Theory of Soft Optic Modes and Phase Transitions inβWStructure Transition-Metal Alloys

Abstract
A calculation of the phonon frequencies of the βW structure crystals shows that long-wavelength optic-mode instabilities occur. These are associated with a high density of electronic states in the transition-metal d bands. The Γ15() and Γ25() optic modes soften: these are consistent with a second-order structural phase transition.