By Pedro Ludwig Hernández Martínez, Alexander Govorov, Hilmi Volkan Demir
This short offers a whole examine of the generalized idea of Förster-type power move in nanostructures with combined dimensionality. the following the purpose is to acquire a generalized thought of worry together with a entire set of analytical equations for all mixtures and configurations of nanostructures and deriving standard expressions for the dimensionality concerned. during this short, the amendment of be troubled mechanism with recognize to the nanostructure serving because the donor vs. the acceptor might be incorporated, targeting the rate’s distance dependency and the position of the powerful dielectric functionality in agonize, in an effort to be a different, worthy resource if you happen to learn and version FRET.
Read or Download Understanding and Modeling Förster-type Resonance Energy Transfer (FRET): FRET from Single Donor to Single Acceptor and Assemblies of Acceptors, Vol. 2 PDF
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This short provides an entire research of the generalized idea of Förster-type power move in nanostructures with combined dimensionality. the following the purpose is to acquire a generalized thought of be concerned together with a finished set of analytical equations for all combos and configurations of nanostructures and deriving primary expressions for the dimensionality concerned.
Extra resources for Understanding and Modeling Förster-type Resonance Energy Transfer (FRET): FRET from Single Donor to Single Acceptor and Assemblies of Acceptors, Vol. 2
O. Govorov, Exciton energy transfer between nanoparticles and nanowires. Phys. Rev. B 78, 035314/1–035314/7 (2008) 3. M. A. Wolf, Waves and interactions in solid state plasma (Academic Press, New York, 1973) 4. O. Govorov, J. A. Kotov, Theory of plasmon-enhanced Förster energy transfer in optically excited semiconductor and metal nanoparticles. Phys. Rev. B 76, 125308/1– 125308/16 (2007) 5. L. O. V. Demir, Generalized theory of Förster-Type nonradiative energy transfer in nanostructures with mixed dimensionality.
NP, NW, QW → 1D NP Assembly 2 2 edexc 2 3pR3NPA kNP 3e0 5 ImjeNP ðxÞj c a ¼ ba ð cD Þ A 5 h eeffD 8 d eNPA ðxÞ þ 2e0 ð3:8Þ À ÁÀ1=2 for a cD ¼ 1; cosðh0 Þ for NP and QW, respectively, and 1 þ tan2 h0 sin2 a NW. 9. NP, NW, QW → 2D NP Assembly 2 2 edexc 2 pR3NPA rNP 3e0 ImjeNP ðxÞj ca ¼ b a A h eeffD 2 d 4 eNPA ðxÞ þ 2e0 ð3:12Þ 10. NP, NW, QW → 3D NP Assembly 2 2 edexc 2 pR3NPA qNP 3e0 ImjeNP ðxÞj ca ¼ b a A 3 h eeffD 6 d eNPA ðxÞ þ 2e0 ð3:16Þ 11.
2 (Ref. ) are used to derive expressions for the assembly cases. 1 Energy Transfer Rates for Nanoparticle, Nanowire, or Quantum Well to 1D Nanoparticle Assembly The FRET rate analytical equations are derived in the long distance approximation, when the donor is an NP, an NW, or a QW while the acceptor is a 1D NP assembly (linear chain) (Fig. 1). 1; e0 is the medium dielectric constant; RNPA and eNPA are the acceptor NP radius and dielectric function, respectively; and r is the distance between the donor and linear NP chain (Fig.