scholarly journals Algebraic search for cooperative rotational rigid-unit modes

2018 ◽  
Vol 74 (a1) ◽  
pp. a286-a286
Author(s):  
Branton J. Campbell ◽  
Tyler Averett ◽  
Christopher Yost ◽  
Shae Machlus ◽  
Harold T. Stokes ◽  
...  
Keyword(s):  
1997 ◽  
Vol 61 (1-4) ◽  
pp. 141-153 ◽  
Author(s):  
Alexandra K.A. Pryde ◽  
Kenton D. Hammonds ◽  
Martin T. Dove ◽  
Volker Heine ◽  
Julian D. Gale ◽  
...  

2005 ◽  
Vol 95 (25) ◽  
Author(s):  
Matthew G. Tucker ◽  
Andrew L. Goodwin ◽  
Martin T. Dove ◽  
David A. Keen ◽  
Stephen A. Wells ◽  
...  

2000 ◽  
Vol 27 (4) ◽  
pp. 285-290 ◽  
Author(s):  
S. A. Hayward ◽  
A. K. A. Pryde ◽  
R.F. de Dombal ◽  
M. A. Carpenter ◽  
M. T. Dove

2014 ◽  
Vol 70 (3) ◽  
pp. 283-290 ◽  
Author(s):  
M. Smirnov ◽  
P. Saint-Grégoire

Tetragonal tungsten bronze (TTB) oxides are one of the most important classes of ferroelectrics. Many of these framework structures undergo ferroelastic transformations related to octahedron tilting deformations. Such tilting deformations are closely related to the rigid unit modes (RUMs). This paper discusses the whole set of RUMs in an ideal TTB lattice and possible crystal structures which can emerge owing to the condensation of some of them. Analysis of available experimental data for the TTB-like niobates lends credence to the obtained theoretical predictions.


2018 ◽  
Vol 255 (12) ◽  
pp. 1800196 ◽  
Author(s):  
Božidar Nikolić ◽  
Zoran P. Popović ◽  
Ivanka Milošević ◽  
Milan Damnjanović
Keyword(s):  

Author(s):  
Martin T. Dove ◽  
Kostya O. Trachenko ◽  
Matthew G. Tucker ◽  
David A. Keen
Keyword(s):  

1995 ◽  
Vol 59 (397) ◽  
pp. 629-639 ◽  
Author(s):  
Martin T. Dove ◽  
Volker Heine ◽  
Kenton D. Hammonds

AbstractWe describe a model for framework silicates in which the SiO4 (and AlO4) tetrahedra are treated as perfectly rigid and freely jointed. From this model we are able to identify low-energy modes of distortion of the structure, which we call Rigid unit modes. These modes can act as soft modes to allow easy distortions at phase transition. We discuss three forces that will operate at a phase transition in conjunction with the candidate soft modes to determine which of the rigid unit modes will actually precipitate a phase transition, and illustrate these ideas by detailed discussions of the phase transitions in quartz, leucite and cristobalite. The model can also be used to estimate the transition temperature, and the theory highlights an important role for the stiffness of the tetrahedra.


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