We report J > 0 CH 5 + levels computed by fixing stretch coordinates. They are computed by using a simple product basis, exploiting symmetry, and carefully parallelizing the calculation. The J > 0 CH 5 + levels are compared with those obtained from other theoretical methods and with experimental ground state combination differences of Asvany et al. [Science, 347, 1346 (2015)]. If the assignment of Asvany et al. is correct, there are important differences between the levels we compute and those observed. We propose a different assignment of the experimental levels that reduces the maximum error from 34 to 2 cm−1. The new assignment can only be correct if states of both parities exist in the experiment. Although, ro-vibrational levels of CH 5 + cannot be associated with individual vibrational states, they do occur in blocks separated by gaps.

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