Abstract
Piezoelectric interference between the acoustic modes and the overdamped ferroelectric fluctuations in KD2PO4 causes strong anisotropy in the critical quasi-elastic neutron scattering in the (001) plane. The phenomenological theory to describe these effects is extended here to predict the scattering at reciprocal-lattice points which have not been previously investigated, and the form of the anisotropy is found to be very sensitive to the relative atomic motions in the ferroelectric fluctuations. A comparison of these predictions with new neutron-scattering measurements, made at 5K above the ferroelectric transition in KD2PO4, shows that the atomic motions given by an existing determination are inconsistent with the observed anisotropy. An alternative set of motions is suggested and this leads to a satisfactory comparison of the theory with the new measurements of the asymmetry of the scattering.
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