Thermodynamics and lattice vibrations of minerals: 3. Lattice dynamics and an approximation for minerals with application to simple substances and framework silicates

Reviews of Geophysics

Volumn 17, Issue 1, 1979, Pages 35-59

  Kieffer, Susan Werner ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTALS - ATOMIC STRUCTURE; MATHEMATICAL MODELS;

SILICATES;

EID: 0018430241     PISSN: 87551209     EISSN: 19449208     Source Type: Journal    
DOI: 10.1029/RG017i001p00035     Document Type: Review

References (91)

1. The Debye temperature of vitreous silica
2. Ultrasonic absorption in fused silica at low temperatures and high frequencies
3. Low‐temperature heat capacity of vitreous germania
4. Heat capacities of non‐cubic solids
5. On the heat capacity of crystalline magnesium oxide
6. Properties of vitreous silica: Analysis of random network models
7. Atomic vibrations in vitreous silica
8. The vibrational spectra of vitreous silica germania and beryllium fluoride
9. The specific heat of solids
10. 2 glass
11. Lattice dynamics of ionic and covalent crystals
12. The effect of lattice anisotropy on low‐temperature specific heat
13. Frequency distribution of the lattice vibrations in sodium
14. Some aspects of the lattice dynamics of quartz
15. Random network model of vitreous silica
16. The low‐temperature heat capacity and the Raman and Brillouin spectra of vitreous silica
17. Raman selection rule violation for a spinel crystal
18. 2 and its effect on specific heat and thermal expansion
19. A review of some electronic properties of amorphous substances
20. Vibrational spectra of simple silicate glasses
21. 2 and MgO from 20 to 300°K
22. Thermodynamics of polymorphic transformations in silica: Thermal properties from 5 to 1070°K and pressure‐temperature stability fields for coesite and stishovite
23. Isomorphous substitution and infrared and far infrared spectra of the feldspar group
24. Accurate numerical method for calculating frequency distribution functions in solids, III, Extension to tetragonal crystals
25. On the specific heat of the sodium chloride crystal
26. Heat capacities of ethyl and hexyl alcohols from 16°K to 298°K and the corresponding entropies and free energies
27. Thermal properties of sodium‐aluminum and potassium‐aluminum silicates
28. Thermodynamics and lattice vibrations of minerals, 1, Mineral heat capacities and their relationships to simple lattice vibrational models
29. Thermodynamics and lattice vibrations of minerals, 2, Vibrational characteristics of silicates
30. Inelastic cold neutron scattering from different forms of silica
31. Vibrational properties of vitreous germania by inelastic cold neutron scatterning
32. Gittertheorie der mechanischen und thermischen Ergenschaften der Kristalle
33. Theory of anharmonic effects in crystals
34. Calculation of the heat capacity of α‐quartz and vitreous silica from spectroscopic data
35. Elastic constants of single‐crystal rutile under pressures to 7.5 kbar
36. The vibration spectrum of rutile
37. Elastic moduli of quartz versus hydrostatic pressure at 25° and — 195.8°C
38. Elastic wave velocities of polycrystalline stishovite
39. Frequency spectrum of crystalline solids
40. Frequency spectrum of crystalline solids, II, General theory and applications to simple cubic lattices
41. Infrared optical constants of NaCl
42. Specific heat of lamellar crystals
43. Inelastic neutron spectra and the vibrational modes of the hydrogen layer in alkali and alkaline‐earth hydroxides
44. Electron microscope observations of glass
45. Infrared spectra of spinels, I, A critical discussion of the actual interpretation
46. Infrared spectra of spinels, II, The experiment bases for solving the assignment problem
47. Infrared spectra of spinels, III, The normal II‐III spinels
48. Infrared studies of spinels, IV, Normal spinels with a high valency cation
49. The vibration spectrum of a crystal lattice
50. The vibrations of the MgO crystal structure and its infrared absorption spectrum
51. X‐ray diffraction and the structure of vitreous solids
52. Accurate numerical method of calculating frequency distribution functions in solids, II, Extension to hcp crystals
53. Phonon dispersion relations in NaCl
54. Some Debye temperatures from single‐crystal elastic constant data
55. Low‐temperature heat capacities and entropies of feldspar glasses and of anorthite
56. 2, I, A new pentagonal dodecahedral model
57. An investigation of the energy levels in alkaline earth hydroxides by inelastic scattering of slow neutrons
58. Infra‐red absorption studies of some silicate structures
59. Shock compressiblity of twelve minerals
60. Thermal capacity of vitreous silica
61. Elastic and optical properties of stishovite
62. Theory of the heat capacity of chain and layer structures (in Russian)
63. Lattice dynamics of rutile
64. X‐ray investigation of the glassy state
65. X‐ray study of lattice vibrations in aluminum
66. X‐ray diffraction of vitreous silica
67. X‐ray determination of structure of glass
68. Determination of structure of liquids and glass
69. The structure of silica glass by x‐ray diffraction studies
70. Infrared and Raman spectra of glasses
71. The atomic arrangement in glass
72. The vitreous state, comments on the article by Gunnar Hagg, the vitreous state
73. A direct electron microscope study of the structure of glass
74. Thermal conductivity and specific heat of noncrystalline solids