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Ab initio total energy study of brucite, diaspore and hypothetical hydrous wadsleyite

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Abstract

Ab initio total energy calculations based on the local density approximation (LDA) and the generalised gradient approximation (GGA) of density functional theory have been performed for brucite, Mg(OH)2, diaspore, AlOOH and hypothetical hydrous wadsleyite, Mg7Si4O14(OH)2. The use of a general gradient approximation (GGA) is essential to obtain a good agreement (≈ 1%) of the calculated lattice parameters to diffraction data. The calculated fractional coordinates of brucite and diaspore are in good agreement (≈ 1.5%) with experimental data. The angle of the non-linear hydrogen bond in diaspore is reproduced well, and the calculated Raman active OH stretching frequency in brucite is in very good agreement with spectroscopic data. There are no significant differences between the calculated fractional coordinates and the second derivative of the energy when GGA is used instead of standard LDA. It is concluded that the description of the static and the dynamic behavior of the OH groups in these hydroxides is very good. It is therefore inferred that the parameter free model is predictive and it has been used to evaluate a hypothetical structure of hydrous wadsleyite. The model reproduces the unusual Si-O bond length of 1.7 Å, observed in β-Mg2SiO4. It predicts an O-H distance of 0.97 Å, which is significantly shorter than the distance obtained from earlier model calculations.

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References

  • Abbott RN Jr (1991) A short-range O H potential for amphiboles based on OH stretching frequencies. Can Mineral 29:131–142

    Google Scholar 

  • Abbott RN Jr, Post JE, Burnham CW (1989) Treatment of the hydroxyl in structure-energy calculations. Am Mineral 74:141–150

    Google Scholar 

  • Bachelet GB, Hamann DR, Schlüter M (1982) Pseudopotentials that work: from H to Pu. Phys Rev B 26:4199–4228

    Google Scholar 

  • Blaha P, Schwarz K, Herzig P (1985) 1st principle calculation of the electric field gradient of Li3N. Phys Rev Lett 54:1192–1195

    Google Scholar 

  • Busing WR, Levy HA (1958) A single crystal neutron diffraction study of diaspore, AlO(OH). Acta Cryst 11:798–803

    Google Scholar 

  • Car R, Parrinello M (1985) Unified approach for molecular dynamics and density functional theory. Phys Rev Lett 55:2471–2474

    Google Scholar 

  • Catti M, Ferraris G, Hull S, Pavese A (1995) Static compression and H disorder in brucite, Mg(OH)2, to 11 GPA: a powder neutron diffraction study. Phys Chem Minerals 22:200–206

    Google Scholar 

  • Collins DR (1990) Computer simulation and neutron scattering of layer silicate minerals. Ph D thesis, University of Keele

  • D'Arco P, Causa M, Roetti C, Silvi B (1993) Periodic Hartree Fock study of a weakly bonded layer structure: Brucite Mg(OH)2. Phys Rev B 47:3522–3529

    Google Scholar 

  • De Vita A, Manassidis I, Lin JS, Gillan MJ (1992a) The energetics of Frenkel defects in Li2O from first principles. Europhys Lett 19:605–610

    Google Scholar 

  • De Vita A, Gillan MJ, Lin JS, Payne MC, Stich I, Clarke LJ (1992b) Defect energies in oxide materials form first principles. Phys Rev Lett 68:3319–3322

    Google Scholar 

  • Devreese JT, Camp P van (ed) (1985) Electronic Structure, dynamics, and quantum structural properties of condensed matter. NATO ASI, Series B, 121. Plenum Press, New York

    Google Scholar 

  • Finger LW, Hazen RM, Zhang J, Ko J, Navrotsky A (1993) The effect of Fe on the crystal structure of wadsleyite, β(Mg1 xFex)SiO4, 0.00≤x≤0.40. Phys Chem Minerals 19:361–368

    Google Scholar 

  • Gonze X, Kackell P, Scheffler M (1990) Ghost states for seperable norm-conserving ab initio pseudopotentials. Phys Rev B 41:12264–12267

    Google Scholar 

  • Hammer B, Jacobsen KW, Norskov JK (1993a) Polarization and charge-transfer during the dissociation of H2 on Al(110). Surf Sci 297:68–72

    Google Scholar 

  • Hammer B, Jacobsen KW, Norskov JK (1993b) Role of nonlocal exchange-correlation in activated adsorption. Phys Rev Lett 70:3971–3974

    Google Scholar 

  • Hill RJ (1979) Crystal structure refinement and electron density distribution in diaspore. Phys Chem Minerals 5:1979–2000

