Rotational angular momentum coupling with vibrational

In the strong coupling model the angular momentum of the unpaired nucleon processes about the axis of nuclear deformation with a constant projection Q%. The total angular momentum [JU) is compounded of the nucleon angular momentum (jfi) and the rotational angular momentum ( S), and its projection on the axis of symmetry is given by the quantum number K. In the absence of the excitation of vibrational states, rotation is developed only in directions perpendicular to the axis of symmetry and then K=Q. Associated rotational states correspond to a particular value of K ovQ) and different rotational systems are developed on the basis of states with different values of K,... 

These results i.e. the great influence on the dissociation of the pseudo rotation angular momentum 1 about the Hg -N-N axis has also been demonstrated in theoretical calculations by Jouvet and Beswick (i ). The states of the excited Hg N2 complex are represented for the perturbed mercury by I J (= L + S), Q > as II, O" " > and II, 1 > and as 10,0 > for the Pq state. There the coupling between the 0" state ( Pi) and 0 ( Pq) is essentially 0 even through higher mercury states owing to the +, - parity difference. On the other hand, this interdiction is lifted when 1=1 vibrations become excited as we have observed. Nesbitt et al( ) observed the influence of the +, - parity upon the coupling of TT "/" and I" " vibrations in the NeHF predissociation, with similar conclusions. 

The fine structure in purely rotational, rotational-vibrational, and electronic spectra of NH (ND) arises from the interaction of the unpaired electron spin with the orbital angular momentum (spin-orbit coupling constant A for the 11 states), from the interaction of the unpaired electron spins with each other and with the rotational angular momentum (spin-... 

This is, first of all, due to the manifold of rotational and vibrational levels within each electronic state and furthermore to a larger variety of angular momentum coupling, such as spin-rotation interaction, A-type doubling, fine and hyperfine structure. In addition different kinds of perturbations may further increase the line density and the complexity of the spectrum. Even for small molecules, such as diatomic or triatomic molecules, the spacings between rotational lines of an electronic transition may become much smaller than the Doppler-width. This implies that single rotational lines often cannot be resolved with "classical" Doppler-limited techniques. 

The in-1 vibrational frequencies, C0 (s), are obtained from normal-mode analyses at points along the reaction path via diagonalization of a projected force constant matrix that removes the translational, rotational, and reaction coordinate motions. The B coefficients are defined in terms of the normal mode coefficients, with those in the denominator of the last term determining the reaction path curvature, while those in the numerator are related to the non-adiabatic coupling of different vibrational states. A generalization to non-zero total angular momentum is available [59]. 

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