The amino acids in a 3₁₀-helix are arranged in a right-handed helical structure. Each amino acid corresponds to a 120° turn in the helix (i.e., the helix has three residues per turn), and a translation of 2.0 Å (= 0.2 nm) along the helical axis. Most importantly, the N-H group of an amino acid forms a hydrogen bond with the C = O group of the amino acid three residues earlier; this repeated i + 3 → i hydrogen bonding defines a 3₁₀-helix. Similar structures include the α-helix (i + 4 → i hydrogen bonding) and the π-helix i + 5 → i hydrogen bonding).

Residues in 3₁₀-helices typically adopt (φ, ψ) dihedral angles near (−49°, −26°). More generally, they adopt dihedral angles such that the ψ dihedral angle of one residue and the φ dihedral angle of the next residue sum to roughly −75°. For comparison, the sum of the dihedral angles for an α-helix is roughly −105°, whereas that for a π-helix is roughly −125°.

The general formula for the rotation angle Ω per residue of any polypeptide helix with trans isomers is given by the equation

<math>

3 \cos \Omega = 1 – 4 \cos^{2} \left(\frac{\varphi + \psi}{2} \right). </math>

• alpha helix
• pi helix
• secondary structure

• Pauling L, Corey RB and Branson HR. (1951) “The Structure of Proteins: Two Hydrogen-Bonded Helical Configurations of the Polypeptide Chain”, Proc. Nat. Acad. Sci. Wash., 37, 205.

Template:Protein secondary structure

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