Abstract

Dispersion relations, the lattice specific heat, third-order elastic constants, and the temperature variation of the lattice volume Grueneisen function of lutetium are determined on the basis of Keating's method. The lattice heat capacity is calculated using the frequency distribution function g(..omega..), and compared with the experimental values of Gerstein et al. The third-order elastic (TOE) constants are calculated using two anharmonic parameters. The low- and high-temperature limits ..gamma../sub L/ and ..gamma../sub H/ of the lattice thermal expansion are evaluated. The variation of lattice volume Grueneisen function with temperature is presented. The pressure dependence of the lattice parameters and the compression ratio V/V/sub 0/ of Lu are calculated using the theoretical TOE constants and Thurston's extrapolation formula.

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