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Volumn 38, Issue 3, 2011, Pages 223-239

High-pressure thermo-elastic properties of beryl (Al4Be6Si12O36) from ab initio calculations, and observations about the source of thermal expansion

Author keywords

Ab initio calculations; Beryl; Bulk modulus; Compressibility; Thermal expansion; Thermo elastic properties

Indexed keywords

AB INITIO CALCULATIONS; BERYL; BULK MODULUS; CELL VOLUME; ELASTIC PROPERTIES; EXPERIMENTAL DATA; GEOMETRIC EFFECTS; HARMONIC APPROXIMATION; LOW-FREQUENCY MODES; ROOM TEMPERATURE; SOFT MODES; STATIC PRESSURE; THERMAL BEHAVIOURS; THERMAL EXPANSION COEFFICIENTS; THERMAL PRESSURE; THERMO-ELASTIC PROPERTIES; TOTAL PRESSURE; UNIT-CELL VOLUME; VIBRATIONAL FREQUENCIES; VIBRATIONAL MODES; ZERO POINT;

EID: 79952069003     PISSN: 03421791     EISSN: 14322021     Source Type: Journal    
DOI: 10.1007/s00269-010-0398-8     Document Type: Article
Times cited : (52)

References (49)
  • 2
    • 0002565606 scopus 로고    scopus 로고
    • Equations of state
    • In: Hazen RM, Downs RT (eds) High-temperature and high-pressure crystal chemistry
    • Angel RJ (2000) Equations of state. In: Hazen RM, Downs RT (eds) High-temperature and high-pressure crystal chemistry. Rev Mineral Geochem 41: 35-59.
    • (2000) Rev Mineral Geochem , vol.41 , pp. 35-59
    • Angel, R.J.1
  • 5
    • 0000189651 scopus 로고
    • Density-functional thermochemistry 3. The role of exact exchange
    • Becke AD (1993) Density-functional thermochemistry 3. The role of exact exchange. J Chem Phys 98: 5648-5652.
    • (1993) J Chem Phys , vol.98 , pp. 5648-5652
    • Becke, A.D.1
  • 7
    • 0001027957 scopus 로고    scopus 로고
    • Hartree-Fock geometry optimisation of periodic systems with the CRYSTAL code
    • Civalleri B, Ph D'Arco, Orlando R, Saunders VR, Dovesi R (2001) Hartree-Fock geometry optimisation of periodic systems with the CRYSTAL code. Chem Phys Lett 348: 131-138.
    • (2001) Chem Phys Lett , vol.348 , pp. 131-138
    • Civalleri, B.1    D'Arco, P.2    Orlando, R.3    Saunders, V.R.4    Dovesi, R.5
  • 9
    • 75749155075 scopus 로고    scopus 로고
    • On the performance of eleven DFT functionals in the description of the vibrational properties of aluminosilicates
    • Demichelis R, Civalleri B, Ferrabone M, Dovesi R (2009) On the performance of eleven DFT functionals in the description of the vibrational properties of aluminosilicates. Int J Quant Chem 110: 406-415.
    • (2009) Int J Quant Chem , vol.110 , pp. 406-415
    • Demichelis, R.1    Civalleri, B.2    Ferrabone, M.3    Dovesi, R.4
  • 10
    • 0001629501 scopus 로고
    • Rigid unit modes in framework silicates
    • Dove MT, Heine V, Hammonds KD (1995) Rigid unit modes in framework silicates. Miner Mag 59: 629-639.
    • (1995) Miner Mag , vol.59 , pp. 629-639
    • Dove, M.T.1    Heine, V.2    Hammonds, K.D.3
  • 12
    • 0002087683 scopus 로고
    • Thermal expansion
    • In: Ahrens TJ (ed) Mineral physics and crystallography: a handbook of physical constants, Reference Shelf no. 2
    • Fei Y (1995) Thermal expansion. In: Ahrens TJ (ed) Mineral physics and crystallography: a handbook of physical constants. American Geophysical Union, Reference Shelf no. 2, pp 29-44.
    • (1995) American Geophysical Union , pp. 29-44
    • Fei, Y.1
  • 14
    • 84979110323 scopus 로고
    • Theorie des festen zustandes einatomizer elemente
    • Grüneisen E (1912) Theorie des festen zustandes einatomizer elemente. Ann Phys (Leipzig) 39: 257-306.
    • (1912) Ann Phys (Leipzig) , vol.39 , pp. 257-306
    • Grüneisen, E.1
  • 15
    • 0032656464 scopus 로고    scopus 로고
