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Vase ‐ Kite Equilibrium of Resorcin[4]arene Cavitands Investigated Using Molecular Dynamics Simulations with Ball‐and‐Stick Local Elevation Umbrella Sampling
Author(s) -
Hahn David F.,
Milić Jovana V.,
Hünenberger Philippe H.
Publication year - 2019
Publication title -
helvetica chimica acta
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.74
H-Index - 82
eISSN - 1522-2675
pISSN - 0018-019X
DOI - 10.1002/hlca.201900060
Subject(s) - chemistry , umbrella sampling , kite , molecular dynamics , intramolecular force , computational chemistry , stereochemistry , crystallography , geometry , mathematics
A key feature of resorcin[4]arene cavitands is their ability to switch between a closed/contracted ( Vase ) and an open/expanded ( Kite ) conformation. The mechanism and dynamics of this interconversion remains, however, elusive. In the present study, the Vase ‐ Kite transitions of a quinoxaline‐based and of a dinitrobenzene‐based resorcin[4]arene are investigated using molecular dynamics (MD) simulations in three environments (vacuum, chloroform, and toluene) and at three temperatures (198.15, 248.15, and 298.15 K). The challenge of sampling the Vase ‐ Kite transition, which occurs experimentally on the millisecond time scale, is overcome by calculating relative free energies using ball‐and stick local elevation umbrella sampling (B&S‐LEUS) to enhance the statistics on the relevant states and to promote interconversion transitions. Associated unbiased MD simulations also evidence for the first time a complete Vase ‐to‐ Kite transition, as well as transitions between degenerate Kite 1 and Kite 2 forms and solvent‐exchange events. The calculated Vase ‐to‐ Kite free‐energy changes Δ G are in qualitative agreement with the experimental magnitudes and trends. The level of quantitative agreement is, however, limited by the force‐field accuracy and, in particular, by the approximate treatment of intramolecular interactions at the classical level. The results are in line with a less stable Vase state for the dinitrobenzene compared to the quinoxaline compound, and a negative entropy change Δ S for the Vase ‐to‐ Kite transition of the latter compound. Relative free energies calculated for intermediates also suggest that the Vase ‐ Kite transition does not follow a concerted mechanism, but an asynchronous one with sequential opening of the flaps. In particular, the conformation involving two adjacent flaps open in a parallel direction ( cis‐p ) represents a likely intermediate, which has not been observed experimentally to date.

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