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Calculation of the Generalized Grüneisen Parameters for Acoustic Waves in Uniaxial Crystals from the Third Order Elastic Constants
Author(s) -
Rao R. Ramji,
Srinivasan R.
Publication year - 1968
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.19680290239
Subject(s) - anisotropy , thermal expansion , third order , condensed matter physics , materials science , lattice constant , acoustic wave , crystal (programming language) , order (exchange) , lattice (music) , constant (computer programming) , uniaxial crystal , thermodynamics , thermal , physics , optics , acoustics , diffraction , law , optical axis , finance , political science , computer science , economics , programming language , lens (geology)
The generalized Grüneisen parameters involved in the theory of thermal expansion of uniaxial crystals are defined. These GP's for the acoustic waves determine the behaviour of the anisotropic expansion at low temperatures. The calculation of these GP's from third order elastic constant data in uniaxial crystals is described. As an example, the third order elastic constants of a h.c.p. lattice with nearest neighbour central interaction are worked out and the GP's of acoustic waves propagating in different directions in the crystal are calculated for the case where this interaction is represented by a (6,12) Lennard‐Jones potential.