Dehydroamino acids are non-coded amino acids that offer unique conformational properties. Dehydrophenylalanine (DeltaPhe) is most commonly used to modify bioactive peptides to constrain the topography of the phenyl ring in the side chain, which commonly serves as a pharmacophore. The Ramachandran maps (in the gas phase and in CHCl(3) mimicking environments) of DeltaPhe analogues with methyl groups at the beta position of the side chain as well as at the C-terminal amide were calculated using the B3LYP/6-31 + G** method. Unexpectedly, beta-methylation alone results in an increase of conformational freedom of the affected DeltaPhe residue. However, further modification by introducing an additional methyl group at C-terminal methyl amide results in a steric crowding that fixes the torsion angle psi of all conformers to the value 123 degrees , regardless of the Z or E position of the phenyl ring. The number of conformers is reduced and the accessible conformational space of the residues is very limited. In particular, (Z)-Delta(betaMe)Phe with the tertiary C-terminal amide can be classified as the amino acid derivative that has a single conformational state as it seems to adopt only the beta conformation.

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Detailed density functional theory (DFT) calculations on the structure and harmonic frequencies of model all-trans and all-cis polyenes were undertaken. For the first time, we report on the convergence of selected B3LYP/6-311++G** and BLYP/6-311++G** calculated structural parameters resulting from a systematic increase in polyene size (chains containing 2 to 14 C = C units). The limiting values of the structural parameters for very long chains were estimated using simple three-parameter empirical formulae. BLYP/6-311++G** calculated ν(C = C) and ν(C–C) frequencies for all-trans and all-cis polyenes containing up to 14 carbon–carbon double bonds were used to estimate these values for very long chains. Correction of raw, unscaled vibrational data was performed by comparing theoretical and experimental wavenumbers for polyenes chains containing 3 to 12 conjugated C = C units with both ends substituted by tert-butyl groups. The corrected ν(C = C) and ν(C–C) wavenumbers for all-trans molecules were used to estimate the presence of 9 – 12 C = C units in all-trans polyene pigment in red coral.Graphical abstractDetailed density functional theory (DFT) calculations on the structure and harmonic frequencies of model all-trans and all-cis polyenes were undertaken. For the first time, we report on the convergence of selected B3LYP/6-311++G** and BLYP/6-311++G** calculated structural parameters resulting from a systematic increase in polyene size (chains containing 2 to 14 C=C units). The limiting values of the structural parameters for very long chains were estimated using simple three-parameter empirical formulae.Electronic supplementary materialThe online version of this article (doi:10.1007/s00894-016-2969-1) contains supplementary material, which is available to authorized users.

The tendency to adopt β-turn conformation by model dipeptides with α,β-dehydrophenylalanine (ΔPhe) residue in the gas phase and in solution is investigated by theoretical methods. We pay special attention to a dependence of conformational properties on the side-chain configuration of dehydro residue and the influence of N-methylation on β-turn stability. An extensive computational study of the conformational preferences of Z and E isomers of dipeptides Ac-Gly-(E/Z)-ΔPhe-NHMe (1a / 1b) and Ac-Gly-(E/Z)-ΔPhe-NMe(2) (2a/2b) by B3LYP/6-311++G(d,p) and MP2/6-311++G(d,p) methods is reported. It is shown that, in agreement with experimental data, Ac-Gly-(Z)-ΔPhe-NHMe has a great tendency to adopt β-turn conformation. In the gas phase the type II β-turn is preferred, whereas in the polar environment, the type I. On the other hand, dehydro residue in Ac-Gly-(E)-ΔPhe-NHMe has a preference to adopt extended conformations in all environments. N-methylation of C-terminal amide group, which prevents the formation of 1←4 intramolecular hydrogen bond, change dramatically the conformational properties of studied dehydropeptides. Especially, the tendency to adopt β-turn conformations is much weaker for the N-methylated Z isomer (Ac-Gly-(Z)-ΔPhe-NMe(2) ), both in vacuo and in the polar environment. On the contrary, N-methylated E isomer (Ac-Gly-(E)-ΔPhe-NMe(2) ) can easier adopt β-turn conformation, but the backbone torsion angles (ϕ(1) , ψ(1) , ϕ(2) , ψ(2) ) are off the limits for common β-turn types.