Vibrational analysis of peptides, polypeptides, and proteins. XXXII. alpha-Poly(L-glutamic acid)

The Raman and ir spectra of α-helical poly(L -glutamic acid) have been assigned on the basis of a normal mode calculation for this structure. The force field was based on our previously refined main-chain force constants for α-poly(L -alanine) and side-chain force constants for β-calcium–poly(L -glutamate). Despite the identical backbone α-helical structures, significantly different frequencies are calculated, and observed, in the amide III and backbone stretch regions of α-poly(L -glutamic acid), as compared with α-poly(L -alanine). This clearly demonstrates the influence of side-chain structure on mainchain vibrational modes.     

Vibrational analysis of peptides,polypeptides, and proteins. II. β-Poly(L-alanine) and β-poly(L-alanylglycine)

The normal vibration frequencies of poly(L -alanine) and poly(L -alanylglycine) in the antiparallel chain-pleated sheet structure have been calculated, using the force field for polyglycine I from the previous paper (Biopolymers 15 , 2439–2464) plus additional force constants for the methyl group. The agreement with observed ir and Raman bands is very good. This substantiates the excellent transferability of the force field, since polyglycine I was shown to have a rippled-sheet structure. The amide I and amide II mode splittings are very well accounted for by transition dipole coupling, showing that subtle structural differences are sensitively manifested through this mechanism.     

Infrared spectra and resonance interaction of amide-I vibration of the paraellel-chain pleated sheets.

Resonance vibrational interactions of amide I for the parallel-chain pleated-sheet structure have been treated on the basis of the perturbation theory in a dipole–dipole approximation. The infinite sheet and finite fragments of different types have been considered. The possibility of experimental observation by infrared spectra of parallel-chain pleated-sheet fragments in globular proteins is discussed.     

Vibrational spectroscopy of L-valyl-glycyl-glycine,a parallel-chain β-structure

Bands in the ir and Raman spectra of L -valyl-glycyl-glycine (VGG) and VGG-ND have been assigned on the basis of a normal mode analysis of the known parallel-chain β-structure of this tripeptide. Amide I, II, III, and V mode shifts are obtained by the interactions of dipole derivatives in symmetry coordinates, referred to as dipole derivative coupling. These derivatives, obtained from ab initio studies, are also used to calculate ir intensities of amide I, II, and V modes. The agreement between predicted and observed frequencies and intensities is very good, providing confidence in the application of our force fields to the calculation of the vibrational modes of the general parallel-chain β-sheet structure (following paper).     

Vibrational analysis of peptides,polypeptides, and proteins. XXI. β-Calcium-poly(L-glutamate)

The observed Raman and ir spectra of Ca-poly(L -glutamate) in the β conformation have been analyzed by means of a normal mode calculation. The force field for the main chain was transferred without refinement from β-poly(L -alanine), yet it provides a good prediction of the observed bands and, in particular, explains subtle differences in the spectra of these two β-sheet structures. Main- and side-chain modes are well characterized, and the dependence of the amide III frequency on side-chain composition is again demonstrated.     

Preresonance Raman studies of poly(L-lysine), poly(L-glutamic acid), and deuterated N-methylacetamides

The Raman spectra of poly(L -lysine) with various structures, ionized poly(L -glutamic acid), and deuterated N-methylacetamides have been observed using visible and the 257.3-nm laser lines as the light source. Most of the Raman bands with significantly enhanced intensities in the uv-excited spectra of the polymers have been assigned to the vibrations associated with the C?O and C–N stretching modes, the amide I, II, III, I′, II′, and III′, with reference to the results obtained for simple amide molecules including the deuterated N-methylacetamides. Several amide frequencies have been newly identified and the structures of the polymers have been discussed through the comparison of the Raman and ir amide frequencies.     

Ab initio-based vibrational analysis of α-poly(L-alanine)

Polarized ir and Raman spectra have been obtained on oriented films of α-helical poly(L -alanine) (α-PLA) and its N-deuterated derivative. These improved spectra permit a more complete assignment of observed bands to A-, E₁-, and E₂-species modes. A new empirical force field has been refined, based on ab initio force fields of N-methylacetamide and L -alanyl-L -alanine, which reproduces observed frequencies above 200 cm⁻¹ to less than 5 cm⁻¹. A new transition dipole coupling treatment avoids the weak coupling and perturbation approximations, and can now account for the newly observed and reassigned amide I (E₂) mode. As a result of this improved force field, several other observed bands have also been reassigned. © 1998 John Wiley & Sons, Inc. Biopoly 46: 283–317, 1998     

Low-frequency dynamics of solid poly(L-alanine) from Raman spectroscopy

Raman modes from amorphous α-helical poly(L -alanine) in the low-frequency region < 150 cm^?1 have been observed and assignments and values compared with mode-analysis calculations. The temperature dependence of the complete Raman spectrum of α-poly(L -Ala) is also reported.     

