A theoretical shock wave equation of state has been derived based on t
he Morse potential-function, known from classical spectroscopy. Using
this potential function and an interstitial-electron model, a linear r
elation between the shock wave velocity and the mass displacement velo
city can be found, analogous to the common empirical relation, but wit
h parameters derived from easily accessible nonshock-wave data. The eq
uation is applicable to a wide range of inorganic materials, as will b
e demonstrated in two forthcoming articles on metals and ceramics. Exa
mples are shown for silver and copper. Calculations are within 5% aver
age error between experimental data and the model. (C) 1995 American I
nstitute of Physics.