journal article·2019-02Open access

Thermodynamic analysis of the topologically close packed σ phase in the Co Cr system

Peisheng Wang, Matthew C. Peters, Ursula R. Kattner, Kamal Choudhary, Gregory B. Olson

Intermetallics· Volume 105

Abstract

Density functional theory (DFT) calculations show that it is essential to consider the magnetic contribution to the total energy for the end-members of the σ phase. A more straightforward method to use the DFT results in a CALPHAD (Calculation of phase diagrams) description has been applied in the present work. It was found that only the results from DFT calculations considering spin-polarization are necessary to obtain a reliable description of the σ phase. The benefits of this method are: the DFT calculation work can be reduced and the CALPHAD description of the magnetic contribution is more reliable. A revised thermodynamic description of the Co-Cr system is presented which gives improved agreement with experimental phase boundary data for the σ phase.
Source: europepmc · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Intermetallics and Advanced Alloy Properties · Metallurgical and Alloy Processes · Advanced materials and composites

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

References (51)

Show source-provided references
1. Cobalt-base alloys
2. The CALPHAD method and its role in material and process development10.4322/2176-1523.1059 ↗
3. Preface to the viewpoint set on: the materials genome10.1016/j.scriptamat.2013.09.013 ↗
4. The development of phase-based property data using the CALPHAD method and infrastructure needs
5. Thermodynamic re-assessment of the Co–Cr system supported by first-principles calculations10.1016/j.calphad.2015.10.013 ↗
6. Direct evidence of magnetically induced phase separation in the fcc phase and thermodynamic calculations of phase equilibria of the Co–Cr system10.1016/S1359-6454(01)00433-5 ↗
7. Phase diagram calculation in Co-Cr system using ab initio determined lattice instability of sigma phase10.1016/S0364-5916(02)80004-9 ↗
8. Thermodynamics of solid Co-Cr alloys by Knudsen cell mass spectrometry and computation of the phase diagram10.1002/bbpc.19981020927 ↗
9. A thermodynamic evaluation of the Co-Cr and the C-Co-Cr systems10.1016/S0364-5916(97)00033-3 ↗
10. The compound energy formalism10.1016/S0925-8388(00)01481-X ↗
11. Experimental and computed phase diagrams of the Fe–Re system10.1088/0953-8984/26/48/485402 ↗
12. Crystal chemistry and calphad modeling of the σ phase10.1016/j.pmatsci.2007.04.001 ↗
13. CALPHAD description of the Mo–Re system focused on the sigma phase modeling10.1016/j.calphad.2013.08.002 ↗
14. Workshop on thermodynamic modelling of solutions and alloys: group 2: alloy system I thermodynamic modelling of selected topologically close-packed intermetallic compounds10.1016/S0364-5916(97)00021-7 ↗
15. Site occupancy and lattice parameters in sigma-phase Co–Cr alloys10.1107/S0108768112006234 ↗
16. Algebraic representation of thermodynamic properties and the classification of solutions10.1021/ie50458a036 ↗
17. A model for alloying in ferromagnetic metals10.1016/0364-5916(78)90011-1 ↗
18. Ab initio study of lattice site occupancies in binary sigma phases using a single-site mean field model10.3390/app2030654 ↗
19. Thermo-Calc Software, http://www.thermo-calc.com, visited 21-June-2018.
20. The Co-Cr (cobalt-chromium) system10.1007/BF02843315 ↗
21. On the equilibrium diagram of the cobalt-chromium system
22. The Co-Cr binary system
23. Thermal and dilatometric investigation of the alloys of cobalt with chromium and molybdenum
24. Chiba · 1971
25. Co-Cr binary system: experimental re-determination of the phase diagram and comparison with the diagram calculated from the thermodynamic data10.1016/0022-5088(78)90131-5 ↗
26. A study of the range of stability of sigma phase in some ternary systems
27. Computer calculation of phase diagrams for Co-Cr and Co-Mn systems10.2320/jinstmet1952.46.6_577 ↗
28. On the properties of the Co-Cr binary system
29. On the temperature dependence of the magnetic properties in Co-Cr alloys
30. The magnetization of cobalt-manganese and cobalt-chromium alloys10.1080/14786435708242708 ↗
31. Transformations in the cobalt-chromium-titanium system, Izv Vyssh Uchebn Zaved
32. Impurity and interdiffusion coefficients of the Cr–X (X=Co, Fe, Mo, Nb, Ni, Pd, Pt, Ta) binary systems10.1016/j.jallcom.2014.03.092 ↗
33. Evidence for microstructural inhomogeneity in sputtered Co-Cr thin films10.1063/1.333629 ↗
34. Experimental determination of phase equilibria in the Co-Cr-Ni system10.1007/s11669-014-0292-z ↗
35. The determination of the thermodynamic properties of cobalt–chromium alloys using solid-electrolyte EMF and high-temperature calorimetric techniques
36. Enthalpies of formation of (cobalt + chromium) alloys at 473 K10.1016/0021-9614(83)90078-2 ↗
37. SGTE data for pure elements10.1016/0364-5916(91)90030-N ↗
38. Scientific Group Thermodata Europe: SGTE, https://www.sgte.net/en/free-pure-substance-database, visited 21-June-2018.
39. Thermodynamic evaluation of pure Co for the third generation of thermodynamic databases10.1002/pssb.201600231 ↗
40. Thermodynamic modeling of pure Co accounting two magnetic states for the Fcc phase10.1007/s11669-018-0656-x ↗
41. First-principles calculations and CALPHAD modeling of thermodynamics10.1007/s11669-009-9570-6 ↗
42. Self-consistent equations including exchange and correlation effects10.1103/PhysRev.140.A1133 ↗
43. From ultrasoft pseudopotentials to the projector augmented-wave method10.1103/PhysRevB.59.1758 ↗
44. Ab initio molecular-dynamics simulation of the liquid-metal-amorphous-semiconductor transition in germanium10.1103/PhysRevB.49.14251 ↗
45. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set10.1103/PhysRevB.54.11169 ↗
46. Generalized gradient approximation made simple10.1103/PhysRevLett.77.3865 ↗
47. Special points for Brillouin-zone integrations10.1103/PhysRevB.13.5188 ↗
48. χ and σ phases in binary rhenium–transition metal systems: a systematic first-principles investigation10.1021/ic302142w ↗
49. Ab initio study of formation energy and magnetism of sigma phase in Cr–Fe and Cr–Co systems10.1016/j.intermet.2009.07.018 ↗
50. Critical evaluation of the thermodynamic properties of cobalt10.1007/BF00567107 ↗
51. Atomic, electronic, and magnetic structure of iron-based sigma-phases