Dispersion relations of acoustic phonons in pyrope garnet: Relationship between vibrational properties and elastic constants

American Mineralogist

Volumn 81, Issue 1-2, 1996, Pages 19-25

  Artioli, G ^a   Pavese, A ^a   Moze, O ^b  

^a UNIVERSITY OF MILAN   (Italy)

^b UNIVERSITY OF PARMA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC DISPERSION; COHERENT SCATTERING; ELASTIC CONSTANTS; ELECTROMAGNETIC WAVE EMISSION; GARNETS; NEUTRON SCATTERING; NEUTRON SOURCES; PHONONS; QUANTUM THEORY; SPECTROMETERS; STRAIN MEASUREMENT;

ACOUSTIC-PHONON DISPERSION; BRILLOUIN SPECTROSCOPY; INTERATOMIC POTENTIAL; LONGITUDINAL ACOUSTIC PHONONS; NEUTRON SPALLATION SOURCES; PHONON DISPERSION CURVES; SEMI-EMPIRICAL INTERATOMIC POTENTIAL; VIBRATIONAL PROPERTIES;

ACOUSTIC SPECTROSCOPY;

ACOUSTIC PHONON DISPERSION; ELASTIC CONSTANT; GARNET; NEUTRON SCATTERING; PYROPE; VIBRATIONAL PROPERTIES;

EID: 0029751128     PISSN: 0003004X     EISSN: None     Source Type: Journal    
DOI: 10.2138/am-1996-1-203     Document Type: Article

References (45)

