2008
DOI: 10.1021/jp802704z
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Trap Limited Exciton Transport in Conjugated Polymers

Abstract: A Monte-Carlo approach based on hopping rates computed from quantum-chemical calculations is applied to model the energy diffusion dynamics in a polyindenofluorene conjugated polymer on a predetermined chain morphology. While the model predicts faster time-dependent energy evolution than that seen by site-selective experiments and yields a diffusion length that is an order of magnitude larger than typical experimental values, we show that these discrepancies can be corrected by introducing a low concentration … Show more

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Cited by 75 publications
(99 citation statements)
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“…In each case, the KS orbitals are used to determine the exciton positions r I following Eq. (7) and (8) in the macroscopic system. The transition rates within each cube (or intra-cube transition rates) are calculated by Eq.…”
Section: Construction Of Macroscopic System and Monte Carlo Simulamentioning
confidence: 99%
See 1 more Smart Citation
“…In each case, the KS orbitals are used to determine the exciton positions r I following Eq. (7) and (8) in the macroscopic system. The transition rates within each cube (or intra-cube transition rates) are calculated by Eq.…”
Section: Construction Of Macroscopic System and Monte Carlo Simulamentioning
confidence: 99%
“…To be more predictive, quantum chemical methods have been put forward in conjunction with a distributed monopole model to determine the exciton transition rates employing the Fermi golden rule. [5][6][7][8] However, all these methods assume a Gaussian distribution of exciton density of states as well as perturbation theories and harmonic approximations, whose validity is not generally established. More importantly, none of the methods above has considered explicitly the many-body wave-functions and energy levels of the excitons -both are important for exciton dynamics.…”
Section: Introductionmentioning
confidence: 99%
“…[4] In amorphous or polycrystalline organic semiconductors, the diffusion length of singlet excitons is often 10nm or less as a result of exciton trapping. [5,6] However, reliability and comparability of ℓd measurements still remain an issue, even within one technique. [7][8][9] For example, for the thermally stable and chemically inert small molecule zinc phthalocyanine (ZnPc), reported ℓd-values range over one order of magnitude (see Table S1 in the Supplementary Information (SI)).…”
mentioning
confidence: 99%
“…Athanasopoulos et al applied a Monte Carlo approach to model the exciton diffusion dynamics in a conjugated polymer on a predetermined chain morphology. [17] However, the predicted diffusion lengths were an order of magnitude larger than experimental values, and they introduced trap sites at a concentration of 0.5 % to remedy the discrepancy between the theory and the experiment. A similar Monte Carlo algorithm has also been applied on host-guest crystalline system to both estimate the exciton diffusion length and to reveal the directionality of diffusion dynamics in the condensed phase.…”
Section: Introductionmentioning
confidence: 91%
“…The actual time the exciton is located at a site i is determined by calculating the hopping time to the jth neighbor by a random function [Eq. (12)]: [17,18] …”
Section: à3mentioning
confidence: 99%