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where r .. is the mole fraction of nonsilica and Cs is a constant to be evaluated from glassdensity data. This is based on the idea that silica networks can contract in volume as temperatures are lowered provided, and in proportion as, modifier ions are present in the glass. The effective partial volumes of R 20, the non silica, are assumed as linear functions of temperature but not of the fraction of silica present. Computed and observed densities agree within approximately 1 percent. The effective volumes of nonsilica are somewhat smaller than published estimates for the oxides themselves, as should be expected because of interpenetrations.

Density formula for alkali silicate glasses from annealing to glass-processing temperatures