A scaling law for K′0 for silicates with constant mean atomic mass

It is shown that Birch's formula for the isothermal pressure derivative of the isothermal bulk modulus, K′, can be used to generate reasonable values of K′₀ for a sequence of silicates with various ambient densities and constant mean atomic mass, m¯. The theory predicts values in fairly good agreement with experimental results, although there is a regrettable spread of experimental values of K′₀ for each solid. This first-order approximation theory for scaling between K′₀ and ?₀ is analogous to the law of corresponding states which scales K₀ and ?₀.