattice IV are not energetically favorable at all. The assessed parameters provided better accuracy than the existing database in the calculations of isothermal sections, liquidus projection, invariant reactions, and low-temperature phase compositions. The model is highly suitable for the low temperature (<800 °C) phase predictions. Thus, the improved Fe-Al-C model lays the foundation for the thermodynamic and kinetic studies of κ-carbide for designing new Fe-Mn-Al-C alloys and optimizing the heat treatment processes.
为了改进热力学预测,如平衡组成、Fe-Al-C 体系中κ-碳化物的相稳定性,提出了一种新的κ相四亚晶格模型,即 (Fe, Al)3(Fe, Al)1(C, Va)1(C, Va)3 。亚晶格模型解释了通过取代原子和间隙原子的同时有序化,从无序的 FCC 固溶体转变为有序的κ-碳化物的过程。双有序模型可以限制在 20 at% C 成分时产生的构型熵的不规则贡献,而这正是现有热力学数据库的一个问题。在进行 CALPHAD 评估时,κ-碳化物被视为与液体、奥氏体 (γ)、铁素体 (α)或 Fe-Al-C 体系中其他金属间相和碳化物相平衡的单一单相。密度泛函理论(DFT)计算的形成能表明,Fe3Al-L12 相比 Fe3AlC-E21 相在能量上更有利,而亚晶格 IV 中的 C 原子在能量上完全不利。在等温截面、液相投影、不变反应和低温相组成的计算中,所评估的参数比现有数据库提供了更好的精度。该模型非常适合低温(800 °C)相预测。因此,改进后的 Fe-Al-C 模型为κ-碳化物的热力学和动力学研究奠定了基础,有助于设计新的 Fe-Mn-Al-C 合金和优化热处理工艺。
{"title":"CALPHAD modeling of κ- carbide dual ordering in Fe-Al-C ternary alloys","authors":"Kyaw Hla Saing Chak ,&nbsp;Julia Medvedeva ,&nbsp;Yijia Gu","doi":"10.1016/j.calphad.2024.102749","DOIUrl":"10.1016/j.calphad.2024.102749","url":null,"abstract":"<div><div>A novel four-sublattice model for the <span><math><mrow><mi>κ</mi></mrow></math></span> phase, denoted as (Fe, Al)<sub>3</sub>(Fe, Al)<sub>1</sub>(C, Va)<sub>1</sub>(C, Va)<sub>3</sub> was proposed to improve the thermodynamic prediction, such as equilibrium composition, phase stability of <span><math><mrow><mi>κ</mi></mrow></math></span>-carbide in Fe-Al-C system. The sublattice model explains the transformation from the disordered FCC solid solution to the ordered <span><math><mrow><mi>κ</mi></mrow></math></span>-carbide via concurrent ordering of substitutional and interstitial atoms. The dual ordering model can restrict the irregular contribution of configurational entropy arising at 20 at% C composition, which is an issue with the existing thermodynamic databases. For the CALPHAD assessment, <span><math><mrow><mi>κ</mi></mrow></math></span>-carbide was considered as a single, individual phase that is in equilibrium with the liquid, austenite (<span><math><mrow><mi>γ</mi></mrow></math></span>), ferrite (<span><math><mrow><mi>α</mi></mrow></math></span>) or other intermetallic and carbide phases in the Fe-Al-C system. The formation energy calculated from density functional theory (DFT) showed that Fe<sub>3</sub>Al–L1<sub>2</sub> phase is energetically more favorable than the Fe<sub>3</sub>AlC–E2<sub>1</sub> phase, and C atoms in sublattice <em>IV</em> are not energetically favorable at all. The assessed parameters provided better accuracy than the existing database in the calculations of isothermal sections, liquidus projection, invariant reactions, and low-temperature phase compositions. The model is highly suitable for the low temperature (&lt;800 °C) phase predictions. Thus, the improved Fe-Al-C model lays the foundation for the thermodynamic and kinetic studies of <span><math><mrow><mi>κ</mi></mrow></math></span>-carbide for designing new Fe-Mn-Al-C alloys and optimizing the heat treatment processes.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"87 ","pages":"Article 102749"},"PeriodicalIF":1.9,"publicationDate":"2024-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142357445","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modified embedded-atom method interatomic potentials for the V-X (X= Cr, Fe) binary and CoCrFeNiTiV multinary alloys V-X(X= Cr,Fe)二元合金和 CoCrFeNiTiV 多元合金的修正嵌入原子法原子间位势
IF 1.9 3区 材料科学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-09-27 DOI: 10.1016/j.calphad.2024.102753
