Abstract
Velocity-Density Systematics: Derivation from Debye Theory and the Effect of Ionic Size
Hoffman Laboratory, Harvard University, Cambridge, Massachusetts 02138
Simple approximations for the lattice vibrational spectrum allow the regularities of velocity-density plots with structure and composition to be semiquantitatively explained from a simple and unified point of view. It is possible to explicitly separate paths of constant mean atomic weight A where velocities change because of compression or phase changes from paths of constant crystallographic structure where the mean atomic weight is changed. One can approximate the hydrodynamic velocity u ϕ along the path of constant crystallographic structure by the formula ∂ ln u ϕ/∂ ln ρ = − ½[1−(∂ ln V M /∂ ln A)]−1, where ρ is the density and V M is the molar volume.
Received 22 November 1971; .
Citation: (1972), Velocity-Density Systematics: Derivation from Debye Theory and the Effect of Ionic Size, J. Geophys. Res., 77(20), 3750–3758.
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