Effects of intrinsic anharmonicity in the Mie-Grüneisen equation of state and higher order corrections

High Pressure Research

Volumn 25, Issue 3, 2005, Pages 187-203

  Holzapfel, W B ^a  

^a UNIVERSITY OF PADERBORN   (Germany)

Author keywords

Anharmonicity; Equation of states; Lattice dynamics; Mie Gr neisen; Rare gas solids

Indexed keywords

APPROXIMATION THEORY; ARGON; HARMONIC ANALYSIS; HIGH TEMPERATURE EFFECTS; KRYPTON; LATTICE VIBRATIONS; QUANTUM THEORY;

ANHARMONICITY; INTERNAL ENERGY; MIE-GRÜNEISEN; RARE GAS SOLIDS;

EQUATIONS OF STATE;

EID: 27644442538     PISSN: 08957959     EISSN: 14772299     Source Type: Journal    
DOI: 10.1080/08957950500235900     Document Type: Article

References (47)

1. M.I. Eremets, High Pressure Experimental Methods (Oxford University Press, Oxford, 1996).
2. W.B. Holzapfel, Rep. Prog. Phys. 59 29 (1996).
3. W.B. Holzapfel and N. Isaacs (Editors), High Pressure Techniques in Chemistry and Physics (Oxford University Press, Oxford, 1997).
4. R.J. Hemley (Editor), Reviews in Mineralogy, volume 37 (Mineralogical Society of America, Washington, DC, 1998).
5. H. Mao and R.J. Hemley, Reviews in Mineralogy, volume 37, chapter 1 (Mineralogical Society of America, Washington, DC, 1998).
6. J. Xie, St. de Gironcoli, St. Baroni and M. Scheffler, Phys. Rev. B59 965 (1999).
7. V.N. Zharkov and V.A. Kalinin, in Equations of State for Solids at High Pressures and Temperatures, edited by A. Tybulewicz (Consultants Bureau, New York, 1971).
8. P. Choquard, The Anharmonic Crystal (Benjamin, New York, 1967).
9. D.C. Wallace, Thermodynamics of Crystals (John Wiley and Sons, New York, 1972).
10. O.L. Anderson, Equations of State of Solids for Geophysics and Ceramic Science (Oxford University Press, New York, 1995).
11. A.I. Karasevskii and V.V. Lubashenko, Phys. Rev. B 66 054302 (2002).
12. W.B. Holzapfel, G. Reiß, M. Hartwig and W. Sievers, J. Low Temp. Phys. 122 401 (2001).
13. W.B. Holzapfel, M. Hartwig and W. Sievers, J. Phys. Chem. Ref. Data 30 515 (2001).
14. W.B. Holzapfel, Z. Kristallogr. 216 473 (2001).
15. W.B. Holzapfel, J. Phys.: Condens. Matter 14 10525 (2002).
16. A.R. Oganov and P.I. Dorogokupets, Phys. Rev. B 67 224110 (2003).
17. A.R. Oganov and P.I. Dorogokupets, J. Phys.: Condens. Matter 16 1351 (2004).
18. A.I. Karasevskii and W.B. Holzapfel, Phys. Rev. B 67 224301 (2003).
19. A.I. Karasevskii and W.B. Holzapfel, Fizika Nizkikh Temperatur 29 951 (2003).
20. J.G. Kirkwood, J. Chem. Phys. 18 380 (1950).
21. W.W. Wood, J. Chem. Phys. 20 1334 (1952).
22. Z.W. Salsburg and W.W. Wood, J. Chem. Phys. 37 798 (1962).
23. Y. Wang, Phys. Rev. B 61 R11863 (2000).
24. Y. Wang and L. Li, Phys. Rev. B 62 196 (2000).
25. Y. Wang, D. Chen and X. Zang, Phys. Rev. Lett. 84 3220 (2000).
26. Y. Wang and Y. Sun, J. Phys.: Condens. Matter 12 L331 (2000).
27. Y. Wang, R. Ahuja and B. Johansson, J. Appl. Phys. 92 6616 (2002).
28. Y. Wang, R. Ahuja and B. Johansson, J. Phys.: Condens. Matter 14 7321 (2002).
29. P. Gillet, F. Guyot and J.M. Malezieux, Phys. Earth Planet. Inter. 58 141 (1989).
30. P. Gillet, A. Le Cléach and M. Madon, J. Geophys. Res. 95 21635 (1990).
31. P. Gillet, R.J. Hemley and P.F. McMillan, Reviews in Mineralogy, volume 37, chapter 17 (Mineralogical Society of America, Washington, DC, 1998).
32. E. Grüneisen, in Handbuch der Physik, edited by H. Geiger and K. Scheel (Springer Verlag, Berlin, 1926), p. 1.
33. M. Born and K. Huang, Dynamical Theory of Crystal Lattice (Oxford Clarendon Press, Oxford, 1954).
34. S. Eliezer, A. Ghatak, H. Hora and E. Teller, An Introduction to Equations of State: Theory and Applications (Cambridge University Press, Cambridge, 1986).
35. J.-P. Poirier, Introduction of the Physics of the Earth's Interior (Cambridge University Press, Cambridge, 1991).
36. P. Gillet, P. Richet, F. Guyot and G. Piquet, J. Geophys. Res. 96 11805 (1991).
37. P. Gillet, F. Guyot and Y. Wang, Geophys. Res. Lett. 23 3043 (1996).
38. K.A. Gschneidner Jr, Solid State Phys. 16 275 (1964).
39. J.C. Slater, Introduction to Chemical Physics (McGraw-Hill, New York, 1939), p. 513.
40. J.S. Dugdale and D.K.C. MacDonald, Phys. Rev. 89 832 (1953).
41. V.Y. Vashchenko and V.N. Zubasev, Fiz. Trerd. Tela (Leningrad) 3 886 (1963)
42. [Sov. Phys. Solid State 5 653 (1963)].
43. M.A. Barton and F.D. Stacey, Phys. Earth Planet. Inter. 39 167 (1985).
44. F.D. Stacey and P.M. Davis, Phys. Earth Planet. Inter. 142 137 (2004).
45. W.B. Holzapfel, High Press. Res. 16 81-126 (1998).
46. W.B. Holzapfel, Phys. Rev. B 67 026102 (2003).
47. A.I. Karasevskii and V.V. Lubashenko, Phys. Rev. B 71 012107 (2005).