Abstract
The Nie expression is amended in such a way that the expression follows the infinite pressure behaviour, i.e., \(P\to \infty \) or V → 0. A new empirical relationship is developed to predict the values of volume dependence of Grüneisen parameter. NaCl and ε-Fe have been employed to test the suitability of the expression. The results obtained reveal that the relationship is reliable as there is a good agreement between the calculated and the experimental data.
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References
F A Lindemann, Z. Phys. 11, 609 (1910)
J J Gilvarry, Phys. Rev. Lett. 16, 1089 (1966)
E Grüneisen, Ann. Phys. (Leipzig) 39, 257 (1912)
L A Girifalco, Statistical mechanics of solids (Oxford University Press, Oxford, 2000) Sec. 5.2
T H K Barron, Ann. Phys. (N.Y.) 1, 77 (1957)
F Birch, J. Geophys. Res. 91, 4949 (1986)
L Vocadlo, J P Poirer and G D Price, Am. Miner. 85, 390 (2000)
V N Zharkov and V A Kalinin, Equations of state for solids at high pressures and temperatures (Consultants Bureau, New York, 1971)
J C Slater, Introduction to chemical physics (McGraw-Hill, New York, 1939) Chapter 12
J C Dugdale and K C MacDonald, Phys. Rev. 89, 832 (1953)
V Ya Vashchenko and V N Zubarev, Sov. Phys. Solid State 5, 653 (1963)
M A Barton and F D Stacey, Phys. Earth Planet Inter. 39, 167 (1985)
F D Stacey and P M Davis, Phys. Earth Planet Inter. 142, 137 (2004)
S B Segletes and W P Walters, J. Phys. Chem. Sol. 59, 425 (1998)
Z H Fang, Phys. Status Solidi B 197, 39 (1996)
C H Nie, Phys. Status Solidi B 219, 241 (2000)
N C Hui and S X Bao, J. Phys. Chem. Sol. 62, 1359 (2001)
G L Cui and L R Chen, Phys. Status Solidi B 237, 454 (2003)
Q Liu and L R Chen, Phys. Status Solidi B 241, 2477 (2004)
S K Srivastava, Ind. J. Phys. 80, 247 (2006)
G L Cui and R L Yu, Physica B 390, 220 (2007)
S K Sharma, Mod. Phys. Lett. B 22/31, 3113 (2008)
S K Srivastava and P Sinha, Physica B 404, 4316 (2009)
A Vijay, Ind. J. Pure Appl. Phys. 49, 825 (2011)
R Jeanloz, J. Geophys. Res. 94, 5929 (1989)
X C Peng, L L Xing and Z H Fang, Physica B 394, 111 (2007)
F D Stacey, Rep. Prog. Phys. 68, 341 (2005)
J Shanker, P K Singh and S Saurabh, Ind. J. Pure Appl. Phys. 53/4, 230 (2015)
W M Elsasser, Science 113, 105 (1951)
L Knopoff, J. Geophys. Res. 68, 2929 (1963)
W B Holzapfel, Rep. Prog. Phys. 59, 29 (1996)
L Burakovsky and D L Preston, J. Phys. Chem. Sol. 65, 1581 (2004)
V P Kopyshev, Doklady Acad. Sci. USSR 161, 1067 (1965) ; Sov. Phys. Doklady 10, 338 (1965)
W B Holzapfel, M Hartwig and W Sievers, J. Phys. Chem. Ref. Data 30, 515 (2001)
S K Srivastava, P Sinha and N Verma, High Temp.- High Pres. 40, 169 (2011)
O L Anderson, L Dubrovinski, S K Saxena and T Lebihan, Geophys. Res. Lett. 28, 399 (2001)
H Septzler, J. Phys. Chem. Sol. 33, 1727 (1972)
L L Xing, X C Peng and Z H Fang, J. Phys. Chem. Sol. 69, 2341 (2008)
O L Anderson, Equation of state of solids for geophysics and ceramic sciences (Oxford University Press, New York , 1995)
M Taravillo, V G Baonza, J Nuhez and M Caceres, Phys. Rev. B 54, 7034 (1996)
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KUMAR, S., SHARMA, S.K. & PANDEY, O.P. Brief report: Volume dependence of Grüneisen parameter for solids under extreme compression. Pramana - J Phys 87, 21 (2016). https://doi.org/10.1007/s12043-016-1220-z
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DOI: https://doi.org/10.1007/s12043-016-1220-z