Title

Analytic Functions Fit to Proton Transfer Potentials

Document Type

Article

Journal/Book Title

Journal of Molecular Structure

Publication Date

7-1992

Publisher

Elsevier

Volume

270

First Page

173

Last Page

185

DOI

10.1016/0022-2860(92)85026-D

Abstract

Proton transfer potentials are traced out in (H2OH2OH+OH2OH2) and (H3NH3NH+NH3NH3) by ab initio computations for a series of different H-bond lengths. Attempts are then made to fit these quantum mechanical results by various forms of analytic functions. Best results are achieved by a pair of Morse functions with correlation coefficients in excess of 0.997. The numerical values of the Morse parameters are fairly insensitive to H-bond length, allowing their use in more general situations. The Φ4 function and its related fourth-order polynomial also fit well, but the parameters are much more sensitive to H-bond length. Gaussian-type functions or a Lippincott—Schroeder potential do not fit as well and a sinusoidal function gives rather poor agreement with the quantum mechanical results.

Comments

http://www.sciencedirect.com/science/article/pii/002228609285026D

Publisher PDF is available for download through the link above.

Published by Elsevier in Journal of Molecular Structure.

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