A—helix

Figure Bl.17.11. Reconstructed density of an a,p-tiibulin protein dimer as obtained from electron crystallography (Nogales etal 1997). Note the appearance of the p-sheets ((a), marked B) and the a-helices ((b), marked H) in the density. In particular the right-handed a-helix H6 is very clear. Pictures by courtesy of E Nogales and Academic Press.

As witli tlie nematic phase, a chiral version of tlie smectic C phase has been observed and is denoted SniC. In tliis phase, tlie director rotates around tlie cone generated by tlie tilt angle [9,32]. This phase is helielectric, i.e. tlie spontaneous polarization induced by dipolar ordering (transverse to tlie molecular long axis) rotates around a helix. However, if tlie helix is unwound by external forces such as surface interactions, or electric fields or by compensating tlie pitch in a mixture, so tliat it becomes infinite, tlie phase becomes ferroelectric. This is tlie basis of ferroelectric liquid crystal displays (section C2.2.4.4). If tliere is an alternation in polarization direction between layers tlie phase can be ferrielectric or antiferroelectric. A smectic A phase foniied by chiral molecules is sometimes denoted SiiiA, altliough, due to the untilted symmetry of tlie phase, it is not itself chiral. This notation is strictly incorrect because tlie asterisk should be used to indicate the chirality of tlie phase and not tliat of tlie constituent molecules. 

Figure C3.2.18.(a) Model a-helix, (b) hydrogen bonding contacts in tire helix, and (c) schematic representation of tire effective Hamiltonian interactions between atoms in tire protein backbone. From [23].

Conformational free energy simulations are being widely used in modeling of complex molecular systems [1]. Recent examples of applications include study of torsions in n-butane [2] and peptide sidechains [3, 4], as well as aggregation of methane [5] and a helix bundle protein in water [6]. Calculating free energy differences between molecular states is valuable because they are observable thermodynamic quantities, related to equilibrium constants and... 

Table 1. Energetics of the concerted a-helix — 3io-helix transition in (Aib)n. For (Ala)n profiles connect a-helix minima to = (-60°,-29°). For (Aib)n profiles...

Zhang L and J Hermans 1994. 3io-Helix versus a-Helix A Molecular Dynamics Studv of Conformational Preferences of Aib and Alanine. Journal of the American Chemical Society 116 11915-11921. 

The primary structure of a peptide is its ammo acid sequence We also speak of the secondary structure of a peptide that is the conformational relationship of nearest neighbor ammo acids with respect to each other On the basis of X ray crystallographic studies and careful examination of molecular models Linus Pauling and Robert B Corey of the California Institute of Technology showed that certain peptide conformations were more stable than others Two arrangements the a helix and the (5 sheet, stand out as... 

Proteins or sections of proteins sometimes exist as random coils, an arrangement that lacks the regularity of the a helix or pleated p sheet... 

Section 27 19 Two secondary structures of proteins are particularly prominent The pleated sheet is stabilized by hydrogen bonds between N—H and C=0 groups of adjacent chains The a helix is stabilized by hydrogen bonds within a single polypeptide chain... 

A coiled a helix in a protein IS another example of a supercoil... 

Secondary structure (Section 27 19) The conformation with respect to nearest neighbor ammo acids m a peptide or pro tern The a helix and the pleated 3 sheet are examples of protein secondary structures... 

Figure 1.10 Helical conformations in polymer molecules, (a) A vinyl polymer with R substituents has three repeat units per turn, (b) The a helix of the protein molecule is stabilized by hydrogen bonding. [From R. B. Corey and L. Pauling,/ end. Inst. Lombardo Sci. 89 10 (1955).]...

The intrinsic viscosity of poly(7-benzyl-L-glutamate) (Mq = 219) shows such a strong molecular weight dependence in dimethyl formamide that the polymer was suspected to exist as a helix which approximates a prolate ellipsoid of revolution in its hydrodynamic behaviorf ... 

For the a-helix, the length per residue is about 1.5 A. Use this figure with the molecular weight to estimate the length 2a of the particle. Use the estimated a/b ratios to calculate the diameter 2b of the helix, which should be approximately constant if this interpretation is correct. Comment on the results. 

Fig. 5. Protein folding. The unfolded polypeptide chain coUapses and assembles to form simple stmctural motifs such as -sheets and a-hehces by nucleation-condensation mechanisms involving the formation of hydrogen bonds and van der Waal s interactions. Small proteins (eg, chymotrypsin inhibitor 2) attain their final (tertiary) stmcture in this way. Larger proteins and multiple protein assembhes aggregate by recognition and docking of multiple domains (eg, -barrels, a-helix bundles), often displaying positive cooperativity. Many noncovalent interactions, including hydrogen bonding, van der Waal s and electrostatic interactions, and the hydrophobic effect are exploited to create the final, compact protein assembly. Further stmctural...

---