J. V. Luiz, N. Chaia, A. A. A. P. Silva, C. A. Nunes, G. C. Coelho
{"title":"Liquidus Projection of the Cr-Nb-V System","authors":"J. V. Luiz, N. Chaia, A. A. A. P. Silva, C. A. Nunes, G. C. Coelho","doi":"10.1007/s11669-026-01228-4","DOIUrl":"10.1007/s11669-026-01228-4","url":null,"abstract":"<div><p>Phase equilibria in the Cr-Nb-V system have an important role in the development of new materials for future aerospace applications. However, the available data on this system remains limited. Therefore, this work proposes, for the first time, a <i>liquidus</i> projection based on the microstructural characterization of as-cast alloys. A total of twenty-seven alloys were produced and their microstructures characterized by using scanning electron microscopy (SEM) to observe the phase morphology, energy dispersive spectroscopy (EDS) and x-ray diffractometry (XRD) for phase identification. The results show a predominant primary precipitation of the BCC phase, along with two distinct regions of primary precipitation of intermetallic phases. One of these is the Laves C15 phase, originating from the Cr-Nb binary system, while the other is a phase that was identified as Φ which transforms into C15 during cooling to room temperature.</p></div>","PeriodicalId":657,"journal":{"name":"Journal of Phase Equilibria and Diffusion","volume":"47 1","pages":"1 - 16"},"PeriodicalIF":1.7,"publicationDate":"2026-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11669-026-01228-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147561744","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Konrad Burkmann, Klaus Bohmhammel, Jürgen Seidel, Florian Mertens
{"title":"Thermodynamics of Alkaline Earth Boranates: On the Application of Neumann Kopp’s Rule for the Estimation of Heat Capacities and Absolute Entropies","authors":"Konrad Burkmann, Klaus Bohmhammel, Jürgen Seidel, Florian Mertens","doi":"10.1007/s11669-026-01229-3","DOIUrl":"10.1007/s11669-026-01229-3","url":null,"abstract":"<div><p>This study investigated the primary usability of Neumann Kopp’s rule for the reliable prediction of heat capacity values for the alkaline earth boranates. To this end, a comparative analysis of existing literature procedures was conducted, and the most effective approach was implemented. Notably, this study presents the first documented instance of the acquisition of heat capacity data for Be(BH<sub>4</sub>)<sub>2</sub> and Mg(BH<sub>4</sub>)<sub>2</sub> at low temperatures.</p></div>","PeriodicalId":657,"journal":{"name":"Journal of Phase Equilibria and Diffusion","volume":"47 1","pages":"17 - 25"},"PeriodicalIF":1.7,"publicationDate":"2026-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11669-026-01229-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147560847","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Theoretical Assessment of Binary Pair Interactions Affecting the Thermodynamic and Surface Properties of Al-Cu-Fe-Ti Melt and Its Ternary Subsystems","authors":"D. K. Sah, U. Mehta, D. Adhikari, S. K. Yadav","doi":"10.1007/s11669-026-01231-9","DOIUrl":"10.1007/s11669-026-01231-9","url":null,"abstract":"<div><p>Thermodynamic properties of Al-Cu-Fe-Ti liquid alloys were studied in the framework of General Solution Model at different cross-sections in the temperature range of 1873- 2127 K. The optimised self-consistent parameters for excess Gibbs energy of mixing of constituent binary subsystems available in the literature were used for this purpose. In thermodynamic properties, the excess Gibbs energy of mixing and the activities of components of the quaternary system were computed at the above mentioned temperatures. The surface tension and surface compositions of the system were computed using the Butler model with the help of the values determined from the thermodynamic functions. The effect of the interactions in the binary and ternary subsystems on the complex formation tendency in the quaternary liquid alloy was studied. The compositions of different stable quaternary complexes were also analysed which can be helpful for the fabrication of new materials.