Hard mode spectroscopy: The concept and applications

Phase Transitions

Volumn 63, Issue 1-4 SEC. B, 1997, Pages 1-75

  Salje, E K H ^a   Bismayer, U ^b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITY OF HAMBURG   (Germany)

Author keywords

Hard mode infrared spectroscopy; Hard mode Raman spectroscopy; Lead phosphate; Lead scandium tantalate; Titanite

Indexed keywords

INFRARED SPECTROSCOPY; LEAD COMPOUNDS; OXIDES; PHONONS; RAMAN SPECTROSCOPY;

HARD MODE SPECTROSCOPY;

PHASE TRANSITIONS;

EID: 0031344478     PISSN: 01411594     EISSN: None     Source Type: Journal    
DOI: 10.1080/01411599708228789     Document Type: Article

References (86)

1. 2 X-ray and optical experiments, Acta. Cryst., A 37, 145.
2. 2, J. Physique, 43, 1379.
3. 5: order parameter treatment. J. Phys. C: Solid State Phys., 19, 4537.
4. Bismayer, U., E.K.H. Salje, A.M. Glazer and J. Cosier (1986). Effect of strain-induced order-parameter coupling on the ferroelastic behaviour of lead phosphate-arsenate. Phase Transitions, 6, 129.
5. Bismayer, U. (1988) New developments in Raman spectroscopy on structural phase transitions. In E. Salje (ed.). Physical Properties and Thermo dynamic Behaviour in Minerals, NATO ASI C 225, Reidel, Dordrecht. pp. 143-183.
6. 3. J. Phys.: Condensed Matter, 1, 6977.
7. Bismayer, U. (1990). Hard mode Raman spectroscopy and its application to ferroelastic and ferroelectric phase transitions. Phase Transitions, 27, 211-267.
8. 5. Phys. Chem. Min., 18, 260-266.
9. 2. Phase Transitions, 48, 149-168.
10. Boyle, L.L. and J.E. Lawrenson (1972). The zellengleichen supergroups of the space groups. Acta Crystallogr., A 28, 485.
11. Bradley, C.J. and A.P. Cracknell (1972). The Mathematical Theory of Symmetry and Solids. Clarendon Press, Oxford.
12. 4) - A pure ferroelastic. Mat. Res. Bull., 8, 497.
13. 3. Phys. Rev., B 7, 3088.
14. Burns, G. (1976). Dirty displacive ferroelectrics. Phys. Rev., B 13, 215.
15. 3. Solid State Commun., 10, 853.
16. Burns, G. and F.H. Dacol (1986). Soft phonons in a ferroelectric polarization glass system. Solid State Commun., 9, 567.
17. Cerny, P. and P. Povondra (1972). An Al, F-rich metamict titanite from Czechoslovakia. N. Jahrb. Mineralogie, 9, 400.
18. 3 ceramics. Ferroelectrics Lett., 4, 134.
19. 3) crystallizations in annealed ceramic frits by FT-IR Absorption Spectroscopy. Applied Spectroscopy, 47, 965-972
20. Chrosch, J., U. Bismayer and E.K.H. Salje (1997). Anti-phase boundaries and phase transitions in titanite: an X-ray diffraction study, American Mineralogist, submitted.
21. Cook, H.E. (1969). The kinetics of clustering and short-range order in stable solid solutions. J. Phys. Chem. Solids, 30, 2427.
22. Cracknell, A.P., B.L. Davies, S.C. Miller and W.F. Love (1979). Kronecker Product Tables Vol 1 General Introduction of Tables of Irreducible Representations of Space Groups. Plenum, New York.
23. Cross, L.E. (1987). Relaxor ferroelectrics. Ferroelectrics, 76, 241.
24. Eror, N.G. and T.M. Loehr (1975). Precision Determination of Stoichiometry and disorder in multicomponent compounds by vibrational Spectroscopy. J. Solid State Chem., 12, 319.
25. 5: I A high temperature X-ray diffraction study of the order parameter and transition mechansim. Phvs Chem. Min., 17, 591-603.
26. Groves, P. (1985). Low-temperature studies of ferroelectric lead scandium tantalate. J. Phys. C: Solid Stale Phys., 18. L1073
27. Gufan, Yu.M. and E.S. Larin (1980). Theory of phase transitions described by two order parameters. Sov. Phys. Solid State, 22, 270.
