Skip to main content
Log in

Molecular dynamics simulations of pressure and temperature effects on MgSiO3 and Mg2SiO4 melts and glasses

  • Published:
Physics and Chemistry of Minerals Aims and scope Submit manuscript

Abstract

Ab-initio interionic potentials for Mg2+, Si4+, and O2− have been used in molecular dynamics (MD) simulations to investigate diffusivity changes, pressure-induced structural transitions, and temperature effects on polymerization in MgSiO3 and Mg2SiO4 melts and glasses. The potential gives reasonable agreement with the 0.1 MPa radial distribution function of MgSiO3 glass. Maxima in the diffusion coefficients of Si4+ and O2− occur as pressure is increased on the MgSiO3 melt. The controlling structural mechanism for this behavior is the Q1 species of SiO4 tetrahedra. Mg2+ diffusion coefficients decrease monotonically with pressure in both melt compositions. Increasing Mg2+ coordination number and population of 3- and 4-membered SiO4 rings with pressure combine to hinder translation of the Mg2+ ions. The dominant changes in structure with pressure are a decrease in the intertetrahedral (Si-O--Si) angle up to approximately 4 g/cm3 and coordination changes of the ions above this density. Temperature effects on viscosity in these simulated melts are indirectly studied by analyzing polymerization changes with temperature. Polymerization and coordination numbers increase with decreasing temperature and a small quench rate effect is observed. Fair agreement is found between the MD simulations and experimental equation of state for Mg2SiO4, but the equation of state predictions for MgSiO3 melts are much less accurate. The zero pressure volume, V 0, is significantly higher and K 0 is lower in the simulations than empirical values. The inadequacies reflect error in using the ionic approximation for polymerized systems and a need to collect more data for a variety of molecular configurations in the development of ab-initio potentials.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Angell CA, Cheeseman PA, Tammaddon S (1982) Pressure enhancement of ion mobilities in liquid silicates from computer simulation studies to 800 kbars. Science 218:885–887

    Google Scholar 

  • Angell CA, Cheeseman PA, Tammaddon S (1983) Water-like transport property anomalies in liquid silicates investigated at high T and P by computer simulation techniques. Bull Miner 106:87–97

    Google Scholar 

  • Angell CA, Scamehorn CA, Phifer CC, Kadiyala RR, Cheeseman PA (1988) Ion dynamics studies of liquid and glassy silicates, and gas-in-liquid solutions. Phys Chem Minerals 15:221–227

    Google Scholar 

  • Birch F (1978) Finite strain isotherm and velocities for single-crystal and polycrystalline NaCl at high pressures and 300 K. J Geophys Res 83:1257–1268

    Google Scholar 

  • Bottinga Y (1985) On the isothermal compressibility of silicate liquids at high pressure. Earth Plan Sci Let 74:350–360

    Google Scholar 

  • Brandriss ME, Stebbins JF (1987) Effects of glass transition temperature on silicate glass structures: Variations in Q-species abundances. Eos Trans Am Geophys Union 68:1456

    Google Scholar 

  • Brawer SA (1983) Ab-initio calculation of the vibrational spectra of BeF2 glass simulated by molecular dynamics. J Chem Phys 79:4539–4545

    Google Scholar 

  • Cohen AJ, Gordon RG (1976) Modified electron-gas study of the stability, elastic properties and high pressure behavior of MgO and CaO crystals. Phys Rev B14:4503–4505

    Google Scholar 

  • Damrauer R, Burggraf LW, Davis LP, Gordon MS (1988) Gasphase and computational studies of pentacoordinate silicon. J Am Chem Soc 110:6601–6606.

    Google Scholar 

  • Gibbs GV (1982) Molecules as models for bonding in silicates. Am Mineral 67:421–450

    Google Scholar 

  • Hazen RM, Finger LW (1982) Comparative Crystal Chemistry. Wiley, New York

    Google Scholar 

  • Hazen RM, Finger LW, Hemley RJ, Mao HK (1989) High-pressure crystal chemistry and amorphization of α-quartz. Solid State Commun 72:507–599

    Google Scholar 

  • Herzberg CT (1987) Magma density at high pressure Part 2: A test of the olivine flotation hypothesis. In: Mysen O (ed) Magmatic Processes: Physicochemical Principles, Geochemical Society Special Publication No 1, University Park, PA

  • Hill TL (1962) An Introduction to Statistical Thermodynamics. Addison-Wesley Publishing Co

  • Hofmann AW (1980) Diffusion in natural silicate melts: A critical review. In: Hargraves RB (ed) Physics of Magmatic Processes. Princeton University Press, Princeton, New Jersey

    Google Scholar 

  • Kubicki JD (1989) Molecular dynamics simulations of chemical diffusion between MgSiO3 and Mg2SiO4 melts. Annual Report of the Director. Geophysical Laboratory, Carnegie Institution, Washington, DC, 89:58–65

  • Kubicki JD, Hemley RJ (1987) In situ, high pressure Raman spectra of silicate glasses, Annual Report of the Director: Geophysical Laboratory, Carnegie Institution, Washington, DC, 87:53–56

  • Kubicki JD, Lasaga AC (1988) Molecular dynamics simulations of SiO2 melt and glass: Ionic and covalent models. Am Mineral 73:945–955

    Google Scholar 

  • Kubicki JD, Lasaga AC (1990) Molecular dynamics and diffusion in silicate melts. In: Kushiro I, Perchuk L (eds) Adv Phys Geochem 6:1–50

