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Phase Transitions
A Multinational Journal
Volume 55, 1995 - Issue 1-4
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Original Articles

Strain coupling as the dominant interaction in structural phase transitions

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Pages 79-126 | Received 17 Jan 1995, Published online: 19 Aug 2006

References

  • van Amelinckx , S. G. , Tendeloo van Dyck , D. and van Landuyt , J. 1989 . The study of modulated structures, mixed layer poly-types and I-d quasi-crystals by means of electron-microscopy and electron-diffraction . Phase Transitions , 16 : 3
  • Andrews , S. R. and Cowley , R. A. 1986 . X-ray scattering from critical fluctuations and domain-walls in KDP and DKDP . J. Phys. C. , 19 : 615
  • Barsch , G. R. and Krumhansl , J. A. 1984 . Twin boundaries in ferroelastic media without interface dislocations . Phys. Rev. Lett. , 53 : 1069
  • Benkert , C. , Heine , V. and Simmons , E. H. 1987 . The incommensurate phase-transition of biphenyl . J. Phys. C , 20 : 3337
  • Bratkovsky , A. M. , Marais , S. C. , Heine , V. and Salje , E. K. H. 1994 . The theory of fluctuations and texture embryos in structural phase-transitions mediated by strain . J. Phys. Condens. Matt. , 6 : 3679
  • Bratkovsky , A. M. , Salje , E. K. H. , Marais , S. C. and Heine , V. 1994 . Theory and computer simulation of tweed texture . Phase Transitions , 48 : 1
  • Bratkovsky , A. M. , Salje , E. K. H. and Heine , V. 1994 . Overview of the origin of tweed texture . Phase Transitions , 52 : 75
  • Brezina , B. and Glogarova , M. 1972 . New ferroelectric lang beinite Tl2Cd2(SO4)3 . Phys. Stat. Sol. (a) , 11 : K39
  • Cao , W. and Barsch , G. R. 1990 . Anharmonic perturbation-theory of electrostriction in a perovskite oxite at finite temperature . Phys. Rev. B , 74 : 323
  • Clapp , P. C. 1990 . The critical role of defects in 1st-order displacive transformations . Mater. Sci. Engin. A , 127 : 189
  • Cowley , R. A. 1980 . Structural phase transitions . Adv. in Phys. , 29 : 1
  • Dattagupta , S. , Heine , V. , Marais , S. and Salje , E. 1991 . A rate-equation for atomic ordering in mean field theory. 2. General-considerations . J. Phys. Condens. Matt. , 3 : 2975
  • Dove , M. T. 1990 . Spontaneous strain energies associated with orientational order-disorder phase-transitions . Molec. Phys. , 70 : 425
  • Dove , M. T. , Giddy , A. P. and Heine , V. 1992 . On the application of mean field and Landau theory to displacive phase transitions . Ferroelectrics , 136 : 33
  • Dove , M. T. , Giddy , A. P. and Heine , V. 1992 . Rigid unit modes of displacive phase transitions in framework silicates . Trans. Amer Cryst. Assoc. , 27 : 65
  • Eshelby , J. D. 1956 . Continuum theory of defects . Sol. St. Phys. , 3 : 79
  • Etxebarria , I. , Perez-Mato , J. M. and Criado , A. 1990 . Incommensurate instability and lattice-dynamics of potassium selenate within a semiempirical rigid ion model . Phys. Rev. B , 13 : 8482
  • Etxebarria , I. , Perez-Mato , J. M. and Madariaga , G. 1992 . Lattice-dynamics, structural stability, and phase transitions in incommensurate and commensurate A2BX4 materials . Phys. Rev. B , 46 : 2764
  • Finlayson , T. R. 1988 . Pretransformation phenomena as revealed by elastic waves . Met. Trans. A , 19 : 185
  • Gerlach , P. N. and Powell , B. M. 1986 . Crystal structures and phase transition of the cyanospinel K2Hg(CN)4 . J. Chem. Phys. , 85 : 6004
  • 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 Cryst. A , 49 : 697
  • Gooding , R. J. 1990 . Anharmonicity and martensitic instabilities in beta-cubic structures . Mater. Sci. Eng. A , 127 : 183
