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Third‐Order Elastic Constants and the Pressure Derivatives of the Second‐Order Elastic Constants of Rare Gas Solids
Author(s) -
Lehri S.,
Verma M. P.
Publication year - 1980
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.2220980245
Subject(s) - thermodynamics , order (exchange) , third order , constant (computer programming) , exponential function , rare gas , elastic modulus , bulk modulus , first order , function (biology) , chemistry , mathematics , physics , mathematical analysis , atomic physics , philosophy , finance , evolutionary biology , biology , computer science , economics , programming language , theology
Expressions für the third‐order elastic constants (TOEC) and the first‐order pressure derivatives of the second‐order elastic constants (SOEC) of rare gas solids are derived from a many‐body potential proposed in an earlier paper. The model parameters are evaluated from the three SOEC, the equilibrium condition, and (1) the experimental values of the pressure derivatives of the bulk modulus (d K T /d P ) or (2) by approximating the three‐body potential to an exponential function. The values of the TOEC and the pressure derivatives of the SOEC evaluated by the two methods are tabulated.

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