A correction to "parallel tangent" method for modelling segregation to grain boundaries and other interfaces for components of different atomic sizes. (November 2019)

• Record Type: Journal Article
• Authors: Kaptay, George
• Is Part Of: Scripta materialia. Number 172(2019)
• Page Start: 47
• Page End: 50
• Publication Date: 2019-11
• Subjects: Segregation -- Grain boundary -- Parallel tangent construction -- Butler equation; Materials -- Periodicals; Metallurgy -- Periodicals; Metalen; Legeringen; Materiaalkunde; Metals, metalworking and machinery industries; Metals; Electronic journals; 620.11
• DOI: 10.1016/j.scriptamat.2019.07.009
• Languages: English
• ISSNs: 1359-6462

Abstract

Abstract: Hillert showed an elegant way to obtain the equilibrium composition of interfaces (including grain boundaries) and the equilibrium interfacial energy for binary solutions using his "parallel tangent construction". However, this method is correct only for equal sizes of atoms of the components. A corrected equation is derived here from the two fundamental equations of Gibbs. Our resulting non-parallel tangent construction is less elegant, but more correct compared to the parallel tangent construction of Hillert. Our method is also extended to multi-component solid solutions. Our method is equivalent to the Butler equations, without a need to introduce partial interfacial energies. Graphical abstract: Unlabelled Image