O.F. Schirmer, W. Berlinger, et al.
Solid State Communications
The complete set of elastic constants in single-crystal gadolinium molybdate (GMO) is presented in a temperature range from 20 to 200 °C. This covers the structural phase transition at 159 °C, below which GMO is both ferroelastic and ferroelectric. Elastic constants in both phases behave as c(T)=c()+A|T0-T|-K, where K ranges from 0.76 to 0.90. Some components of the critical part of the elastic tensor, δcαβ=cαβ(T)-cαβ(), are interrelated. The relations are δc122=δc11δc22 for both phases. From this relation and from the Curie-Weiss-like behavior of the elastic constants we conclude that (i) the soft mode near the M point of the tetragonal cell k→0=(πa, πa, 0) interacts anharmonically with acoustic phonons and gives rise to critical softening of specific elastic constants; and (ii) the findings are compatible with a dispersion relation near k0 of the form ω2(k)=ω2(k0)+αx(kx-πa)2+αy×(ky-πb)2+α zqz2, with αx=αyαz. A comparison is made with the elastic tensor in quartz. © 1972 The American Physical Society.
O.F. Schirmer, W. Berlinger, et al.
Solid State Communications
C.M. Brown, L. Cristofolini, et al.
Chemistry of Materials
William Hinsberg, Joy Cheng, et al.
SPIE Advanced Lithography 2010
S.F. Fan, W.B. Yun, et al.
Proceedings of SPIE 1989