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Direct transitions between levels split by l-type doubling have been observed for J=9,10,and 11 in HCN and for J=10,11,and 12 in DCN. The l-type doubling coefficient calculated from the observed line frequencies shows a slight decrease with increasing J for both molecules. While the observed values of the l-type doubling coefficient q are in good agreement with those calculated theoretically, the slight variation of q with J was not expected. This variation of q with increasing J involves a negative term in q proportional to $J(J+1)$ and may therefore be related to the effects involved in centrifugal stretching of the rotating molecule.
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Weatherly et al. (1952) studied this question.
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