{"title":"熵:晶界偏析的实验与计算之争","authors":"Pavel Lejček, Mojmír Šob","doi":"10.1016/j.pmatsci.2025.101431","DOIUrl":null,"url":null,"abstract":"Grain boundary segregation is one of the crucial phenomena affecting the properties of the materials and their technological applications. However, 50 years since starting its intensive study, there still remain open questions and controversies related to this phenomenon. Probably, the most serious uncertainty consists in understanding the segregation entropy. While this term seems to result directly from experimental studies of temperature dependence of chemical composition of grain boundaries, it is mostly neglected in theoretical calculations. This negligence arises from the fact that most of the first-principles calculations are performed at the temperature of 0 K and, therefore, the segregation entropy is usually not evaluated. Consequently, it is supposed that its contribution at enhanced temperatures is negligible which is supported by scarce calculations of the vibrational entropy of grain boundary segregation. Another question discussed presently between theoreticians on one hand and experimenters on the other hand deals with physical meaning of the values of the thermodynamic quantities determined from the average grain boundary concentration.This paper summarizes the present knowledge on the segregation entropy in metallic hosts and documents some issues in which the segregation entropy plays important and irreplaceable role. These issues are represented by the enthalpy–entropy compensation effect, by the method of prediction of grain boundary segregation and by comparison of calculated results and experimental or predicted data. The role of the entropy is also crucial in the recently discussed cases of the entropy-dominated and entropy-driven grain boundary segregation. Finally, collective processes related to grain boundaries – grain boundary migration and intergranular fracture – are discussed suggesting that these processes, based on coordinated behavior of numerous neighbor atoms in the grain boundary core, will be better characterized by average values of characteristic quantities rather than by the values of these quantities for individual sites.","PeriodicalId":411,"journal":{"name":"Progress in Materials Science","volume":"22 1","pages":""},"PeriodicalIF":33.6000,"publicationDate":"2025-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Entropy: A controversy between experiment and calculations in grain boundary segregation\",\"authors\":\"Pavel Lejček, Mojmír Šob\",\"doi\":\"10.1016/j.pmatsci.2025.101431\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Grain boundary segregation is one of the crucial phenomena affecting the properties of the materials and their technological applications. However, 50 years since starting its intensive study, there still remain open questions and controversies related to this phenomenon. Probably, the most serious uncertainty consists in understanding the segregation entropy. While this term seems to result directly from experimental studies of temperature dependence of chemical composition of grain boundaries, it is mostly neglected in theoretical calculations. This negligence arises from the fact that most of the first-principles calculations are performed at the temperature of 0 K and, therefore, the segregation entropy is usually not evaluated. Consequently, it is supposed that its contribution at enhanced temperatures is negligible which is supported by scarce calculations of the vibrational entropy of grain boundary segregation. Another question discussed presently between theoreticians on one hand and experimenters on the other hand deals with physical meaning of the values of the thermodynamic quantities determined from the average grain boundary concentration.This paper summarizes the present knowledge on the segregation entropy in metallic hosts and documents some issues in which the segregation entropy plays important and irreplaceable role. These issues are represented by the enthalpy–entropy compensation effect, by the method of prediction of grain boundary segregation and by comparison of calculated results and experimental or predicted data. The role of the entropy is also crucial in the recently discussed cases of the entropy-dominated and entropy-driven grain boundary segregation. Finally, collective processes related to grain boundaries – grain boundary migration and intergranular fracture – are discussed suggesting that these processes, based on coordinated behavior of numerous neighbor atoms in the grain boundary core, will be better characterized by average values of characteristic quantities rather than by the values of these quantities for individual sites.\",\"PeriodicalId\":411,\"journal\":{\"name\":\"Progress in Materials Science\",\"volume\":\"22 1\",\"pages\":\"\"},\"PeriodicalIF\":33.6000,\"publicationDate\":\"2025-01-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Progress in Materials Science\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://doi.org/10.1016/j.pmatsci.2025.101431\",\"RegionNum\":1,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Progress in Materials Science","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1016/j.pmatsci.2025.101431","RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
Entropy: A controversy between experiment and calculations in grain boundary segregation
Grain boundary segregation is one of the crucial phenomena affecting the properties of the materials and their technological applications. However, 50 years since starting its intensive study, there still remain open questions and controversies related to this phenomenon. Probably, the most serious uncertainty consists in understanding the segregation entropy. While this term seems to result directly from experimental studies of temperature dependence of chemical composition of grain boundaries, it is mostly neglected in theoretical calculations. This negligence arises from the fact that most of the first-principles calculations are performed at the temperature of 0 K and, therefore, the segregation entropy is usually not evaluated. Consequently, it is supposed that its contribution at enhanced temperatures is negligible which is supported by scarce calculations of the vibrational entropy of grain boundary segregation. Another question discussed presently between theoreticians on one hand and experimenters on the other hand deals with physical meaning of the values of the thermodynamic quantities determined from the average grain boundary concentration.This paper summarizes the present knowledge on the segregation entropy in metallic hosts and documents some issues in which the segregation entropy plays important and irreplaceable role. These issues are represented by the enthalpy–entropy compensation effect, by the method of prediction of grain boundary segregation and by comparison of calculated results and experimental or predicted data. The role of the entropy is also crucial in the recently discussed cases of the entropy-dominated and entropy-driven grain boundary segregation. Finally, collective processes related to grain boundaries – grain boundary migration and intergranular fracture – are discussed suggesting that these processes, based on coordinated behavior of numerous neighbor atoms in the grain boundary core, will be better characterized by average values of characteristic quantities rather than by the values of these quantities for individual sites.
期刊介绍:
Progress in Materials Science is a journal that publishes authoritative and critical reviews of recent advances in the science of materials. The focus of the journal is on the fundamental aspects of materials science, particularly those concerning microstructure and nanostructure and their relationship to properties. Emphasis is also placed on the thermodynamics, kinetics, mechanisms, and modeling of processes within materials, as well as the understanding of material properties in engineering and other applications.
The journal welcomes reviews from authors who are active leaders in the field of materials science and have a strong scientific track record. Materials of interest include metallic, ceramic, polymeric, biological, medical, and composite materials in all forms.
Manuscripts submitted to Progress in Materials Science are generally longer than those found in other research journals. While the focus is on invited reviews, interested authors may submit a proposal for consideration. Non-invited manuscripts are required to be preceded by the submission of a proposal. Authors publishing in Progress in Materials Science have the option to publish their research via subscription or open access. Open access publication requires the author or research funder to meet a publication fee (APC).
Abstracting and indexing services for Progress in Materials Science include Current Contents, Science Citation Index Expanded, Materials Science Citation Index, Chemical Abstracts, Engineering Index, INSPEC, and Scopus.