Cyclodextrins (CDs) are cyclic oligomers of glucose having the toroid of sugars elaborating a central cavity of varying size depending on the number of glucoses. The central hydrophobic cavity of CD shows a binding affinity toward different guest molecules, which include small substituted benzenes to long chain surfactant molecules leading to a variety of inclusion complexes when the size and shape complementarity of host and guest are compatible. Further, interaction of guest molecules with the outer surface of alpha-CD has also been observed. Primarily it is the electrostatic interactions that essentially constitute a driving force for the formation of inclusion complexes. To gain insights for these interactions, the electronic structure and the molecular electrostatic potentials in alpha-, beta-, and gamma-CDs are derived using the hybrid density functional theory employing the three-parameter exchange correlation functional due to Becke, Lee, Yang, and Parr (B3LYP). The present work demonstrates how the topography of the molecular electrostatic potential (MESP) provides a measure of the cavity dimensions and understanding of the hydrogen-bonded interactions involving primary and secondary hydroxyl groups. In alpha-CD, hydrogen-bonded interactions between primary -OH groups engender a "cone-like" structure, while in beta- or gamma-CD the interactions from the primary -OH with ether oxygen in glucose ring facilitates a "barrel-like" structure. Further, the strength of hydrogen-bonded interactions of primary -OH groups follows the rank order alpha-CD > beta-CD > gamma-CD, while the secondary hydrogen-bonded interactions exhibit a reverse trend. Thus weak hydrogen-bonded interactions prevalent in gamma-CD manifest in shallow MESP minima near hydroxyl oxygens compared to those in alpha- or beta-CD. Furthermore, electrostatic potential topography reveals that the guest molecule tends to penetrate inside the cavity forming the inclusion complex in beta- or gamma-CD.
An extensive molecular modeling study was carried out on the doubly protonated cyclic decapeptide Gramicidin S following several recent gas-phase experiments. Our computational strategy includes replica-exchange molecular dynamics simulations with the new generation force field AMOEBA for exploration and density functional calculations using several functionals for refinement of structures and computation of IR spectra. This procedure yields low-energy structures of which three are proposed to correspond to the three conformers detected in low-temperature IR experiments. The most stable structure has C(2) symmetry and four strong β-sheet interactions between Orn and Val residues. Furthermore, all the other peptidic N-H bonds are involved in seven-membered C(7) motifs. The computed IR spectra of the three conformers are in good agreement with the experimental ones in the 1400-2000 cm(-1) range. In the 3000-3600 cm(-1) region, the computed spectrum is also in good agreement with experiment for the main conformer, and predictions are made of structure-specific signatures for the other two conformers. The accuracy of several density functionals is discussed in detail. These results point out that efficient potential energy surface explorations coupled to appropriate density functional theory (DFT) calculations are able to reveal the structures of molecules as large and flexible as decapeptides.
Hydrogen-bonded interactions in alpha-, beta-, and gamma-CD conformers are investigated from the molecular electron density topography and chemical shift in the nuclear magnetic resonance (NMR) spectra calculated by using the Gauge Invariant Atomic Orbital (GIAO) method within the framework of density functional theory. For the lowest-energy CD conformers in the gas phase, the O3-H...O2' hydrogen-bonding interactions are present. Calculated 1H NMR chemical shifts (delta H) correlate well with the hydrogen-bond distance as well as electron density at the bond critical point in the molecular electron density (MED) topography. The conformers of beta- and gamma-CD comprised of relatively strong secondary hydroxyl interactions are stabilized by solvation from polar solvents.
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