

FIZIKA A 8 (1999) 2 , 7582 LATTICE VIBRATION ASPECT OF SOME METALLURGICAL PROPERTIES OF CUBIC CRYSTALSMUHAMMAD ZAKRIA BUTT and UM UL KALSOOM Metal Research Laboratories, Department of Physics, P.O. Box 1072, Received 28 August 1999; Accepted 11 October 1999The DebyeWaller thermal parameter B is a measure of the meansquare amplitude of atomic vibrations áu^{2}ñ. For monoatomic cubic crystals in which the vibrations are isotropic, B = 8páu^{2}ñ/3. In this study, it is observed that various metallurgical properties, e.g., ultimate tensile strength, creeponset temperature, recrystallisation temperature, activation energy for grain boundary selfdiffusion, solubility limit, etc. of cubic elements are a unique function of their Bfactors. The power regression formula Y = Y_{0}(B/B_{0})^{M} depicts the correlation between a metallurgical property Y and the DebyeWaller thermal parameter B. The regression coefficient Y_{0} and regression power M are determined by the leastsquares method, while B_{0} is a constant which makes the equation dimensionally homogeneous. PACS numbers: 64.75.+ g, 81.10.Jt, 81.40.Lm

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