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Optical properties of geomaterials: Specific refraction of low-density silica polymorphs

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A linear relationship between the refractive index n and the density ? (often called the specific refraction or Gladstone-Dale law) for pure low-density silica polymorphs is derived from simple atomic properties of SiO2 complex. The considerations are based on the Lorentz electron theory of solids. The eigenfrequency ?0 of elementary electron oscillators, in energy units hv0, is identified with the energy gap EG of a low-quartz. The numerical value of specific refraction is 0.212 cm3/g if we assume EG = 10.1 eV and mean atomic weight = 20.03 g/mol. From laboratory data of several porosils (synthetical isotropic SiO2 phases) with ? = 1.760:1.997 g/cm3 and n = 1.376:1.416 we obtain the average value of the specific refraction equal to 0.211+-0.001 cm3/g.
Rocznik
Strony
77--89
Opis fizyczny
Bibliogr. 22 poz
Twórcy
autor
  • Institute of Geophysics, Polish Academy of Sciences, ul. Księcia Janusza 64, 01-452 Warszawa
Bibliografia
  • 1. Allen, R.D., 1956, A new equation relating index of refraction and specific gravity, Am. Min¬eral 41, 245-267.
  • 2. Anderson, O.L., 1975, Optical properties of rock-forming minerals derived from atomic prop¬erties, Fortschr. Mineral 52, 611-629.
  • 3. Anderson, O.L., and E. Schreiber, 1965, The relation between refractive index and density of minerals related to the Earth's mantle, J. Geophys. Res. 70, 1463-1471.
  • 4. Arndt, J., and W. Hummel, 1988, The general refractivity formula applied to densified silicate glasses, Phys. Chem. Minerals 15, 363-369.
  • 5. Birch, F., 1961, The velocity of compressional waves in rocks to 10 kilobars, 2, J. Geophys. Res. 66, 2199-2224.
  • 6. Bolewski, A., 1982, Detailed Mineralogy, 3rd ed., p. 415-417, Wyd. Geol., Warszawa (in Po¬lish).
  • 7. Borkowska, M., and K. Smulikowski, 1973, Rock-forming Minerals, p. 29 and 67, Wyd. Geol., Warszawa (in Polish).
  • 8. Chao, E.C.T., J.J. Fahey, J. Litter and DJ. Milton, 1962, Stishovite, SiO2, a very high pressure new mineral from Meteor Crater, Arizona, J. Geophys. Res. 67, 419-421.
  • 9. Frondel, C., 1962, Dana's the system of mineralogy, vol. III: Silica minerals, 7th ed., J. Wiley, New York - London.
  • 10. Fyfe, W.S., 1964, Geochemistry of Solids, McGraw-Hill, New York - London, p. 78.
  • 11. Gladstone, J.H., and T.P. Dale, 1863, Researches on the refraction, dispersion, and sensitiveness of liquids, Proc. Roy. Soc. London 12, 448-453.
  • 12. Jackson, M.D., and R.G. Gordon, 1988, MEG investigation of low pressure silica - Shell model for polarization, Phys. Chem. Minerals 16, 212-220.
  • 13. Maj, S., 1982, Molecular refraction in the Earth mantle, Pure Appl. Geophys. 120, 538-547.
  • 14. Maj, S., 1984, On the relationship between refractive index and density for SiO2 polymorphs, Phys. Chem. Minerals 10, 133-136.
  • 15. Maj, S., 1988, Energy gap and density in SiO2 polymorphs, Phys. Chem. Minerals 15, 271-273.
  • 16. Maj, S., 1991, On the energy gap for Fe-poor oxide and silicate minerals, Phys. Chem. Miner¬als 17, 711-715.
  • 17. Marler, B., 1988, On the relationship between refractive index and density for SiO2-polymorphs, Phys. Chem. Minerals 16, 286-290.
  • 18. Nitsan, U., and T.J. Shankland, 1976a, Optical properties and electronic structure of mantle silicates, Geophys. J. R. astron. Soc. 45, 59-87.
  • 19. Nitsan, U., and T.J. Shankland, 1976b, Optical energy gap in silicates, EOS, 57(3), 160.
  • 20. Sclar, C.B., A.P. Young, L.C. Carrison and C.M. Schwartz, 1962, Synthesis and optical crystallography of stishovite, a very high pressure polymorph of SiO2, J. Geophys. Res. 67, 4049-4054.
  • 21. Skinner, B.J., and JJ. Fahey, 1963, Observations on the inversion of stishovite to silica glass, J. Geophys. Res. 68, 5595-5601.
  • 22. Sommerfeld, A., 1954, Optics (Lectures of Theoretical Physics, vol. IV), Academic Press, New York.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSL7-0007-0076
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