By Benjamin Fain (auth.)
A wide selection of vital actual and chemical phenomena can be named by way of an identical name: cost methods in condensed media. they've got a similar underlying physics and arithmetic. to those phenomena belong: 1) Small polaron movement [a] 2) Electron move among ions in recommendations [b] and in photosynthetic facilities [c]. three) digital power move among molecules or ions in solids and in beverages [d]. four) Enzymatic catalysis [e] five) staff move in organic platforms [fl. 6) Electron-hole recombination in semiconductors [g]. 7) Non-radiative digital leisure in ionic facilities Ih] and in impurity states in insulators [i]. eight) Recombination in amorphous solids [j]. nine) Radiationless transitions in huge molecules [k]. at this time a unified theoretical and conceptual framework exists for description and knowing of some of these different phenomena. Our goal in scripting this paintings is to introduce the scholar and the learn employee in chemical physics to the most features of the conceptual framework of price tactics in condensed media. There exists an intensive literature dedicated to a number of expense approaches in condensed media. between contemporary works, the books of Levine and Jortner [1], Fong [m] and Ulstrup [n] will be pointed out. The life of this literature allows us to be aware of the key theoretical facets, omitting description and presentation of experimental info. We attempted to make our paintings self-contained. just about all the knowledge valuable for studying the e-book is incorporated. References utilized in the paintings under no circumstances disguise the literature at the subject.
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The two-molecule system in this 0 v V ~ ~ 0 0 E = E, Fig. 8. 0 E = E2 Energy levels of two molecules coupled by the interaction energy V. case may be in two possible states. 53 In state I, the first molecule is in the excited state and the second molecule is in the ground state. In state 2, the second molecule is in the excited and the first molecule is in the ground state. e. with a two-state system. 40). 60) In particular, the interaction energy V may coincide with that of dipole-dipole interaction between the molecules.
We will neglect transitions between energy levels of each molecule and take into account only the energy transfer process between these molecules caused by the intermolecular interaction V (see Fig. 8). The two-molecule system in this 0 v V ~ ~ 0 0 E = E, Fig. 8. 0 E = E2 Energy levels of two molecules coupled by the interaction energy V. case may be in two possible states. 53 In state I, the first molecule is in the excited state and the second molecule is in the ground state. In state 2, the second molecule is in the excited and the first molecule is in the ground state.
Found in semiclassical approximation. an the energy Eo' corresponding 43 to the point of intersection of these two curves Ul and U2 (see Fig. 5). u Fig. 5. Two intersecting potential energy waves U and U2 ; El and E2 are the energy levels corres~onding nto these potentials. E - the energy level corresponding £0 the intersection point qo Transition with energies E < Eo correspond to penetration through classically inaccessable regions and their probabilities are much smaller than those with energies E > Eo' In the semiclassical approximation (see Fig.