Applicability of isothermal three-parameter equations of state of solids - A reappraisal

Journal of Physics Condensed Matter

Volumn 17, Issue 39, 2005, Pages 6193-6216

  Roy, Papiya Bose ^a   Roy, Sushil Bose ^a  

^a T M BHAGALPUR UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

COMPACTION; ELASTIC MODULI; INTERPOLATION; ISOTHERMS; PRESSURE EFFECTS; REGRESSION ANALYSIS;

PRESSURE/COMPRESSION RANGES; RANDOMIZATION; RELATIVE UTILITY; THREE-PARAMETER EQUATIONS;

EQUATIONS OF STATE OF SOLIDS;

EID: 25144444818     PISSN: 09538984     EISSN: None     Source Type: Journal    
DOI: 10.1088/0953-8984/17/39/007     Document Type: Review

References (88)

1. Tait P G 1888 Physics and Chemistry of the Voyage of H.M.S. Challenger vol 2 part 4 (London: HMSO)
2. Dymond J H and Malhotra R 1988 Int. J. Thermophys. 9 941
3. Murnaghan F D 1937 Am. J. Math. 59 235
4. Murnaghan F D 1944 Proc. Natl Acad. Sci. USA 30 244
5. Murnaghan F D 1951 Finite Deformation of an Elastic Solid (New York: Wiley)
6. Murnaghan F D 1967 Finite Deformation of an Elastic Solid (New York: Dover)
7. Birch F 1938 J. Appl. Phys. 9 279
8. Birch F 1939 Bull. Seismol. Soc. Am. 29 463
9. Birch F 1947 Phys. Rev. 71 809
10. Birch F 1952 J. Geophys. Res. 57 227
11. Birch F 1978 J. Geophys. Res. 83 1257
12. Slater J C 1939 Introduction to Chemical Physics (New York: McGraw-Hill) p 521
13. Keane A 1953 Nature 172 117
14. Keane A 1954 Aust. J. Phys. 7 322
15. Davis L A and Gordon R B 1967 J. Chem. Phys. 46 2650
16. Anderson O L 1968 Phys. Earth Planet. Inter. 1 169
17. Thomsen L 1970 J. Phys. Chem. Solids 31 2003
18. Mao N H 1970 J. Geophys. Res. 75 7508
19. Grover R, Getting C and Kennedy G C 1973 Phys. Rev. B 7 567
20. Huang Y K and Chow C Y 1974 J. Phys. D: Appl. Phys. 7 2021
21. Stacey F D, Brennan B J and Irvine R D 1981 Geophys. Surv. 4 189
22. Anderson M S and Swenson C A 1983 Phys. Rev. B 28 5395
23. Rose J H, Smith J R, Guinea F and Ferrante J 1984 Phys. Rev. B 29 2963
24. Vinet P, Ferrante J, Smith J R and Rose J H 1986 J. Phys. C: Solid State Phys. 19 L467
25. Fang Z H 1998 Phys. Rev. B 58 20
26. Dodson B W 1987 Phys. Rev. B 35 2619
27. Sikka S K 1988 Phys. Rev. B 38 8463
28. Freund J and Ingalls R 1989 J. Phys. Chem. Solids 51 263
29. Kumari M and Dass N 1990 J. Phys.: Condens. Matter 2 3219
30. Holzapfel W B 1991 Europhys. Lett. 16 67
31. Parsafar G and Mason E A 1994 Phys. Rev. B 49 3049
32. Baonza V G, Caceres M and Nunez Z 1995 Phys. Rev. B 51 28
33. Holzapfel W B 1996 Rep. Prog. Phys. 59 29
34. Hama J and Suito K 1996 J. Phys.: Condens. Matter 8 67
35. Poirier J P and Tarantola A 1998 Phys. Earth Planet. Inter. 109 1
36. Bose Roy S and Bose Roy P 1999 J. Phys.: Condens. Matter 11 10375
37. Bose Roy P and Bose Roy S 2003 J. Phys.: Condens. Matter 15 1643
38. Deng X Q and Yan Z T 2002 High Temp.-High Pressures 34 387
39. Sushil K, Arunesh K, Singh P K and Sharma B S 2004 Physica B 352 134
40. Saxena S K 2004 J. Phys. Chem. Solids 65 1561
41. Stacey F D and Davis P M 2004 Phys. Earth Planet. Inter. 142 137
42. Ponkratz U and Holzapfel W B 2004 J. Phys.: Condens. Matter 16 S963
43. Sun J X, Wu Q, Cai L C and Jing F Q 2005 J. Phys. Chem. Solids 66 773
44. Sun J X 2005 J. Phys.: Condens. Matter 17 L103
45. Hofmeister A M 1991 J. Geophys. Res. 96 21893
46. Birch F 1986 J. Geophys. Res. 91 4949
47. Schlosser H 1993 Phys. Rev. B 48 6646
48. Kim H S, Graham E K and Voigt D E 1989 Trans. Am. Geophys. Union 70 1368
49. Spetzler H, Sammis C G and O' Connell R J 1972 J. Phys. Chem. Solids 33 1727
50. Anderson O L 1995 Equations of State of Solids for Geophysical and Ceramic Science (New York: Oxford University Press)
