Exact semi-analytical expressions are obtained for the zero density si
te-site distribution function and the second virial coefficient for ho
monuclear square-well diatomics. The diatomic molecules considered her
e are composed of two fused square-well spheres with hard core diamete
r sigma, well diameter lambda sigma, and dimer bond length L, such tha
t O < L less than or equal to sigma and 1 less than or equal to lambda
less than or equal to 1 + L/sigma. Very accurate, although approximat
e, analytical expressions are also given for these functions.