Implementation of a new model for pressure dependence of condensed phases in Thermo-Calc
Source abstract
Abstract
The high pressure modelling of condensed phases has mainly been a topic for geophysics, but there is an interest in modelling moderate pressure dependence also for materials science and engineering. The Murnaghan equation of state has been implemented in the Thermo-Calc software to represent the pressure-dependent part of the Gibbs energy. Recently it has been shown by Jacobs and Oonk that an equation of state derived from an empirical relationship between volume and isothermal bulk modulus can be applied to represent experimental data in volume–pressure–temperature space with equal or better accuracy then the Murnaghan equation of state. In this paper we extend this equation of state and show that a simpler expression for the Gibbs energy can be derived than that given by Jacobs and Oonk. The resulting expression for the Gibbs energy has been implemented in the Thermo-Calc software.
Source: expertdata · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: High-pressure geophysics and materials · Geological and Geochemical Analysis · Phase Equilibria and Thermodynamics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (42)
Show source-provided references
1. Murnaghan · Proc. Natl. Acad. Sci. USA · 1944 · 30 · 24410.1073/pnas.30.9.244 ↗
2. Grover · Phys. Rev. B · 1973 · 7 · 56710.1103/PhysRevB.7.567 ↗
3. Jacobs · Phys. Chem. Chem. Phys. · 2000 · 2 · 264110.1039/a910247g ↗
4. Jacobs · CALPHAD · 2000 · 24 · 13310.1016/S0364-5916(00)00019-5 ↗
5. Raju · Phys. Chem. Chem. Phys. · 2001 · 3 · 139110.1039/b009587g ↗
6. Jacobs · Phys. Chem. Minerals · 2001 · 28 · 57210.1007/s002690100180 ↗
7. Jacobs · Geochim. Cosmochim. Acta · 2001 · 65 · 423110.1016/S0016-7037(01)00694-9 ↗
8. Sundman · CALPHAD · 1985 · 9 · 15310.1016/0364-5916(85)90021-5 ↗
9. Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables
10. Birch · J. Geophys. Res. · 1952 · 57 · 22710.1029/JZ057i002p00227 ↗
11. Inden · Proc. CALPHAD V (Dusseldorf) · 1976 · Ch.III · 1
12. Fernandez Guillermet · Int. J. Thermophys. · 1987 · 8 · 48110.1007/BF00567107 ↗
13. Jacobs · Phys. Chem. Chem. Phys. · 2003 · 5 · 205610.1039/b301550e ↗
14. Mao · J. Geophys. Res. · 1990 · 95 · 2173710.1029/JB095iB13p21737 ↗
15. Mao · J. Appl. Phys. · 1967 · 38 · 27210.1063/1.1708965 ↗
16. Huang · J. Geophys. Res. · 1987 · 92 · 812910.1029/JB092iB08p08129 ↗
17. Dubrovinsky · Phys. Rev. Lett. · 2000 · 84 · 172010.1103/PhysRevLett.84.1720 ↗
18. Funamori · Geophys. Res. Lett. · 1996 · 23 · 95310.1029/96GL00943 ↗
19. Jephcoat · J. Geophys. Res. · 1986 · 91 · 467710.1029/JB091iB05p04677 ↗
20. Giles · J. Appl. Phys. · 1971 · 42 · 429010.1063/1.1659768 ↗
21. Boehler · Geophys. Res. Lett. · 1986 · 13 · 115310.1029/GL013i011p01153 ↗
22. Liu · J. Geophys. Res. · 1975 · 80 · 377710.1029/JB080i026p03777 ↗
23. Strong · Metall. Trans. · 1973 · 4 · 265710.1007/BF02644272 ↗
24. Shen · Geophys. Res. Lett. · 1998 · 25 · 37310.1029/97GL03776 ↗
25. Properties of Earth and Planetary Materials at High Pressure and Temperature
26. Yoo · Science · 1995 · 270 · 147310.1126/science.270.5241.1473 ↗
27. Bundy · J. Appl. Phys. · 1965 · 36 · 61610.1063/1.1714038 ↗
28. High-Pressure Research in Mineral Physics
29. Kaufman · Acta Metall. · 1963 · 11 · 32310.1016/0001-6160(63)90157-3 ↗
30. Kennedy · 1962
31. Johnson · J. Appl. Phys. · 1962 · 33 · 55710.1063/1.1702465 ↗
32. Sumino · Phys. Chem. Minerals · 1983 · 9 · 3810.1007/BF00309468 ↗
33. Isaak · Phys. Chem. Minerals · 1989 · 16 · 70410.1007/BF00223321 ↗
34. Duffy · Phys. Rev. Lett. · 1995 · 74 · 137110.1103/PhysRevLett.74.1371 ↗
35. Accurate Characterization of the High Pressure Environment
36. Perez-Albuerne · J. Chem. Phys. · 1965 · 43 · 138110.1063/1.1696929 ↗
37. Mao · J. Geophys. Res. · 1979 · 84 · 453310.1029/JB084iB09p04533 ↗
38. Vassilou · Geophys. Res. Lett. · 1981 · 8 · 72910.1029/GL008i007p00729 ↗
39. Isaak · J. Geophys. Res. · 1990 · 95 · 705510.1029/JB095iB05p07055 ↗
40. Wang · Geophys. Res. Lett. · 1995 · 22 · 129710.1029/95GL01194 ↗
41. Chopelas · Geophys. Res. Lett. · 1992 · 19 · 198310.1029/92GL02144 ↗
42. Duffy · Geophys. Res. Lett. · 1993 · 20 · 110310.1029/93GL00479 ↗