The Rennerâ€“Teller effect or Renner effect is an effect due to rovibronic coupling on the electronic spectra of three- (or more) atomic linear molecules in degenerate electronic (Î , Î”, ..., etc.) states.
In its original formulation, the Rennerâ€“Teller effect was a vibronic coupling between the motions of the electrons and the nuclear vibrations in triatomic linear molecules. The article by Renner (1934) was the first that considered dynamic effects that go beyond the Bornâ€“Oppenheimer approximation, in which the nuclear and electronic motions in a molecule are uncoupled. This is a good approximation when the electronic energies are well separated. However, in linear molecules many of the electronic states are two-fold degenerate due to Câˆžv or Dâˆžh symmetry, and the Bornâ€“Oppenheimer approximation breaks down. Since the best-known linear triatomic molecule (CO2) is electronically non-degenerate in its ground state, Renner chose the electronically excited two-fold degenerate Î -state of this well-known molecule as a model for his studies. The products of purely electronic and purely nuclear vibrational states served as the zeroth-order (no vibronic coupling) wave functions in Renner's study. The vibronic coupling acts as a perturbation.
Because Renner is the only author of the 1934 paper that first described the effect, it was long called the Renner effect. However, as Herzberg's prestigious books refer to it as the Rennerâ€“Teller effect (after Edward Teller), it is now more common to use both names.
While Renner's theoretical study concerned the linear triatomic molecule CO2, the first actual observation of the Rennerâ€“Teller effect was in the electronic absorption spectrum of NH2 and its isotopologue ND2. In 1959 Dressler and Ramsay found that the first electronically excited states of these triatomic molecules have a linear geometry and they observed in these excited states an unusual type of vibronic structure: the Rennerâ€“Teller effect.
Much has been published about the Rennerâ€“Teller effect after its first experimental observation in 1959. At present, authors referring to it have usually broader physical phenomena and molecules larger than three-atoms in mind. Usually one considers now effects not only due to the coupling of electrons with vibrations, but also electronic couplings with rotations (rovibronic coupling). wikipedia - Renner-Teller effect
9.30 - Eighteen Attributes of a Wave 12.11 - Eighteen Attributes or Dimensions Angular Momentum coupling Eighteen Attributes or Dimensions magnetic moment Quantum coupling Rotational-vibrational coupling rovibronic coupling spin-orbit coupling spintronics