Determination of elastic constants of trigonal crystals by the rectangular parallelepiped resonance method

We present a theoretical method to calculate the resonance frequencies of a rectangular parallelepiped of a trigonal ( D 3, C 3v, D 3d crystal, and apply it to determine the elastic constants of Al 2O 3 by the rectangular parallelepiped resonance (RPR) method. We demonstrate complete agreement betwe...

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Bibliographic Details
Published in:The Journal of physics and chemistry of solids 1986, Vol.47 (12), p.1103-1108
Main Authors: Ohno, Ichiro, Yamamoto, Shigeru, Anderson, Orson L., Noda, Jiro
Format: Article
Language:English
Subjects:
Condensed matter: structure, mechanical and thermal properties
corundum
Elastic constants
Elasticity, elastic constants
Exact sciences and technology
Mechanical and acoustical properties of condensed matter
Mechanical properties of solids
Physics
resonance method
RPR method
trigonal
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Summary:We present a theoretical method to calculate the resonance frequencies of a rectangular parallelepiped of a trigonal ( D 3, C 3v, D 3d crystal, and apply it to determine the elastic constants of Al 2O 3 by the rectangular parallelepiped resonance (RPR) method. We demonstrate complete agreement between observed and calculated resonance spectra up to the thirty-ninth mode. The determined elastic constants of Al 2O 3 agree well with previous data. This study offers a new tool for the determination of elastic constants of a trigonal crystal.
ISSN:0022-3697
1879-2553
DOI:10.1016/0022-3697(86)90141-1