Abstract
A simple and straightforward method for evaluating and predicting the volume and volumetric thermal expansivity for geophysical minerals at high temperatures is developed in this paper based on the approximations that the product of the thermal expansion coefficient and the isothermal bulk modulus as well as the isothermal bulk modulus are both linearly dependent with temperature. The tests on four geophysical minerals (MgO, CaO, \(\hbox {Al}_{2}\hbox {O}_{3}\), and \(\hbox {Mg}_{2}\hbox {SiO}_{4})\) lend strong support to the validity of this method. The analyses and comparisons presented here demonstrate that this method is far better than similar models given by earlier workers.
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References
M. Born, K. Huang, Dynamical Theory of Crystal Lattice (Oxford University Press, Oxford, 1954)
O.L. Anderson, D.G. Isaak, H. Oda, Rev. Geophys. 30, 57 (1992)
O.L. Anderson, Equations of State of Solids for Geophysics and Ceramic Science (Oxford University Press, New York, 1995)
I. Suzuki, S. Okajima, K. Seya, J. Phys. Earth 27, 63 (1979)
K. Wang, R.R. Reeber, J. Mater. Res. 11, 1800 (1996)
J. Shanker, S.S. Kushwah, P. Kumar, Physica B 233, 78 (1997)
V. Pal, M. Singh, B.R.K. Gupta, J. Phys. Chem. Solids 60, 1895 (1999)
K.S. Singh, R.S. Chauhan, Physica B 315, 74 (2002)
S.K. Srivastava, Solid State Sci. 8, 573 (2006)
Z.-H. Fang, J. Appl. Phys. 102, 013523 (2007)
D.G. Isaak, O.L. Anderson, T. Goto, Phys. Chem. Miner. 16, 703 (1989)
H. Oda, O.L. Anderson, D.G. Isaak, I. Suzuki, Phys. Chem. Miner. 19, 96 (1992)
T. Goto, S. Yamamoto, I. Ohno, O.L. Anderson, J. Geophys. Res. 94, 7588 (1989)
G.K. White, R.B. Roberts, High Temp. High Press. 15, 321 (1983)
D.G. Isaak, O.L. Anderson, T. Goto, J. Geophys. Res. 94, 5895 (1989)
K. Kajiyoshi, M.S. Thesis, Okayama University, Okayama, 1986
S.K. Srivastava, Physica B 387, 396 (2007)
K. Sivasubramanian, S. Raju, E. Mohandas, J. Eur. Ceram. Soc. 21, 1229 (2001)
M.A. Bouhifd, D. Andfault, G. Fiquet, P. Rich, Geophys. Res. Lett. 23, 1142 (1996)
T.A. Kompan, A.S. Korenev, A.Ya. Lukin, P.I. Antonov, V.M. Krymov, A.V. Moskalev, Meas. Technol. 42, 776 (1999)
H. Cynn, J.D. Carnes, O.L. Anderson, J. Phys. Chem. Solids 51, 1593 (1996)
G. Fiquet, P. Richet, G. Montagnac, Phys. Chem. Miner. 27, 103 (1999)
K. Masuda, D. Erskine, O.L. Anderson, Am. Miner. 85, 279 (2000)
Acknowledgments
The author is grateful to the reviewer for his comments that are very useful in revising the manuscript. This work was supported by the Natural Science Foundation of Anhui Provincial colleges and universities (Project No. KJ2011A140), People’s Republic of China.
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Fang, ZH. Temperature Dependence of Thermal Expansion for Geophysical Minerals. Int J Thermophys 36, 1577–1584 (2015). https://doi.org/10.1007/s10765-015-1881-8
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DOI: https://doi.org/10.1007/s10765-015-1881-8