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• W2318961014 endingPage "1208" @default.
• W2318961014 startingPage "1188" @default.
• W2318961014 abstract "The damped harmonic oscillator model for thermal conductivity of insulators is improved, lead­ing to a formula that predicts thermal conductivity at ambient conditions (k0) from various physical properties, most of which are commonly measured. Specifically, k0 = [ρ/(3ZM)] Cv [(uP + us)/2]2/ <Γ>, where ρ is density, Z is the number of formula units in the primitive unit cell, M is the molar weight, Cv is heat capacity, u is the sound speed (P denotes compression; S denotes shear), and <Γ> is the average of the damping coefficients determined from peak widths in infrared reflectivity spec­tra, or from suitable Raman and Brillouin spectra. The classical physics and quantum-mechanical basis for this model is discussed, with emphasis on the effect of phonon-phonon interactions on mode properties. The calculated values of k0 all lie within the experimental uncertainty of the mea­surements for all samples with the spinel or olivine structure examined by Horai (1971) with known or approximately correct chemical compositions. Other divergent measurements of k for MgAl2O4 are discounted for various reasons. Early studies of Fe-bearing spinels are not generally reliable, but rough estimates from the above equation are consistent with all data, and good agreement is ob­tained for samples such as Mg0.5Fe0.5Al2O4 and γ-Fe2SiO4 for which the previous authors obtained chemical data, and for which IR reflectivity data exist. The theory reproduces the measured depen­dence of k0 on composition and structure. Anisotropy in k0 results mainly from differences in lattice constants (j): the equation for olivine is kj/k0 =(V⅓/j)0.73 which predicts the ratios within 3%. For solid solutions between Fe and Mg, the model provides a non-linear dependence of k0 on mol% Fe, with the damping coefficient being the key factor producing non-linearity. Predicted ambient values are 11.3 ± 0.4 W/m-K for γ-Mg2SiO4, 6.5 ± 0.7 W/m-K for γ-Mg12Fe0.8SiO4, and 6.9 ± 0.3 W/m-K for β-Mg2SiO4. The high k0 for ringwoodite suggests that heat in Earth’s transition zone should be conducted twice as efficiently as in the adjacent upper and lower mantles: this discontinuous depth dependence of k could impact thermal models of conduction in subducting slabs and of mantle convection" @default.
• W2318961014 created "2016-06-24" @default.
• W2318961014 creator A5077336390 @default.
• W2318961014 date "2001-10-01" @default.
• W2318961014 modified "2023-10-16" @default.
• W2318961014 title "Thermal conductivity of spinels and olivines from vibrational spectroscopy: Ambient conditions" @default.
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• W2318961014 doi "https://doi.org/10.2138/am-2001-1008" @default.
• W2318961014 hasPublicationYear "2001" @default.
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