Radiationless Transitions: A Semiclassical Model

摘要: Radiationless transitions of a solute molecule embedded in crystalline solvent are treated close analogy to radiative transitions. A semiclassical interaction Hamiltonian employing empirically determined coupling constants connects particles force field amplitude set up by the phonons solvent. By relating this phonon energy density an Einstein B coefficient is derived. Debye's formula for combined with thermodynamic arguments yield coefficients. It shown that theory (1) explains fast rates radiationless transitions, (2) provides temperature dependence, (3) has cutoff frequency transition, (4) Franck—Condon principle, and (5) lack selection rules. value derived empirical constants.