1992
DOI: 10.1063/1.462576
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High energy two-photon states in finite versus infinite polyenes

Abstract: Optical nonlinearity in π-conjugated polyenes depends crucially on a single two-photon state that is located above the one-photon allowed exciton. In the case of the infinite polyene this single state should be thought of as a collection of states with very narrow bandwidth. The location of this two-photon state in the infinite polyene is of considerable interest. We present numerical data for finite chains and discuss in detail why extrapolation of finite chain data to obtain the energies of the high energy s… Show more

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Cited by 27 publications
(9 citation statements)
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“…In all cases our abcissa is the energy scaled with respect to E(1B u ). As pointed out before, 57 convergence in the scaled energies of high-energy states with increasing chain length is not expected in this region of relatively short chain lengths. This is because the lowest energy excitations ͑for example, the 1B u and the 2A g ) converge with increasing chain length much faster than the higher energy states.…”
Section: B Pa Spectra With Screened Coulomb Parametersmentioning
confidence: 85%
“…In all cases our abcissa is the energy scaled with respect to E(1B u ). As pointed out before, 57 convergence in the scaled energies of high-energy states with increasing chain length is not expected in this region of relatively short chain lengths. This is because the lowest energy excitations ͑for example, the 1B u and the 2A g ) converge with increasing chain length much faster than the higher energy states.…”
Section: B Pa Spectra With Screened Coulomb Parametersmentioning
confidence: 85%
“…In all cases our abcissa is the energy scaled with respect to E(1B u ). As pointed out before [39], convergence in the scaled energies of high energy states with increasing chain length is not expected in this region of relatively short chain lengths. This is because the lowest energy excitations (for example, the 1B u and the 2A g ) converge with increasing chain length much faster than the higher energy states.…”
Section: Correlated Electron Calculations Of Pa Spectramentioning
confidence: 87%
“…The theoretical work of Mazumdar et al [63] and also experimental studies on carotenes [64,651 suggest that the 2A, state may only be weakly coupled to the 1Bu state and that a higher A, state is responsible for two-photon absorption. The higher A, state is considered to be above the B, state, although the energy separation these states decreases with increasing conjugation length.…”
Section: Internal Conversionmentioning
confidence: 97%
“…It has been argued [63] that extrapolations from oligomers of finite length to infinite polyenes based solely on a l/n dependence on the conjugation length, i.e. a 1-dimensional particle-in-a-box model, are unreliable and that for the higher energy excited states, the energy may depend nonlinearly on the reciprocal conjugation length, l / n ,…”
Section: Internal Conversionmentioning
confidence: 99%