### Abstract

In this paper we explore the non-Condon effect of fluctuations of the tunneling matrix element caused by a condensed medium on the rates of nonadiabatic electron transfer (ET) and spontaneous emission from an excited electronic state. For a charge-transfer complex immersed in a polar polarizable liquid, the solvent effect renormalizes the ET matrix element due to (i) the instantaneous field of the solvent nuclear polarization and (ii) equilibrium solvation by the electronic solvent polarization. Fluctuations of the classical electric field of the solvent affect the form of the preexponential factor in the ET rate constant. In the new expression for the rate preexponent the vacuum ET matrix element is multiplied by the factor θ forming an effective ET matrix element in condensed phases. The parameter θ is controlled by the magnitude and orientation (relative to the differential solute dipole) of the diabatic transition dipole of the charge-transfer complex. The theory predicts a possibility of localization of the transferred electron when θ becomes equal to zero. The same treatment is applied to the rate of spontaneous radiative electronic transitions. We find that the product of the transition frequency and the adiabatic transition dipole is invariant in all solvents when (i) the diabatic transition dipole is collinear to the differential solute dipole moment and (ii) the spectral shift due to dispersion solvation is small. Under the same conditions, the adiabatic transition dipole in condensed phases and the effective ET matrix element are related by the Mulliken-Hush equation that becomes exact in our treatment.

Original language | English (US) |
---|---|

Pages (from-to) | 5027-5039 |

Number of pages | 13 |

Journal | Journal of Physical Chemistry A |

Volume | 102 |

Issue number | 26 |

State | Published - Jun 25 1998 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physical and Theoretical Chemistry

### Cite this

*Journal of Physical Chemistry A*,

*102*(26), 5027-5039.

**Spontaneous emission and nonadiabatic electron transfer rates in condensed phases.** / Matyushov, Dmitry; Ladanyi, Branka M.

Research output: Contribution to journal › Article

*Journal of Physical Chemistry A*, vol. 102, no. 26, pp. 5027-5039.

}

TY - JOUR

T1 - Spontaneous emission and nonadiabatic electron transfer rates in condensed phases

AU - Matyushov, Dmitry

AU - Ladanyi, Branka M.

PY - 1998/6/25

Y1 - 1998/6/25

N2 - In this paper we explore the non-Condon effect of fluctuations of the tunneling matrix element caused by a condensed medium on the rates of nonadiabatic electron transfer (ET) and spontaneous emission from an excited electronic state. For a charge-transfer complex immersed in a polar polarizable liquid, the solvent effect renormalizes the ET matrix element due to (i) the instantaneous field of the solvent nuclear polarization and (ii) equilibrium solvation by the electronic solvent polarization. Fluctuations of the classical electric field of the solvent affect the form of the preexponential factor in the ET rate constant. In the new expression for the rate preexponent the vacuum ET matrix element is multiplied by the factor θ forming an effective ET matrix element in condensed phases. The parameter θ is controlled by the magnitude and orientation (relative to the differential solute dipole) of the diabatic transition dipole of the charge-transfer complex. The theory predicts a possibility of localization of the transferred electron when θ becomes equal to zero. The same treatment is applied to the rate of spontaneous radiative electronic transitions. We find that the product of the transition frequency and the adiabatic transition dipole is invariant in all solvents when (i) the diabatic transition dipole is collinear to the differential solute dipole moment and (ii) the spectral shift due to dispersion solvation is small. Under the same conditions, the adiabatic transition dipole in condensed phases and the effective ET matrix element are related by the Mulliken-Hush equation that becomes exact in our treatment.

AB - In this paper we explore the non-Condon effect of fluctuations of the tunneling matrix element caused by a condensed medium on the rates of nonadiabatic electron transfer (ET) and spontaneous emission from an excited electronic state. For a charge-transfer complex immersed in a polar polarizable liquid, the solvent effect renormalizes the ET matrix element due to (i) the instantaneous field of the solvent nuclear polarization and (ii) equilibrium solvation by the electronic solvent polarization. Fluctuations of the classical electric field of the solvent affect the form of the preexponential factor in the ET rate constant. In the new expression for the rate preexponent the vacuum ET matrix element is multiplied by the factor θ forming an effective ET matrix element in condensed phases. The parameter θ is controlled by the magnitude and orientation (relative to the differential solute dipole) of the diabatic transition dipole of the charge-transfer complex. The theory predicts a possibility of localization of the transferred electron when θ becomes equal to zero. The same treatment is applied to the rate of spontaneous radiative electronic transitions. We find that the product of the transition frequency and the adiabatic transition dipole is invariant in all solvents when (i) the diabatic transition dipole is collinear to the differential solute dipole moment and (ii) the spectral shift due to dispersion solvation is small. Under the same conditions, the adiabatic transition dipole in condensed phases and the effective ET matrix element are related by the Mulliken-Hush equation that becomes exact in our treatment.

UR - http://www.scopus.com/inward/record.url?scp=0000883033&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000883033&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0000883033

VL - 102

SP - 5027

EP - 5039

JO - Journal of Physical Chemistry A

JF - Journal of Physical Chemistry A

SN - 1089-5639

IS - 26

ER -