Protein secondary structure

Protein secondary structure consists of recurring local arrangements of the protein backbone, notably the alpha helix and beta sheet. Backbone hydrogen bonds help stabilize these patterns. A beta sheet can bring together stretches far apart in the protein primary structure; local refers to the pattern of backbone geometry, not necessarily neighboring sequence positions. See Alberts et al.: alpha helices, beta sheets and backbone interactions.

A pi helix contains carbonyl-i to NH-(i+5) hydrogen bonds, sixteen-membered hydrogen-bonded rings, and approximately 4.4 residues per turn.

A 3-10 helix repeats carbonyl-i to NH-(i+3) hydrogen bonds and has about three residues per turn. The “10” counts atoms in its hydrogen-bonded ring.

A gamma turn commonly contains a seven-membered backbone hydrogen-bonded ring, connecting a residue-i carbonyl to the NH of residue i+2.

An amphipathic helix presents chemically different faces, often a relatively polar face and a hydrophobic face. Shallow membrane insertion can change leaflet packing without making a full transmembrane segment.

An alpha helix is a coiled protein secondary structure with a repeated pattern of backbone hydrogen bonds. In the standard pattern, the backbone group of amino acid residue $i$ bonds to that of residue $i+4$: for example, positions 2 and 6. This is an additional spatial interaction, not a replacement peptide bond between those positions. Pauling, Corey and Branson proposed the helical arrangement in their 1951 paper by reasoning from the geometry of small molecules. See Pauling, Corey and Branson, The Structure of Proteins: Two Hydrogen-Bonded Helical Configurations of the Polypeptide Chain, PNAS 37, 205–211 (1951).

A beta sheet consists of extended stretches of protein backbone lying alongside one another, joined by backbone hydrogen bonds. The stretches can belong to different portions of the same polypeptide chain or to different chains.

Each extended stretch is a beta strand. Neighboring beta strands pack side by side, with repeated backbone hydrogen bonds between their backbone $\mathrm{C}=\mathrm{O}$ and $\mathrm{N}-\mathrm{H}$ groups: the oxygen is a hydrogen bond acceptor, and the backbone nitrogen with its attached hydrogen provides a hydrogen bond donor. These are interactions of the shared protein backbone, not merely contacts between amino acid side chains. Unlike an alpha helix, a beta sheet joins adjacent extended stretches rather than coiling one stretch around an axis. See Clark, Douglas and Choi, Biology 2e, 3.4: backbone groups in secondary structure.

Read each beta strand in the sequence direction from the N-terminus toward the C-terminus, even when it is an internal part of a longer polypeptide chain. In a parallel beta sheet, neighboring beta strands run in the same N→C direction; in an antiparallel beta sheet, they run in opposite N→C directions. A three-strand example can therefore have arrows right–right–right or right–left–right. A beta sheet can also mix the two arrangements. Direction does not identify chain membership: a single polypeptide chain can fold back to supply several beta strands, and different polypeptide chains can contribute to one beta sheet. See Alberts et al., Molecular Biology of the Cell: beta-sheet strand arrangements.

The pleated appearance comes from the geometry of the protein backbone. Successive amino acid residues carry amino acid side chains on alternating faces of an ideal beta strand, conventionally drawn above and below the sheet. The attachment positions are the amino acid alpha carbons. Thus a six-position cartoon has groups 1, 3 and 5 on one face and 2, 4 and 6 on the other. This alternation is a spatial pattern, not a rule that alternating positions must contain identical amino acids. See Clark, Douglas and Choi: side chains above and below the pleats.

Real beta sheets commonly twist and curve; pleating does not make them perfectly flat plates. Which beta strands are neighbors, how connecting regions join them, and how their faces pack are features of the three-dimensional protein structure. An alternating pattern in the protein primary structure alone neither establishes a beta sheet nor specifies a unique fold independently of surroundings and interacting molecules. See Breda et al., Protein Structure, Modelling and Applications: extended strands, sheet twist and three-dimensional organization and protein folding.

Why this arrangement is useful: repeated backbone hydrogen bonds organize extended chain regions into a framework that can contribute to the interior of a folded protein. Amino acid side chains and connecting loops give that framework chemical variety and can shape a protein binding site for a ligand. Its attractive feature is the combination of a reusable backbone pattern with variable exposed groups: similar beta sheets can support different recognition surfaces. See Alberts et al.: beta-sheet cores and loops that form binding sites.

Historically, Linus Pauling and Robert B. Corey published The Pleated Sheet, a New Layer Configuration of Polypeptide Chains in PNAS 37, 251–256 (1951). They reasoned from peptide bond geometry and possible backbone hydrogen bonds, proposing an idealized layer rather than measuring every modern beta sheet. Their initial model should not be identified with all present-day beta sheet geometries; they published further pleated-sheet configurations later in 1951. See Pauling and Corey: original 1951 paper and scan, ^[ref], and Pauling and Corey, Configurations of Polypeptide Chains With Favored Orientations Around Single Bonds: Two New Pleated Sheets, PNAS 37, 729–740 (1951).

A beta strand is an extended segment of protein backbone in the geometry characteristic of a beta sheet. Several beta strands can associate through backbone hydrogen bonds. A beta strand need not be an entire polypeptide chain.

A parallel beta sheet has neighboring beta strands running in the same direction along their amino acid residue sequences, from the N-terminus toward the C-terminus.

An antiparallel beta sheet has neighboring beta strands running in opposite N→C sequence directions. This specifies strand orientation rather than whether the beta strands belong to one polypeptide chain or several.

A backbone hydrogen bond is a hydrogen bond involving groups of the protein backbone, typically a backbone oxygen chemical atom and a hydrogen chemical atom already joined by a covalent bond to backbone nitrogen. It can connect positions that are not adjacent along the polypeptide chain. The peptide bonds still determine which amino acid residues are consecutive. See the original structural argument cited under alpha helix.