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Srivastava, S. K.
- Temperature Dependent Anharmonic Properties of Calcium Oxide Crystal
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The theory obtained is applied to get the higher order elastic constants for Calcium oxide crystal at different higher temperatures and the results obtained are presented graphically and discussed widely.
Authors
Affiliations
1 Department of Physics, Govt. Girls P. G. College, Banda-210001, U.P., IN
2 D.A.V. Inter College, Banda-210001, U.P., IN
3 Department of Physics, BN PG College, Rath, Hamirpur-210431, U.P., IN
4 Department of Physics, Bundelkhand University, Jhansi-284128, U.P., IN
1 Department of Physics, Govt. Girls P. G. College, Banda-210001, U.P., IN
2 D.A.V. Inter College, Banda-210001, U.P., IN
3 Department of Physics, BN PG College, Rath, Hamirpur-210431, U.P., IN
4 Department of Physics, Bundelkhand University, Jhansi-284128, U.P., IN
Source
Journal of Pure and Applied Ultrasonics, Vol 35, No 1 (2013), Pagination: 30-34Abstract
The Calcium oxide crystal possesses well developed structure of the NaCl-type and is divalent in nature. Oxides and silicates make up the bulk of the Earth's mantle and crust, and thus it is important to predict their behaviour. The elastic energy density for a deformed crystal can be expanded as a power series of strains using Taylor's series expansion. One can get this expansion starting from nearest neighbour distance and hardness parameter utilizing Coulomb and Born-Mayer potentials for face centred cubic crystal symmetry. The coefficients of the quadratic, cubic and quartic terms are known as the second, third and fourth order elastic constants (SOECs, TOECs and FOECs) respectively. When the values of second and third order elastic constants and density for any material at a particular temperature are known; one may get ultrasonic velocities for longitudinal and shear waves in different crystallographic directions which give important information about its anharmonic properties.The theory obtained is applied to get the higher order elastic constants for Calcium oxide crystal at different higher temperatures and the results obtained are presented graphically and discussed widely.