  We demonstrate that the model of zero-range potentials can be successfully
employed for the description of attached electrons in atomic and molecular
anions, for example, negatively charged carbon clusters. To illustrate the
capability of the model we calculate the energies of the attached electron for
the family of carbon cluster anions consisting of two-, three- (equilateral
triangle), and four (tetrahedron) carbon atoms equidistant from each other as
well as for a C3 molecule having a chain structure. The considered approach can
be easily extended to carbon clusters containing an arbitrary number of atoms
arranged in an arbitrary configuration.
