journal article·2020-01

Theoretical calculation of the free energy of mixing of liquid transition-metal alloys using a bond-order potential and thermodynamic perturbation theory

Shun Ueda, Kazuki Morita

Publisher page

Abstract

Abstract Here, we demonstrate an extensive theoretical analysis of the free energy of mixing of liquid transition-metal alloys. The interatomic interaction is modeled by a semi-empirical potential, where the contributions from nearly-free and tight-binding electrons are described by the pseudopotential perturbation theory and the bond-order tight-binding potential, respectively. The liquid structure and the structure-dependent part of the free energy are calculated through the Weeks-Chandler-Anderson (WCA) approach with the non-additive hard-sphere reference system. The calculated free energy of mixing values shows reasonable agreement with experimental values, especially for alloys with small differences in group numbers for their components.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Thermodynamic and Structural Properties of Metals and Alloys · Chemical Thermodynamics and Molecular Structure · Material Dynamics and Properties

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (46)

Show source-provided references
1. Theory of phase separation in liquid-metal alloys: LixNa1-x10.1103/PhysRevB.7.4405 ↗
2. Thermodynamic calculations for liquid alloys with an application to sodium-potassium10.1088/0305-4608/4/10/016 ↗
3. Role of repulsive forces in determining the equilibrium structure of simple liquids
4. Roles of repulsive and attractive forces in liquids: the optimized random phase approximation10.1063/1.1677784 ↗
5. Thermodynamics of alkali–alkali liquid alloys. Calculation by pseudopotential method and thermodynamic perturbation theory10.1016/S0040-6031(98)00312-8 ↗
6. Thermodynamics of binary liquid metal alloys in the framework of the ORPA and pseudopotential theory
7. Energy of formation for AgxIn1-x and AgxSn1-x liquid binary alloys
8. A systematic study of segregation for ZnxBi1–x liquid binary alloys10.1063/1.4926573 ↗
9. The Wills–Harrison approach to the thermodynamics of binary liquid transition-metal alloys10.1088/0953-8984/20/11/114111 ↗
10. Thermodynamics of liquid Fe–Ni alloys: calculations at different temperatures
11. Interionic interactions in transition metals
12. Hybridized nearly-free-electron tight-binding-bond approach to interatomic forces in disordered transition-metal alloys. I. Theory10.1103/PhysRevB.45.115 ↗
13. Hybridized nearly-free-electron tight-binding-bond approach to interatomic forces in disordered transition-metal alloys. II. Modeling of metallic glasses10.1103/PhysRevB.45.128 ↗
14. Structural modeling of transition-metal-metalloid glasses by use of tight-binding-bond forces.
15. Nonadditive hard-sphere fluid mixtures: a simple analytical theory
16. Equation of state of nonadditive d-dimensional hard-sphere mixtures
17. Virial coefficients, thermodynamic properties, and fluid-fluid transition of nonadditive hard-sphere mixtures10.1063/1.3429600 ↗
18. Hafner · 2011
19. Harrison · 2004
20. Analytic expression for the dielectric screening function of strongly coupled electron liquids at metallic and lower densities10.1103/PhysRevB.24.7385 ↗
21. The energy and elastic constants of simple metals in terms of pairwise interactions10.1088/0305-4608/4/10/012 ↗
22. Structure and thermodynamics of liquid transition metals: integral-equation study of Fe, Co and Ni10.1088/0953-8984/7/20/002 ↗
23. Interionic interactions in simple metals10.1103/PhysRevB.25.5007 ↗
24. Direct correlation function: hard sphere fluid10.1063/1.431378 ↗
25. Straightforward calculation of the WCA entropy and internal energy for liquid metals10.1016/j.tca.2011.01.041 ↗
26. Waseda · 1980
27. Soft-sphere reference system in thermodynamic variational calculations. II. Liquid transition metals10.1088/0305-4608/18/6/008 ↗
28. Variational thermodynamic calculations for liquid transition metals10.1103/PhysRevB.43.8924 ↗
29. Structure and thermodynamics of the 3d-transition metals in the liquid state10.1016/S0022-3093(96)00255-4 ↗
30. Liquid structure of transition metals: investigations using molecular dynamics and perturbation- and integral-equation techniques
31. Blip function calculation of the radial distribution functions for a binary liquid mixture10.1016/0009-2614(75)80174-6 ↗
32. A blip-function calculation of the structure of liquid binary alloys10.1088/0305-4608/15/8/003 ↗
33. Phase equilibria and thermodynamic properties in the Fe–Cr system10.1080/10408431003788472 ↗
34. A thermodynamic analysis of the Mn–V and Fe–Mn–V systems10.1016/0364-5916(91)90018-F ↗
35. Assessing the thermodynamics of the Fe–Co–Ni system using a calphad predictive technique10.1016/0364-5916(89)90034-5 ↗
36. Thermodynamic modeling of phase equilibria in the Ni–V system10.1134/S0036024410050080 ↗
37. A thermodynamic assessment of the Co–V system10.1361/105497103772084534 ↗
38. A thermodynamic evaluation of the Cr–Ni–W system10.1016/0364-5916(88)90008-9 ↗
39. An assessment of the Co–Mn system10.1016/0364-5916(89)90003-5 ↗
40. Thermodynamic reassessment and calculation of Fe–Ti phase diagram10.1016/0364-5916(94)90028-0 ↗
41. Thermodynamic and kinetic modeling of the Cr–Ti–V system10.1361/105497102770331569 ↗
42. Thermochemical database for light metal alloys
43. Thermodynamic modelling of the Co–Ti system10.1016/S0966-9795(99)00098-9 ↗
44. Thermodynamic reassessment of Nb–Ni–Ti system with order-disorder model10.1016/j.jallcom.2014.08.200 ↗
45. Thermodynamic optimization of the Mn–Ni system10.1016/j.intermet.2004.09.002 ↗
46. Tight-binding simulation of transition-metal alloys10.1088/0953-8984/23/27/276004 ↗