Ahmad Ostovari Moghaddam , Rahele Fereidonnejad , Dmitry Mikhailov , Mohammad Moaddeli , Evgeny Trofimov
Interatomic potentials based on the second nearest-neighbor modified embedded-atom method (2NN-MEAM) have been developed for Fe-V and Cr-V binary alloys. The structural, mechanical and thermodynamic properties of various stable and metastable phases in Fe-V and Cr-V binary systems were calculated by molecular dynamic (MD) simulation using the developed 2NN-MEAM potentials. A good consistency between the MD-calculated data and the experimental data or first-principles calculations was obtained. The potentials were further employed to predict several chemically complex intermetallic alloys (CCIAs) with stable B2 and L12 ordered structures in CoCrFeNiTiV system. Finally, this work pave the way to investigate the atomic scale physical metallurgy of V-containing and chemically complex intermetallic alloys and adjust their composition and microstructure to meet the specific requirements entailed in advanced applications.
针对铁-V 和铬-V 二元合金开发了基于第二近邻修正嵌入原子法(2NN-MEAM)的原子间位势。利用所开发的 2NN-MEAM 电位,通过分子动力学(MD)模拟计算了 Fe-V 和 Cr-V 二元合金体系中各种稳定相和蜕变相的结构、机械和热力学性质。MD 计算数据与实验数据或第一原理计算结果具有良好的一致性。该势垒还被进一步用于预测 CoCrFeNiTiV 体系中具有稳定 B2 和 L12 有序结构的几种化学复杂金属间合金(CCIAs)。最后,这项工作为研究含 V 和化学复杂金属间合金的原子尺度物理冶金学以及调整其成分和微观结构以满足先进应用的特定要求铺平了道路。
{"title":"Modified embedded-atom method interatomic potentials for the V-X (X= Cr, Fe) binary and CoCrFeNiTiV multinary alloys","authors":"Ahmad Ostovari Moghaddam ,&nbsp;Rahele Fereidonnejad ,&nbsp;Dmitry Mikhailov ,&nbsp;Mohammad Moaddeli ,&nbsp;Evgeny Trofimov","doi":"10.1016/j.calphad.2024.102753","DOIUrl":"10.1016/j.calphad.2024.102753","url":null,"abstract":"<div><div>Interatomic potentials based on the second nearest-neighbor modified embedded-atom method (2NN-MEAM) have been developed for Fe-V and Cr-V binary alloys. The structural, mechanical and thermodynamic properties of various stable and metastable phases in Fe-V and Cr-V binary systems were calculated by molecular dynamic (MD) simulation using the developed 2NN-MEAM potentials. A good consistency between the MD-calculated data and the experimental data or first-principles calculations was obtained. The potentials were further employed to predict several chemically complex intermetallic alloys (CCIAs) with stable B2 and L1<sub>2</sub> ordered structures in CoCrFeNiTiV system. Finally, this work pave the way to investigate the atomic scale physical metallurgy of V-containing and chemically complex intermetallic alloys and adjust their composition and microstructure to meet the specific requirements entailed in advanced applications.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"87 ","pages":"Article 102753"},"PeriodicalIF":1.9,"publicationDate":"2024-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142327049","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Thermodynamic assessment of the Ce-Rh system by the combination of ab-initio calculations and the CALPHAD approach 结合模拟计算和 CALPHAD 方法对 Ce-Rh 系统进行热力学评估
IF 1.9 3区 材料科学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-09-26 DOI: 10.1016/j.calphad.2024.102747
H. Bouchta , N. Selhaoui , D.O. Poletaev , M.A. Boukideur , A. Bendarma , S. Kardellass , A. Marjaoui , M. Zanouni , A. Khadija
The standard enthalpies of formation in this work have been measured calculated by First -principles calculations within DFT (density functional theory) for the metal compounds in the Ce-Rh system. Thermodynamic data and phase diagram information obtained from the literature were used as the input for a CALPHAD-type optimization and Thermo-Calc software of the Ce-Rh.