    • Geometrical origin and theory of negative thermal expansion in framework structures
    • Heine V, Welche PRL, Dove MT (1999) Geometrical origin and theory of negative thermal expansion in framework structures. J Am Cer Soc 82: 1793-1802.
    • (1999) J Am Cer Soc , vol.82 , pp. 1793-1802
    • Heine, V.1    Welche, P.R.L.2    Dove, M.T.3
  • 17
    • 0022557752 scopus 로고
    • Structural mechanisms of anomalous thermal expansion of cordierite-beryl and other framework silicates
    • Hochella MF, Brown GE Jr (1986) Structural mechanisms of anomalous thermal expansion of cordierite-beryl and other framework silicates. J Am Cer Soc 69: 13-18.
    • (1986) J Am Cer Soc , vol.69 , pp. 13-18
    • Hochella, M.F.1    Brown Jr., G.E.2
  • 18
    • 0018430892 scopus 로고
    • Thermodynamics and lattice vibrations of minerals: 1. Mineral heat capacities and their relationships to simple lattice vibrational models
    • Kieffer SW (1979a) Thermodynamics and lattice vibrations of minerals: 1. Mineral heat capacities and their relationships to simple lattice vibrational models. Rev Geophys Space Phys 17: 1-19.
    • (1979) Rev Geophys Space Phys , vol.17 , pp. 1-19
    • Kieffer, S.W.1
  • 19
    • 0018430241 scopus 로고
    • Thermodynamics and lattice vibrations of minerals: 3. Lattice dynamics and an approximation for minerals with application to simple substances and framework silicates
    • Kieffer SW (1979b) Thermodynamics and lattice vibrations of minerals: 3. Lattice dynamics and an approximation for minerals with application to simple substances and framework silicates. Rev Geophys Space Phys 17: 35-59.
    • (1979) Rev Geophys Space Phys , vol.17 , pp. 35-59
    • Kieffer, S.W.1
  • 21
    • 0345491105 scopus 로고
    • Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density
    • Lee C, Yang W, Parr RG (1988) Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density. Phys Rev B37: 785-789.
    • (1988) Phys Rev , vol.B37 , pp. 785-789
    • Lee, C.1    Yang, W.2    Parr, R.G.3
  • 23
    • 1842816907 scopus 로고
    • Special points for Brillouin-zone integration
    • Monkhrost HJ, Pack JD (1976) Special points for Brillouin-zone integration. Phys Rev B8: 5188-5192.
    • (1976) Phys Rev , vol.B8 , pp. 5188-5192
    • Monkhrost, H.J.1    Pack, J.D.2
  • 24
    • 0000131248 scopus 로고
    • Structure and thermal expansion of beryl
    • Morosin B (1972) Structure and thermal expansion of beryl. Acta Cryst B28: 1899-1903.
    • (1972) Acta Cryst , vol.B28 , pp. 1899-1903
    • Morosin, B.1
  • 26
    • 1642322849 scopus 로고    scopus 로고
    • Intrinsic anharmonicity in equations of state and thermodynamics of solids
    • Oganov AR, Dorogokupets PI (2004) Intrinsic anharmonicity in equations of state and thermodynamics of solids. J Phys Condens Matter 16: 1351-1360.
    • (2004) J Phys Condens Matter , vol.16 , pp. 1351-1360
    • Oganov, A.R.1    Dorogokupets, P.I.2
  • 27
    • 20144381753 scopus 로고    scopus 로고
    • Ab Initio theory of phase transitions and thermoelasticity of minerals
    • C. M. Gramaccioli (Ed.), Budapest: Eötvös University Press
    • Oganov AR, Brodholt JP, Price GD (2002) Ab Initio theory of phase transitions and thermoelasticity of minerals. In: Gramaccioli CM (ed) Energy modelling in minerals, EMU notes in mineralogy, vol 4. Eötvös University Press, Budapest, pp 83-170.
    • (2002) Energy Modelling in Minerals, EMU Notes in Mineralogy , vol.4 , pp. 83-170
    • Oganov, A.R.1    Brodholt, J.P.2    Price, G.D.3
  • 30
    • 77950902115 scopus 로고    scopus 로고
    • Thermo-chemical and thermo-physical properties of the high pressure phase Anhydrous B (Mg14Si5O24): an ab initio all-electron investigation
