Prediction of melting curves of ionic and partially covalent compounds using the Jeanloz equation for the Grüneisen parameter
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OpenAlex topics: Material Dynamics and Properties · High-pressure geophysics and materials · Chemical Thermodynamics and Molecular Structure
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References (65)
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1. W.B. Holzapfel, Physics of solids under strong compression. Rep. Prog. Phys. 59, 29 (1996). https://doi.org/10.1088/0034-4885/59/1/00210.1088/0034-4885/59/1/002 ↗
2. W.B. Holzapfel, Equations of state for solids under strong compression. High Press. Res. 16, 81 (1998). https://doi.org/10.1080/0895795980820028310.1080/08957959808200283 ↗
3. W.B. Holzapfel, Effects of intrinsic anharmonicity in the Mie–Grüneisen equation of state and higher order corrections. High Press. Res. 25, 187 (2005). https://doi.org/10.1080/0895795050023590010.1080/08957950500235900 ↗
4. L. Burakovsky, D.L. Preston, Analytic model of the Grüneisen parameter at all densities. J. Phys. Chem. Solids 65, 1581 (2004). https://doi.org/10.1016/j.jpcs.2003.10.07610.1016/j.jpcs.2003.10.076 ↗
5. J. Shanker, B.P. Singh, H.K. Baghel, Volume dependence of the Grüneisen parameter and maximum compression limit for iron. Physica B 387, 409 (2007). https://doi.org/10.1016/j.physb.2006.04.02610.1016/j.physb.2006.04.026 ↗
6. K. Sunil, S.B. Sharma, B.S. Sharma, Analysis of melting curves of MgO and LiF using the Lindemann law. Int. J. Mod. Phys. B 30, 1850339 (2018). https://doi.org/10.1142/S021797921850339310.1142/S0217979218503393 ↗
7. M. Goyal, Melting temperature of metals under pressure. Chin. J. Phys. 66, 453 (2020). https://doi.org/10.1016/j.cjph.2020.05.00210.1016/j.cjph.2020.05.002 ↗
8. K. Sunil, D. Ashwini, V.S. Sharma, Pressure dependence of the Grüneisen parameter and melting temperature of some metals. Int. J. Mod. Phys. B 35, 2150255 (2021). https://doi.org/10.1142/S021797922150255610.1142/S0217979221502556 ↗
9. D. Ashwini, V.S. Sharma, K. Sunil, Analysis of melting of some metals using pressure dependence of the Grüneisen parameter in the Lindemann law. Eur. Phys. J. Plus 137, 1 (2022). https://doi.org/10.1140/epjp/s13360-022-02733-410.1140/epjp/s13360-022-02733-4 ↗
10. K. Anand, K. Rajesh, V.S. Sharma, Melting curves of diatomic solids using the Lindemann law and a density-dependent Grüneisen parameter. Comp. Cond. Matter 30, e00647 (2022). https://doi.org/10.1016/j.cocom.2022.e0064710.1016/j.cocom.2022.e00647 ↗
11. P. Singh, B.K. Pandey, S. Mishra, A.P. Srivastava, Formulation for the prediction of melting temperature of metallic solids using suitable equation of states. Comp. Cond. Matter 35, e00807 (2023). https://doi.org/10.1016/j.cocom.2023.e0080710.1016/j.cocom.2023.e00807 ↗
12. K. Sunil, M.P. Singh, B.S. Sharma, Analysis of melting behaviour of some transition metals at high pressures. Comp. Cond. Matter 35, e00813 (2023). https://doi.org/10.1016/j.cocom.2023.e0081310.1016/j.cocom.2023.e00813 ↗
13. R. Jeanloz, Shock wave equation of state and finite strain theory. J. Geophys. Res. 94, 5873 (1989). https://doi.org/10.1029/JB094iB05p0587310.1029/JB094iB05p05873 ↗
14. F.A. Lindemann, About the calculation of molecular own frequencies. Z. Phys. 11, 609 (1910). https://doi.org/10.3109/0735790930901168010.3109/07357909309011680 ↗
15. J.J. Gilvarry, The Lindemann and Grüneisen laws. Phys. Rev. 102, 308 (1956). https://doi.org/10.1103/PhysRev.102.30810.1103/PhysRev.102.308 ↗