The Ce-Rh phase diagram contains seven intermetallic compounds: Ce7Rh3, Ce5Rh3, Ce3Rh2, Ce5Rh4, CeRh, CeRh2 and CeRh3. All these phases were stoichiometric; The associated model concerning the phase equilibria, could accurately describe the full compositional range and the thermodynamic data input with CeRh as associate. The thermodynamic parameters of all intermetallic compounds were modeled by the Neumann-Kopp principle. The value of the temperature-dependent contributions to the individual Gibbs energies was used for all compounds. A fairly good agreement with all values of the enthalpies of formation calculated in this work using the VASP and data available in the literature. ultimately, a set of self-consistent thermodynamic parameters for the Ce-Rh system was obtained.
本研究中的标准形成焓是通过 DFT(密度泛函理论)第一性原理计算得出的,适用于 Ce-Rh 系统中的金属化合物。从文献中获得的热力学数据和相图信息被用作 Ce-Rh 的 CALPHAD 类型优化和 Thermo-Calc 软件的输入:Ce-Rh 相图包含七种金属间化合物:Ce7Rh3、Ce5Rh3、Ce3Rh2、Ce5Rh4、CeRh、CeRh2 和 CeRh3。所有这些相都是化学计量的;有关相平衡的相关模型可以准确地描述全部成分范围和以 CeRh 为关联物输入的热力学数据。所有金属间化合物的热力学参数都是根据 Neumann-Kopp 原理建模的。所有化合物都采用了各吉布斯能随温度变化的贡献值。最终,获得了一套自洽的 Ce-Rh 系统热力学参数。
{"title":"Thermodynamic assessment of the Ce-Rh system by the combination of ab-initio calculations and the CALPHAD approach","authors":"H. Bouchta ,&nbsp;N. Selhaoui ,&nbsp;D.O. Poletaev ,&nbsp;M.A. Boukideur ,&nbsp;A. Bendarma ,&nbsp;S. Kardellass ,&nbsp;A. Marjaoui ,&nbsp;M. Zanouni ,&nbsp;A. Khadija","doi":"10.1016/j.calphad.2024.102747","DOIUrl":"10.1016/j.calphad.2024.102747","url":null,"abstract":"<div><div>The standard enthalpies of formation in this work have been <del>measured</del> calculated by First -principles calculations within DFT (density functional theory) for the metal compounds in the Ce-Rh system. Thermodynamic data and phase diagram information obtained from the literature were used as the input for a CALPHAD-type optimization and Thermo-Calc software of the Ce-Rh.</div><div>The Ce-Rh phase diagram contains seven intermetallic compounds: <span><math><mrow><msub><mrow><mi>C</mi><mi>e</mi></mrow><mn>7</mn></msub><msub><mrow><mi>R</mi><mi>h</mi></mrow><mn>3</mn></msub></mrow></math></span>, <span><math><mrow><msub><mrow><mi>C</mi><mi>e</mi></mrow><mn>5</mn></msub><msub><mrow><mi>R</mi><mi>h</mi></mrow><mn>3</mn></msub></mrow></math></span>, <span><math><mrow><msub><mrow><mi>C</mi><mi>e</mi></mrow><mn>3</mn></msub><msub><mrow><mi>R</mi><mi>h</mi></mrow><mn>2</mn></msub></mrow></math></span>, <span><math><mrow><msub><mrow><mi>C</mi><mi>e</mi></mrow><mn>5</mn></msub><msub><mrow><mi>R</mi><mi>h</mi></mrow><mn>4</mn></msub></mrow></math></span>, <span><math><mrow><mi>C</mi><mi>e</mi><mi>R</mi><mi>h</mi></mrow></math></span>, <span><math><mrow><mi>C</mi><mi>e</mi><msub><mrow><mi>R</mi><mi>h</mi></mrow><mn>2</mn></msub></mrow></math></span> and <span><math><mrow><mi>C</mi><mi>e</mi><msub><mrow><mi>R</mi><mi>h</mi></mrow><mn>3</mn></msub></mrow></math></span>. All these phases were stoichiometric; The associated model concerning the phase equilibria, could accurately describe the full compositional range and the thermodynamic data input with <span><math><mrow><mi>C</mi><mi>e</mi><mi>R</mi><mi>h</mi></mrow></math></span> as associate. The thermodynamic parameters of all intermetallic compounds were modeled by the Neumann-Kopp principle. The value of the temperature-dependent contributions to the individual Gibbs energies was used for all compounds. A fairly good agreement with all values of the enthalpies of formation calculated in this work using the VASP and data available in the literature. ultimately, a set of self-consistent thermodynamic parameters for the Ce-Rh system was obtained.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"87 ","pages":"Article 102747"},"PeriodicalIF":1.9,"publicationDate":"2024-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142323374","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Data-driven study of the enthalpy of mixing in the liquid phase 液相混合焓的数据驱动研究
IF 1.9 3区 材料科学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-09-25 DOI: 10.1016/j.calphad.2024.102745
Guillaume Deffrennes , Bengt Hallstedt , Taichi Abe , Quentin Bizot , Evelyne Fischer , Jean-Marc Joubert , Kei Terayama , Ryo Tamura
The enthalpy of mixing in the liquid phase is a thermodynamic property reflecting interactions between elements that is key to predict phase transformations. Widely used models exist to predict it, but they have never been systematically evaluated. To address this, we collect a large amount of enthalpy of mixing data in binary liquids from a review of about 1000 thermodynamic evaluations. This allows us to clarify the prediction accuracy of Miedema's model which is state-of-the-art. We show that more accurate predictions can be obtained from a machine learning model based on LightGBM, and we provide them in 2415 binary systems. The data we collect also allows us to evaluate another empirical model to predict the excess heat capacity that we apply to 2211 binary liquids. We then extend the data collection to ternary metallic liquids and find that, when mixing is exothermic, extrapolations from the binary systems by Muggianu's model systematically lead to slight overestimations of roughly 10 % close to the equimolar composition. Therefore, our LightGBM model can provide reasonable estimates for ternary alloys and, by extension, for multicomponent alloys. Our findings extracted from rich datasets can be used to feed thermodynamic, empirical and machine learning models for material development. Our data, predictions, and code to generate machine learning descriptors from thermodynamic properties are all made available.
