The notions of isotopomer and isotopologue were used inconsistently throughout the paper.1 The correct use of these concepts is clarified here. Consider ozone molecules substituted with rare isotope 18O. In this case, one could define symmetric and asymmetric isotopomers for singly and doubly substituted isotopologues, as summarized in Table I:

TABLE I.

Definitions of isotopomers and isotopologues in ozone.

Isotopologues Symmetric isotopomers Asymmetric isotopomers
Singly-substituted  16O18O16 16O16O18O, 18O16O16
Doubly-substituted  18O16O18 18O18O16O, 16O18O18
Isotopologues Symmetric isotopomers Asymmetric isotopomers
Singly-substituted  16O18O16 16O16O18O, 18O16O16
Doubly-substituted  18O16O18 18O18O16O, 16O18O18

Indeed, different isotopomers are isotopic isomers that can be found in different parts of the global potential energy landscape. The rotational-vibrational states of both symmetric and asymmetric isotopomers of the same isotopologue are computed at once. Namely, if the global potential energy surface is used, the states of 16O18O16O, 16O16O18O, and 18O16O16O (all isotopomers of singly-substituted isotopologue) are computed all together in one run. The states of 18O16O18O, 18O18O16O, and 16O18O18O are computed in the second run but also together (all isotopomers of doubly-substituted isotopologue).

The definitions of isotopomer and isotopologue can be found in Ref. 2.

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Glossary of terms used in theoretical organic chemistry
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