费密共振和甲烷的振动能谱

FERMI RESONANCES AND VIBRATIONAL SPECTRUM FOR METHANE

用局域模模型来解释甲烷的伸展和弯曲振动能谱，其中伸展振动和弯曲振动间的相互作用用费密共振项来描写，它由一个伸展振子的玻色产生（或湮没）算子和两个弯曲振子的玻色湮没（或产生）算子乘积的Ｔｄ不变组合构成．这模型包含１０个参数，与已发表的甲烷振动能谱的实验数据比较，得到能量的方均根偏差为１２３８ｃｍ－１．

The boson realization model with Fermi resonances is used for explaining both stretching and bending vibrational spectra in methane. The interactions between stretching and bending vibrations are described by T d symmetric Fermi resonance terms that couple one creation (or annihilation) operator of stretching vibrations with two annihilation (or creation) operators of bending ones. This model provides a ten parameter fit to the published experimental vibrational eigenvalues of methane with the root mean square energy deviation 12 38cm -1 .