Birch's diagram: Some new observations

Physics

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Scientific paper

Birch's diagram plotting the hydrodynamic sound velocity versus density for several metals is used in many of his publications and a number of textbooks to demonstrate the chemical changes from the earth's mantle to the core. This diagram is thoroughly discussed in this paper on the basis of theory and the periodic property for the density of elements. Birch's conclusion that ``even without information concerning chemical abundances, these relations indicate that the mantle is composed principally of light elements and the core of elements of the iron group'' is not convincing in the view of the present study. A more detailed velocity-density plot for all the solid elements having their densities in the range 1.5 - 8 g/cm3 excludes any elements lighter (of lower atomic weight or number) than vanadium as likely candidates for core values.

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