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Invariance of Sound Velocity Sums in Crystals
Author(s) -
Fitzgerald E. R.,
Wright T. W.
Publication year - 1967
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.19670240103
Subject(s) - monatomic gas , monatomic ion , speed of sound , elasticity (physics) , physics , sound wave , particle velocity , classical mechanics , mathematics , quantum mechanics , condensed matter physics , thermodynamics , acoustics
A relation between the lattice dissociation energy D of a monatomic crystal, the atomic mass m , and a mean crystal sound velocity c s recently suggested by Fitzgerald in connection with his particle‐wave description of non‐elastic deformation in solids is reviewed. The cited relation D=m c 2 s implies that certain sound velocity sums in crystals are invariant and this is shown to be the case for crystals in which small atomic displacements can be described by linear elasticity. The proposed relation between lattice dissociation energy and a mean squared sound velocity is therefore entirely consistent with classical elasticity theory although, of course, not predicted by it.