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- Title
Calculation of the two-dimensional non-separable partition function for two molecular systems.
- Authors
Simón-Carballido, Luis; Fernández-Ramos, Antonio
- Abstract
We present the application of an accurate quantum treatment, called two-dimensional non-separable (2D-NS), to the calculation of internal rotation partition functions of molecules with two rotors. This methodology involves full coupling in the kinetic and potential energies; the later is written as a Fourier series type potential. The resulting Hamiltonian is introduced in the Schrödinger equation and solved by the variational method. The method was applied to the 2-propenol and to the 3-fluoro-2-propenol molecular systems. The former molecule presents weak coupling between the torsion, whereas the later is an example of strong coupling. The comparison of 2D-NS with one-dimensional accurate models that involve separation of the two torsions, indicate that a separable model is inadequate to study systems in the strong coupling regime. The results indicate that for the case of strong coupling the multi-conformer harmonic approximation gives better results than a separable anharmonic model.
- Subjects
HAMILTONIAN systems; SCHRODINGER equation; MOLECULAR rotation; HARMONIC oscillators; PARTITION functions; ALLYL alcohol; QUANTUM states; MAGNETIC coupling
- Publication
Journal of Molecular Modeling, 2014, Vol 20, Issue 4, p1
- ISSN
1610-2940
- Publication type
Article
- DOI
10.1007/s00894-014-2190-z