</p></div>","PeriodicalId":657,"journal":{"name":"Journal of Phase Equilibria and Diffusion","volume":"47 1","pages":"88 - 102"},"PeriodicalIF":1.7,"publicationDate":"2026-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147559584","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Vaporization Processes and Thermodynamics of Phase Equilibria in the CdO–In2O3 System","authors":"Andrey S. Smirnov, Nadezhda A. Gribchenkova","doi":"10.1007/s11669-026-01227-5","DOIUrl":"10.1007/s11669-026-01227-5","url":null,"abstract":"<div><p>Vaporization processes in the CdO–In<sub>2</sub>O<sub>3</sub> system have been studied by Knudsen effusion mass spectrometry in the temperature range of 938–1138 K. The incongruent character of the spinel CdIn<sub>2</sub>O<sub>4</sub> sublimation was established. The temperature dependences of the partial and total pressures of the vapor species in different phase regions of the system were determined. The standard enthalpies of sublimation and formation of CdIn<sub>2</sub>O<sub>4</sub> were obtained. A <i>p–x</i>-section of the phase diagram of the CdO–In<sub>2</sub>O<sub>3</sub> system at 1080 K was constructed.</p></div>","PeriodicalId":657,"journal":{"name":"Journal of Phase Equilibria and Diffusion","volume":"47 1","pages":"78 - 87"},"PeriodicalIF":1.7,"publicationDate":"2026-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147561475","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
I. I. Aliyev, R. M. Agayeva, Yu A. Yusibov, O. M. Aliyev, I. J. Alverdiyev, A. T. Mammadova, F. A. Alizade
{"title":"Investigation of the Interaction Character in the PbGa2S4-YbGa4S7 System, X-ray Structural Analysis and Properties of the Obtained Solid Solution Alloys","authors":"I. I. Aliyev, R. M. Agayeva, Yu A. Yusibov, O. M. Aliyev, I. J. Alverdiyev, A. T. Mammadova, F. A. Alizade","doi":"10.1007/s11669-026-01226-6","DOIUrl":"10.1007/s11669-026-01226-6","url":null,"abstract":"<div><p>The nature of the chemical interaction in the PbGa<sub>2</sub>S<sub>4</sub>-YbGa<sub>4</sub>S<sub>7</sub> system was studied and its T−x phase diagram was constructed using physicochemical analysis methods: differential-thermal analysis, x-ray diffraction analysis, microstructural analysis, as well as density and microhardness measurements. The PbGa<sub>2</sub>S<sub>4</sub>-YbGa<sub>4</sub>S<sub>7</sub> system is a quasi-binary section of the quasi-ternary PbS-Ga<sub>2</sub>S<sub>3</sub>-YbS system and belongs to the eutectic type. The eutectic formed between the PbGa<sub>2</sub>S<sub>4</sub> and YbGa<sub>4</sub>S<sub>7</sub> compounds occurs at a composition of 40 mol.% YbGa<sub>4</sub>S<sub>7</sub> and a temperature of 973 K. During the microstructural analysis, it was found that a solid solution region is formed over large areas in the system based on the initial components. The solid solution regions formed on the basis of the initial components were determined, and it was found that at room temperature the solid solution region of the PbGa<sub>2</sub>S<sub>4</sub> compound reaches 15 mol.% YbGa<sub>4</sub>S<sub>7</sub>, and that of the YbGa<sub>4</sub>S<sub>7</sub> compound reaches up to 20 mol.% PbGa<sub>2</sub>S<sub>4</sub>. The solid solution alloys (PbGa<sub>2</sub>S<sub>4</sub>)<sub>1−x</sub>(YbGa<sub>4</sub>S<sub>7</sub>)<sub>x</sub> (x−0.02; 0.03; 0.05) were studied by the x-ray diffraction and their lattice parameters were determined.</p></div>","PeriodicalId":657,"journal":{"name":"Journal of Phase Equilibria and Diffusion","volume":"47 1","pages":"103 - 109"},"PeriodicalIF":1.7,"publicationDate":"2026-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147560394","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Antoine Allaire, Marko Vogric, Tomasz Wojcik, Peter Presoly, Aurélie Jacob
