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Generalized Gruneisen parameters of elastic waves and the low-temperature thermal expansion of alumina from its third-order elastic-constant data

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Abstract

The generalized Gruneisen parameters (GP's) of elastic waves propagating in different directions in aluminum oxide are calculated from the measured second- and third-order elastic constants. These GP's in alumina are found to have small but positive values. The Brugger gammas are evaluated and the low-temperature limit of the Gruneisen gamma is calculated using the procedure of Ramji Rao and Srinivasan.\(\bar \gamma \) L has the value 1.37, indicating that the thermal expansion of alumina is positive down to 0 K.

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Authors and Affiliations

  1. Department of Physics, Indian Institute of Technology, Madras, India

    R. Ramji Rao & C. S. Menon

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  1. R. Ramji Rao
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  2. C. S. Menon
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Ramji Rao, R., Menon, C.S. Generalized Gruneisen parameters of elastic waves and the low-temperature thermal expansion of alumina from its third-order elastic-constant data. J Low Temp Phys 22, 325–333 (1976). https://doi.org/10.1007/BF00654711

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  • DOI: https://doi.org/10.1007/BF00654711

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