Molecular refraction in the Earth's mantle |
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Authors: | S?awomir Maj |
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Institution: | (1) Institute of Geophysics, Polish Academy of Sciences, L. Pasteura 3, P-02-093 Warsaw, Poland |
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Abstract: | The Drude law (molecular refraction) for the temperature radiation in a monoatomic model of the Earth's mantle is derived. The considerations are based on the Lorentz electron theory of solids. The characteristic frequency (or eigenfrequency) of independent electron oscillators (in energy units, ) is identified with the band gapE
G of a solid. The only assumption is that solid material related to the Earth's mantle has the mean atomic weight A21 g/mole, and its energy gap (E
G) is about 9 eV. In this case the value of molecular refraction (in cm3/g) is (n
2–1)/=0.5160.52, where andn are the density and the refractive index at wavelength D=0.5893 m (sodium light), respectively. The average molecular refraction of important silicate and oxide minerals with A21, obtained byAnderson andSchreiber (1965) from laboratory data, is
, where
denotes the mean arithmetic value calculated from three principal refractive indices of crystal. For the rock-forming minerals with 19A<24 g/mole the new relation
was found byAnderson (1975). |
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Keywords: | Molecular refraction Refractive index Mantle radiative thermal conductivity Optical properties of minerals |
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