EDGE CONTRIBUTIONS TO THE KIRSTE-POROD FORMULA - THE TRUNCATED CIRCULAR RIGHT CONE CASE

The wide-angle correlation function gamma(r) of a dilute system of particles, shaped as truncated circular right cones, is evaluated in closed form. The angular average of the contribution proportional to r3 gives gamma'''(0+), the value at the origin of the third derivative with respect to r of the corresponding small-angle correlation function. The value differs from thai obtained by the Kirste-Porod formula by a negative contribution that arises from the two circular edges. Moreover, gamma'''(0+) turns out to be divergent in the case of circular right cones.