A one-parameter model of a rigid-unit structure

References

• Bruce , A. D. and Cowley , R. A. 1981 . Structural Phase Transitions , London : Taylor and Francis Ltd. .
   Google Scholar
• Buchenau , U. , Prager , M. , Nücker , N. , Dianoux , A. J. , Ahmad , N. and Phillips , W. A. 1986 . Low frequency modes in vitreous silica . Phys. Rev. B , 34 : 5665
   PubMed Web of Science ®Google Scholar
• Dove , M. T. 1993 . Introduction to Lattice Dynamics , Cambridge : Cambridge University Press .
   Google Scholar
• Dove , M. T. , Gambhir , M. , Hammonds , K. D. , Heine , V. and Pryde , A. K.A. 1996 . Distortions of framework structures . Phase Transitions , 58 : 121 – 143 .
   Web of Science ®Google Scholar
• Dove , M. T. , Giddy , A. P. and Heine , V. 1993 . Rigid unit mode model of displacive phase transitions in framework silicates . Transactions of the American Crystal-lographic Association , 27 : 65 – 74 .
   Google Scholar
• Dove , M. T. , Heine , V. and Hammonds , K. D. 1995 . Rigid unit modes in framework silicates . Mineralogical Magazine , 59 : 629 – 639 .
   Web of Science ®Google Scholar
• Giddy , A. P. , Dove , M. T. , Pawley , G. S. and Heine , V. 1993 . The determination of rigid unit modes as potential soft modes for displacive phase transitions in framework crystal structures . Acta Crystallogr. A , 49 : 697
   Google Scholar
• Hammonds , K. D. , Dove , M. T. , Giddy , A. P. and Heine , V. 1994 . CRUSH: A FORTRAN program for the analysis of the rigid unit mode spectrum of a framework structure . American Mineralogist , 79 : 1207 – 1209 .
   Google Scholar
• Hammonds , K. D. , Dove , M. T. , Giddy , A. P. , Winkler , B. and Heine , V. 1996 . Rigid unit phonon modes and structural phase transitions in framework silicates . American Mineralogist , in press
   Google Scholar
• Hatch , D. M. and Chose , S. 1991 . The α-β phase transition in cristobalite, Si02 . Phys. Chem. Minerals , 17 : 554
   Web of Science ®Google Scholar
• Hua , G. L. , Welberry , T. R. and Thompson , J. G. 1988 . An electron diffraction and lattice-dynamical study of the diffuse scattering in β-cristobalite, SiO2 . Journal of Applied Crystallography , 21 : 458 – 465 .
   Web of Science ®Google Scholar
• Liu , F. , Garofalini , S. H. , Kingsmith , R. D. and Vanderbilt , D. 1993 . Comment on “First-principles studies on structural properties of β-cristobalite” - Reply . Phys. Rev. Lett. , 71 : 3611
   PubMedGoogle Scholar
• Pryde , A. K.A. , Hammonds , K. D. , Dove , M. T. , Heine , V. , Gale , J. D. and Warren , M. C. 1997 . Rigid unit modes and the negative thermal expansion in ZrW2O8 . Phase Transitions , this issue
   Google Scholar
• Schmahl , W. W. , Swainson , I. P. , Dove , M. T. and Graeme-Barber , A. 1992 . Landau free energy and order parameter behaviour of the α/β phase transition in cristobalite . Z. Kristallogr. , 201 : 125 – 145 .
   Web of Science ®Google Scholar
• Swainson , I. P. and Dove , M. T. 1993a . Low frequency floppy modes in β-cristobalite . Phys. Rev. Lett. , 71 : 193 – 196 .
   PubMed Web of Science ®Google Scholar
• Swainson , I. P. and Dove , M. T. 1993b . Comment on “First-principles studies on structural properties of β-cristobalite” . Phys. Rev. Lett. , 71 : 3610
   PubMed Web of Science ®Google Scholar
• Swainson , I. P. and Dove , M. T. 1995a . On the thermal expansion of β-cristobalite . Phys. Chem. Minerals , 22 : 61 – 65 .
   Web of Science ®Google Scholar
• Swainson , I. P. and Dove , M. T. 1995b . Molecular dynamics simulation of α- and β-cristobalite . J. Phys.: Condens. Matter , 7 : 1771 – 1788 .
   Web of Science ®Google Scholar
• Wright , A. F. and Leadbetter , A. J. 1975 . The structures of the β-cristobalite phase of SiO2 and AIPO4 . Phil. Mag. , 31 : 1391
   Google Scholar