A comparison is made of the finite-difference method and finite basis set approach (the algebraic approximation) incalculations using the Hartree-Fock model for the ground(X 1Σg+) state of the nitrogen moleculewith finite nuclei. Finite difference Hartree-Fock energiesare determined for the Gaussian nuclear model and the Ferminuclear model as well as the usual point nucleus. Finite basisset Hartree-Fock energies are calculated for a Gaussiannuclear model using part of a sequence of even-tempered basissets of Gaussian-type functions which in a previously reportedstudy with a point nucleus model have been shown to support anaccuracy approaching1 µHartree in the total Hartree-Fock energy. It isdemonstrated that the two methods are capable of accuratelyaccounting for the finite nuclear charge distribution. In thecase of the nitrogen molecule the effect can be very accuratelyestimated from atomic calculations.