16. O.L. Anderson, Equation State of Solids in Geophysics and Ceramic Science (Oxford University Press Inc., New York, 1995)10.1093/oso/9780195056068.001.0001 ↗
17. F.D. Stacey, P.M. Davis, High pressure equation of state with applications. Phys. Earth Planet. Inter. 142, 137 (2004). https://doi.org/10.1016/j.pepi.2004.02.00310.1016/j.pepi.2004.02.003 ↗
18. H.Y. Abdullah, Potential energy curve and spectroscopic parameters of multi-charged LiF molecule. Can. J. Phys. 95, 1122 (2017). https://doi.org/10.1139/cjp-2017-015510.1139/cjp-2017-0155 ↗
19. P.O. Amadi, A.N. Ikot, A.T. Ngiangia, U.S. Okorie, G.J. Rampho, H.Y. Abdullah, Shannon entropy and Fisher information for screened Kratzer potential. Int. J. Quantum Chem. 120, ez6246 (2020). https://doi.org/10.1002/qua.2624610.1002/qua.26246 ↗
20. C.O. Edet, P.O. Amadi, M.C. Onyeaju, U.S. Okorie, R. Sever, G.J. Rampho, H.Y. Abdullah, I.H. Salih, A.N. Ikot, Thermal properties and magnetic susceptibility of Hellmann potential in Aharonov–Bohm (AB) flux and magnetic fields at zero and finite temperatures. J. Low Temp. Phys. 202, 83 (2021). https://doi.org/10.48550/arXiv.1911.0199710.48550/arXiv.1911.01997 ↗
21. S.A. Ekong, U.S. Okorie, A.N. Ikot, I.B. Okon, L.F. Obagboye, H.Y. Abdullah, R. Sever, K.W. Qadir, Thermodynamic evaluation of coshine yukuwa potential (cyp) for some diatomic molecule systems. Eur. Phys. J. Plus. 138, 364 (2023). https://doi.org/10.1140/epjp/s13360-023-03982-710.1140/epjp/s13360-023-03982-7 ↗
22. M.D. Mohammadi, R. Bhaskaran, H.Y. Abdullah, H.H. Abdallah, G. Biskos, S. Bhowmic, Lowest electronic states of neutral and ionic LiN. Int. J. Quantum Chem. 124, e27288 (2023). https://doi.org/10.1002/qua.2728810.1002/qua.27288 ↗
23. L.L. Boyer, Theory of melting based on lattice instability. Phase Transit. 5, 1 (1985). https://doi.org/10.1080/0141159850821914410.1080/01411598508219144 ↗
24. K. Sheelendra, A. Vijay, Equation of state, thermoelastic properties and melting behaviour of NaCl at high temperatures and high pressures. J. Phys. Chem. Solids 123, 364 (2018). https://doi.org/10.1016/j.jpcs.2018.08.02710.1016/j.jpcs.2018.08.027 ↗
25. U.C. Roy, S.K. Sarkar, Ab initio study of the density dependence of the Grüneisen parameter at pressures up to 360 GPa. Comp. Cond. Matter 27, e00552 (2021). https://doi.org/10.1016/j.cocom.2021.e0055210.1016/j.cocom.2021.e00552 ↗
26. J. Shanker, K. Sunil, B.S. Sharma, The Grüneisen parameter and its higher order derivatives for the Earth lower mantle and core. Phys. Earth Planet. Int. 262, 41 (2017). https://doi.org/10.1016/j.pepi.2016.11.00210.1016/j.pepi.2016.11.002 ↗
27. F.D. Murnaghan, Finite Deformation of an Elastic Solid, vol. 140 (Wiley, New York, 1951)
28. J. Shanker, B. Singh, S.S. Kushwah, On the high-pressure equation of state for solids. Physica B 229, 419 (1997). https://doi.org/10.1016/S0921-4526(96)00528-510.1016/S0921-4526(96)00528-5 ↗
29. F. Birch, Elasticity and constitution of Earth’s interior. J. Geophys. Res. 57, 227 (1952). https://doi.org/10.1029/JZ057i002p0022710.1029/JZ057i002p00227 ↗
30. P. Vinet et al., Compressibility of solids. J. Geophys. Res. 92, 9319 (1987). https://doi.org/10.1029/JB092iB09p0931910.1029/JB092iB09p09319 ↗
31. K. Kholiya, High pressure isothermal equation of state for nanomaterials. Ind. J. Phys. 87, 339 (2013). https://doi.org/10.1007/s12648-012-0235-710.1007/s12648-012-0235-7 ↗
