Difference between revisions of "Förster Resonance Energy Transfer"
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The MS shall be described by singly excited electronic states which may constitute Frenkel-like excitons. Those are the correct excitations if wave function overlap and thus electron exchange between different molecules are of minor effect. The related standard Hamiltonian reads | The MS shall be described by singly excited electronic states which may constitute Frenkel-like excitons. Those are the correct excitations if wave function overlap and thus electron exchange between different molecules are of minor effect. The related standard Hamiltonian reads | ||
| − | \label{h-fx} | + | <math>\label{h-fx} |
H_{\rm FX} = \sum_{m} E_m \ket{\phi_m}\bra{\phi_m} | H_{\rm FX} = \sum_{m} E_m \ket{\phi_m}\bra{\phi_m} | ||
| − | + \sum_{m \neq n} J_{m n} \ket{\phi_m}\bra{\phi_n} \; . | + | + \sum_{m \neq n} J_{m n} \ket{\phi_m}\bra{\phi_n} \; .</math> |
| − | It includes the molecular excitation energies (site energies) <math>E_{m}</math> where <math>m</math> labels the individual molecule and the EET (excitonic) coupling < | + | It includes the molecular excitation energies (site energies) <math>E_{m}</math> where <math>m</math> labels the individual molecule and the EET (excitonic) coupling <math>J_{m n}</math>. |
Revision as of 08:54, 28 December 2018
The MS shall be described by singly excited electronic states which may constitute Frenkel-like excitons. Those are the correct excitations if wave function overlap and thus electron exchange between different molecules are of minor effect. The related standard Hamiltonian reads [math]\label{h-fx} H_{\rm FX} = \sum_{m} E_m \ket{\phi_m}\bra{\phi_m} + \sum_{m \neq n} J_{m n} \ket{\phi_m}\bra{\phi_n} \; .[/math] It includes the molecular excitation energies (site energies) [math]E_{m}[/math] where [math]m[/math] labels the individual molecule and the EET (excitonic) coupling [math]J_{m n}[/math].
