Time-dependent local-density approximation in real time.

The time-dependent local-density approximation (TDLDA) is applied to the optical response of conjugated carbon molecules in the energy range of 0--30 eV, with calculations given for carbon chains, polyenes, retinal, benzene, and C{sub 60}. The major feature of the spectra, the collective {pi}-{pi}{sup *} transition, is seen at energies ranging from below 2 to 7 eV and is reproduced by the theory to a few tenths of an electron volt with a good account of systematic trends. However, there is some indication that TDLDA predicts too much fragmentation of the strength function in large molecules. Transition strengths are reproduced with a typical accuracy of 20%. The theory also predicts a broad absorption peak in the range of 15--25 eV, and this feature agrees with experiment in the one case where quantitative data is available (benzene).

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