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AbstractWe give a description of the phenyl-ring-localized vibrational modes of the ground states of the paradisubstituted benzene molecules including both symmetric and asymmetric cases. In line with others,we quickly conclude that the use of Wilson mode labels is misleading and ambiguous; we conclude the same regarding the related ones of Varsányi. Instead we label the modes consistently based upon the Mulliken (Herzberg) method for the modes of para-difluorobenzene (pDFB). Since we wish the labelling scheme to cover both symmetrically-and asymmetrically-substituted molecules, we apply the Mulliken labelling under C 2v symmetry. By studying the variation of the vibrational wavenumbers with mass of the substituent, we are able to identify the corresponding modes across a wide range of molecules and hence provide consistent assignments. Particularly interesting are pairs of vibrations that evolve from in-and out-of-phase motions in pDFB to more localized modes in asymmetric molecules. We consider the para isomers of the following: the symmetric dihalobenzenes, xylene, hydroquinone, the asymmetric dihalobenzenes, halotoluenes, halophenols and cresol.Keywords: Frequencies; Ground state; Substituted benzenes.
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I. INTRODUCTIONBecause an understanding of the trends in the vibrational spectroscopy and dynamics of molecules is linked to being able to refer to the same vibrational motions (normal modes) across species, it is desirable to label these in as consistent a manner as possible. In this way, when referring to a labelled vibration in one molecule, one can be sure of talking about the same vibration in a different molecule.Since there are a whole range of substituted benzenes, it has been very common to refer to the phenylring-localized vibrations of any such molecule in terms of the vibrations of the parent benzene molecule via the Wilson labelling scheme [1]. In previous work on the monosubstituted benzenes it has been noted by our group [2] and others [3,4] that in fact the use of the Wilson labelling scheme is fraught with uncertainty owing to the large differences between the forms of the normal modes of benzene and those of the monosubstituted species; this difference occurs even for the substitution of H for D in monodeuterated benzene [2]. This has been recognized by many workers, perhaps most notably Varsányi [5], who attempted to bring consistency to the labelling by proposing Wilson-type labels for a whole range of substituted benzenes; unfortunately, however, this was hampered by incomplete data sets, and there was also inconsistency conce...