28. Guttler, B., E.K.H. Salje and A. Putnis (1989). Structural states of Mg cordierite III: infrared Spectroscopy and the nature of the hexagonal-modulated transition. Phys. Chem. Min., 16, 365-373.
29. Harris, M.J., E.K.H. Salje and B.K Güttler (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.
30. Harris, M J. and E.K.H. Salje (1992). The incommensurate phase of sodium carbonate: an infrared absorption study. J. Phys, Condensed Matter, 4, 4399-4408
31. Hawthorne, F.C., L.A. Groat, M. Raudsepp, N.A. Ball, M. Kimata, F.D. Spike, R. Gaba, N.M. Halden, G.R. Lumpkin, R.C Ewing, R.B. Greegor, F.W. Lytle, T.S. Erict, G R. Rossman, F.J. Wicks, R.A. Ramik, B.L. Sheriff, M.E. Fleet and C. McCammon (1991). Alpha-decay damage in titanite. Am. Mineral., 76, 370-396.
32. Higgins, J.B. and P.H. Ribbe (1976). The crystal chemistry and space groups of natural and synthetic titanites. Am. Mineral., 61, 878-888.
33. Hollabaugh, C.L. and F.F. Foit (1984). The crystal structure of Al-rich titanite from Grisons, Switzerland. Am. Mineral., 69, 725-732.
34. Imry, Y. (1975). On the statistical mechanics of coupled order parameters. J. Phys C.: Solid State Phys., 8, 567.
35. International Tables for Crystallography. Vol. A (1983). Reidel, Dordrecht.
36. Janovec, V., V. Dvorak and J Petzelt (1975). Symmetry classification and properties of equi-translation structural phase transition. Czech. J. Phys., B 25, 1362.
37. Joffrin, C., J.P. Benoit, R. Currat and M. Lambert (1979). Transition de phase ferroelastique du phosphat de plomb. Etude par diffusion inelastique des neutrons. J. Physique, 40, 1185.
38. Känzig, W. (1951). X-ray investigations of barium titanate ferroelectricity. Helv. Phys. Acta, 24, 175.
39. 5: a synchrotron radiation study. Z. Kristallogr., in print.
40. Landau, L.D. and E.M. Lifshitz (1980). Statistical Physics. Pergamon, Oxford.
41. Lovenc, J., J. Przystawa and A.P. Cracknell (1980). A comment on the chain subduction criterion. J. Phys. C.: Solid State Phys., 13, 1955.
42. Megaw, H.D. and C.N.W. Darlington (1975). Geometrical and structural relations in the rhombohedral perovskites, Acta Cryslallogr., A 31, 161.
43. Metui, H., K. Kitahara and J. Ross (1976b). A derivation and comparison of two equations (Landau-Ginzburg and Cahn) for the kinetics of phase transitions. J. Chem. Phys., 65, 393.
44. Meyer, H.W., M. Zhang, U. Bismayer, E.K.H. Salje, C. Schmidt, S. Kek, W. Morgenroth and T. Bleser (1996). Phase transformation of natural titanite: An infrared, Raman spectroscopic, optical birefringence and X-ray diffraction study. Phase Transitions, in print.
45. Munn, R.W. (1975) Grüneisen parameters for molecular crystals. Phys. Rev., B 12, 3491.
46. Petzelt, J. and V. Dvorak (1976). Changes of infrared and Raman spectra induced by structural phase transitions: 1. General considerations. J. Phys. C.: Solid State Phys., 9, 1571.
47. 3. J. Mater. Sci., 21, 4456.
48. Randall, C.A., D.J. Barber, R.W. Whatmore and P. Groves (1987). Short-range order phenomena in lead-based perovskites, Ferroelectrics, 76, 277.
49. 3. J. Micros. Spectrosc. Electron., 4, 603.
50. 2, Phase Transitions, 2, 15.
51. 2, J. Phys. C, 14, L1029.
52. 2. Phys. Rev., 28, 6510.
53. 2: influence of the central peak and flip mode on the Raman scattering of hard modes. J. Phys. C., 16, 5233.
54. Salje, E.K.H. (1985). Thermodynamics of sodium feldspar I: order parameter treatment and strain induced coupling effects. Phys. Chem. Minerals, 12, 93.
55. Salje, E.K.H. and U. Bismayer (1989). Order parameter behaviour in the relaxor ferroelastic lead scandium tantalate. J. Phys.: Condensed Matter, 1, 6967.