{"title":"Experimental Investigation of Bainite Microstructure in Fe-C","authors":"Antoine Allaire, Marko Vogric, Tomasz Wojcik, Peter Presoly, Aurélie Jacob","doi":"10.1007/s11669-025-01224-0","DOIUrl":"10.1007/s11669-025-01224-0","url":null,"abstract":"<div><p>In this work, we present an experimental investigation of the bainite microstructure in pure Fe–C systems. Although Fe–C alloys are of fundamental importance to steel, the microstructure of metastable undercooled austenite—particularly the mechanism of bainite formation—remains a subject of debate. This uncertainty arises from the limited number of experimental studies available for the Fe–C system and the controversial interpretations of existing results. To address this gap, we employed a comprehensive set of methodologies, including heat treatment with dilatometry, light microscopy, scanning electron microscopy (SEM) with in-situ nanoindentation, and transmission electron microscopy (TEM), to characterize bainite and related metastable microstructures (such as pearlite, acicular ferrite, Widmanstätten ferrite, and martensite). Our results reveal that bainite formation competes with other metastable microstructures, complicating both its development and conventional characterization. By integrating these complementary techniques, we achieve a more complete and reliable characterization of bainite in the Fe–C system.</p></div>","PeriodicalId":657,"journal":{"name":"Journal of Phase Equilibria and Diffusion","volume":"47 1","pages":"38 - 51"},"PeriodicalIF":1.7,"publicationDate":"2026-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11669-025-01224-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147558910","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Kangying Li, Ruihen Zhu, Fengxiang Zhao, Chengbo Li, Tonghan Yang
{"title":"The Phase Equilibria in the Er-Fe-Ti Ternary System at 1173 K","authors":"Kangying Li, Ruihen Zhu, Fengxiang Zhao, Chengbo Li, Tonghan Yang","doi":"10.1007/s11669-025-01223-1","DOIUrl":"10.1007/s11669-025-01223-1","url":null,"abstract":"<div><p>The phase relationships in the Er-Fe-Ti ternary system at 1173 K have been investigated by means of x-ray diffraction and scanning electron microscopy. The presence of a new ternary compound ErFe<sub>9</sub>Ti<sub>2</sub> was observed at the studied temperature. Another ternary compound, ErFe<sub>11</sub>Ti, was confirmed along with six binary compounds, namely ErFe<sub>11</sub>Ti, TiFe<sub>2</sub>, TiFe, Er<sub>2</sub>Fe<sub>17</sub>, Er<sub>6</sub>Fe<sub>23</sub>, ErFe<sub>3</sub>, and ErFe<sub>2</sub>. The solid solubility of Er in TiFe<sub>2</sub> is 3.0 at.%, and that of Ti in Er<sub>2</sub>Fe<sub>17</sub> is 5.5 at.%. ErFe<sub>11</sub>Ti and ErFe<sub>9</sub>Ti<sub>2</sub> exhibit notable solid solubility ranges at 1173 K, with compositions varying approximately within ErFe<sub>11-x</sub>Ti<sub>1+x</sub> (x = − 0.4 to 0.5) and ErFe<sub>9+x</sub>Ti<sub>2-x</sub> (x = 0 to 0.2), respectively. Structural characterization of the ErFe<sub>9</sub>Ti<sub>2</sub> compound showed that it crystallizes in the tetragonal <i>P</i>4<i>/mbm</i> space group. The ErFe<sub>9</sub>Ti<sub>2</sub> phase exhibits lattice parameters of a = b = 0.82010(1) nm and c = 0.48026(5) nm.</p></div>","PeriodicalId":657,"journal":{"name":"Journal of Phase Equilibria and Diffusion","volume":"47 1","pages":"52 - 61"},"PeriodicalIF":1.7,"publicationDate":"2025-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147560566","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Alloy Phase Diagram Committee Member Named Fellow of ASM International","authors":"","doi":"10.1007/s11669-025-01217-z","DOIUrl":"10.1007/s11669-025-01217-z","url":null,"abstract":"","PeriodicalId":657,"journal":{"name":"Journal of Phase Equilibria and Diffusion","volume":"46 6","pages":"511 - 511"},"PeriodicalIF":1.7,"publicationDate":"2025-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145739382","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
