A theoretical description of the electronic structure of defects in semiconductors is presented that emphasizes the local bonding environment of the defect. For quantitative results, correlated ab initio wave functions, within the generalized valence-bond method (GVB), are used in describing defect properties. Explicit, detailed calculations are presented for the example of the substitutional nitrogen defect in silicon. The language of bond pairs, lone pairs, and dangling bonds---concepts well defined within the context of the GVB wave functions used here---is found to be a natural language for the discussion of simple defect behavior. The heretofore obscure driving force for the observed ${C}_{3v}$ ground-state geometry for Si:${\mathrm{N}}_{\mathrm{Si}}$ is revealed to derive from local bonding considerations: The nitrogen atom prefers to form only three covalent bonds and have one lone pair, as in ammonia; this naturally results in a ${C}_{3v}$ ground state. Calculations confirm this description, but the arguments are not dependent on them. The crucial role of electronic correlation, neglected in mean-field approaches, for the description of the character of the local electronic structure of a defect is detailed. Comparisons are made between the results of correlated GVB and mean-field Hartree-Fock calculations which illustrate the importance of electronic correlation effects. The wave functions obtained are then used to calculate the hyperfine coupling parameters, from valence Mulliken analyses and directly from all-electron calculations. Agreement with the very detailed results of electron paramagnetic resonance experiments is quite good and the values obtained are insensitive to minor alterations to the model. The arguments used for the nitrogen-impurity case are not species specific; the behavior of a large class of defects can be qualitatively described by the judicious application of well-established local chemical and physical concepts. A few representative systems are discussed qualitatively to illustrate the usefulness of the simple concepts presented here.
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