Thermal variations, between 1 and 3000 degrees K, of the specific heat of L-alanine, tri(L-alanine) and poly(L-alanine) for the alpha and beta forms]

The heat capacities of L -Alanine, tri(L -alanine), and poly (L -alanine) (α helicoidal form and β pleated sheet structure) have been measured between 1.5 and 300°K with a standard adiabatic calorimeter. In the solid state, the heat capacity is in general dut to three parts which are additive in first-order approximation. (1) The lattice vibrations or “acoustical modes” which are the largest at low temperatures. The low-temperature lattice specific heat is proportional to T, T², or T³ for an ideal one-, two- or three-dimensional solid, respectively. (2) The so-called group vibrations or “optical modes” which, due to their high frequencies, usually take effect only at higher temperatures. (3) The defects and unharmonic effects. The α-amino acid and its trimer present a specific heat thermal variation characteristic of molecular solids which is correctly fitted with an empirical law proposed by Kitaigorodskii. This author assumes that, for such solids, the molecular lattice point has six degrees of freedom (three of translation and three of rotation). Thus the lattice contribution of the specific heat satisfies the Debye approximation in agreement with the doubling of the number of degrees of freedom per molecule (compared with atomic crystals). The polypeptide behavior is, however, different. The specific heat for each form exhibits a thermal dependence connected with a strong vibrational anisotropy. The model proposed earlier by Tarasov accounts well for these results. In the case of the β form, we have observed the predicted three- and two-dimensional behavior due to the intermolecular H bondings responsible for the sheet structure. For the α form we observed a one-dimensional pattern at higher temperature, since each peptidic chain vibrates separately. The comparison with other spectroscopic and theoretical investigations shows a large discrepancy. However, we have attemped to account for the “optical contribution” to the specific heat of poly(L -alanine) by using a continuum of mean frequencies as suggested by Wunderlich. Vibrational frequency spectra are proposed to explain our results, but the overlapping of acoustical and optical branches in the case of the α form outlines the limits of macroscopic models. It is quite likely that the acoustical spectrum is greatly affected by the intramolecular H bonding. At low temperature the specific heat is a physical property sensitive to the long-range order of the macromolecule, and therefore further spectroscopic and theoretical investigations are necessary to explain correctly these experimental results.     

Conformational aspect of polypeptide structure. XLIV. Conformational transitions of poly(N-methyl-alanines) induced by trifluoroacetic acid

The synthesis of poly(N-methyl-L -alanine) and poly (N-methyl-DL -alanine) are described. The polymers were examined by 220 MHz high-resolution nuclear magnetic resonance (nmr) and circular dichroism (CD). The results demonstrate that poly(N-methyl-L -alanine) exists as an ordered helical structure with all the amide bonds in the trans configuration in appropriate solvents. As trifluoroacetic acid (TFA) is added to the solutions of the polymer in helix-supporting solvents, resonances corresponding to both trans and cis amide conformations of N-methyl, C-methyl, and α-CH are observed. The presence of both the trans and the cis peptide bonds in a polymer chain disrupts the ordered structures. Our conclusions from CD data are in agreement with the nmr results. Ultracentrifugation shows that degradation of the polymer chain does not occur during the TFA treatment.     

Solid-state conformation of copolymers of β-benzyl-L-aspartate with L-alanine,L-leucine,L-valine, γ-benzyl-L-glutamate,or ϵ-carbobenzoxy-L-lysine

The solid-state conformation of copolymers of β-benzyl-L -aspartate [L -Asp(OBzl)] with L -leucine (L -Leu), L -alanine (L -Ala), L -valine (L -Val), γ-benzyl-L -glutamate [L -Glu(OBzl)], or ?-carbobenzoxy-L -lysine (Cbz-L -Lys) has been studied by ir spectroscopy and circular dichroism (CD). The ir spectra in the region of the amide I and II bands and in the region of 700–250 cm^?1 have been determined. The results from the ir studies are in good agreement with data obtained by CD experiments. Incorporation of the amino acid residues mentioned above into poly[L -Asp(OBzl)] induces a change from the left-handed into the right-handed α-helix. This conformational change for the poly[L -Asp(OBzl)] copolymers was observed in the following composition ranges: L -Leu, 0–15 mol %; L -Ala, 0–32 mol %; L -Val, 0–8 mol %; L -Glu(OBzl), 3–10 mol %; and Cbz-L -Lys, 0–9 mol %.     

