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Phase Transitions
A Multinational Journal
Volume 63, 1997 - Issue 1-4
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Original Articles

Hard mode spectroscopy: The concept and applications

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Pages 1-75 | Published online: 19 Aug 2006

References

  • Bismayer , U. and Salje , E. K.H. 1981 . Ferroelastic phases in Pb3(PO4)–Pb3(ASO4)2 X-ray and optical experiments . Acta. Cryst. , A 37 : 145
  • Bismayer , U. , Salje , E. K.H. and Joffrin , C. 1982 . Reinvestigation of the stepwise character of the ferroelastic phase transition in lead phosphate-arsenate, Pb3(PO4)2-Pb3(AsO4)2 . J. Physique , 43 : 1379
  • Bismayer , U. , Salje , E. K.H. , Jansen , M. and Dreher , S. 1986 . Raman scattering near the structural phase transition of As2O5: order parameter treatment . J. Phys. C: Solid State Phys. , 19 : 4537
  • Bismayer , U. , Salje , E. K.H. , Glazer , A. M. and Cosier , J. 1986 . Effect of strain-induced order-parameter coupling on the ferroelastic behaviour of lead phosphate-arsenate . Phase Transitions , 6 : 129
  • Bismayer , U. 1988 . “ New developments in Raman spectroscopy on structural phase transitions ” . In Physical Properties and Thermodynamic Behaviour in Minerals , Edited by: Salje , E. Vol. C 225 , 143 – 183 . Reidel, Dordrecht : NATO ASI .
  • Bismayer , U. , Devarajan , V. and Groves , P. 1989 . Hard-mode Raman spectroscopy and structural phase transition in the relaxor ferroelectric lead scandium tantalate. PbSc0.5 Ta0.5O3 . J. Phys.: Condensed Matter , 1 : 6977
  • Bismayer , U. 1990 . Hard mode Raman spectroscopy and its application to ferroelastic and ferroelectric phase transitions . Phase Transitions , 27 : 211 – 267 .
  • Bismayer , U. , Schmahl , W. , Schmidt , C. and Groat , L. A. 1992 . Linear birefringence and X-ray diffraction studies on the structural phase transition in titanite, CaTiSiO5 . Phys. Chem. Min. , 18 : 260 – 266 .
  • Bismayer , U. , Hensler , J. , Salje , E. K.H. and Güttler , B. 1994 . Renormalization phenomena in Ba-diluted ferroelastic lead phosphate (Pb1-xBax)3(PO4)2 . Phase Transitions , 48 : 149 – 168 .
  • Boyle , L. L. and Lawrenson , J. E. 1972 . The zellengleichen supergroups of the space groups . Acta Crystallogr. , A 28 : 485
  • Bradley , C. J. and Cracknell , A. P. 1972 . The Mathematical Theory of Symmetry and Solids , Oxford : Clarendon Press .
  • Brixner , L. H. , Bierstedt , P. E. , Jaep , W. F. and Barkley , J. R. 1973 . α-Pb3(PO4)—A pure ferroelastic . Mat. Res. Bull. , 8 : 497
  • Burns , G. and Scott , B. A. 1973 . Lattice modes in ferroelectric perovskites PbTiO3 . Phys. Rev. , B 7 : 3088
  • Burns , G. 1976 . Dirty displacive ferroelectrics . Phys. Rev. , B 13 : 215
  • Burns , G. and Dacol , F. H. 1983 . Glassy polarization behaviour in ferroelectric compounds Pb(Mg1/3Nb2/3)O3 and Pb(Zn1/3Nb2/3)O3 . Solid State Commun. , 10 : 853
  • Burns , G. and Dacol , F. H. 1986 . Soft phonons in a ferroelectric polarization glass system . Solid State Commun. , 9 : 567
  • Cerny , P. and Povondra , P. 1972 . An Al, F-rich metamict titanite from Czechoslovakia . N. Jahrb. Mineralogie , 9 : 400
  • Chang , Y. and Chen , Z. 1985 . A study on ordered ferroelectric domains in ordered Pb(Sc1/2Ta1/2)O3 ceramics . Ferroelectrics Lett. , 4 : 134
  • Chen , S. K. , Liu , H. S. and Wu , C. S. 1993 . Quantitative analysis of sphene (CaTiOSiO4) and wollastonite (CaSiO3) crystallizations in annealed ceramic frits by FT-IR Absorption Spectroscopy . Applied Spectroscopy , 41 : 912 – 965 .
  • Chrosch , J. , Bismayer , U. and Salje , E. K.H. 1997 . “ Anti-phase boundaries and phase transitions in titanite: an X-ray diffraction study ” . In American Mineralogist submitted.