  • Kubicki JD, Lasaga AC, Hemley RJ (1989a) Ab-initio molecular dynamics simulations of forsterite and MgSiO3-perovskite. Eos Trans Am Geophys Union 70:349

    Google Scholar 

  • Kubicki JD, Hemley RJ, Hofmeister AM (1989b) Spectroscopic studies of pressure-induced structural transformation in silicate glasses (abstract) 28th Inter Geol Cong 2–236

  • Kushiro I (1980) Viscosity, density and structure of silicate melts at high pressures and their petrological applications. In: Hargraves RB (ed) Physics of Magmatic Processes. Princeton University Press, Princeton, New Jersey

    Google Scholar 

  • Kushiro I (1983) Effect of pressure on the diffusitivity of network-forming cations in melts of jadeitic composition. Geochim Cosmochim Acta 47:1415–1422

    Google Scholar 

  • Lasaga AC, Gibbs GV (1987) Applications of quantum mechanical potential surfaces to mineral physics calculations. Phys Chem Minerals 14:107–117

    Google Scholar 

  • Lasaga AC, Gibbs GV (1988) Quantum mechanical potential surfaces and calculations on minerals and molecular clusters. Phys. Chem Minerals 16:29–41

    Google Scholar 

  • Lasaga AC, Gibbs GV (1989) Ab-initio quantum mechanical calculations of water-rock interactions: Adsorption and hydrolysis reactions. Am J Sci 290:263–295

    Google Scholar 

  • Lasaga AC, Gibbs GV (1990) Ab-initio calculations on hyroxyacid silicate molecules and implications for the structure defects and spectra of SiO2 glass. Phys Chem Minerals, in press

  • Leinenweber K, Navrotsky A (1988) A transferable interatomic potential for crystalline phases in the system MgO-SiO2. Phys. Chem Minerals 15:588–596

    Google Scholar 

  • Levien L, Prewitt CT, Weidner DJ (1980) Structure and elastic properties of quartz at pressure. Am Mineral 65:920–930

    Google Scholar 

  • Matsui Y, Kawamura K, Syono Y (1981) Molecular dynamics simulations applied to silicate systems: Molten and vitreous MgSiO3 and Mg2SiO4. In: Akimoto S, Manghnani MH (eds) High Pressure Research in Geophysics. Adv Earth Plan Sci, Reidel, Boston, 12:511–524

  • Matsui M (1988) Molecular dynamics study of MgSiO3 perovskite. Phys Chem Minerals 16:234–238

    Google Scholar 

  • Oestrike R, Kirkpatrick RJ (1988) 27Al and 29Si MASS NMR spectroscopy of glasses in the system anorthite-diopside-forsterite. Am Mineral 73:534–546

    Google Scholar 

  • Rigden SM, Ahrens TJ, Stolper EM (1984) Densities of liquid silicates at high pressures. Science 226:1071–1074

    Google Scholar 

  • Rustad JR, Yuen DA, Spera FJ (1989) The effect of size, mass, and polarizability on correlations in the motion of atoms in network liquids: Implications for SiO2 and GeO2. Eos Trans Am Geophys Union 70:1394

    Google Scholar 

  • Scarfe CM, Mysen BO, Virgo D (1987) Pressure dependence of the viscosity of silicate melts. In: Magmatic Processes: Physicochemical Principles, The Geochemical Society, Special Publication No 1, University Park, PA

  • Schofield P (1973) Computer simulation studies of the liquid state. Comp Phys Comm 5:17–23

    Google Scholar 

  • Stebbins JF, Farnan I (1988) Spatial orientation of structural units in silicate glasses: Results from NMR spectroscopy. Eos Trans Am Geophys Union 69:504

    Google Scholar 

  • Stolper E, Ahrens TJ (1987) On the nature of pressure-induced coordination changes in silicate melts and glasses. Geophys Res Lett 14:1231–1233

    Google Scholar 

  • Stolper E, Walker D, Hagar B, Hays J (1981) Melt segregation from partially molten source regions: The importance of melt density and source region size. J Geophys Res 86:6261–6271

    Google Scholar 

  • Williams Q, Jeanloz R (1988) Spectroscopic evidence for pressure-induced coordination changes in silicate glasses and melts. Science 239:902–905

    Google Scholar 

  • Woodcock LV (1975) Molecular dynamics calculations on molten ionic salts. In: Braunstein J, Mamantov G, Smith GP (eds) Adv Molten Salt Chem 3:1–74

  • Woodcock LV, Angell CA, Cheeseman P (1976) Molecular dynamics studies of the vitreous state: Ionic systems and silica. J Chem Phys 65:1565–1567

    Google Scholar 

  • Xue X, Stebbins JF, Kanzaki M, Tronnes RG (1989) Silicon coordination and speciation changes in a silicate liquid at high pressures. Science 245:962–964

    Google Scholar 

  • Yin CD, Okuno M, Morikawa H, Marumo F (1983) Structure analysis of MgSiO3 glass. J Non-Cryst Sol 55:131–141

    Google Scholar 

  • Yoder HS (1976) Generation of Basaltic Magma, National Academy of Sciences, Washington, DC

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kubicki, J.D., Lasaga, A.C. Molecular dynamics simulations of pressure and temperature effects on MgSiO3 and Mg2SiO4 melts and glasses. Phys Chem Minerals 17, 661–673 (1991). https://doi.org/10.1007/BF00202236

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00202236

Keywords

Navigation