Energy migration coefficient

In which D is the relative molecular diffusion coefficient of the donor and acceptor, A is the donor excitation energy migration coefficient, and Tq Is the donor luminescence decay time. If r R°, the molecules remain stationary during transfer, and Forster kinetics will be appropriate. When r >> R°, Stern-Volmer kinetics apply. For intermediate cases two theories, due to Voltz et al. (33) and Yokota and Tanlmoto (34), have been developed. 

This is related by elementary diffusion theory to the migration coefficient A and the root-mean-square energy-displacement a according to... 

By varying the temperature at which the experiments were conducted and the distance between the activator and the sensor, the data were obtained (Fig. 4.17) which allowed us to calculate the activation energy of migration of hydrogen adatoms (protium and deuterium) along the carrier surface and coefficients of lateral diffusion of hydrogen atoms appearing due to the spillover effect (see Table 4.2). 

Migrating particle System Activation energy for migration, kj/mol Coefficient of surface diffusion at 345 K, m /s... 

Let us now consider the crystal MO. If the diffusion takes place by migration of cationic vacancies, the number of atoms that undergo the process depends on the vacancy concentration [Vm] and the thermal state of single atoms M (the jump takes place only whenever atom M in the neighborhood of the vacancy has sufficient energy to perform it). The diffusion coefficient associated with the vacancy migration process is given by... 

Not only does anion-1 differ from the molecular anions of acetonitrile in its absorption properties, but its dynamic properties are also anomalous. While anion-2 has normal mobility, anion-1 is a high-mobility anion whose room temperature diffusion coefficient is more than three times higher than that of solute ions and anion-2 [30]. The activation energy for this migration is just 3.2 kJ/mol while the value for normal ions (including anion-2) is 7.6 kJ/mol [30]. Electron-transfer reactions that involve anion-1... 

K and <0 being constants. The reaction constant k was shown to be proportional to the surface diffusion coefficient, so the activation energy for migration was computed from the temperature coefficient of k, i.e.,... 

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