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On the separability of large-amplitude motions in anharmonic frequency calculations
Ist Teil von
Physical chemistry chemical physics : PCCP, 2020-09, Vol.22 (36), p.2588-261
Ort / Verlag
Cambridge: Royal Society of Chemistry
Erscheinungsjahr
2020
Link zum Volltext
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
Nuclear vibrational theories based upon the Watson Hamiltonian are ubiquitous in quantum chemistry, but are generally unable to model systems in which the wavefunction can delocalise over multiple energy minima,
i.e.
molecules that have low-energy torsion and inversion barriers. In a 2019 Chemical Reviews article, Puzzarini
et al.
note that a common workaround is to simply decouple these problematic modes from all other vibrations in the system during anharmonic frequency calculations. They also point out that this approximation can be "ill-suited", but do not quantify the errors introduced. In this work, we present the first systematic investigation into how separating out or constraining torsion and inversion vibrations within potential energy surface (PES) expansions affects the accuracy of computed fundamental wavenumbers for the remaining vibrational modes, using a test set of 19 tetratomic molecules for which high quality analytic potential energy surfaces and fully-coupled anharmonic reference fundamental frequencies are available. We find that the most effective and efficient strategy is to remove the mode in question from the PES expansion entirely. This introduces errors of up to +10 cm
−1
in stretching fundamentals that would otherwise couple to the dropped mode, and ±5 cm
−1
in all other fundamentals. These errors are approximately commensurate with, but not necessarily additional to, errors due to the choice of electronic structure model used in constructing spectroscopically accurate PES.
Nuclear vibrational theories based upon the Watson Hamiltonian are ubiquitous in quantum chemistry, but cannot model molecules with delocalised large-amplitude vibrations. Dropping these is an efficient and effective way of circumventing the problem.