By the possession of an intra-main-chain hydrogen bond between the CO of residue i and the NH of residue i+3;
By having a distance of less than 7Å between the Cα atoms of residues i and i+3.
The hydrogen bond criterion is the one most appropriate for everyday use, partly because it gives rise to four distinct categories; the distance criterion gives rise to the same four categories but yields additional turn types.
^Milner-White, EJ; Poet R (1987). "Loops, bulges, turns and hairpins in proteins". Trends Biochem Sci. 12: 189–192. doi:10.1016/0968-0004(87)90091-0.
^Wilmot, CM; Thornton JM (1988). "Analysis and prediction of the different types of beta-turn in proteins". J Mol Biol. 203 (1): 221–232. doi:10.1016/0022-2836(88)90103-9. PMID3184187.
^Sibanda, BL; Blundell TL (1989). "Conformation of β-hairpins in protein structures: A systematic classification with applications to modelling by homology, electron density fitting and protein engineering". J Mol Biol. 206 (4): 759–777. doi:10.1016/0022-2836(89)90583-4. PMID2500530.