We present a self-consistent field solution for the fullerene molecule. The
approach combines Poisson's equation with the density of pi electrons deri
ved within the first-order approximation of the many-body perturbation theo
ry. This equation is solved analytically by considering a point structure o
f the positive charges. It is found also that the pi electrons are confined
, in majority, inside the shell. It must be stressed here that other result
s recorded in the field predict that only less than half of all pi electron
s are inside the shell.