Abstract
An equation describing the change in the bulk modulus with the variation of the volume under high pressure or temperature is derived. It is shown that the derivatives ∂B/∂V for 56 metals and 120 ionic crystals MX (X = H, F, Cl, Br, I) vary from 4.2 to 5.4.
Similar content being viewed by others
References
Holzapfel, W.B. Equations of state for Solids under Strong Compressions, Z.Kristallogr. Sect. B 2001. V. 216 no. 9. pp. 473–488.
Vinet, P., Ferrante, J., Rose, J.H. Compressibility of Solids, J.Geophys. Res. B. 1987. V. 92. no. 9. pp. 9319–9325
Batsanov, S.S., Structural Chemistry. Facts and Dependencies. M. MSU, 2000.
Batsanov, S.S., Change of Nature of the Chemical Bond under Compression of Cristals, J. Str. Chem. 2005, V. 46. no 2. pp.314–322.
Cohen, M.L., Theory of Bulk Moduli of Hard Solids, Mater. Sci. Eng., A. 1988. V. 105/106. no 1. pp. 11–18.
Batsanov, S.S., Volume Elasticity Moduli of Cristalic Nonorganic Materials, Nonorg. Mat. 1999. V. 35. no. 9. pp.1144–1149.
Anderwson, O.L., Derivation of Wachtman’s Equation for the Temperature Dependence of Elastic Moduli of Oxide Compound, Phys. Rev. 1966. V. 144. no. 2. pp. 553–557.
Holzapfel, W.B., Hartwig, M., Sievers, W., Equations of State for Cu, Ag, and Au for Wide Rages in Temperature and Pressure up to 500 GPa and Above, J.Phys. Chem. Ref. Data. 2001. V. 30. no. 2. pp. 515–529.
Takemura, K., Bulk Modulus of Osmium: High-Pressure Powder x-Ray Diffraction Experiments under Quasihydrostatic Conditions, Phys. Rev. B. 2004. V. 70. pp. 012101.
Makino, Y., Empirical Determination of Bulk Modulus of Elemenetal Substances by Pseudopotential Radius, J.Alloys Compd. 1996. V. 242. no. 1–2. pp. 122–128.
Novikova, S.I., Thermal expansion of Solids. M.: Nauka, 1974.
Properties of Elements/Edd. Drits, M.E., M.: Ore and Metals, 2003.
Vinet, P., Rose, J.H., Ferrante, J., Smith, J.R., Universal Featires of the Equation of State of Solids, J. Phys. Condens. Matter. 1989. V.1. no.11. pp.1941–1963.
Simmons, G., Single Crystal Elastic Constants and Calculated Aggregate Proiperties, J.Grad. Res.Cent. 1965. V. 24. no. 1–2. pp. 1–269.
Ledbetter, H., Migliori, A., Betts, J., et al. Zero-Temperature Bulk Modulus of Alfa-Plutonium, Phys. Rev. B. 2005. V. 71. pp. 172101.
Ledbetter, H., Ogi, H., Kai, S., Kim, S. Elastic Constants of Body-Centered-Cubic Titanium Monocrystals, J.Appl. Phys. 2004. V. 95. no. 9. pp. 4642–4644.
Featherston, F.H., Neighbours, J.R., Elastic Constants of Ta, W, and Mo, Phys. Rev. 1963. V. 130. no. 4. pp.1324–1333.
Duffy, Th.S., Ahrens, Th.J., Dynamic Response of Molybdenum Shock Compressed at 1400°C, J.Appl. Phys. 1994. V. 76. no. 2. pp. 835–842.
Adams, J.J., Agosta, D.S., Leisure, R.G., Ledbetter, H., Elastics Constants of Monocrystal Iron from 3 to 500K, J. Appl. Phys. 2006. V. 100. pp.113530.
Cağin, T., Pettitt, B.M., Elastic Constants of Nickel: Variations with Respect to Temperature and Pressure, Phys. Rev. B. 1989. V. 39. no.17. pp. 12484–12491.
Ehm, I., Knorr, K., Dera, P. et al., Pressure-Induced Structural Phase Transition in the IV–VI Semiconductors, J. Phys. Condens. Matter. 2004. V. 16. no. 2. pp. 3545–3554.
Onodera, A., Mimasaka, M., Sakamot, I., et al., Structural and Electrical Properties of NiAs-type Compounds under Pressure, J.Phys. Chem. Solids. 1999. V. 60. no.2. pp.167–179.
Vaitheeswaran, G., Kanchana, V., Heathman, S., et al., Elastic Constants and High-Pressure Structural Transitions in Lanthanum Monochalcogenides from Experiment and Theory, Phys. Rev. B. 2007. V. 75. pp. 184108.
Author information
Authors and Affiliations
Additional information
Original Russian Text © S. S. Batsanov, 2009, published in Neorganicheskie Materialy, 2009, Vol. 45, No. 4, pp. 509–512.
Rights and permissions
About this article
Cite this article
Batsanov, S.S. Volume dependence of the bulk modulus of inorganic substances. Inorg Mater 45, 457–460 (2009). https://doi.org/10.1134/S0020168509040244
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0020168509040244