General relationships among sound speeds: I. New experimental information |
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| Authors: | DH Chung |
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| Institution: | 1. Weston Observatory, Boston College, Weston, Mass., U.S.A.;2. Massachusetts Institute of Technology, Cambridge, Mass. U.S.A. |
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| Abstract: | New ultrasonic data on some crystal structures important in mantle mineralogy are presented for compounds of Mg2GeO4, Fe2GeO4 and Fe2SiO4, both in olivine and spinel structures, and of GeO2, SnO2 and SiO2 in the rutile structure, as their elastic parameters were determined by a powder—matrix method. With these new elasticity data, a power law for the velocity-density relationship arising from lattice dynamics is examined. Specific conclusions made are: (1) ultrasonic measurements on germanate compounds become very useful for estimating the elastic parameters of their silicate analogs: (2) the power law describes the velocity-density relationship for high-pressure polymorphs better than Birch's linear law: and (3) the power law is useful in our study of the elasticity and constitution of the elasticity and constitution of the deep interiors of the earth and other planets. |
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