Abstract
Inelastic-neutron-scattering and electron-microscopy studies were performed on single crystals of the cubic phase of alloys for x=50, 58, 62.5, and 63.9 at. %. The [110]- phonon branch, corresponding to atomic displacements along the [1¯10] direction, is shown to exhibit anomalous behavior in that the entire branch is very sensitive to composition and exhibits a ‘‘kink’’ whose position in q space is also sensitive to x. A peak in the elastic diffuse scattering is also present at the same q as the kink. Amplitude-contrast electron-microscope images display a ‘‘tweed’’ pattern characteristic of many martensitically transforming materials. The high-resolution (phase-contrast) electron image reveals microscopic deviations of the cubic structure and can be viewed as embryos of the low-temperature (5,2¯) martensitic phase. The displacement fields associated with these distortions are shown to be the origin of the elastic central peak observed in the experiments. Temperature-dependence studies show a substantial softening of the phonon branch in the vicinity of the kink and the elastic diffuse scattering increases as T approaches , the martensitic-transformation onset temperature. The mode never becomes completely soft. Furthermore, the softening is narrowly restricted to the [1¯10] direction, which is perpendicular to [110]. Studies of the phonon dispersion curve under uniaxial stress show a softening of the phonon mode near the q value of the kink, which can be interpreted in terms of Clapp’s proposed localized-soft-mode theory of nucleation of materials undergoing martensitic transformation.
- Received 17 April 1991
DOI:https://doi.org/10.1103/PhysRevB.44.9301
©1991 American Physical Society