56. Salje, E.K.H. and V. Devarajan (1986), Phase transitions in systems with straininduced coupling between two order parameters. Phase transitions, 6, 235.
57. Salje, E.K.H. and B. Wruck (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.
58. Salje, E.K.H. (1992). Hard Mode Spectroscopy: experimental studies of structural phase transitions. Phase Transitions, 37, 83-110.
59. Salje, E.K.H., A. Ridgwell, B. Guttler, B. Wruck, M.T. Dove and G. Dolino (1992). On the displacive character of the phase transition in quartz: a hard mode spectroscopy study. J. Phys. Condensed Matter, 4, 571-577.
60. Saije, E.K.H, (1992). Application of Landau theory for the analysis of phase transitions in minerals. Physics Reports, 215(2), 49-99.
61. Salje, E.K.H. (1993). Phase Transitions in Ferroelastic and Co-elastic Crystals, Cambridge University Press, Cambridge, England.
62. 2. Acta Cryst., B 49, 387-392.
63. Salje, E.K.H. (1994). Phase transitions and vibrational spectroscopy in feldspars, in I. Parsons (Ed.), Feldspars and Their Reactions. ASI-NATO, North Holland, 103.
64. Salje, E.K.H. and Y. Yagil (1996). Hard mode spectroscopy for the invesigation of structural and superconducting phase transitions. J. Phys. Chem. Solids, 57, 1413.
65. 5: A Ramanspectroscopic study. Phys. Chem. Min., 19, 502-506.
66. 5. HASYLAB Jahresbericht, 601-602.
67. Setter, N. and L.E. Cross (1980). The contributions of structural disorder to diffuse phase transitions in ferroelectrics. J. Mater. Sci., 15, 2478.
68. 3. Ferroelectrics, 37, 551.
69. Smolenksky, G.A. (1970). Physical Phenomena in ferroelectrics with diffused phase transition. J. Phys. Soc. Japan Suppl., 28, 26.
70. Smolenksky, G.A., I.G. Siny, R.V. Pisarev and E.G. Kuzminov (1976). Raman scattering in ordered and disordered perovskite type crystals. Ferroelectrics, 12, 135.
71. 5, and the domain textures of natural titanites. Am. Mineral., 61, 238-247.
72. Stanley, H E. (1971). Introduction to Phase Transitions and Critical Phenomena. Oxford, Oxford University Press.
73. 3. Phys. Status Solidi (a), 61, 275.
74. Stokes, H.T. and D.M. Hatch (1988). Isotropy Subgroups of the 230 Crystallographic Space Groups. World Scientific, Singapore.
75. Swainson, I.P. and M.T. Dove (1993). 1st principle studies on structural properties of β cristobalite. Phys. Rev Lett., 71, 3610.
76. 5 single crystals by the floating zone method. J. Cryst. Growth, 87, 169-174.
77. 5. Am. Mineral., 61, 435-447.
78. Toledano, P. and J.C. Toledano (1982). Symmetrie du parametere d'ordre de la transition de phase ferroelastique du phosphat de plomb. Phys. Status Solidi, 71, 141.
79. 2 studied by Rahman Spectroscopy. Z. Physik, B 86, 133.
80. 5: II. Electron diffraction and electron microscopic studies of transition dynamics. Phys. Chem. Min., 17, 604-610.
81. 7-δ thin films. Phys. Rev., B 52, m 21.
82. 5. an infrared spectrosopic, dielectric response and heat capacity study. Phys. Chem. Min., 22, 41-49
83. Zhang, M., E K.H Salje, U. Bismayer (1996). Structural phase transition near 825 K in titanite: evidence from infrared spectroscopic observation. Am. Mineral., 82, 30-35.
84. Zhang, M., E.K.H. Salje, M.A. Carpenter, I. Parsons, H. Kroll, S.J.B. Reed and A.Grame-Barber (1997). Exsolution and Si, Al disorder in alkali Feldspars: their analysis by infrared spectroscopy. Am. Mineral., in print.
85. Zhang, M., B. Wruck, A. Graeme Barber, E.K.H. Salje and M.A. Carpenter (1996). Phonon-spectra of alkali-feldspar: phase transitions and solid solutions. American Mineralogist, 18, 92-104.
86. 3 at low temperatures. Ferroelectrics Lett., 7, 113.