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5.4 Polypeptides 271<br />

Figure 5-7. Structure of 3lo-helix of poly(a-amiiioisobutyric acid).<br />

Methyl groups are represented by large circles. (From [S])<br />

group in a11 is inclined to the helix axis whereas it is almost parallel to the axis in MI.<br />

The a-helix conformation is not only coniinoii in polypeptides, and is a basic component<br />

of proteins [2], but its topology forins the basis for two-stranded coiled-coil<br />

structures such as tropomyosin [108]. The 3lo-helix is similar to the a-helix, but has<br />

a 4 i 1 hydrogen-bonding pattern. Although segments are found in proteins [2],<br />

the only polypeptide in which it has been found, as suggested by electron diffraction<br />

[ 1091 and supported by vibrational analysis [ 1101, is poly(a-aminoisobutyric acid),<br />

PAIB (Figure 5-7). Its structure, as indicated by conformational energy calculations<br />

[111], has a nonplanar peptide group. The o-helix is a left-handed 5 - 1<br />

helix, -4.013, proposed from X-ray analysis for the structure of poly(j?-benzyl-Laspartate)<br />

[ 1121. Coiiformational energy calculations have indicated somewhat different<br />

parameters [ 1131, with other calculatioiis suggesting a further variant [114].<br />

The n-helix, said to be present in poly(j?-phenethyl-L-aspartate [115], is also a lefthanded<br />

helix, -4.2516, although a right-handed form with a 4" distorted NC"C<br />

angle has been suggested [116]. The 0- and n-helices also have nonplanar peptide<br />

groups. Other helical conformations have been proposed, a y-helix [lo?, 1031 and a<br />

2.27-helix [117], but neither of these has as yet been observed in polypeptides. When<br />

L and D residues alternate along a chain, which occurs in some transinembrane<br />

peptides, a new class of helices results, the so-called /?-helices[I 18, 1191. Such chains<br />

can also form double-stranded structures with interchain hydrogen bonds.<br />

The simplest polypeptide structure that has intermolecular hydrogen bonds<br />

throughout its lattice is that of PGII, which basically has threefold helical symmetry<br />

[120]. (Because of its achiral C", PGII can be a right- or left-handed helix.) Although<br />

the originally proposed structure was modeled with parallel chains, the ease<br />

of mechanical conversion of PGII to PGI and the evidence for antiparallel chains<br />

in single crystals of PGI led to the suggestion [ 1211 that an antiparallel-chain structure<br />

should exist. Such a model was subsequently proposed 11221, and a detailed

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