  • Cook , H. E. 1969 . The kinetics of clustering and short-range order in stable solid solutions . J. Phys. Chem. Solids , 30 : 2427
  • Cracknell , A. P. , Davies , B. L. , Miller , S. C. and Love , W. F. 1979 . Kronecker Product Tables Vol 1 General Introduction of Tables of Irreducible Representations of Space Groups , New York : Plenum .
  • Cross , L. E. 1987 . Relaxor ferroelectrics . Ferroelectrics , 76 : 241
  • Eror , N. G. and Loehr , T. M. 1975 . Precision Determination of Stoichiometry and disorder in multicomponent compounds by vibrational spectroscopy . J. Solid State Chem. , 12 : 319
  • Ghose , S. , Ito , Y. and Hatch , D. M. 1991 . Paraelectric-antiferroelectric phase transition in titanite, CaTiSiO5: I. A high temperature X-ray diffraction study of the order parameter and transition mechansim . Phys. Chem. Min. , 17 : 591 – 603 .
  • Groves , P. 1985 . Low-temperature studies of ferroelectric lead scandium tantalate . J. Phys. C: Solid State Phys. , 18 : L1073
  • Gufan , Yu. M. and Larin , E. S. 1980 . Theory of phase transitions described by two order parameters . Sov. Phys. Solid State , 22 : 270
  • Güttler , B. , Salje , E. K.H. and Putnis , A. 1989 . Structural states of Mg cordierite III: infrared spectroscopy and the nature of the hexagonal-modulated transition . Phys. Chem. Min. , 16 : 365 – 373 .
  • Harris , M. J. , Salje , E. K.H. and Güttler , B. K. 1990 . An infrared spectroscopic study of the internal modes of sodium nitrate: implications for the structural phase transition . J. Phys. Condensed Matter , 2 : 5517 – 5527 .
  • Harris , M. J. and Salje , E. K.H. 1992 . The incommensurate phase of sodium carbonate: an infrared absorption study . J. Phys. Condensed Matter , 4 : 4399 – 4408 .
  • Hawthorne , F. C. , Groat , L. A. , Raudsepp , M. , Ball , N. A. , Kimata , M. , Spike , F. D. , Gaba , R. , Halden , N. M. , Lumpkin , G. R. , Ewing , R. C. , Greegor , R. B. , Lytle , F. W. , Erict , T. S. , Rossman , G. R. , Wicks , F. J. , Ramik , R. A. , Sheriff , B. L. , Fleet , M. E. and McCammon , C. 1991 . Alpha-decay damage in titanite . Am. Mineral. , 76 : 370 – 396 .
  • Higgins , J. B. and Ribbe , P. H. 1976 . The crystal chemistry and space groups of natural and synthetic titanites . Am. Mineral. , 61 : 878 – 888 .
  • Hollabaugh , C. L. and Foit , F. F. 1984 . The crystal structure of Al-rich titanite from Grisons, Switzerland . Am, Mineral. , 69 : 725 – 732 .
  • Imry , Y. 1975 . On the statistical mechanics of coupled order parameters . J. Phys C.: Solid State Phys. , 8 : 567
  • 1983 . International Tables for Crystallography , Vol. A , Dordrecht : Reidel .
  • Janovec , V. , Dvorak , V. and Petzelt , J. 1975 . Symmetry classification and properties of equitranslation structural phase transition . Czech. J. Phys. , B 25 : 1362
  • Joffrin , C. , Benoit , J. P. , Currat , R. and Lambert , M. 1979 . Transition de phase ferroelastique du phosphat de plomb. Etude par diffusion inelastique des neutrons . J. Physique , 40 : 1185
  • Känzig , W. 1951 . X-ray investigations of barium titanate ferroelectricity . Helv. Phys. Acta , 24 : 175
  • Kek , S. , Aroyo , M. , Bismayer , U. , Schmidt , C. , Eichhorn , K. and Krane , H. G. 1996 . The two-step phase transition of titanite, CaTiSiO5: a synchrotron radiation study . Z. Kristallogr. , in print.
  • Landau , L. D. and Lifshitz , E. M. 1980 . Statistical Physics , Oxford : Pergamon .
  • Lovenc , J. , Przystawa , J. and Cracknell , A. P. 1980 . A comment on the chain subduction criterion . J. Phys. C.: Solid State Phys. , 13 : 1955
  • Megaw , H. D. and Darlington , C. N.W. 1975 . Geometrical and structural relations in the rhombohedral perovskites . Acta Crystallogr. , A 31 : 161
  • Metui , H. , Kitahara , K. and Ross , J. 1976b . A derivation and comparison of two equations (Landau–Ginzburg and Cahn) for the kinetics of phase transitions . J. Chem. Phys. , 65 : 393
  • Meyer , H. W. , Zhang , M. , Bismayer , U. , Salje , E. K.H. , Schmidt , C. , Kek , S. , Morgenroth , W. and Bleser , T. 1996 . Phase transformation of natural titanite: An infrared, Raman spectroscopic, optical birefringence and X-ray diffraction study . Phase Transitions , in print.
