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50 1 Amino Acids, Peptides, Proteins

Table 1.21. Regular structural elements (secondary structures) in polypeptides

Structure Φ ψ n a d b r c Comments

( ◦ ) ( ◦ ) (Å) (Å)

β-Pleated sheet, parallel −119 +113 2.0 3.2 1.1 Occurs occasionally in neighbouring

chain sectors of globular proteins

β-Pleated sheet, antiparallel −139 +135 2.0 3.4 0.9 Common in proteins and synthetic

polypeptides

3 10 -Helix −49 −26 2.3 2.0 1.9 Observed at the ends of α-helixes

α-Helix, left-handed coiling +57 +47 3.6 1.5 2.3 Common in globular proteins, as α

“coiled coil” in fibrous proteins

α-Helix, right-handed coiling −57 −47 3.6 1.5 2.3 Poly-D-amino acids poly-(β-benzyl)-

L-aspartate

π-Helix −57 −70 4.4 1.15 2.8 Hypothetical

Polyglycine II −80 +150 3.0 3.1 Similar to antiparallel β-pleatedsheet

formation

Polyglycine II, +80 −150 3.0 3.1 Synthetic polyglycine is a mixture of

left-handed coiling

right- and left-handed helices; in

some silk fibroins, the left-handed

helix occurs

Poly-L-proline I −83 +158 3.3 1.9 Synthetic poly-L-proline, only

cis-peptide bonds

Poly-L-proline II −78 +149 3.0 3.1 As left-handed polyglycine II, as

triple helix in collagen

a Amino acid residues per turn.

b The rise along the axis direction, per residue.

c The radius of the helix.

permissible ranges for amino acids other than

glycine (R ≠ H). The range is broader for glycine

(R = H). Figure 1.18 demonstrates that most

of 13 different proteins with a total of about

2500 amino acid residues have been shown

empirically to have values of ψ,φ-pairs within

the permissible range. When a multitude of

equal ψ,φ-pairs occurs consecutively in a peptide

chain, the chain acquires regular repeating structural

elements. The types of structural elements

are compiled in Table 1.21.

1.4.2.2.1 β-Sheet

Fig. 1.18. φ,ψ-Diagram for observed values of 13 different

proteins containing a total of 2500 amino acids.

(according to Schulz and Schirmer, 1979)

Three regular structural elements (pleatedsheet

structures) have values in the range of

φ = −120 ◦ C and ψ =+120 ◦ C. The peptide

chain is always lightly folded on the C α atom

(cf. Fig. 1.19), thus the R side chains extend

perpendicularly to the extension axis of the chain,

i. e. the side chains change their projections alternately

from +z to−z. Such a pleated structure is

stabilized when more chains are present.

Subsequently, adjacent chains interact along the

x-axis by hydrogen bonding, thus providing the

cross-linking required for stability. When adjacent

chains run in the same direction, the peptide

chains are parallel. This provides a stabilized,

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