Abstract
Displacive structural phase transitions (i.e. diffusionless) comprise a significant fraction of all phase transformations. Interest among materials scientists was greatly stimulated by the idea put forth by Cochran and by Anderson that some phonons “softened” to ω 2 s → 0 at a transition temperature, and thereby the transformed material adopted the displacement patterns of that soft mode. This simple, but powerful, idea has stimulated many experiments over the past 30 years. However, after a few early successes (A-15, perovskites, K2Se04) in which a special mode did soften, more careful and extensive study has shown that hardly any materials transform in this manner. Although they have phonon anomalies, and product structures are related to those, it is clear that a different explanation is needed. This paper suggests an alternative mechanism, taking into account nonlinear effects leading to perhaps weak but definitely first order transition.
Director’s Fellow, Los Alamos National Laboratory; Conference support from the Los Alamos Center for Materials Science. Partial support from U.S. Dept. of Energy, Contract DE-FG02-85ER45214.
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Krumhansl, J.A. (1988). Competing Displacive Interactions, Phonon Anomalies, and Structural Transitions Which Do Not “Soften”. In: LeSar, R., Bishop, A., Heffner, R. (eds) Competing Interactions and Microstructures: Statics and Dynamics. Springer Proceedings in Physics, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73498-4_4
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