    • Ottonello G, Civalleri B, Ganguly J, Perger WF, Belmonte D, Vetuschi Zuccolini M (2010) Thermo-chemical and thermo-physical properties of the high pressure phase Anhydrous B (Mg14Si5O24): an ab initio all-electron investigation. Am Mineral 95: 563-573.
    • (2010) Am Mineral , vol.95 , pp. 563-573
    • Ottonello, G.1    Civalleri, B.2    Ganguly, J.3    Perger, W.F.4    Belmonte, D.5    Vetuschi Zuccolini, M.6
  • 32
    • 1942454763 scopus 로고    scopus 로고
    • The calculation of the vibrational frequencies of crystalline compounds and its implementation in the CRYSTAL code
    • Pascale F, Zicovich-Wilson CM, Lopez Gejo F, Civalleri B, Orlando R, Dovesi R (2004b) The calculation of the vibrational frequencies of crystalline compounds and its implementation in the CRYSTAL code. J Comp Chem 25: 888-897.
    • (2004) J Comp Chem , vol.25 , pp. 888-897
    • Pascale, F.1    Zicovich-Wilson, C.M.2    Lopez Gejo, F.3    Civalleri, B.4    Orlando, R.5    Dovesi, R.6
  • 35
    • 69349101370 scopus 로고    scopus 로고
    • Ab initio calculation of elastic constants of crystalline systems with the CRYSTAL code
    • Perger WF, Criswell J, Civalleri B, Dovesi R (2009) Ab initio calculation of elastic constants of crystalline systems with the CRYSTAL code. Comp Phys Comm 180: 1753-1759.
    • (2009) Comp Phys Comm , vol.180 , pp. 1753-1759
    • Perger, W.F.1    Criswell, J.2    Civalleri, B.3    Dovesi, R.4
  • 36
    • 0031414118 scopus 로고    scopus 로고
    • Lattice-dynamical evaluation of thermodynamic properties and atomic displacement parameters for beryl using a transferable empirical force field
    • Pilati T, Demartin F, Gramaccioli CM (1997) Lattice-dynamical evaluation of thermodynamic properties and atomic displacement parameters for beryl using a transferable empirical force field. Am Mineral 82: 1054-1062.
    • (1997) Am Mineral , vol.82 , pp. 1054-1062
    • Pilati, T.1    Demartin, F.2    Gramaccioli, C.M.3
  • 43
    • 68949090413 scopus 로고    scopus 로고
    • The vibrational spectrum of lizardite-1T [Mg3Si2O5(OH)4] at the Γ point: a contribution from an ab initio periodic B3LYP calculation
    • Prencipe M, Noel Y, Bruno M, Dovesi R (2009) The vibrational spectrum of lizardite-1T [Mg3Si2O5(OH)4] at the Γ point: a contribution from an ab initio periodic B3LYP calculation. Am Mineral 94: 986-994.
    • (2009) Am Mineral , vol.94 , pp. 986-994
    • Prencipe, M.1    Noel, Y.2    Bruno, M.3    Dovesi, R.4
  • 45
    • 77951500054 scopus 로고
    • The theory of the anharmonic oscillator
    • Viswanathan KS (1957) The theory of the anharmonic oscillator. Proceed Indian Acad Sci 46: 203-217.
    • (1957) Proceed Indian Acad Sci , vol.46 , pp. 203-217
    • Viswanathan, K.S.1
  • 47
    • 33745208986 scopus 로고    scopus 로고
    • More accurate generalized gradient approximation for solids
    • Wu Z, Cohen RE (2006) More accurate generalized gradient approximation for solids. Phys Rev B73: 235116.
    • (2006) Phys Rev , vol.B73 , pp. 235116
    • Wu, Z.1    Cohen, R.E.2
  • 48
    • 26544436717 scopus 로고
    • The elastic properties of beryl
    • Yoon HS, Newnham RE (1973) The elastic properties of beryl. Acta Cryst A29: 507-509.
    • (1973) Acta Cryst , vol.A29 , pp. 507-509
    • Yoon, H.S.1    Newnham, R.E.2
  • 49
    • 0001299802 scopus 로고
    • Classification of silicates and other minerals with tetrahedral structures
    • Zoltai T (1960) Classification of silicates and other minerals with tetrahedral structures. Am Mineral 45: 960-973.
    • (1960) Am Mineral , vol.45 , pp. 960-973
    • Zoltai, T.1


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