FIZIKA A 8 (1999) 2 , 75-82

LATTICE VIBRATION ASPECT OF SOME METALLURGICAL PROPERTIES OF CUBIC CRYSTALS

MUHAMMAD ZAKRIA BUTT and UM UL KALSOOM

Metal Research Laboratories, Department of Physics, P.O. Box 1072,
Government College, Lahore-54000, Pakistan

Received 28 August 1999; Accepted 11 October 1999

The Debye-Waller thermal parameter B is a measure of the mean-square amplitude of atomic vibrations áu²ń. For monoatomic cubic crystals in which the vibrations are isotropic, B = 8páu²ń/3. In this study, it is observed that various metallurgical properties, e.g., ultimate tensile strength, creep-onset temperature, recrystallisation temperature, activation energy for grain boundary self-diffusion, solubility limit, etc. of cubic elements are a unique function of their B-factors. The power regression formula Y = Y₀(B/B₀)^M depicts the correlation between a metallurgical property Y and the Debye-Waller thermal parameter B. The regression coefficient Y₀ and regression power M are determined by the least-squares method, while B₀ is a constant which makes the equation dimensionally homogeneous.

PACS numbers: 64.75.+ g, 81.10.Jt, 81.40.Lm
UDC 531.452, 531.44, 538.911

Keywords: Debye-Waller thermal parameter, ultimate tensile strength, creep-onset temperature, recrystallisation temperature, activation energy for growth, solubility limit, cubic metals

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