The binding energy of the diamond 1s core exciton has a measured value of 0.2 eV, in marked contrast to the 1.7-eV binding energy of the physically similar nitrogen donor in diamond. Using the local-density approximation to study the core exciton, we find the shallow exciton binding energy is explained by dipole selection rules which prohibit occupation of a deep exciton gap state in single-photon excitation. This deep state has not yet been observed experimentally, and the calculation predicts a binding energy in the range of 0.8--1.7 eV.
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Jackson et al. (1991) studied this question.
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