2022
DOI: 10.1021/acs.jpca.2c05792
|View full text |Cite
|
Sign up to set email alerts
|

Exploring Expansions of the Potential and Dipole Surfaces Used for Vibrational Perturbation Theory

Abstract: A scheme for evaluating expansions of the potential and dipole moment surfaces for vibrational perturbation theory is described. The approach is based on numerical differentiation of the Hessian in the coordinates of interest. It is shown that performing these calculations in internal coordinates generates expansions that are transferable among isotopologues of the molecule of interest. Additionally, re-expressing the expansion of the potential in terms of functions of the internal coordinates, for example, co… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2
1

Citation Types

0
8
0

Year Published

2024
2024
2024
2024

Publication Types

Select...
5
1

Relationship

2
4

Authors

Journals

citations
Cited by 11 publications
(8 citation statements)
references
References 41 publications
0
8
0
Order By: Relevance
“…From a computational point of view, clusters are small enough to be accessible with accurate electronic structure methods. They also might allow an explicit treatment of anharmonic effects, multibody interactions, and quantum nuclear effects ,, without recourse to methods that make uncontrolled approximations, like path-integral molecular dynamics.…”
Section: Introductionmentioning
confidence: 99%
“…From a computational point of view, clusters are small enough to be accessible with accurate electronic structure methods. They also might allow an explicit treatment of anharmonic effects, multibody interactions, and quantum nuclear effects ,, without recourse to methods that make uncontrolled approximations, like path-integral molecular dynamics.…”
Section: Introductionmentioning
confidence: 99%
“…As implemented in the Gaussian program package, these expansions are obtained by displacing the equilibrium geometry of the complex of interest along each of the normal mode coordinates. This information allows for the evaluation of the third and fourth derivatives of the potential as well as second and third derivatives of the dipole surface using finite difference schemes. …”
Section: Methodsmentioning
confidence: 99%
“…As described in the Supporting Information, we believe that the origin of the large intensities of symmetry-forbidden transitions predicted by the VPT2 calculations most likely reflects numerical instabilities in the evaluation of the fourth derivatives of the potential, particularly for out-of-plane vibrations. These derivatives are obtained through finite difference schemes where the fourth derivatives are obtained by numerical evaluation of the elements of the Hessian in terms of the normal mode coordinates. Analysis of the quartic contributions shows that there are a number of such terms, which couple states of different symmetries and have values that approach several cm –1 . While these terms will have a negligible effect on the energies, they will contribute to the second-order correction to the wave functions and, through this, lead to the problematic intensities that are noted above (see Supporting Information).…”
Section: Methodsmentioning
confidence: 99%