## Abstract We describe the implementation of an adaptive umbrella sampling method, making use of the weighted histogram analysis method, for computing multidimensional potential of mean force for chemical reaction in solution. The approach is illustrated by investigating the effect of aqueous solu
Methodology for the Calculation of the Potential of Mean Force for a Cation–π Complex in Water
✍ Scribed by Aziz Ghoufi; Pierre Archirel; Jean-Pierre Morel; Nicole Morel-Desrosiers; Anne Boutin; Patrice Malfreyt
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 252 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1439-4235
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✦ Synopsis
Abstract
We report potential of mean force (PMF) calculations on the interaction between the p‐sulfonatocalix[4]arene and a monovalent cation (Cs^+^). It has been recently shown from microcalorimetry and ^133^Cs NMR experiments that the association with Cs^+^ is governed by favourable cation–π interactions and is characterized by the insertion of the cation into the cavity of the macrocycle. We show that the PMF calculation based upon a classical model is not able to reproduce both the thermodynamic properties of association and the insertion of the cation. In order to take into account the different contributions of the cation–π interactions, we develop a new methodology consisting of changing the standard PMF by an additional contribution resulting from quantum calculations. The calculated thermodynamic properties of association are thus in line with the microcalorimetry and ^133^Cs NMR experiments and the structure of the complex at the Gibbs free‐energy minimum shows the insertion of the cation into the cavity of the calixarene.
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