Computer Science
Scientific paper
Aug 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992gecoa..56.3001c&link_type=abstract
Geochimica et Cosmochimica Acta, vol. 56, Issue 8, pp.3001-3006
Computer Science
Scientific paper
The "simple model" for the refractive indices of mixtures of silicate crystalline phases or glasses is based on the use of the "excess volume" formulation for a "simple mixture" (in the sense defined by Guggenheim), together with the Lorentz-Lorenz formulation of molar refractivity. The resulting application to refractive index and/or volume data yields a parameter, , the pressure derivative of the so-called mismatch energy of the mixture. This model explains precisely the indices for the thallium halides for which a preliminary attempt at such a model was made by Barth in 1930, and works rather well for a number of silicate systems and for at least one glass mixture. A free parameter, the Lorentz-Lorenz "overlap field" term, is fixed at the Lorentz-Lorenz value of 4 r / 3 in the molal refractivity expression but could actually be a variable for different types of silicate mixtures. I also solve the old, old problem posed by and (1935): The linearity of refractive index vs. composition plots on a wt% basis and its later use to eliminate "kinks" in plots with complicated endmembers.
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