Local Bond-Stretch Coordinates for Anharmonic Vibrational Computations
Sebastian Riis Thomsen1, Nicolai Machholdt Høyer1, Mads Greisen Højlund1
1Department of Chemistry, University of Aarhus, Aarhus C DK-8000, Denmark.
Abstract:
The local bond-stretch (LBS) method is presented as a means of obtaining a set of localized, rectilinear vibrational modes. Three variants of the LBS method are considered: pure LBS, projected LBS (pLBS), and orthogonal, projected LBS (opLBS). These variants feature different degrees of localization and different coupling terms in the kinetic energy operator, such that the most localized method (LBS) has the largest number and magnitude of coupling terms, and the least localized (opLBS) has the least coupling terms. The different LBS variants are exemplified in computations on overtone vibrational spectra of water, nitroxyl (chemical formula HNO), formaldehyde, and 1,3-butadiene computed with a vibrational coupled cluster band Lanczos approach. These spectra are calculated using potential energy surfaces (PESs) obtained with the adaptive density-guided approach (ADGA). We observe faster convergence with respect to the coupling level in the PES when using the LBS variants compared to normal coordinates. Among the LBS variants, pLBS and opLBS appear most promising.
Related Concept Videos
IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration
According to Hooke's law, the vibrational frequency is directly proportional to...
IR Spectroscopy: Molecular Vibration Overview
Stretching vibrations are vibrational motions that occur along the bond line, changing the bond length or distance between two bonded atoms. They are further distinguished as symmetric or asymmetric. In symmetric stretching, the...
IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations
Bond Energies and Bond Lengths
IR Frequency Region: Alkyne and Nitrile Stretching
Comparing the stretching vibrational frequency of C≡C triple bonds with that of double and single bonds, it is evident that C≡C triple bonds exhibit a higher stretching frequency than C=C double and C–C single bonds. Similarly, the C≡N triple bond...
¹H NMR: Long-Range Coupling
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene...