Raman spectroscopic study of mechanically deformed poly-L-alanine

Raman spectroscopy has been used in investigating the conformational transitions of poly-L -alanine (PLA) induced by mechanical deformation. We see evidence of the alpha-helical, antiparallel beta-sheet, and a disordered conformation in PLA. The disordered conformation has not been discussed in previous infrared and X-ray diffraction investigations and may have local order similar to the left-handed 3₁ poly glycine helix. The amide III mode in the Raman spectrum of PLA is more sensitive than the amide I and II modes to changes in secondary structure of the polypeptide chain. Several lines below 1200 cm^?1 are conformationally sensitive and may generally be useful in the analysis of Raman spectra of proteins. A line at 909 cm^?1 decreases in intensity after deformation of PLA. In general only weak scattering is observed around 900 cm^?1 in the Raman spectra of antiparallel beta-sheet polypeptides. The Raman spectra of the amide N–H deuterated PLA and poly-L -leucine (PLL) in the alpha-helical conformation and poly-L -valine (PLV) in the beta-sheet conformation are presented. Splitting is observed in the amide III mode of PLV and the components of this mode are assigned. The Raman spectrum of an alpha-helical random copolymer of L -leucine and L -glutamic acid is shown to be consistent with the spectra of other alphahelical polypeptides.     

VCD Robustness of the Amide‐I and Amide‐II Vibrational Modes of Small Peptide Models

The rotational strengths and the robustness values of amide‐I and amide‐II vibrational modes of For(AA)_nNHMe (where AA is Val, Asn, Asp, or Cys, n = 1–5 for Val and Asn; n = 1 for Asp and Cys) model peptides with α‐helix and β‐sheet backbone conformations were computed by density functional methods. The robustness results verify empirical rules drawn from experiments and from computed rotational strengths linking amide‐I and amide‐II patterns in the vibrational circular dichroism (VCD) spectra of peptides with their backbone structures. For peptides with at least three residues (n ≥ 3) these characteristic patterns from coupled amide vibrational modes have robust signatures. For shorter peptide models many vibrational modes are nonrobust, and the robust modes can be dependent on the residues or on their side chain conformations in addition to backbone conformations. These robust VCD bands, however, provide information for the detailed structural analysis of these smaller systems. Chirality 27:625–634, 2015 © 2015 Wiley Periodicals, Inc.     

Estimation of the circular dichroism exhibited by statistical coils of poly(L-alanine) and unionized poly(L-lysine) in water

The circular dichroism of Ac-(Ala)_x-OMe and H-Lys-(Lys)_x-OH with x = 1, 2, 3, and 4 has been measured in aqueous solutions. The oligomers with x = 4 show similar circular dichroism spectra in water when the lysyl amino groups are protonated, and they respond in similar fashion to heating and to sodium perchlorate. Both oligomers at 15°C exhibit a positive circular dichroism band at 217–218 nm, which is eliminated by the isothermal addition of 4 M sodium perchlorate or by heating. The positive circular dichroism of the lysine oligomer is also eliminated when the pH is elevated to deprotonate the amino groups. Positive circular dichroism is still observed for Ac-(Ala)₄-OMe at elevated pH. Circular dichroism spectra have been estimated for poly(L -alanine) and poly(L -lysine) as statistical coils under the above conditions, based on the trends established with the oligomers. Poly(L -lysine) and poly(L -alanine) are predicted to exhibit similar circular dichroism behavior in aqueous solution so long as the lysyl amino groups are protonated. The circular dichroism of the statistical coil of poly(L -lysine), but not poly(L -alanine), is predicted to change when the pH is elevated sufficiently to deprotonate the lysyl amino groups. These results suggest that the unionized lysyl side chains participate in interactions that are not available to poly(L -alanine). Hydrophobic interactions may occur between the unionized lysyl side chains. Protonation of the lysyl amino groups is proposed to disrupt these interactions, causing poly(L -alanine) and protonated poly(L -lysine) to have similar circular dichroism properties.     

Vibrational CD of the amide II band in some model polypeptides and proteins.