32. J. Ma, W. Li, G. Yang et al., Modeling the pressure dependent melting. Phys. Earth Planet. Inter. 309, 106602 (2020). https://doi.org/10.1016/j.pepi.2020.10660210.1016/j.pepi.2020.106602 ↗
33. K. Sunil, S. Rekha, S. Pushpendra, B.S. Sharma, A reinterpretation of the results for melting curves of metals based on the force-heat equivalence energy density principle. Comp. Cond. Matter 38, e00862 (2024). https://doi.org/10.1016/j.cocom.2023.e0086210.1016/j.cocom.2023.e00862 ↗
34. A.B. Belonoshko, E.I. Isaev, N.V. Skorodumova, B. Johansson, Stability of the body-centered tetrogonal phase of Fe at high pressure : ground-state energies, phonon spectra, and molecular dynamics simulations. Phys. Rev. B 74, 214102 (2006). https://doi.org/10.1103/PhysRevB.74.21410210.1103/PhysRevB.74.214102 ↗
35. A.B. Belonoshko, P.I. Dorogokupets, B. Johansson, S.K. Saxena, L. Kochi, Ab initio equation of state for the body-centered-cubic phase of iron at high pressure and temperature. Phys. Rev. B 78, 104107 (2008). https://doi.org/10.1103/PhysRevB.78.10410710.1103/PhysRevB.78.104107 ↗
36. A. Dewaele, P. Loubeyre, F. Occelli, M. Mezouar, P.I. Dorogokupets, M. Torrent, Quasihydrostatic equation of state of iron above 2 Mbar. Phys. Rev. Lett. 97, 215504 (2006). https://doi.org/10.1103/PhysRevLett.97.21550410.1103/PhysRevLett.97.215504 ↗
37. P.I. Dorogokupets, A.R. Oganov, Ruby, metals and MgO as alternative pressure scales: a semiempirical description of shock-wave ultrasonic, X-ray, and thermochemical data at high temperatures and pressures. Phys. Rev. B 75, 024115 (2007). https://doi.org/10.1103/PhysRevB.75.02411510.1103/PhysRevB.75.024115 ↗
38. P.K. Singh, Analysis of pressure–volume–temperature relationship for MgSiO3 perovskite. High Temp. High Press. 47, 269 (2018)
39. P.K. Singh, Equation of state and thermoelastic properties of Mg2SiO4. Comp. Cond. Matter 31, e00678 (2022). https://doi.org/10.1016/j.cocom.2022.e0067810.1016/j.cocom.2022.e00678 ↗
40. K. Sunil, K. Anand, B.S. Sharma, Pressure dependence of melting temperatures for alkali halides. Indian J. Pure Appl. Phys. 51, 444 (2013)
41. S.S. Kushwah, N.K. Bharadwaj, Analysis based on equation of state for sodium halides. J. Phys. Chem. Solids 70, 700 (2009). https://doi.org/10.1016/j.jpcs.2009.02.00710.1016/j.jpcs.2009.02.007 ↗
42. C. Wong, D.E. Schuele, The pressure derivatives of the elastic constants of CaF2. J. Phys. Chem. Solids 28, 1225 (1967). https://doi.org/10.1016/0022-3697(67)90065-010.1016/0022-3697(67)90065-0 ↗
43. U.D. Sharma, M. Kumar, Effect of pressure and temperature on CaF2 and ZnO. Indian J. Pure Appl. Phys. 53, 304 (2015)
44. C. Nisr et al., Thermal expansion of SiC at high pressure-temperature and implications for thermal convection in the deep interiors carbides exoplanets. J. Geophys. Res. Planets 122, 124 (2017). https://doi.org/10.1002/2016JE00515810.1002/2016JE005158 ↗
45. P. Franke, D. Neuschütz, Thermodynamic properties of inorganic materials. Binary systems. Part 2: elements and binary system from B–C to Cr–Zr, Landolt–Börnstein—group IV. Phys. Chem. 19B2 (2004). https://doi.org/10.1007/b7678310.1007/b76783 ↗
46. W.B. Holzapfel, Equations of state for solids under strong compression. Z. Kristallogr. 216, 473 (2001). https://doi.org/10.1524/zkri.216.9.473.2034610.1524/zkri.216.9.473.20346 ↗
47. R. Boehler, M. Ross, D.B. Boercker, Melting of LiF and NaCl at 1 Mbar: systematics of ionic solids at extreme conditions. Phys. Rev. Lett. 78, 4589 (1997). https://doi.org/10.1103/PhysRevLett.78.458910.1103/PhysRevLett.78.4589 ↗