  • Hatanaka , T. and Sawada , A. 1989 . Ferroelasticity in superconducting YBa2Cu3Ox single crystals . Jpn. J. Appl. Phys. , 28 : L392
  • Heine , V. , Bratkovsky , A. M. and Salje , E. K. H. 1994 . The effect of clamped and free boundaries on long range strain coupling in structural phase transitions . Phase Transitions , 52 : 85
  • Heine , V. , Lynden-Bell , R. M. , McConnell , J. D. C. and McDonald , I. R. 1984 . The structure of the incommensurate modulated phase of NaNO2 . Z. Physik B , 56 : 229
  • Heine , V. and McConnell , J. D. C. 1981 . The origin of incommensurate structures in insulators . J. Phys. C , 17 : 1199
  • Khachaturyan , A. G. 1983 . Theory of Structural Transformations in Solids , New York : Wiley .
  • Kuok , M. H. , Lee , S. C. , Tang , S. and Ishibashi , Y. 1989 . The ferroelastic phase transition in lead ortho-vanadate . Sol. St. Commun. , 71 : 797
  • Lajzerowicz , J. 1981 . Domain wall near a 1st order phase transition – role of elastic forces . Ferroelectrics , 35 : 219
  • Landau , L. D. and Lifschitz , E. M. 1986 . Theory of Elasticity , London : Pergamon .
  • Lanteri , V. , Chaim , R. and Heuer , A. H. 1986 . On the microstructures resulting from the diffusion less cubictetragonal transformation in ZrO2-Y2O3 alloys . J. Amer. Ceram. Soc. , 69 : C258
  • Leibfried , G. and Breuer , N. 1978 . Point Defects in Metals I: Introduction to the Theory, Vol. 81, Springer Tracts in Mod. Phys. , Berlin : Springer .
  • Levanyuk , A. P. and Sigov , A. S. 1988 . Defects and Structural Phase Transitions, Ferroelectricity and Related Phenomena , New York : Dover .
  • Lynden-Bell , R. M. and Michel , K. H. 1994 . Translation rotation coupling, phase transition, and elastic phenomena in orientationally disordered crystals . Rev. Mod. Phys. , 66 : 721
  • Maeda , M. 1988 . Elastic, dielectric and optical properties of ferroelectric betine arsenate . J. Phys. Soc. Jap. , 7 : 2162
  • Marais , S. , Heine , V. , Nex , C. and Salje , E. 1991 . Phenomena due to strain coupling in phase transitions . Phys. Rev. Lett. , 66 : 2480
  • Marais , S. , Padlewski , S. and Salje , E. 1991 . On the origin of kinetic rate equations – Salje-Glauber-Kawasaki . J. Phys. Condens. Matt. , 3 : 6571
  • Marais , S. and Salje , E. 1991 . Derivation of a rate law for nonuniform systems and continuous order parameters . J. Phys. Condens. Matt. , 3 : 3667
  • Marais , S. , Salje , E. and Heine , V. 1991 . Kinetic rate laws as derived from order parameter theory. 5. Computer simulations of ordering processes using a soft Ising model . Phys. Chem. Min. , 18 : 180
  • Marais , S. C. , Salje , E. K. H. , Heine , V. and Bratkovsky , A. M. 1994 . Strain related microstructures in materials: A computer simulation study of a simple model . Phase Transitions , 48 : 15
  • Michel , K. H. and Rowe , J. M. 1985 . Molecular symmetry and translation rotation coupling in orientationally disordered crystals . Phys. Rev. B , 32 : 5818
  • Negita , K. 1989 . Lattice vibrations and cubic to tetragonal phase transition in ZrO2 . Acta Metall. , 37 : 313
  • Ortiz-Lopez , J. and Luty , F. 1989 . Optical studies of thermal cycling and hysteresis effects in elastic order-disorder phase transformation. I. Pure alkali-metal cyanide crystals . Phys. Rev. B , 37 : 5452
  • Parlinski , K. , Heine , V. and Salje , E. K. H. 1993 . Origin of tweed texture in the simulation of a cuprate superconductor . J. Phys. Condens. Matt. , 5 : 497
  • Parlinski , K. , Salje , E. K. H. and Heine , V. 1993 . Annealing of tweed microstructure in high T c superconductors studied by a computer-simulation . Acta Met. Mater. , 41 : 839