1. Andreani, C., Carlile, C.J., Cilloco, F., Petrillo, C., Sacchetti, F., Stirling, G.C., and Windsor, C.G. (1987) PRISMA: A spectrometer for the measurement of coherent excitations on a pulsed spallation neutron source. Nuclear and Instrumentation Methods, A254, 333-341.
2. Armbruster, T., Geiger, C.A., and Lager, G.A. (1992) Single-crystal X-ray structure study of synthetic pyrope almandine garnets at 100 and 293 K. American Mineralogist, 77, 512-521.
3. Bialas, H., and Stolz, H.J. (1975) Lattice dynamics of sapphire (corundum). Zeitschrift für Physik, B21, 319-324.
4. Born, M., and Huang, J. (1954) The dynamical theory of crystal lattices, 420 p. Clarendon, Oxford, U.K.
5. Bouger, H. (1983) Principles of the theory of lattice dynamics, 330 p. Physik-Verlag, Weinheim, Germany.
6. Boysen, H. (1980) Dynamic structure determination for two interacting modes at the M-point in α- and β-quartz by inelastic neutron scattering. Journal of Physics, C13, 6127-6146.
7. _ (1990) Neutron scattering and phase transition in leucite. In E.K.H. Salje, Ed., Phase transition in ferroelastic and co-elastic crystals, 334 p. Cambridge University Press, Cambridge.
8. Boysen, H., Frey, F., Schrader, H., and Eckold, G. (1991) On the prototo ortho-/clino enstatite phase transformation: Single crystal X-ray and inelastic neutron investigation. Physics and Chemistry of Minerals, 17, 629-635.
9. Catlow, C.R.A. (1988) Computer modelling of silicates. In NATO ASI series C, 225, 619-638.
10. Catlow, C.R.A., James, R., Mackrodt, J.R., and Stewart, R.F. (1982) Defect energies in aluminum oxide and rutile titanium oxide. Physical Review B, 25, 1006-1026.
11. 3 calcite and aragonite: A quasi-harmonic calculation. Physics and Chemistry of Minerals, 20, 472-479.
12. Chopin, C. (1984) Coesite and pure pyrope in high-grade blueschists of the Western Alps: A first record and some consequences. Contributions to Mineralogy and Petrology, 86, 107-118.
13. Collins, D.R., Stirling, W.G., Catlow, C.R.A., and Rowbotham, G. (1993) Determination of acoustic phonon dispersion curves in layer silicates by inelastic neutron scattering and computer simulation techniques. Physics and Chemistry of Minerals, 19, 520-527.
14. Cowley, E.R., and Pant, A.K. (1973) Lattice dynamics of calcite. Physical Review B, 8, 4795-4800.
15. Dove, M.T. (1993) Introduction to lattice dynamics, 258 p. Cambridge University Press, Cambridge.
16. Dove, M.T., Hagen, M., Harris, M.J., Powell, B.M., Steigenberger, U., and Winkler, B. (1992) Anomalous inelastic neutron scattering from calcite. Journal of Physics of Condensed Matter, 4, 2761-2774.
17. Elcombe, M.M. (1967) Some aspects of the lattice dynamics of quartz. Proceedings of the Physical Society of London, 91, 947-958.
18. 4, by inelastic neutron scattering. Solid Stale Communications, 63, 1045-1050.
19. 4. Physica B, 174, 83-86.
20. Ghose, S., Choudhury, N., Chaplot, S.L., and Rao, K.R. (1992) The phonon density of states and thermodynamic properties of minerals. In Advances in Physical Geochemistry, 10, 283-314.
21. Hagen. M. (1994) PRSCAL manual. Rutherford Appleton Laboratory Report RAL-94-084.
22. Hagen, M., Dove, M.T., Harris, M.J., Steigenberger, U., and Powell, B.P. (1992) Orientational order-disorder phase transition in calcite. Physica B, 180, 276-278.
23. 40. Geochimica et Cosmochimica Acta, 44, 701-709.
24. Hofmeister, A.M., and Chopelas, A. (1991) Thermodynamic properties of pyrope and grossular from vibrational spectroscopy. American Mineralogist, 76, 880-891.
25. Line, C.M.B., Winlder, B., and Dove, M.T. (1994) Quasielastic incoherent neutron scattering study of the rotational dynamics of the water molecules in analcime. Physics and Chemistry of Minerals, 21, 451-459.
26. Lovesey, S.W. (1984) Theory of neutron scattering from condensed matter, p. 98-169. Clarendon, Oxford, U.K.
27. O'Neill, B., Bass, J.D., Rossman, G.R., Geiger, C.A., and Langer, K. (1991) Elastic properties of pyrope. Physics and Chemistry of Minerals, 17, 617-621.
28. Parker, S.C., and Price, G.D. (1988) Computer modelling of phase transitions in minerals. Advances in Solid-State Chemistry, 1, 295-327.
29. 3 polymorphs (calcite and aragonite), fitted to elastic and vibrational data. Physics and Chemistry of Minerals, 19, 80-87.
30. Pavese, A., Artioli, G., and Prencipe, M. (1995) X-ray single-crystal diffraction study of pyrope in the temperature range 30-973 K. American Mineralogist, 80, 457-464.
31. 3) and bromellite (BeO): A lattice-dynamical estimate. Acta Crystallographica, A49, 473-480.
32. 4) from vibrational spectra and transfer of empirical force fields. Acta Crystallographica, B49, 216-222.
33. 4. Physica B, 174, 87-90.
34. 4: Phonon dispersion relation, density of states and specific heat. Physics and Chemistry of Minerals, 16, 83-97.
35. Sacchetti, F., Petrillo, C., and Moze, O. (1994) Temperature dependence of phonon intensities in tantalum below 4.2 K. Physical Review B, 49, 8747-8750.
36. Salje, E., and Werneke, C. (1982) How to determine phase stabilities from lattice vibrations. In W. Schreyer, Ed., High-pressure researches in geosciences, p. 321-348. Scheweitzerbart'sche Verlagsbuch-handlung, Stuttgart, Germany.
37. 2. Journal of the Chemical Society, Chemical Communications, 1271-1273.
38. Schertl, H.P., Schreyer, W., and Chopin, C. (1991) The pyrope-coesite rocks and their country rocks at Parigi, Dora Maira massif, Western Alps: Detailed petrography, mineral chemistry, and metamorphic evolution. Contributions to Mineralogy and Petrology, 108, 1-21.
39. 3). Zeitschrift für Physik, B92, 273-283.
40. Steigenberger, U., Hagen, M., Caciuffo, R., Petrillo, C., Cilloco, F., and Sacchetti, F. (1991) The development of the PRISMA spectrometer at ISIS. Nuclear and Instrumentation Methods, B53, 87-96.
41. Strauch, D., and Domer, B. (1993) Lattice dynamics of a-quartz: I. Experiment. Journal of Physics of Condensed Matter, 5, 6149-6154.
42. Wall, A., Parker, S.C., and Watson, G.W. (1993) The extrapolation of elastic moduli to high pressure and temperature. Physics and Chemistry of Minerals, 20, 69-75.
43. Wallace, D.C. (1972) Thermodynamics of crystals, 440 p. Wiley, New York.
44. Winkler, B., and Buehrer, W. (1990) Lattice dynamics of andalusite: Prediction and experiment. Physics and Chemistry of Minerals, 17, 453-461.
45. Winkler, B., Dove, M.T., and Leslie, M. (1991) Static lattice energy minimization and lattice dynamics calculations on aluminosilicate minerals. American Mineralogist, 76, 313-331.