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Higher order elastic constants in H.C.P. crystals
Author(s) -
Rose M. F.,
Ramsey R. T.
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.19680250108
Subject(s) - morse potential , lattice constant , third order , lattice (music) , hexagonal crystal system , physics , order (exchange) , function (biology) , hexagonal lattice , atomic physics , condensed matter physics , chemistry , crystallography , quantum mechanics , diffraction , philosophy , theology , finance , evolutionary biology , antiferromagnetism , acoustics , economics , biology
Expressions for the elastic constants for hexagonal close‐packed lattices are derived through third order, assuming, the atoms interact through a central potential function These expressions are then evaluated, using the Morse and Rydberg potential functions, for Be, Mg, Zn, Cd, and Tl. Comparisons are made between theory and experiment wherever possible. The effect of the axial ratio of the h.c.p. lattice on the eleastic constants is discussed and it is shown that both potential functions lead to lattice instabilities for Zn and Cd.