Tunnel splitting frequency

Band assignment Vibration frequency [cm- ] Tunneling splitting [cm ] ... 

A major role is played by vibrations with frequencies 318cm and 1378cm . The tunneling splitting increases by several times as the quantum numbers of these vibrations increase. The... 

Normal Frequencies in (cm ) and Corresponding Tunneling Splitting for the First Excited States of Vinyl Radical" ... 

Figure 7.6. Universal correlation between 7mm and tunneling splitting. The Zeeman frequency is 21 MHz. The points correspond to different chemical species. (From Clough et al. [1982].)...

The discussion of Section 2.3, which is concerned with the destruction of coherence by interaction with the environment, applies to this case. As in the case of tunneling in a double well, A(f) 2 can be represented as a product of the attempt frequency of hitting the turning point and the barrier transparency (see Section 3.4). The tunneling splitting is determined by the same parameters and contains only an additional prefactor 3/2 because of the symmetry. 

From (9.7) and (9.8) it follows that at = c, low-frequency TLS s appear with zero-point amplitude Sc — S()(D/hajn)U6. Since the tunneling splitting varies exponentially with the barrier height, as in Eq. (9.3), even a narrow distribution of R values near the critical value c results in creation of a continuous spectrum of tunneling states. 

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