Soft-Mode Behavior in the Phonon Dispersion of YS

1978 ◽  
Vol 40 (7) ◽  
pp. 465-468 ◽  
Author(s):  
P. Roedhammer ◽  
W. Reichardt ◽  
F. Holtzberg
Keyword(s):  
Soft Mode ◽  
Phonon Dispersion ◽  
Mode Behavior

Zone-center soft mode behavior in the cubic phase of NaNbO3

1982 ◽  
Vol 41 (4) ◽  
pp. 345-349 ◽  
Author(s):  
F. Gervais ◽  
J.L. Servoin ◽  
J.F. Baumard ◽  
F. Denoyer
Keyword(s):  
Soft Mode ◽  
Cubic Phase ◽  
Mode Behavior

Soft-mode behavior in lanthanide-modified bismuth titanates

2017 ◽  
Vol 512 (1) ◽  
pp. 52-57
Author(s):  
Shunsuke Suzuki ◽  
Toru Mogami ◽  
Shota Nakamura ◽  
Yuhji Tsujimi ◽  
Makoto Iwata
Keyword(s):  
Soft Mode ◽  
Mode Behavior

Soft-Mode Behavior in Ternary Silicides MAlSi (M=Ca, Sr, Ba)

2007 ◽  
Vol 147 (3-4) ◽  
pp. 375-386 ◽  
Author(s):  
R. Heid ◽  
K. -P. Bohnen ◽  
B. Renker ◽  
P. Adelmann ◽  
T. Wolf ◽  
...  
Keyword(s):  
Soft Mode ◽  
Mode Behavior

Calculation of the Raman Linewidths of Lattice Modes Close to the α-β Transition in Quartz

2012 ◽  
Vol 31 (6) ◽  
pp. 741-747 ◽  
Author(s):  
Mustafa Cem Lider ◽  
Hamit Yurtseven
Keyword(s):  
Experimental Data ◽  
Critical Exponent ◽  
Power Law ◽  
Order Parameter ◽  
Quartz Crystal ◽  
Soft Mode ◽  
Energy Fluctuation ◽  
Mode Behavior ◽  
Lattice Mode ◽  
Lattice Modes

AbstractThe Raman frequencies of the lattice modes (147 cm−1 and 207 cm−1) are analyzed for the α-β transition in quartz according to a power-law formula with the critical exponent by using the experimental data. The temperature dependence of the Raman frequency is associated with the order parameter (polarization P) for this transition in the quartz crystal.The damping constant of the lattice modes studied here is calculated using the Raman frequencies at various temperatures for the α-β transition in quartz (Tc = 846 K) using the soft mode – hard mode and the energy fluctuation models. Our calculations for the damping constant (bandwidths) give an evidence that the lattice mode of the 147 cm−1 exhibits a soft mode behavior for the α-β transition in quartz.

Study of the soft mode behavior of doped and mixte BaTiO3single crystals by I.R. reflectometry

1984 ◽  
Vol 2 (5) ◽  
pp. 161-170 ◽  
Author(s):  
F. Gervais ◽  
J. L. Servoin ◽  
B. Jannot
Keyword(s):  
Soft Mode ◽  
Mode Behavior

scholarly journals High-Pressure Raman Study of Fe(IO3)3: Soft-Mode Behavior Driven by Coordination Changes of Iodine Atoms

2020 ◽  
Vol 124 (39) ◽  
pp. 21329-21337 ◽  
Author(s):  
Akun Liang ◽  
Saqib Rahman ◽  
Placida Rodriguez-Hernandez ◽  
Alfonso Muñoz ◽  
Francisco Javier Manjón ◽  
...  
Keyword(s):  
High Pressure ◽  
Soft Mode ◽  
Mode Behavior ◽  
Raman Study

Soft mode behavior in SrTiO3/DyScO3 thin films: Evidence of ferroelectric and antiferrodistortive phase transitions

2009 ◽  
Vol 95 (23) ◽  
pp. 232902 ◽  
Author(s):  
D. Nuzhnyy ◽  
J. Petzelt ◽  
S. Kamba ◽  
P. Kužel ◽  
C. Kadlec ◽  
...  
Keyword(s):  
Thin Films ◽  
Phase Transitions ◽  
Soft Mode ◽  
Mode Behavior

Soft mode behavior in PbTi1−xZbxO3

1974 ◽  
Vol 14 (11) ◽  
pp. 1137-1139 ◽  
Author(s):  
D. Bäuerle ◽  
Y. Yacoby ◽  
W. Richter
Keyword(s):  
Soft Mode ◽  
Mode Behavior

Thermodynamic Properties From Static-Lattice Calculations with Soft Modes

2002 ◽  
Vol 718 ◽  
Author(s):  
Graeme J. Ackland ◽  
Neil D. Drummond
Keyword(s):  
Phase Space ◽  
Thermodynamic Properties ◽  
Soft Mode ◽  
Model System ◽  
Structure Calculation ◽  
Zero Temperature ◽  
Mode Behavior ◽  
Simple Model System ◽  
Quantum Limits ◽  
Static Lattice

AbstractWhile phase transition pressures and zero temperature thermodynamic properties can be accurately determined from electronic structure calculation, transition temperatures are more problematic because of the need to sample phase space and quantise vibrations. The quasiharmonic method has proved extremely accurate for calculating thermodynamic properties up to 90% of the melting point without explicit phase space sampling for most materials, but has low temperature divergences for soft mode materials such as perovskites. Here we present a modified quasiharmonic method which avoids these difficulties. Using a simple model system, we demonstrate trends of behaviour in both the classical and quantum limits showing the importance of phonon quantisation in soft-mode behavior.

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