By Ilya Prigogine, Stuart A. Rice
This useful sequence is dedicated to supporting the reader receive basic information regarding a wide selection of issues in chemical physics, which box the editors interpret very extensively. Their motive is to have specialists current accomplished analyses of matters of curiosity and to inspire the expression of person issues of view.
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Example text
64) is important in the area of a few times w/c around the center K = 0 of the Brillouin zone. Then we may replace t ( K )by t(0)for the investigation of this critical area, since t ( K ) is analytic around the center K = 0. 70). 5 1) of the creation and annihilation operators of molecular states. 75) is simplified if we note that JI acts only in the subspace of wave vectors orthogonal to K:JI is purely transverse. 78) This equation in w2, which is exact if we consider the dependence K of we and of d,, determines all the eigenenergies of the exciton-photon coupled system.
The oscillator strengths of the crystal vibronic states are different from the (F:)’; they appear to have new FranckCondon factors depending on J,. For larger J k > hQ,, E,,, we find the pure electronic state I c p ) and vibronic states with neither oscillator strength nor dispersion. However, we must note that in this case the vibron model is insufficient and that the influence of the two-particle states, describing the exciton scattering on the vibrations, becomes predominant and must be included in the crystal hamiltonian.
4. 54)for the eigenenergies of the system of coupled vibrons. The curve labeled 0-n represents the nth vibronic transition. The oscillator strengths of each state are given by the slopes of the curves. In particular, for J , negative and strong, only the 0-0 vibron (purely electronic) is optically accessible. e-r’]. 51). Indeed, as the operator of the purely electronic electric dipole moment is proportional to B B’, the absorption is proportional to the imaginary part of (41 G,I 4), with k = 0.