The amide II vibrational CD (VCD) spectra of poly (L-glutamic acid) and poly (L-lysine) in various conformational forms and those of several proteins in H2O have been measured. Characteristic VCD patterns have been observed in the amide II region due to helix, beta-sheet, and coil conformations in polypeptides. Based on their x-ray crystal structures, the proteins studied have been assigned to six categories. Proteins in the same category give rise to similar amide II VCD. While the protein conformational type is indicated using the amide II VCD, discrimination between types is less characteristic than with the previously studied amide I' VCD in D2O.     

Vibrational frequencies and modes of alpha-helix

Dichroic properties of the far-infrared absorption bands of the right-handed α-helix of poly-L -alanine were measured. The normal vibration frequencies of this structure were calculated. The assignments of bands were made and the vibrational modes dis-cussed. The frequencies of the α-helix vibrations with various phase differences were calculated. The frequencies of accordionlike vibrations and Young's modulus of the α-helix were estimated. The vibrational frequency for the right-handed α-helices of poly-D -alanine and poly(L -α-amino-n-butyric acid) were calculated, and the results were used for the interpretation of the spectra of copoly-D ,L -alanines and poly(L -α-amino-n-butyric acid). For the latter compound the existence of the rotational isomers in the side chain was strongly suggested. The vibrational modes of the bands characteristic of the α-helix were discussed with regard to the results of the normal coordinate treatment.     

Far-infrared spectra of sequential copolymers of amino acids with alkyl group side chains

Far-infrared spectra were measured for the sequential copolymers of amino acids with alkyl group side chains. The analysis of the spectra showed that (L -Ala-L -Ala-Gly)_n, (L -Ala-Gly)_n, (L -Ala-Gly-Gly)_n, (L -Val-L -Ala-L -Ala)_n, and (L -Val-L -Ala)_n, have the antiparallel pleated sheet structures and that the backbone conformations of (L -Val-L -Val-L -Ala)_n and (L -Val-L -Val-Gly)_n are the same as that of poly-L -valine. The far-infrared bands characteristic of the antiparallel pleated sheet structure were assigned on the basis of the result of the normal coordinate analysis of poly-L -alanine with this structure. The intersheet and interchain spacings of the sequential copolymers with the antiparallel pleated sheet structure were determined from the x-ray powder-diffraction patterns of these samples.     

Laser-Raman spectroscopy of biomolecules. XI. Conformational study of poly(L-valine) and copolymers of L-valine and L-alanine

Raman spectroscopic studies have been carried out on polymers of L -valine ranging in degree of polymerization (DP) from 2 to 930. The spectrum of the hexapeptide (DP = 6) is closely similar over the entire range 40–1750 cm^?1 to those of polymers with much higher DP, and the structure is clearly shown to be that of the antiparallel pleated sheet (β-structure) by the amide I and III frequencies. The formation of a little α-helical structure occurs in polymers with DP above 500, although the amount does not appear to be a linear function of DP. The α-helical structure is unstable and readily destroyed in samples cast from trifluoroacetic acid solution. It is stabilized by the incorporation of L -alanine, a strong helix-former; polymers of the latter may in turn be forced into a α-structure in copolymers sufficiently rich in L -valine.     

Vibrational analysis of peptides,polypeptides, and proteins. V. Normal vibrations of β-turns

The normal modes have been calculated for β-turns of types I, II, III, I′, II′, and III′. The complete set of frequencies is given for the first three structures; only the amide I, II, and III modes are given for the latter three structures. Calculations have been done for structures with standard dihedral angles, as well as for structures whose dihedral angles differ from these by amounts found in protein structures. The force field was that refined in our previous work on polypeptides. Transition dipole coupling was included, and is crucial to predicting frequency splittings in the amide I and amide II modes. The results show that in the amide I region, β-turn frequencies can overlap with those of the α-helix and β-sheet structures, and therefore caution must be exercised in the interpretation of protein bands in this region. The amide III modes of β-turns are predicted at significantly higher frequencies than those of α-helix and β-sheet structures, and this region therefore provides the best possibility of identifying β-turn structures. Amide V frequencies of β-turns may also be distinctive for such structures.     

Optical properties of cyclic dimers of amino acids: An experimental and theoretical study

CD spectra have been measured in the vacuum-uv region to about 135 nm for cyclo(L alanyl-glycine), cyclo(L alanyl-L -alanine), and cyclo(L -prolyl-L -proline). In addition to the amide CD bands usually observed at wavelengths longer than 180 nm, a Independent systems calculations show that these intense short-wavelenght bands can be attributed to σσ* transitions of the backbone. Transitions of the amide chromophore expected at wavelenghts shorter than 180 nm cannot account for the observed CD.