    Google Scholar 

  • Horiuchi H, Sawamoto H (1981) β-Mg2SiO4: single crystal X-ray diffraction study. Am Mineral 66:568–575

    Google Scholar 

  • Kerker GP (1980) Non-singular atomic pseudopotentials for solid state applications. J Phys Cond Matt 13:L189-L194

    Google Scholar 

  • Kleinman L, Bylander D (1982) Efficacious form for model pseudopotentials. Phys Rev Lett 48:1425–1428

    Google Scholar 

  • Kunc K (1985) Recent results in semiconductor dynamics by ab initio ‘direct’ approach. In: Devreese JT, Camp P van (eds) (1985) Electronic Structure, dynamics, and quantum structural properties of condensed matter. NATO ASI, Series B, 121. Plenum Press, New York

    Google Scholar 

  • Lee C, Vanderbilt D, Laasonen K, Car R, Parrinello M (1992) Ab initio studies on high pressure phases of ice. Phys Rev Lett 69:462–465

    Google Scholar 

  • Lin JS, Qteish A, Payne MC, Heine V (1993) Optimized and transferable non-lococal seperable ab initio pseudo-potentials. Phys Rev B 47:4174–4180

    Google Scholar 

  • McMillan PF, Akaogi M, Sato RK, Poe B, Foley J (1991) Hydroxyl groups in β-Mg2SiO4. Am Mineral 76:354–360

    Google Scholar 

  • Meyer M, Pontikis V (ed) (1991) Computer simulation in materials science. NATO ASI, Series E, 205. Kluwer Academic Publishers, Dordrecht

    Google Scholar 

  • Monkhorst HJ, Pack JD (1976) Special points for Brillouin-zone integration. Phys Rev B 13:5188–5192

    CAS  PubMed  Google Scholar 

  • Nakamoto K, Margoshes M, Rundle RE (1955) Stretching frequencies as a function of distances in hydrogen bonds. J Am Ceram Soc 77:6480–6486

    Google Scholar 

  • Needs R (1992) Private communication

  • Novak A (1974) Hydrogen bonds in solids. Correlation of spectroscopic and crystallographic data. Struct Bond 18:177–216

    Google Scholar 

  • Payne MC, Teter MP, Allan DC, Arias TA, Johannopoulos JD (1992) Iterative minimisation techniques for ab initio total energy calculations — molecular dynamics and conjugate gradients. Rev Mod Phys 64:1045–1097

    Google Scholar 

  • Perdew J, Zunger A (1981) Self-interaction correction to densityfunctional approximations for many electron systems. Phy Rev B 23:5048–5079

    Google Scholar 

  • Perdew JP, Chevary JA, Vosko SH, Jackson KA, Pederson MR, Singh DJ, Fiolhais C (1992) Atoms, molecules, solids and surfaces: Applications of the generalized gradient approximation for exchange and correlation. Phys Rev B 46:6671–6687

    Google Scholar 

  • Ryskin YI (1974) The vibrations of protons in minerals: hydroxyl, water and ammonium. In: Farmer (ed) The infrared spectra of minerals. Mineral Soc Monogr 4

  • Sherman DM (1991) Hartree-Fock band structure, equation of state, and pressure induced hydrogen bonding in brucite, Mg(OH)2. Am Mineral 76:1769–1772

    Google Scholar 

  • Smyth JR (1994) A crystallographic model of hydrous wadsleyite (β Mg2SiO4): An ocean in the Earth's interior? Am Mineral 79:1021–1024

    Google Scholar 

  • Teter MP, Payne MC, Allan DC (1989) Solution of Schrödinger equations for large systems. Phys Rev B 40:12255–12263

    Google Scholar 

  • Wei S, Chou MY (1992) Ab initio calculation of force constants and full phonon dispersions. Phys Rev Lett 69:2799–2802

    Google Scholar 

  • Winkler B, Dove MT, Leslie M (1991) Static lattice energy minimisation and lattice dynamics calculations on aluminosilicate minerals. Am Mineral 76:313–331

    Google Scholar 

  • Winkler B, Milman V, Payne MC (1994) Orientation, location and total energy of hydration of channel H2O in cordierite investigated by ab initio total energy calculations. Am Mineral 79:200–205

    Google Scholar 

  • Zigan F, Rothbauer R (1967) Neutronenbeugungsmessungen am Brucit. N Jb Mineral Monatsh Abh 137–143

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Winkler, B., Milman, V., Hennion, B. et al. Ab initio total energy study of brucite, diaspore and hypothetical hydrous wadsleyite. Phys Chem Minerals 22, 461–467 (1995). https://doi.org/10.1007/BF00200324

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