For systems of Kihara molecules with circular cores, the values of the redu
ced critical constants were determined from the fourth-order virial expansi
on as functions of the core diameter/thickness ratio. From expressions for
the reduced functions both for the oblate and prolate shapes, the values of
critical constants of four cyclic hydrocarbons and four branched alkanes w
ere evaluated and compared with the experimental data and values obtained f
rom the perturbation theory.