Abstract
The electronic structure of σ-bonded silicon chains is calculated in the tight-binding approximation. The exciton spectrum is calculated by diagonalization of the full matrix of the Coulomb interaction taking into account the electron-hole exchange interaction. The energy, the size and the radiative lifetime of excitons are computed as a function of the size of the chain. The results show that chains of silicon atoms are probably not at the origin of the visible luminescence of porous silicon but could explain its fast band in the blue.
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