Equations of State of Muscovite at High Pressures and High Temperatures
Tóm tắt
Abstract—The paper attempts to build equations of state of muscovite in the region of high pressures and high temperatures. This problem is solved by reconstructing the free energy of the crystalline and amorphous muscovite phases as analytical functions of the specific volume and temperature. Mutually consistent equations of state (thermal, caloric, Mie-Grüneisen) of each phase are constructed on the basis of general thermodynamic equations and partial derivatives of reconstructed semiempirical formulas for free energy. The reliability of the equations of state is justified by the agreement of some calculated and experimental thermophysical properties (compression, thermal expansion, bulk compression modulus, heat capacity, Hugoniot) of muscovite at pressures as high as ≈70 GPa and temperatures as high as ≈1700 K.
Tài liệu tham khảo
Comodi, P., Gatta, G.D., Zanazzi, P.F., Levy, D., and Crichton, W., Thermal equations of state of dioctahedral micas on the join muscovite–paragonite, Phys. Chem. Miner., 2002, vol. 29, pp. 538–544.
Curetti, N., Levy, D., Pavese, A., and Ivaldi, G., Elastic properties and stability of coexisting 3T and 2M1 phengite polytypes, Phys. Chem. Miner., 2006, vol. 32, pp. 670–678.
Faust, J. and Knittle, E., The equation of state, amorphization and high-pressure phase diagram of muscovite, J. Geophys. Res., 1994, vol. 99, pp. 19785–19792.
Molodets, A.M., Shakhrai, D.V., and Golyshev, A.A., Semiempirical description of thermophysical properties of lithium deuteride at high pressures and temperatures, High Temp., 2017a, vol. 55, no. 4, pp. 510–514.
Molodets, A.M., Golyshev, A.A., and Shakhrai, D.V., Equations of state and melting curve of boron carbide in the high-pressure range of shock compression, J. Exp. Theor. Phys., 2017b, vol. 124, no. 3, pp. 469–475.
Robie, R.A. and Hemingway, B.S., Thermodynamic properties of minerals and related substances at 298.15 K and 1 Bar (105 Pascals) pressure and at higher temperatures, U.S. Geol. Surv. Bull. 2131, Washington: U. S. Government Printing Office, 1995, pp. 386–387.
Robie, R.A., Hemingway, B.S., and Wilson, W.H., Heat capacities of calorimetry conference copper and of muscovite KAl2(AlSi3)O10(OH)2, pyrophyllite Al2Si4O10(OH)2, and illite K3(Al7Mg)(Si14Al2)O40(OH)8 between 15 and 375 K and their standard entropies at 298.15K, J. Res. U.S. Geol. Surv., 1976, vol. 4, no. 6, pp. 631–644.
Sekine, T., Rubin, A.M., and Ahrens, T.J., Shock wave equation of state of muscovite, J. Geophys. Res., 1991 vol. 96, pp. 19675–19680.
Sokolova, T.S., Equations of state and thermodynamics of minerals based on Helmholtz free energy, Cand. Sci. (Geol.–Mineral.) Dissertation, Irkutsk: Inst. Earth’s Crust SB RAS, 2014.
Teich-McGoldrick, S.L., Greathouse, J.A., and Cygan, R.T., Molecular dynamics simulations of structural and mechanical properties of muscovite: pressure and temperature effects, J. Phys. Chem. C., 2012, vol. 116, pp. 15099–15107.
Ulian, G. and Valdrè, G., Density functional investigation of the thermo-physical and thermo-chemical properties of 2M1 muscovite, Am. Mineral., 2015, vol. 100, pp. 935–944.