Knowledge Bank

Using a Hamiltonian H taking into account Fermi resonance ($\omega 1\simeq 2\omega 2$) and Coriolis resonances ($\omega 1\simeq \omega 3,2\omega 2\simeq \omega 3$) we have been able to perform good fits of experimental results for the 2 triads of interacting states: $$I\left{\begin{array}{l}(020) = 3151.630 \mbox{cm}^{-1}\(100) = 3657.054\mbox{ cm}^{-1}\(001) = 3755.930\mbox{ cm}^{-1}\\end{array}\right.\mbox{ and }{II}\left{\begin{array}{l}(030) = 4666.794 \mbox{ cm}^{-1}\(110) = 5234.977 \mbox{ cm}^{-1}\(011) = 5331.269 \mbox{ cm}^{-1}\\end{array}\right.$$ The v-diagonal part of H is a Watson-type Hamiltonian. The most important interaction terms are $q1q2,q1q3(JxJz+JzJx)$ and $q2q3(JxJz+JzJx)$. A comparison of the results for the triads I and II is given.