Brillouin spectroscopy of the incommensurate—commensurate phase transition in barium sodium niobate
- 1 February 1986
- journal article
- research article
- Published by Taylor & Francis in Phase Transitions
- Vol. 6 (3) , 175-233
- https://doi.org/10.1080/01411598608218307
Abstract
Small angle and large-angle Brillouin scattering have been used to measure the sound velocity and damping of longitudinal waves propagating along (C11 and perpendicular to (C22) the incommensurate axis in Ba2NaNb5O15. For each mode strong dispersion is observed, with relaxation time 2πτ of order 1.3 × 1011s near T 1. For C11τ(T) satisfies with 2πτ0 = (1.08 ± 0.13) × 10−12s; 2πτ1 = (8.5 ± 0.7) × 10−11 s; and thediffusivity D = 1.3 cm2/s. This approximately 65 times larger than the thermal diffusivity of entropy fluctuations and implies a dynamic “central mode” for right-angle geometry light scattering of ≃60GHz. This mode is ten times the width observed for phason (soliton) diffusion by Lyons et al. in BaMnF4; it is not directly observed in the present work. For LA sound waves perpendicular to the incommensurate axis that is, τ1 and D are the same as for C11 but τ0 −1 is neligible. τ0 is interpreted as due to amplitude mode-acoustic mode interaction; τ1, and D are interpreted as interaction of acoustic modes with mobile defects, presumably soliton-like kinks in the incommensurate structure.Keywords
This publication has 46 references indexed in Scilit:
- Dielectric Dispersion of K2SeO4and Rb2ZnCl4around Incommensurate-Commensurate Transition PointsJapanese Journal of Applied Physics, 1980
- Correction of Brillouin linewidths measured by multipass Fabry-Perot spectroscopyApplied Optics, 1977
- Theory of discommensurations and the commensurate-incommensurate charge-density-wave phase transitionPhysical Review B, 1976
- Theory of the ferroelastic transition in barium sodium niobatePhysical Review B, 1975
- Caractère impropre de la transition ferroélastique du niobate de baryum et de sodiumJournal de Physique Lettres, 1975
- Elastic Constants and Soft Optical Modes in Gadolinium MolybdatePhysical Review B, 1972
- Phonon Instabilities and Interactions near Solid-State Phase TransitionsThe Journal of the Acoustical Society of America, 1971
- Elastic and Piezoelectric Constants of Ba2NaNb5O15Journal of Applied Physics, 1969
- Barium sodium niobate (Ba(4+x)Na(2−2x)Nb10O30): crystallographic data and thermal expansion coefficientsJournal of Applied Crystallography, 1968
- THE NONLINEAR OPTICAL PROPERTIES OF Ba2NaNb5O15Applied Physics Letters, 1967