On estimates for the weights in Gaussian quadrature in the ultraspherical case

Förster, Klaus-Jürgen; Petras, Knut

doi:10.1090/s0025-5718-1990-1023758-1

Cited by 30 publications

(16 citation statements)

References 25 publications

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“…orster type dipole-dipole interaction [1,5]. Unidirectional FRET between a donor and an acceptor moiety is a valuable tool to measure distances and distance fluctuations at a length scale of several nanometers [6].…”

Section: Introductionmentioning

confidence: 99%

Investigation of molecular dimers by ensemble and single molecule spectroscopy

Christ

Petzke

Bordat

et al. 2002

Journal of Luminescence

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Investigation of molecular dimers by ensemble and single molecule spectroscopy Christ, Th.; Petzke, F.; Bordat, P.; Herrmann, Andreas; Reuther, E.; Müllen, K.; Basché, Th. Link to publication in University of Groningen/UMCG research database Citation for published version (APA): Christ, T., Petzke, F., Bordat, P., Herrmann, A., Reuther, E., Müllen, K., & Basché, T. (2002). Investigation of molecular dimers by ensemble and single molecule spectroscopy. Journal of Luminescence, 98, 23-33. CopyrightOther than for strictly personal use, it is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license (like Creative Commons).Take-down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim.Downloaded from the University of Groningen/UMCG research database (Pure): http://www.rug.nl/research/portal. For technical reasons the number of authors shown on this cover page is limited to 10 maximum. AbstractWe have investigated molecular dimers with different electronic coupling strengths by bulk and single molecule spectroscopy. In one of the dimers the two monomers (perylene-monoimide) are directly connected via a single bond while in the other one they are separated by the benzil motif. The close proximity of the monomers in the first case gives rise to excitonic band splitting which is clearly observable in the bulk absorption spectra. For the benzil structure the electronic interactions are governed by F .orster-type energy hopping between the monomers. Fluorescence intensity trajectories at the single molecule level show one-step and two-step bleaching behaviour which appears to be very similar for both dimers. However, emission spectra recorded simultaneously with the trajectories indicate spectral changes which allow to distinguish between weakly and strongly coupled dimers. In the latter case the spectral shape changes significantly when excitonic coupling has been lifted because of photochemical transformation of one of the monomers. r

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Section: Introductionmentioning

confidence: 99%

Investigation of molecular dimers by ensemble and single molecule spectroscopy

Christ

Petzke

Bordat

et al. 2002

Journal of Luminescence

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“…88 An excitation of the donor, or in our case the ERD, can be transferred nonradiatively through the field to the acceptor, or SD, if there is overlap between the emission spectrum of the donor and the absorption spectrum of the acceptor. Efficient energy transfer over 3-8 nm can be achieved with a strong spectral overlap and high donor emission efficiencies, for an isotropic alignment between individual chromophores in solution.…”

Section: 81mentioning

confidence: 99%

Panchromatic engineering for dye-sensitized solar cells

Yum

Baranoff

Wenger

et al. 2011

Energy Environ. Sci.

327

224

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The dye-sensitized mesoscopic solar cell has been intensively investigated as a promising photovoltaic cell. Its ecological and economical fabrication processes make it attractive and credible alternative to conventional photovoltaic systems. In contrast to the latter design, the DSC approach separates tasks of light absorption and charge transport. The primary step of light absorption is performed by a sensitizer anchored to the surface of a wide band gap semiconductor. In order to reach a high conversion efficiency, the first requirement is that the sensitizer should absorb as much as possible of the incoming sunlight. Strategies for achieving panchromatic response in dye-sensitized mesoscopic solar cells are discussed.

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“…For other inequalities and estimates involving the weights in Gauss-type quadrature formulae associated with the classical weight functions of Jacobi, Laguerre and Hermite we refer the reader to [3,5,9]. Note that all these papers make use of the Sonin approach, which is not applicable if the associated orthogonal polynomials do not satisfy a second-order differential equation.…”

Section: Article In Pressmentioning

confidence: 99%