液相混合焓是一种反映元素间相互作用的热力学性质,是预测相变的关键。目前已有广泛使用的模型来预测它,但从未对它们进行过系统评估。为了解决这个问题,我们从大约 1000 次热力学评估中收集了大量二元液体的混合焓数据。这使我们能够明确目前最先进的 Miedema 模型的预测精度。我们表明,基于 LightGBM 的机器学习模型可以获得更准确的预测结果,我们还提供了 2415 个二元体系的预测结果。我们收集的数据还允许我们对另一个预测过剩热容量的经验模型进行评估,该模型适用于 2211 种二元液体。然后,我们将数据收集扩展到三元金属液体,并发现当混合放热时,根据 Muggianu 模型从二元系统推断出的结果会在接近等摩尔组成时略微高估约 10%。因此,我们的 LightGBM 模型可以为三元合金提供合理的估计值,进而为多组分合金提供合理的估计值。我们从丰富的数据集中提取的研究结果可用于为材料开发的热力学、经验和机器学习模型提供支持。我们的数据、预测以及从热力学特性生成机器学习描述符的代码均已公布。
{"title":"Data-driven study of the enthalpy of mixing in the liquid phase","authors":"Guillaume Deffrennes ,&nbsp;Bengt Hallstedt ,&nbsp;Taichi Abe ,&nbsp;Quentin Bizot ,&nbsp;Evelyne Fischer ,&nbsp;Jean-Marc Joubert ,&nbsp;Kei Terayama ,&nbsp;Ryo Tamura","doi":"10.1016/j.calphad.2024.102745","DOIUrl":"10.1016/j.calphad.2024.102745","url":null,"abstract":"<div><div>The enthalpy of mixing in the liquid phase is a thermodynamic property reflecting interactions between elements that is key to predict phase transformations. Widely used models exist to predict it, but they have never been systematically evaluated. To address this, we collect a large amount of enthalpy of mixing data in binary liquids from a review of about 1000 thermodynamic evaluations. This allows us to clarify the prediction accuracy of Miedema's model which is state-of-the-art. We show that more accurate predictions can be obtained from a machine learning model based on LightGBM, and we provide them in 2415 binary systems. The data we collect also allows us to evaluate another empirical model to predict the excess heat capacity that we apply to 2211 binary liquids. We then extend the data collection to ternary metallic liquids and find that, when mixing is exothermic, extrapolations from the binary systems by Muggianu's model systematically lead to slight overestimations of roughly 10 % close to the equimolar composition. Therefore, our LightGBM model can provide reasonable estimates for ternary alloys and, by extension, for multicomponent alloys. Our findings extracted from rich datasets can be used to feed thermodynamic, empirical and machine learning models for material development. Our data, predictions, and code to generate machine learning descriptors from thermodynamic properties are all made available.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"87 ","pages":"Article 102745"},"PeriodicalIF":1.9,"publicationDate":"2024-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0364591624000877/pdfft?md5=df19fdf9c38bb676b03998398a380d44&pid=1-s2.0-S0364591624000877-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142314923","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Vaporisation thermodynamic studies over and biphasic regions of U-Sn system using high temperature mass spectrometry 利用高温质谱法对铀-硒体系的蒸发热力学和双相区进行研究
IF 1.9 3区 材料科学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-09-24 DOI: 10.1016/j.calphad.2024.102751
V. Venkata Trinadh , P. Manikandan , Suranjan Bera , C.V.S. Brahmananda Rao
High-temperature vaporisation thermodynamic studies over <U3Sn7(cr) + USn2(cr)> and <USn2(cr) + USn(cr)> two-phase regions were carried out by employing Knudsen Effusion Mass Spectrometry (KEMS) in the temperature range 1148–1465 and 1222–1471 K, respectively. Sn(g) was the only species observed in the mass spectra of the equilibrium vapour phase over both the biphasic regions. The partial pressure-temperature relations of Sn(g) were deduced as
log(pSn/Pa) = (−15,737 ± 73)/(T/K)) + (9.52 ± 0.06) (1148–1465 K) <U3Sn7(cr) + USn2(cr)> and
log(pSn/Pa) = (−16,151 ± 67)/(T/K)) + (9.70 ± 0.05) (1222–1471 K) <USn2(cr) + USn(cr)>
Using p-T relations, the enthalpies of the following heterogeneous reaction equilibria were evaluated by the second law method: U3Sn7(cr) = 3USn2(cr) + Sn(g) and USn2(cr) = USn(cr) + Sn(g). Subsequently, the Gibbs energies of the formation of U3Sn7(cr) and USn2(cr) were derived. Knudsen effusion mass spectrometric studies over these two biphasic regions are being reported for the first time.
