The volume of the phase space of atoms oscillating in a solid has been
estimated with the aid of elastic parameters characterizing a given s
olid which are compressibility, the Debye temperature and the mass of
the oscillating atoms. This volume - when divided according to Planck
by h(3)-gives a number of cells in the phase space rather close to the
Avogadro constant. The calculation has been illustrated on the exampl
e of more than seventy monatomic and ionic solids. As a consequence, a
new formula relating different elastic parameters of a solid has been
derived.