51. Macdonald J R and Powell D R 1971 J. Res. Natl Bur. Stand. A 75 441
52. Schlosser H and Ferrante J 1988 Phys. Rev. B 37 4351
53. Sato Y 1977 High-Pressure Research: Applications in Geophysics ed M H Manghani and S Akimoto (San Diego, CA: Academic) p 307
54. Angel R J and Ross N L 1996 Phil. Trans. R. Soc. A 354 1449
55. Mathews J H 1994 Numerical Methods for Mathematics, Science, and Engineering 2nd edn (New Delhi: Prentice-Hall of India) p 278
56. Carter W J, Marsh S P, Fritz J N and McQueen R G 1971 Accurate Characterization of the High Pressure Environment Special Publication No 326 ed E C Lyod (Washington, DC: US Government Printing Office) p 147
57. Fritz J N, Marsh S P, Carter W J and McQueen R G 1971 Accurate Characterization of the High Pressure Environment Special Publication No 326 ed E C Lyod (Washington, DC: US Government Printing Office) p 201
58. Nellis W J, Moriarty J A, Mitchell A C, Ross M, Dandrea R G, Aschcroft N W, Holmes N C and Gathers G R 1988 Phys. Rev. Lett. 60 1414
59. Hixson R S and Fritz J N 1992 J. Appl. Phys. 71 1721
60. Freund J and Ingalls R 1989 Phys. Rev. B 39 12537
61. Simmons G and Wang H 1971 Single Crystal Elastic Constants and Calculated Aggregate Properties 2nd edn (Cambridge: MIT)
62. Kittel C 1976 Introduction to Solid State Physics 5th edn (New York: Wiley)
63. Ullmann W and Pan'kov V L 1976 Zentralinstitut fur Physik der Erde, Potsdam
64. Greene R G, Luo H and Ruoff A L 1994 Phys. Rev. Lett. 73 2075
65. Swenson C A 1968 J. Phys. Chem. Solids 29 1337
66. Vant't Klooster P, Traphenters N J and Biswas S N 1979 Physica B 97 65
67. Anderson O L 1966 J. Phys. Chem. Solids 27 547
68. Holzapfel W B 1997 High-Pressure Techniques in Chemistry and Physics ed W B Holzapfel and N S Isaacs (New York: Oxford University Press) p 47
69. Wang K and Reeber R R 1997 High Temp. Mater. Sci. 36 185
70. Jeanloz R 1992 High Pressure Research in Geophysics ed M H Manghnani and S Akimoto (Tokyo: Center of Academic Publications) p 147
71. Mao H K and Bell P M 1979 J. Geophys. Res. 84 4533
72. Anderson O L and Andreatch P Jr 1966 J. Am. Ceram. Soc. 49 404
73. Barch G R and Chang Z P 1971 Accurate Characterization of the High Pressure Environment Special Publication NBS Circular no 326 ed E C Lyod (Washington, DC: US Government Printing Office) p 173
74. Chisolm E D, Crockett S D and Wallace D C 2003 Phys. Rev. B 68 104103
75. Luo S N, Swift D C, Mulford R N, Drummond N D and Ackland G J 2004 J. Phys.: Condens. Matter 16 5435
76. Hanfland M, Loa I and Syassen K 2002 Phys. Rev. B 65 184109
77. Kunc K, Loa I and Syassen K 2003 Phys. Rev. B 68 094107
78. Stacey F D 2001 Phys. Earth Planet. Inter. 128 179
79. Partington J R 1957 An Advanced Treatise on Physical Chemistry vol 3 (London: Longmans) p 345
80. Macdonald J R 1969 Rev. Mod. Phys. 41 316
81. Katahara K W, Manghnani M H, Ling L C and Fisher E S 1997 High Pressure Research Applications in Geophysics ed M H Manghnani and S Akimoto (New York: Academic) p 351
82. Lundqvist B I, Bogicevic A, Carling K, Dudiy S V, Gao S, Hartford J, Hyldgaard P, Jacobson N, Langreth D C, Lorente N, Ovesson S, Razaznejad B and Yourdshahyan Y 2001 Surf. Sci. 493 253
83. Ziambaras E and Scroder E 2003 Phys. Rev. B 68 064112
84. Yourdshahyan Y, Ruberto C, Bengtsson L and Lundqvist B I 1997 Phys. Rev. B 56 8553
85. Gaurav S, Sharma B S, Sharma S B and Upadhyaya S C 2002 Physica B 322 328
86. Hayard A T J 1967 Br. J. Appl. Phys. 18 965
87. Span R and Wagner W 1997 Int. J. Thermophys. 18 1415
88. He D, Zhao Y, Daemen L L, Qian J, Lokshin K, Shen T D and Zhang J 2004 J. Appl. Phys. 95 4645