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In this paper, the quantum energy levels and the level splitting of the first and the second exicited states generated by the stretching vibration of CH and CD bonds in normal benzene C(6)H(6) (vapour and liquid) and deuterated benzene C(6)D(6) (vapour and liquid) have been studied in detail by new non-linear quantum mechanical theory in weak disperse limit. The distribution of energy levels of benzene molecules has been also obtained, and is consistent with experimental data.

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