Well-defined maxima have been observed in the secondary electronemission spectrum of graphite excited by low-energy electrons, the energies of which show good agreement with emission from final states located at critical points in the conduction band of a recent band structure calculation. Variation of the intensity of the maxima with angle of incidence of the primary beam, and the observation of interband transition thresholds, indicates that excitation occurs via direct transitions obeying optical selection rules. Transitions to higher excited states in the third Brillouin zone, of relevance to LEED intensity theories, have also been observed.