Crystal geometry and phenomenological models of reconstructive phase transitions

References

• Belov , N. V. 1947 . Structure of Ionic Crystals and Metallic Phases , Moscow : AN SSSR Publ. . in Russian
   Google Scholar
• Bradley , C. J. and Cracknell , A. P. 1972 . Mathematical Theory of Symmetry in Solids , Oxford : Clarendon Press .
   Google Scholar
• Dmitriev , V. , Rochal , S. , Gufan , Yu. and Toledano , P. 1988 . Definition of a transcendental order-parameter for reconstructive phase transitions. . Phys. Rev. Lett. , 60 : 1958
   PubMed Web of Science ®Google Scholar
• Dmitriev , V. , Rochal , S. , Gufan , Yu. and Toledano , P. 1988a . Phenomenological theory of the reconstructive transition in barium titanate . Ferroelectrics , 79 : 305
   Web of Science ®Google Scholar
• Dmitriev , V. , Rochal , S. , Gufan , Yu. and Toledano , P. 1989 . Reconstructive transitions between ordered phases: the martensitic fcc-hcp nd the graphite-diamond transitions . Phys. Rev. Lett. , 62 : 2495
   PubMed Web of Science ®Google Scholar
• Dmitriev , V. , Rochal , S. , Lorman , V. and Toledano , P. 1990 . Theory of the formation of quasicrystals . J. Phys. France , 51 : 2399
   Google Scholar
• Dmitriev , V. , Rochal , S. , Lorman , V. and Toledano , P. 1990 . Model of the crystal to quasicrystal transition . Sov. Phys. Solid State , 33 : 963
   Google Scholar
• Dmitriev , V. , Gufan , Yu. and Toledano , P. 1991 . Theory of the phase diagram of iron and thallium: the Burgers and Bain deformation mechanisms revised . Phys. Rev. B , 44 : 7248
   PubMed Web of Science ®Google Scholar
• Frank , J. P. and Daniels , W. B. 1981 . Transition data and kinetics of the HCP-FCC4He transition between 4 and 9 kbar . Phys. Rev , B24 : 2456
   Google Scholar
• Gufan , Yu. 1971 . On the theory of phase transitions characterized by multicomponent order-parameters . Sov. Phys. Solid State , 13 : 175
   Web of Science ®Google Scholar
• Gufan , Yu. , Dmitriev , V. and Torgashev , V. 1979 . Symmetry restrictions for latent phases: the example of langbeinites . Sov. Phys. Crystall. , 24 : 342
   Google Scholar
• Gufan , Yu. 1982 . Structural Phase Transitions , Moscow : Nauka . in Russian
   Google Scholar
• Gufan , Yu. , Dmitriev , V. and Toledano , P. 1988 . Latent symmetry of structures and reconstructive phase transitions . Sov. Phys. Solid State , 30 : 613
   Google Scholar
• Horovitz , B. , Gooding , R. G. and Krumhansl , J. A. 1989 . Order-parameters for reconstructive phase transitions . Phys. Rev. Lett. , 62 : 843
   PubMed Web of Science ®Google Scholar
• Lzyumov , Yu. A. and Syromiatnikov , V. N. 1990 . Phase Transitions and Crystal Symmetry , Kluwer : Academic Press .
   Google Scholar
• Khatchaturyan , A. G. 1983 . Theory of Structural Transformations in Solids , New York : John Wiley and Sons .
   Google Scholar
• Kovalev , O. V. 1965 . Irreducible Representations of the Space Groups , New York : Gordon and Breach .
   Google Scholar
• Landau , L. D. 1937 . On the theory of second-order phase transitions . Zh. Exp. Teor. Fiz. , 7 : 19 in Russian
   Google Scholar
• Terhaar , D. , ed. 1965 . 193 Oxford : Pergamon Press . Translated in Collected Papers of L. D. Landau
   Google Scholar
• Landolt-Bornstein . 1975 . Numerical Data and Functional Relationships in Science and Technology. , New Series. Edited by: Hellwege , K. H. Vol. 9. , Berlin : Springer . Group III
   Google Scholar
• Lipson , H. and Stokes , A. 1942 . A new form of carbon: rhombehedral graphite . Proc. Roy. Soc. A , 181 : 101
   Google Scholar
• Merkau , B. and Holzapfel , W. B. 1986 . Kinetics of the DHCP-FCC phase transition in La under pressure. . Physica B , 251 : 139 – 140 .
   Google Scholar
• Nikolaev , N. A. , Khvostantsev , L. G. , Zinoviev , V. E. and Sirotin , A. A. 1986 . Investigation of the transformation between double HCP and FCC crystal lattices in Ne, in the region of high pressures and temperatures . JETP , 91 : 1001
   Google Scholar
• Nikolaev , N. A. and Khvostantsev , L. G. 1987 . Particularities of the phase transitions in La and Pr under hydrostatic pressure up to 9 Gpa and T up to 700 Kelvin.
   Google Scholar
• Perez-Mato , J. M. , Zuniga , F. J. , Madariaga , G. and Lopez-Echarri , A. 1992 . Methods of Structural Analysis of Modulated Structures and Quasicrystals , Singapore : World Scientific .
   Google Scholar
• Rochal , S. , Dmitriev , V. and Toledano , P. 1989 . unpublished.
   Google Scholar
• Schwarz , W. and Blaschko , O. 1990 . Polytype structures of lithium at low temperatures . Phys. Rev. Lett. , 65 : 3144
   PubMed Web of Science ®Google Scholar
• Schechtman , D. , Blech , I. , Gratias , D. and Cahn , J. W. 1984 . Metallic phase with a long-range orientational order and no translational symmetry. . Phys. Rev. Lett. , 53 : 1951
   Web of Science ®Google Scholar
• Toledano , J. C. and Toledano , P. 1980 . Order-parameter symmetries and free-energy expansions for purely ferroelastic transitions . Phys. Rev. , B21 : 1139
   Web of Science ®Google Scholar
• Toledano , J. C. and Toledano , P. 1987 . The Landau Theory of Phase Transitions , Singapore : World Scientific .
   Google Scholar
• Verma , A. R. and Krishna , P. 1966 . Polymorphism and Polytypism in Crystals , New York : John Wiley Inc. .
   Google Scholar
• Williams , J. C. , de Fontaine , D. and Paton , N. E. 1973 . The ω-phase as example of an unusual shear transformation . Metall. Trans. , 4 : 2701
   Web of Science ®Google Scholar