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Raman Optical Activity of a Purely σ‐Bonded Helical Chromophore: (−)‐(M)‐σ‐[4]Helicene
Authors:Werner Hug  Grard Zuber  Armin de&#x;Meijere  Alexander&#x;F Khlebnikov  Hans‐Jürgen Hansen
Abstract:The recent synthesis of enantiomerically pure (−)‐(M)‐σ‐4]helicene has provided an archetype helical model system for vibrational optical activity, comparable to what π‐helicenes represent in the field of electronic optical activity. We present the first measurements and the first calculations of the Raman optical activity (ROA) of this interesting molecule. Observed and calculated ROA is large throughout the vibrational spectrum, in agreement with expectations, and spectacular effects, with Δ values close to 0.5%, occur in the 900‐cm−1 region. Agreement between the experimental spectrum and the theoretical one, calculated with density‐functional theory for the vibrational part and Hartree‐Fock linear response theory for the molecular electronic tensors, is excellent, clearly the best that has been achieved to date in the field. This allows us to place confidence in the results of an analysis of Raman and ROA scattering generation in the molecule, obtained by a newly developed graphical procedure for extracting this kind of information from ab initio calculations. One finds that relative contributions made by carbon and hydrogen atoms can be comparable in size, but can also vary considerably, even between closely lying vibrations, and that, for most vibrations, the generation of ROA difference intensity is distributed rather differently than that of Raman intensity over the shape of the molecule. The sign of the ROA is, for the set of vibrations in the 900‐cm−1 region, which we analyze in detail, determined by coupling terms between the two halves of the molecule, while Raman intensity is primarily generated within the two fragments, with coupling terms between them only adding to or substracting from it.
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