The planarity of peptide bonds is an assumption that underlies decades of theoretical modeling of proteins. Peptide bonds strongly deviating from planarity are considered very rare features of protein structure that occur for functional reasons. Here, empirical analyses of atomic-resolution protein structures reveal that trans peptide groups can vary by more than 25°from planarity and that the true extent of nonplanarity is underestimated even in 1.2 Å resolution structures. Analyses as a function of the φ,ψ-backbone dihedral angles show that the expected value deviates by 8°from planar as a systematic function of conformation, but that the large majority of variation in planarity depends on tertiary effects. Furthermore, we show that those peptide bonds in proteins that are most nonplanar, deviating by over 20°from planarity, are not strongly associated with active sites. Instead, highly nonplanar peptides are simply integral components of protein structure related to local and tertiary structural features that tend to be conserved among homologs. To account for the systematic φ,ψ-dependent component of nonplanarity, we present a conformation-dependent library that can be used in crystallographic refinement and predictive protein modeling.omega torsion angle | peptide planarity | protein geometry | kernal density regression | strain T he prediction of the dominant forms of secondary structure in proteins, α-helices and β-strands, was enabled by the simplifying assumption that the peptide bond was planar, consistent with its expected partial double-bond character and evidence from small-molecule crystal structures (1-3). Pauling, et al. were aware that deformations from planarity associated with an energetic cost could occur, but the expectation was that the minimumenergy conformation was always planar (2, 4). In proteins, the ω torsion angle measures peptide planarity, with ω ¼ 180°and ω ¼ 0°representing planar trans and cis peptides, respectively. In an early large-scale empirical study of peptide planarity, MacArthur and Thornton (5) found that in proteins determined at better than 2 Å resolution and in small-molecule peptides, the ω-distributions were Gaussian-like with averages of 179.6°( σ ¼ 4.7°) and 179.7°(σ ¼ 5.9°), respectively. These authors further proposed that the smaller spread seen in proteins was an artifact due to the planarity restraints used in crystallographic refinements. This study and that of Karplus (6) also showed that the average ω-value varies as a function of the conformation of the backbone torsion angles φ and ψ, with MacArthur and Thornton suggesting that the direction of nonplanarity was related to the handedness of the φ,ψ-associated chain twist (5).As more structures were analyzed at ultrahigh (≤1.2 Å) resolutions (7), higher deviations in planarity have emerged (8-13). It has also been proposed that highly nonplanar residues are biased toward active sites (14), and a number of descriptions of protein structures emphasized nonplanar peptide bonds in the active site (14-17). The...