  • Munn , R. W. 1975 . Grüneisen parameters for molecular crystals . Phys. Rev. , B 12 : 3491
  • Petzelt , J. and Dvorak , V. 1976 . Changes of infrared and Raman spectra induced by structural phase transitions: 1. General considerations . J. Phys. C.: Solid State Phys. , 9 : 1571
  • Randall , C. A. , Barber , D. J. , Whatmore , R. W. and Groves , P. 1986 . A TEM study of ordering in the perovskite, Pb(Sc1/2Ta1/2)O3 . J. Mater. Sci. , 21 : 4456
  • Randall , C. A. , Barber , D. J. , Whatmore , R. W. and Groves , P. 1987 . Short-range order phenomena in lead-based perovskites . Ferroelectrics , 76 : 277
  • Roucau , C. , Tanaka , M. , Torres , J. and Ayroles , R. 1979 . Etude en microscopie electronique de la structure liee aux. proprietes ferroelastique du phosphat de plomb, Pb3(PO4)3 . J. Micros. Spectrosc. Electron. , 4 : 603
  • Salje , E. K.H. and Bismayer , U. 1981 . Critical behaviour of optical modes in ferroelastic Pb3(PO4)2–Pb3(ASO4)2 . Phase Transitions , 2 : 15
  • Salje , E. K.H. and Devarajan , V. 1981 . Potts model and phase transitions in lead phosphate, Pb3(PO4)2 . J. Phys. C , 14 : L1029
  • Salje , E. K.H. and Wruck , B. 1983 . Specific-heat measurements and critical exponents of the ferroelastic phase transition in Pb3(PO4)2 and Pb3(P1-xAsxO4)2 . Phys. Rev. , 28 : 6510
  • Salje , E. K.H. , Devarajan , V. , Bismayer , U. and Guimaraes , D. M.C. 1983 . Phase transitions in Pb3(P1-xAsxO4)2: influence of the central peak and flip mode on the Raman scattering of hard modes . J. Phys. C. , 16 : 5233
  • Salje , E. K.H. 1985 . Thermodynamics of sodium feldspar I: order parameter treatment and strain induced coupling effects . Phys. Chem. Minerals , 12 : 93
  • Salje , E. K.H. and Bismayer , U. 1989 . Order parameter behaviour in the relaxor ferroelastic lead scandium tantalate . J. Phys.: Condensed Mutter , 1 : 6967
  • Salje , E. K.H. and Devarajan , V. 1986 . Phase transitions in systems with strain-induced coupling between two order parameters . Phase transitions , 6 : 235
  • Salje , E. K.H. and Wruck , B. 1988 . Kinetic rate laws as derived from order parameter theory II: interpretation of experimental data by Laplace-transformation, the relaxation spectrum, and kinetic gradient coupling between two order parameters . Phys. Chem Minerals , 16 : 140
  • Salje , E. K.H. 1992 . Hard Mode Spectroscopy: experimental studies of structural phase transitions . Phase Transitions , 37 : 83 – 110 .
  • Salje , E. K.H. , Ridgwell , A. , Güttler , B. , Wruck , B. , Dove , M. T. and Dolino , G. 1992 . On the displacive character of the phase transition in quartz: a hard mode spectroscopy study . J. Phys. Condensed Matter , 4 : 571 – 577 .
  • Salje , E. K.H. 1992 . Application of Landau theory for the analysis of phase transitions in minerals . Physics Reports , 215 ( 2 ) : 49 – 99 .
  • Salje , E. K.H. 1993 . Phase Transitions in Ferroelastic and Co-elastic Crystals , Cambridge, , England : Cambridge University Press .
  • Salje , E. K.H. , Graeme-Barber , A. , Carpenter , M. A. and Bismayer , U. 1993 . Lattice parameters, spontaneous strain and phase transitions in Pb3(PO4)2 . Acta Cryst. , B 49 : 387 – 392 .
  • Salje , E. K.H. 1994 . “ Phase transitions and vibrational spectroscopy in feldspars ” . In Feldspars and Their Reactions , Edited by: Parsons , I. 103 North Holland : ASI-NATO .
  • Salje , E. K.H. and Yagil , Y. 1996 . Hard mode spectroscopy for the invesigation of structural and superconducting phase transitions . J. Phys. Chem. Solids , 57 : 1413
  • Salje , E. K.H. , Schmidt , C. and Bismayer , U. 1993 . Structural phase transition in titanite, CaTiSiO5: A Ramanspectroscopic study . Phys. Chem. Min. , 19 : 502 – 506 .
  • Schmidt , C. , Bismayer , U. , Riedel , D. , Kek , S. and Eichhorn , K. 1993 . Phase transition and diffuse scattering in synthetic titanite CaTiSiO5 . HASYLAB Jahresbericht , : 601 – 602 .