48. A.B. Belonoshko, L.S. Dubrovinsky, Molecular dynamics of NaCl (B1 and B2) and MgO (B1) melting; two-phase simulation. Am. Miner. 81, 303 (1996). https://doi.org/10.2138/am-1996-3-40410.2138/am-1996-3-404 ↗
49. A. Zerr, R. Boehler, Constraints on the melting temperature of the lower mantle from high-pressure experiments on MgO and magnesioüstite. Nature (Lond) 371, 506 (1994). https://doi.org/10.1038/371506a010.1038/371506a0 ↗
50. L. Vocadlo, G.D. Price, The melting of MgO—computer calculations via molecular dynamics. Phys. Chem. Miner. 23, 42 (1996). https://doi.org/10.1007/BF0020299210.1007/BF00202992 ↗
51. D. Alfe, Melting curve of MgO from first-principles simulations. Phys. Rev. Lett. 94, 235701 (2005). https://doi.org/10.1103/PhysRevLett.94.23570110.1103/PhysRevLett.94.235701 ↗
52. R. Boehler, M. Ross, D.B. Boercker, High-pressure melting curves of alkali halides. Phys. Rev. B 53, 556 (1996). https://doi.org/10.1103/PhysRevB.53.55610.1103/PhysRevB.53.556 ↗
53. K. Okamoto, K. Fuchizaki, A one-phase approach for predicting the melting curve of MgO. J. Phys. Soc. Jpn. 86, 064602 (2017). https://doi.org/10.7566/JPSJ.86.06460210.7566/JPSJ.86.064602 ↗
54. M. Kumari, N. Dass, The melting laws. Phys. Stat. Solidi B 146, 105 (1988). https://doi.org/10.1002/pssb.222146010810.1002/pssb.2221460108 ↗
55. V.V. Kechin, Melting curve equations at high pressure. Phys. Rev. B 65, 052102 (2001). https://doi.org/10.1103/PhysRevB.65.05210210.1103/PhysRevB.65.052102 ↗
56. T. Kimura et al., Melting temperatures of MgO under high pressure by micro-texture analysis. Nat. Commun. 8, 15735 (2017). https://doi.org/10.1038/ncomms1573510.1038/ncomms15735 ↗
57. L. Pauling, The Nature of the Chemical Bond and the Structure of Molecules and Crystals (Cornell University Press, Ithaca, NY, 1993)
58. J.C. Phillips, Ionicity of the chemical bond in crystals. Rev. Mod. Phys. 42, 317 (1970). https://doi.org/10.1103/RevModPhys.42.31710.1103/RevModPhys.42.317 ↗
59. C. Cazorla, D. Errandonea, Superionicity and polymorphism in calcium fluoride at high pressure. Phys. Rev. Lett. 113, 235902 (2014). https://doi.org/10.1103/PhysRevLett.113.23590210.1103/PhysRevLett.113.235902 ↗
60. O.L. Anderson, The Grüneisen ratio for the last 30 years. Geophys. J. Int. 143, 229 (2000). https://doi.org/10.1046/j.1365-246X.2000.01266.x10.1046/j.1365-246X.2000.01266.x ↗
61. K. Ksiazek, T. Gorecki, Regularities in changes of the activation energy for self and impurity diffusion in alkali halides on passing through the melting point. Defect Diffus. Forum 143, 1265 (1997). https://doi.org/10.4028/www.scientific.net/DDF.143-147.126510.4028/www.scientific.net/DDF.143-147.1265 ↗
62. K. Ksiazek, T. Gorecki, Vacancies and a generalised melting curve of alkali halides. High Temp. High Press. 32, 185 (2000)10.1068/htwu325 ↗
63. K. Kholiya, J. Chandra, A theoretical model to study melting of metals under pressure. Mod. Phys. Lett. B 29, 1550161 (2015). https://doi.org/10.1142/S021798491550161410.1142/S0217984915501614 ↗
64. J. Shanker, K. Anand, B.S. Sharma, A. Vijay, On the applicability of Lindemann’s law for the melting of alkali metals. Int. J. Thermophys. 41, 1 (2020). https://doi.org/10.1007/s10765-020-02751-310.1007/s10765-020-02751-3 ↗
65. T.D. Cuong, A.D. Phan, Modification of the statistical moment method for the high pressure melting curve by the inclusion of thermal vacancies. Vacuum 179, 109444 (2020). https://doi.org/10.1016/j.vacuum.2020.10944410.1016/j.vacuum.2020.109444 ↗