Cooperativity in amide hydrogen bonding chains: Implications for protein-folding models

Cooperativity in amide hydrogen bonding chains: Implications for protein-folding models
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DOI:
10.1021/ja004271l
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发表时间:
2001-05-09
影响因子:
15
通讯作者:
Dannenberg, JJ
Dannenberg, JJ
中科院分区:
化学1区
文献类型:
--
作者:
Kobko, N;Paraskevas, L;Dannenberg, JJ

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Protein folding is an important, yet still relatively poorly understood, field with many implications for a number of important biochemical processes. There have been several reviews1, 2 that are relevant to the chemical processes of protein folding. An entire issue of Accounts of Chemical Research was recently dedicated to this topic. 3 The dynamics of the folding process is typically studied using Monte Carlo techniques on a potential surface defined using the individual nearest neighbor contacts. While use of pairwise contact potentials has been criticized as inadequate, 4 success in using effective two-body potentials to simulate a manybody problem has also been reported. 5 In this communication we present data that reveals an unusually high degree of cooperativity for hydrogen-bonding chains of formamide molecules. Similar chains form in proteins. To the extent that the H-bonding chains discussed here resemble those in proteins, the pairwise potentials that have been used to model the analogous hydrogen bonds in polypeptides might lead to misleading results. Cooperativity within complexes of N-methylformamides with formate has been recently reported in a DFT and molecular mechanics study. 6 It is becoming increasingly apparent that cooperative interactions involving many molecules is an important component of intermolecular interactions, particularly those involving hydrogen bonds. These cooperative interactions are particularly important in the solid-state. In the gas phase, molecules are too separated to interact cooperatively. In the liquid phase, dynamic changes in the nearest neighbor molecules limit the importance of cooperativity. Many molecular crystals involve hydrogen-bonding interactions. A particular example is that of the enol of 1, 3-cyclohexanedione. The crystal structure of this molecule involves infinite hydrogen bonding chains. The O... O distance across the hydrogen bond is quite short (2.58 Å), 7 implying a strong, possibly covalent, interaction. The CC and CdC bonds shorten and lengthen respectively in the crystal, as do the CO and CdO bonds. Interactions of this type have been referred to as resonance assisted hydrogen bonds (RAHB). 8 As one might expect, molecular orbital calculations indicate a strong cooperative component plays an important role in the intermolecular interactions. These H-bonds are poorly described as electrostatic interactions. 9 They are highly cooperative. 10Hartree-Fock (HF) and density functional theory (DFT) calculations at the HF/D95** and B3LYP/D95** levels were performed on H-bonding chains of from two to ten formamide molecules using the GAUSSIAN 98 suite of computer programs. 11 The B3LYP method combines Becke’s 3-parameter functional, 12 with the nonlocal correlation provided by the correlation functional of Lee, Yang and Parr. 13 The H-bonding chains were completely optimized with the restraint that each formamide molecule be geometrically equivalent and coplanar with the others. The intermolecular geometrical parameters were completely unrestrained. Molecules were arranged as in Figure 1. Vibrational frequencies were calculated to obtain the enthalpy and counterpoise (CP) corrections for basis set superposition error (BSSE) were calculated for the dimers. These values were used as corrections for the larger chains using the assumption that both the vibrational and CP corrections would be treated as additive. In this manner, nine times the vibrational and CP corrections for the dimer (one H-bond) are used for the decamer (nine H-bonds). The validity of this assumption was tested on fully optimized small aggregates containing from two to five formamides. The …