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5.4 Polypeptides 257<br />

nonhydrogen-bonded conformers. While NH ib contributes (at the level of 2 10)<br />

to the higher frequency C5 and C7E modes, it is absent from the C7A modes.<br />

Furthermore, if we ascribe amide I11 character to H" b, CN s modes with minimal<br />

NH ib, then C7A has such modes at frequencies well over 1300 cnrl, again<br />

reflecting the conformation-dependent contribution of H" b. (The situation is<br />

somewhat reversed in the crystalline Ala dipeptide [74], with a calculated mode at<br />

1325 cni-' showing traditional CN s, NH ib character and modes at 1272 and 1258<br />

cm-' having H' b, CN s character.) Since NH ib can contribute throughout the<br />

-1400-1200 cn1-l region, and can mix variably with CN s and Ha bend, it is not<br />

surprising that the amide I11 modes are a complex function of conformation.<br />

The amide V modes are dominated by the effects of hydrogen bonding. Thus, the<br />

free amide V mode is at -580 cni-' in all three conformers, while the bonded<br />

modes reflect the increasing hydrogen bond strengths: -690 cm-l in C5 (the splitting<br />

probably due to an accidental resonance with another mode), 754 cm-' in C7E,<br />

and 809 cni-' in C7A. Hydrogen bonding thus seeins to mask conforinational<br />

differences in amide V.<br />

These studies on NMA and the Ala dipeptide illustrate that, although it is useful<br />

to characterize peptide spectra in terms of supposedly localized amide modes, it is<br />

the subtle differences in the detailed nature of these vibrations with varying conformation<br />

and hydrogen bonding that provide the spectral clues to differences in<br />

structure. This is demonstrated by analyses of tripeptides [28, 75-77], which also<br />

involve interactions between two peptide groups. Although done with an empirical<br />

force field [5], these analyses show the sensitivity of vibrational spectra to specific<br />

structural features. This emphasizes the importance of highly accurate force fields<br />

in enabling vibrational analysis to realize its potential for being a powerful tool to<br />

study the structures and forces in macromolecules.<br />

5.4 Polypeptides<br />

As will be obvious from our previous discussion, a comprehensive understanding of<br />

the vibrational spectra of polypeptides depends on having reliable normal mode<br />

analyses to combine with appropriate experimental studies. Such analyses in turn<br />

rest on the quality of the force field. At the present time, an SDFF for the polypeptide<br />

chain is not available, the most detailed normal mode analyses being based<br />

on extensive empirical force fields [5]. These force fields have been tested on tripeptides<br />

of known structure with excellent predictive results [28, 75-77], and have<br />

proven to be very satisfactory for polypeptide systems. For reasons given in Section<br />

5.2.1, however, we must be careful about a final acceptance of all of their detailed<br />

predictions. Acknowledging these reservations, the general features of polypeptide<br />

spectra provided by the present detailed empirical force fields can nevertheless be<br />

accepted with confidence.<br />

In this section, we describe results of some of the vibrational analyses that<br />

have been done on the main secondary conformations found in polypeptides, viz.,

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