An equation of state for a fluid of fused hard sphere (FHS) molecules
is developed based on an interpolation scheme which relates the free e
nergy per particle to that of a fluid of tangent hard sphere (THS) mol
ecules at the same packing fraction. Use of Wertheim's TPT1 (first ord
er thermodynamic perturbation theory) equation for this latter quantit
y yields an analytical expression for the compressibility factor for a
ny shape of the FHS molecule. Predictions are in good agreement with t
he simulation results for rigid homonuclear and heteronuclear diatomic
s, linear and nonlinear triatomics, and tetrahedral pentatomics. For p
urely repulsive models of n-alkane chains, it is found that the accura
cy of the theory deteriorates with increasing chain length. The interp
olation procedure is also generalized to the case of chemical associat
ion.