Abstract
Combined low temperature (28(1) K) X-ray and neutron diffraction measurements were carried out on the co-crystallised complex of betaine, imidazole, and picric acid (1). The experimental charge density was determined and compared with ab initio theoretical calculations at the B3LYP/6-311G(d,p) level of theory. The complex serves as a model for the active site in, for example, the serine protease class of enzymes, the so-called catalytic triad. The crystal contains three short strong N-H...O hydrogen bonds (HBs) with dN...O < 2.7 A. The three HBs have energies above 13 kcalmol(-1), although the hydrogen atoms are firmly localized in the "nitrogen wells". This suggests that low-barrier hydrogen bonding in catalytic enzyme reactions may be a sufficient, but not a necessary, condition for obtaining transition-state stabilization. Structural analysis (e.g., covalent N-H bond lengthening) indicates that the hydrogen bond between H3A and 08 of imidazole and betaine respectively (HB2) is slightly stronger than the bond between H1A and O1A of imidazole and picric acid (HB1), although HB1 is shorter than HB2: (dN...O(HB1)= 2.614(1) A, dN...O(HB2) = 2.684(1) A, dH...O(HB1) = 1.630(1) A, dH...O(HB2)= 1.635(1) A, dN-H(HB1) = 1.046(1) A, dN-H(HB2) = 1.057(1) A). Furthermore, the charge density analysis reveals that HB2 has a larger covalent character than HB1, with considerable polarization of the density towards the acceptor atom. The Gatti and Bader source function (S) is introduced to the analysis of strong HBs. The source function is found to be a sensitive measure for the nature of a hydrogen bond, and comparison with low-barrier and single-well hydrogen bonding systems (e.g., benzoylacetone and nitromalonamide) shows that the low-barrier hydrogen bond (LBHB) state is characterized by an enormously increased hydrogen atom source contribution to the bond critical point in the HB. In this context, HB2 can be characterized as intermediate between localized HBs and delocalized LBHBs.
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