Davydov coupling Fermi resonances

Consequently, the Hamiltonian of the dimer that involves Davydov coupling, Fermi resonances between the g excited state of the fast mode and the g first harmonics of the bending mode, together with the damping of is... 

The aim of this appendix is to show that the g ACF (304) involving Davydov coupling, Fermi resonances, and damping, may be viewed, after some simplifications, as formally equivalent to that used by Marechal [83] in his peeling-off approach of Fermi resonances. 

Chamma, D., and O. Henri-Roussean. 1999. IR theory of weak H-bonds Davydov coupling, Fermi resonances and direct relaxations. I. Basis equations within the linear... 

B. Dimer Involving Damping, Davydov Coupling, and Fermi Resonances... 

This section now deals with H-bonded species, where together with the strong anharmonic coupling and the quantum indirect damping, Davydov coupling and Fermi resonances may occur, that is, centrosymmetric H-bonded cyclic dimers the theory of which, for situations without damping,was first performed by Marechal and Witkowski [18]. 

Figure 19. Davydov coupling and 1 Fermi resonance, for centrosymmetric cyclic dimer within the strong anharmonic coupling theory. (The subscripts 1 and 2 refer, respectively, to the a and b moieties of the centrosymmetric cyclic dimer).

In the presence of Davydov coupling and Fermi resonances, the ACF of the dipole moment operator of the fast mode involving both direct and indirect dampings and also damping of the bending modes, has the same structure as Eq. (272), that is,... 

The ACF involving Davydov coupling, without Fermi resonance and without direct and indirect dampings. 

The ACF involving Davydov coupling without Fermi resonance, involving direct damping but without indirect damping. 

P-Dav( )] without Fermi resonance and indirect damping. The SD involving Davydov coupling and direct and indirect dampings, but without Fermi resonance. 

Hamiltonian involving Fermi resonance and Davydov coupling. 

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