The effect of hydrostatic and uniaxial pressure on the elastic constants of cadmium |
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| Institution: | 1. Laboratoire Magmas et Volcans, Université Blaise Pascal – CNRS – IRD, OPGC, 5 rue Kessler, 63038 Clermont-Ferrand, France;2. Laboratoire GéoSciences Réunion, Université de La Réunion, Institut de Physique du Globe de Paris, UMR CNRS 7154, Sorbonne Paris Cité, 15 avenue René Cassin, 97715 Saint-Denis, France;3. Université de Lyon, Université Jean Monnet, 23 rue du Docteur Paul Michelon, 42023 Saint Etienne, France;1. Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai, China;2. Istituto Nazionale di Geofisica e Vulcanologia, Osservatorio Etneo, Catania, Italy;3. Department of Geomatics Engineering, Bulent Ecevit University, Zonguldak 67100, Turkey |
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| Abstract: | The third order elastic constants of the hep metal cadmium have been determined from measurements of the hydrostatic and uniaxial pressure dependences of the velocities of ultrasonic waves propagated through single crystals. The hydrostatic pressure dependences of the second order elastic constants have also been obtained. The compression of cadmium has been estimated by extrapolation of the data up to high pressures by using the Murnaghan equation of state. Using the generalised Grüneisen theory in the quasiharmonic approximation, the long wavelength acoustic mode Grüneisen parameters have been obtained; the mean acoustic mode parameter is compared with the thermal Grüneisen parameter. In general the anisotropy of the vibrational anharmonicity of the acoustic modes is found to be consistent with the deviation of the c/a ratio of cadmium from that expected for an ideally close-packed metal. |
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