在 1148-1465 K 和 1222-1471 K 温度范围内,分别采用克努森喷射质谱法(KEMS)对 <U3Sn7(cr)+USn2(cr)>和 <USn2(cr)+USn(cr)>两相区进行了高温汽化热力学研究。在这两个双相区的平衡气相质谱中,Sn(g) 是唯一被观测到的物种。Sn(g) 的分压-温度关系推导为:log(pSn/Pa) = (-15,737 ± 73)/(T/K))+ (9.52 ± 0.06) (1148-1465 K) <U3Sn7(cr) + USn2(cr)> andlog(pSn/Pa) = (-16,151 ± 67)/(T/K))+ (9.70 ± 0.05) (1222-1471 K) <USn2(cr)+USn(cr)>利用 p-T 关系,用第二定律法评估了下列异相反应平衡焓:U3Sn7(cr) = 3USn2(cr) + Sn(g) 和 USn2(cr) = USn(cr) + Sn(g)。随后,得出了形成 U3Sn7(cr) 和 USn2(cr) 的吉布斯能。对这两个双相区域的努森流出质谱研究是首次报道。
{"title":"Vaporisation thermodynamic studies over <U3Sn7(cr) + USn2(cr)> and <USn2(cr) + USn(cr)> biphasic regions of U-Sn system using high temperature mass spectrometry","authors":"V. Venkata Trinadh ,&nbsp;P. Manikandan ,&nbsp;Suranjan Bera ,&nbsp;C.V.S. Brahmananda Rao","doi":"10.1016/j.calphad.2024.102751","DOIUrl":"10.1016/j.calphad.2024.102751","url":null,"abstract":"<div><div>High-temperature vaporisation thermodynamic studies over &lt;U<sub>3</sub>Sn<sub>7</sub>(cr) + USn<sub>2</sub>(cr)&gt; and &lt;USn<sub>2</sub>(cr) + USn(cr)&gt; two-phase regions were carried out by employing Knudsen Effusion Mass Spectrometry (KEMS) in the temperature range 1148–1465 and 1222–1471 K, respectively. Sn(g) was the only species observed in the mass spectra of the equilibrium vapour phase over both the biphasic regions. The partial pressure-temperature relations of Sn(g) were deduced as</div><div>log(p<sub>Sn</sub>/Pa) = (−15,737 ± 73)/(T/K)) + (9.52 ± 0.06) (1148–1465 K) &lt;U<sub>3</sub>Sn<sub>7</sub>(cr) + USn<sub>2</sub>(cr)&gt; and</div><div>log(p<sub>Sn</sub>/Pa) = (−16,151 ± 67)/(T/K)) + (9.70 ± 0.05) (1222–1471 K) &lt;USn<sub>2</sub>(cr) + USn(cr)&gt;</div><div>Using p-T relations, the enthalpies of the following heterogeneous reaction equilibria were evaluated by the second law method: U<sub>3</sub>Sn<sub>7</sub>(cr) = 3USn<sub>2</sub>(cr) + Sn(g) and USn<sub>2</sub>(cr) = USn(cr) + Sn(g). Subsequently, the Gibbs energies of the formation of U<sub>3</sub>Sn<sub>7</sub>(cr) and USn<sub>2</sub>(cr) were derived. Knudsen effusion mass spectrometric studies over these two biphasic regions are being reported for the first time.</div></div>","PeriodicalId":9436,"journal":{"name":"Calphad-computer Coupling of Phase Diagrams and Thermochemistry","volume":"87 ","pages":"Article 102751"},"PeriodicalIF":1.9,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142314922","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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Calphad-computer Coupling of Phase Diagrams and Thermochemistry
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