M. H. Rong, L. Sun, K. Song, Q. R. Yao, J. Wang, G. H. Rao, H. Y. Zhou
{"title":"Experimental Study and Thermodynamic Calculation of Phase Equilibria in the La-Fe-B Ternary System","authors":"M. H. Rong, L. Sun, K. Song, Q. R. Yao, J. Wang, G. H. Rao, H. Y. Zhou","doi":"10.1007/s11669-025-01219-x","DOIUrl":"10.1007/s11669-025-01219-x","url":null,"abstract":"<div><p>The phase equilibria of La-Fe-B alloys at 873 K were studied by means of the equilibrated alloy method using scanning electron microscopy with energy dispersive spectroscopy (SEM-EDS) and x-ray diffraction (XRD). It was confirmed that the ternary intermetallic compound La<sub>2</sub>Fe<sub>14</sub>B (τ<sub>1</sub>) with the Nd<sub>2</sub>Fe<sub>14</sub>B-type structure and space group <i>P</i>4<sub>2</sub><i>/mnm</i> is not stable at 873 K, while the ternary intermetallic compound La<sub>1.1</sub>Fe<sub>4</sub>B<sub>4</sub> (τ<sub>2</sub>) with the Nd<sub>l+ε</sub>Fe<sub>4</sub>B<sub>4</sub>-type structure and space group <i>Pccn</i> exists. The isothermal section of the La-Fe-B ternary system at 873 K was determined. Based on the experimental results determined in this work and reported in the literature, thermodynamic calculation of the La-Fe-B ternary system was conducted using the CALPHAD method in combination with the previous assessments of the La-Fe, Fe-B and La-B binary systems. The calculated results including isothermal sections, vertical sections and liquids projection are in good agreement with the experimental results. A set of self-consistent thermodynamic parameters of the La-Fe-B ternary system was finally obtained, which is a good basis of the devolvement of a thermodynamic database of Nd-La-Fe-B alloys to explore Nd-Fe-B permanent magnets with high-performance and low-cost.</p></div>","PeriodicalId":657,"journal":{"name":"Journal of Phase Equilibria and Diffusion","volume":"47 1","pages":"62 - 77"},"PeriodicalIF":1.7,"publicationDate":"2025-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147559071","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
K. Bouzgou, Y. Djaballah, I. Aggoun, H. Righi, R. Beddiaf, A. Belgacem Bouzida
{"title":"Thermodynamic Assessment of the Bi-Sm and Ge-Sm Systems Supported by First-Principles Calculation","authors":"K. Bouzgou, Y. Djaballah, I. Aggoun, H. Righi, R. Beddiaf, A. Belgacem Bouzida","doi":"10.1007/s11669-025-01220-4","DOIUrl":"10.1007/s11669-025-01220-4","url":null,"abstract":"<div><p>The Bi-Sm and Ge-Sm systems have been optimized using calculation of phase diagrams (Calphad) method, coupled with first-principles calculations using density functional theory (DFT), to evaluate the thermodynamic parameters of the liquid and solid solutions phases and the intermetallic compounds within both systems. Each system contains five intermetallic phases: Bi₂Sm, BiSm, Bi₃Sm₄, Bi₃Sm₅, BiSm₂, Ge₃Sm₅, Ge₄Sm₅, GeSm, Ge₅Sm₃ and Ge₃Sm₂. All intermediate phases are stoichiometric, and their enthalpies of formation are computed with VASP code. The liquid excess Gibbs energy is described by the associate model, while the primary solid solutions for both systems are modelled using the Redlich–Kister polynomial.</p></div>","PeriodicalId":657,"journal":{"name":"Journal of Phase Equilibria and Diffusion","volume":"47 1","pages":"26 - 37"},"PeriodicalIF":1.7,"publicationDate":"2025-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147561882","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}