  • Powell , B. M. and Gerlach , P. N. 1989 . Soft mode transition in the ferroelastic crystal K2Hg(CN)4 . Phys. Rev. B , 40 : 2426
  • Putnis , A. 1992 . Introduction to Mineral Science , Cambridge : Cambridge University Press .
  • Redfern , S. A. T. 1990 . Arsenic pentoxide – A model ferroelastic transition . Ferroelectrics , 106 : 219
  • Redfern , S. A. T. and Salje , E. 1988 . Spontaneous strain and the ferroelastic phase-transition in As2O5 . J. Phys. C , 21 : 277
  • Redfern , S. A. T. , Salje , E. and Navrotsky , A. 1989 . High-temperature enthalpy at the orientational order disorder transition in calcite – Implications for the calcite-aragonite phase equilibrium . Contrib. Min. Petrol. , 101 : 479
  • Silberstein , A. and Clapp , P. C. 1988 . Modeling and interpretation of tweed microstructures in face-centered-cubic solids . Phys. Rev. B , 38 : 9555
  • Pasternak , M. , Farrell , J. N. and Taylor , R. D. 1987a . Metallization and structural transformation of iodine under pressure – A microscopic view . Phys. Rev. Lett. , 58 : 575
  • Pasternak , M. , Farrell , J. N. and Taylor , R. N. 1987b . The isomer shift of elemental iodine under high-pressure . Sol. St. Commun. , 61 : 409
  • Sahu , D. and George , T. F. 1988 . Theory of the tetragonal-to-orthorhombic structural phase-transition in La2CuO4 . Sol. St. Commun. , 65 : 1371
  • Salje , E. K. H. 1990 . Phase Transitions in Ferroelastic and Co-Elastic Crystals , Cambridge : Cambridge University Press .
  • Salje , E. K. H. , Kuscholke , B. and Wruck , B. 1985 . Domain wall formation in minerals. I. Theory of twin boundary shapes in Na-feldspar . Phys. Chem. Min. , 12 : 132
  • Salje , E. K. H. , Kuscholke , B. , Wruck , B. and Kroll , H. 1985 . Thermodynamics of sodium-feldspar. 2. Experimental results and numerical calculations . Phys. Chem. Min. , 12 : 99
  • Salje , E. K. H. and Parlinski , K. 1991 . Microstructures in high T c superconductors . Supercond. Sci. Technol. , 4 : 93
  • Salje , E. K. H. , Wruck , B. , Graeme-Barber , A. and Carpenter , M. 1993 . Experimental test of rate equations – Time evolution of Al, Si ordering in anorthite CaAl2Si2O8 . J. Phys. Condens. Matt. , 5 : 2961
  • Sapriel , J. 1975 . Domain wall orientations in ferroelastics . Phys. Rev. B , 12 : 5128
  • Schmahl , W. W. , Putnis , A. , Salje , E. , Freeman , P. , Graeme-Barber , A. , Jones , R. , Singh , K. K. , Blunt , J. , Edwards , P. P. , Loram , J. and Mirza , K. 1989 . Twin formation and structural modulations in orthorhombic and tetragonal YBa2Cu1-xCoxO7-δ . Phil. Mag. Lett. , 60 : 241
  • Tanner , L. E. and Wuttig , G. 1990 . Workshop on 1st-order displacive phase transformations – Review and recommendations . Mater Sci. Eng. A , 127 : 137
  • Tautz , F. S. , Heine , V. , Dove , M. T. and Chen , X. J. 1991 . Rigid unit modes in the molecular dynamics simulation of quartz and the incommensurate phase transition . Phys. Chem. Min. , 18 : 326
  • Vallade , M. , Berge , B. and Dolino , G. 1992 . Origin of the incommensurate phase of quartz. 2. Interpretation of inelastic neutron-scattering data . J. Physique I (Paris) , 2 : 1481
  • Wagner , H. and Horner , H. 1974 . Elastic interactions and phase transitions in coherent metal-hydrogen systems . Adv. Phys. , 23 : 587
  • Wen , S. H. , Khachaturyan , A. G. and Morris , J. W. 1981 . Computer-simulation of a tweed transformation in an idealized elastic crystal . Metall. Trans. A , 12 : 581
  • Zener , C. 1948 . Theory of strain interaction of solute atoms . Phys. Rev. , 74 : 639

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