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The Anton–Schmidt equation is an empirical equation of state for crystalline solids, e.g. for pure metals or intermetallic compounds.Quantum mechanical investigations of intermetallic compounds show that the dependency of the pressure under isotropic deformation can be described empirically by
Integration of p {\displaystyle p} leads to the equation of state for the total energy. The energy E {\displaystyle E} required to compress a solid to volume V {\displaystyle V} is
which gives
The fitting parameters β , n {\displaystyle \beta ,n} and V 0 {\displaystyle V_{0}} are related to material properties, where