  • Setter , N. and Cross , L. E. 1980 . The contributions of structural disorder to diffuse phase transitions in ferroelectrics . J. Mater. Sci. , 15 : 2478
  • Setter , N. and Cross , L. E. 1981 . An optical study of the ferroelectric relaxors Pb(Mg1/3Nb2/3)O3, Pb(Sc1/2Ta1/2)O3 and Pb(Sc1/2Nb1/2)O3 . Ferroelectrics , 37 : 551
  • Smolenksky , G. A. 1970 . Physical Phenomena in ferroelectrics with diffused phase transition . J. Phys. Soc. Japan Suppl. , 28 : 26
  • Smolenksky , G. A. , Siny , I. G. , Pisarev , R. V. and Kuzminov , E. G. 1976 . Raman scattering in ordered and disordered perovskite type crystals . Ferroelectrics , 12 : 135
  • Speer , J. A. and Gibbs , G. V. 1976 . Crystal structure of synthetic titanite CaTiSiO5, and the domain textures of natural titanites . Am. Mineral. , 61 : 238 – 247 .
  • Stanley , H. E. 1971 . Introduction to Phase Transitions and Critical Phenomena , Oxford : Oxford University Press .
  • Stenger , C. G.F. and Burggraaf , A. J. 1980 . Order-disorder reactions in the ferroelectric perovskites Pb(Sc1/2Nb1/2)O3 and Pb(SC1/2Ta1/2)O3 . Phys. Status Solidi (a) , 61 : 275
  • Stokes , H. T. and Hatch , D. M. 1988 . Isotropy Subgroups of the 230 Crystallographic Space Groups , Singapore : World Scientific .
  • Swainson , I. P. and Dove , M. T. 1993 . 1st principle studies on structural properties of β cristobalite . Phys. Rev. Lett. , 71 : 3610
  • Tanaka , I. , Obushi , T. and Kojima , H. 1988 . Growth and characterization of titanite CaTiSiO5 single crystals by the floating zone method . J. Cryst. Growth , 87 : 169 – 174 .
  • Taylor , M. and Brown , G. E. 1976 . High-temperature structural study of the P21/a → A2/a phase transition in synthetic titanite, CaTiSiO5 . Am. Mineral. , 61 : 435 – 447 .
  • Toledano , P. and Toledano , J. C. 1982 . Symmetrie du parametere d'ordre de la transition de phase ferroelastique du phosphat de plomb . Phys. Sratus Solidi , 71 : 141
  • Unruh , H. G. , Mühlenberg , D. and Hahn , C. 1992 . Ferroelastic phase transition in CaCl2 studied by Rahman Spectroscopy . Z. Physik , B 86 : 133
  • Van Heurck , C. , Van Tendeloo , G. , Ghose , S. and Amelinckx , S. 1991 . Paraelectric-antiferroelectric phase transition in titanite, CaTiSiO5: II. Electron diffraction and electron microscopic studies of transition dynamics . Phys. Chem. Min. , 17 : 604 – 610 .
  • Yagil , Y. , Baundenbacher , F. , Zhang , M. , Birch , J. R. , Kinder , H. and Salje , E. K.H. 1995 . Optical properties of Y1Ba2Cu3O7-δ thin films . Phys. Rev. , B 52 : m 21
  • Zhang , M. , Salje , E. K.H. , Bismayer , U. , Unruh , H. G. , Wruck , B. and Schmidt , C. 1995 . Phase transition(s) in titanite CaTiSiO5: an infrared spectrosopic, dielectric response and heat capacity study . Phys. Chem. Min. , 22 : 41 – 49 .
  • Zhang , M. , Salje , E. K.H. and Bismayer , U. 1996 . Structural phase transition near 825 K in titanite: evidence from infrared spectroscopic observation . Am. Mineral. , 82 : 30 – 35 .
  • Zhang , M. , Salje , E. K.H. , Carpenter , M. A. , Parsons , I. , Kroll , H. , Reed , S. J.B. and Grame-Barber , A. 1997 . Exsolution and Si, Al disorder in alkali Feldspars: their analysis by infrared spectroscopy . Am. Mineral. , in print.
  • Zhang , M. , Wruck , B. , Graeme Barber , A. , Salje , E. K.H. and Carpenter , M. A. 1996 . Phonon-spectra of alkali-feldspar: phase transitions and solid solutions . American Mineralogist , 18 : 92 – 104 .
  • Zimmer , H. E. , Engert , J. , Frach , P. , Henning , I. , Chat , D. , Oszolinsk , R. and Hegenbarth , E. 1987 . Glasslike behaviour of polycrystalline Pb(Sc0.5N0.5)O3 at low temperatures . Ferroelectrics Lett. , 7 : 113

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