Born-Oppenheimer approximation diagrams

A good basis for the qualitative understanding of the Pgl process and its theoretical description is the potential curve model of Pgl, 21 which was developed and applied6-14 prior to the theoretical formulation of Pgl (see Fig. 1). The spontaneous ionization occurring with probability F(Rt)/h at some distances R, is the vertical transition V+(RI)—>V+(RI), as indicated in the diagram. This vertical condition is a consequence of the Born-Oppenheimer approximation and has nothing to do with the approxima-... 

Beam studies have until recently been largely confined to systems in which the dynamics are governed by a single potential surface. The use of classical trajectory studies and adiabatic correlation diagrams in predicting the reaction path are both implicitly founded on the Born-Oppenheimer approximation which allows us to deal with only one electronic state during... 

Figure 7-17 Correlation diagram between separated-atom orbitals and united-atom orbitals for homonuclear diatomic molecules. Energy ordinate and intemuclear separation abscissa are only suggestive. No absolute values are implied by the sketch. [Note For hJ rjg2p correlates with SdcTg, cTgSs with 3soTg. This arises because the separability of the hJ hamiltonian (in the Born-Oppenheimer approximation) leads to an additional quantum number for this molecule. In essence, the hJ wavefunction in elliptical coordinates may be written jr = L X)M (/x), The function L...

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