Determination of elastic constants of trigonal crystals by the rectangular parallelepiped resonance method |
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| Institution: | 1. School of Mechanical Engineering, KIIT University, Bhubaneswar, Odisha, India;2. School of Applied Sciences, KIIT University, Bhubaneswar, Odisha, India;1. Bogolyubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Russia;2. Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, I-50019 Sesto Fiorentino (Firenze), Italy;3. Department of Nuclear Physics and Biophysics, Comenius University, Mlynská dolina F1, SK-842 15, Bratislava, Slovakia;4. Institute of Nuclear Physics ASCR, CZ-250 68 Řež, Czech Republic;1. Institute for Advanced Materials Research, Hiroshima University, Higashi-Hiroshima 739-8530, Japan;2. Institute for Sustainable Sciences and Development, Hiroshima University, Higashi-Hiroshima 739-8530, Japan;1. School of Applied Sciences, KIIT University, Bhubaneswar 751024, Odisha, India;2. Department of Chemistry, Veer Surendra Sai University of Technology, Burla, Sambalpur 768018, Odisha, India |
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| Abstract: | We present a theoretical method to calculate the resonance frequencies of a rectangular parallelepiped of a trigonal (D3, C3v, D3d crystal, and apply it to determine the elastic constants of Al2O3 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 Al2O3 agree well with previous data. This study offers a new tool for the determination of elastic constants of a trigonal crystal. |
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