Abstract

The relative stabilities of HCP, BCC and isotropic melt phases may be estimated from the temperatures at which the HCP phase 'melts' to either of two different anisotropic 'worm' fluids. The transition temperature HCP to BCC, Tc, and the melting point, Tm, in this model depend for any metal only on the elastic constants C66, C44, C11 and C33 and two empirical parameters which are ratios of entropy changes. More direct knowledge of possible pseudo-potentials is not required. An effective anisotropy is defined in the shear elastic constants of the HCP phase A' which is independent of the two empirical parameters. For A' A'max the HCP phase is always expected to be unstable relative to BCC. The absolute values of Tc and Tc/Tm, are calculated with a standard deviation from the experimental values of 20%.

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