The orientations of reaction center transition moments in the chromatophore membrane of Rhodopseudomonas sphaeroides, based on new linear dichroism and photoselection measurements

Chromatophore membranes from Rhodopseudomonas sphaeroides were oriented by drying suspensions on the surfaces of glass slides. Polarized spectra of light-induced absorption changes were obtained between 500 and 1000 nm. As observed earlier, these spectra showed negative bands, reflecting photooxidation of the bacteriochlorophyll ‘special pair’ in the reaction centers, centered near 870, 810, 630 and 600 nm. These bands have been designated BY₁, BY₂, BX₁ and BX₂, respectively, corresponding to two Q_y transitions and two Q_x transitions of the dimeric special pair. We found the BY₁ and BX₁ transition moments to be parallel (within 20°) to the plane of the membrane, whereas the BX₂ moment makes an angle of 55–63° with the plane.Using the photoselection technique we found that the angle between the BY₁ and BX₁ transition moments is 30°, while that between BY₁ and BX₂ is 75°. The BX₁ and BX₂ moments were found to be orthogonal, consistent with the prediction of molecular exciton theory for a dimer.By combining these data, we have calculated the orientations of the transition moments of the bacteriochlorophyll dimer in spherical polar coordinates, with the pole of the coordinate system normal to the plane of the membrane. The orientations of the Q_y and Q_x transition moments of the two bacteriopheophytin molecules in the reaction center were also computed in this coordinate system by transforming the data reported by Clayton, C.N., Rafferty, R.K. and Vermeglio, A. ((1979) Biochim. Biophys. Acta 545, 58–68). We have derived the transformation equations for two polar coordinate systems: in one, the pole is an axis of symmetry as defined by the orientations of purified reaction centers in stretched gelatin films (Rafferty, C.N. and Clayton, R.K. (1979) Biochim. Biophys. Acta 545, 106–121). In the other, the pole is normal to the plane of the chromatophore membrane. These two polar axes are approximately orthogonal.     

Magnetophotoselection of the triplet state of reaction centers from Rhodopseudomonas sphaeroides R-26.

Reaction centers of the photosynthetic bacterium Rhodopseudomonas sphaeroides R-26, give rise to large triplet state EPR signals upon illumination at low temperature (11 K). Utilizing monochromatic polarized light to generate the EPR spectra (magnetophotoselection) we have shown that the intensities of the observed triplet signals are strongly dependent upon the wavelength and polarization direction of the excitation. These data can be used to calculate the orientations of the excited transition moments with respect to each other and with respect to the triplet state principal magnetic axes system. Our quantitative approach is to follow the procedure outlined in a previous publication (Frank, H.A., Friesner, R., Nairn, J.A., Dismukes, G.C. and Sauer, K. (1979) Biochim. Biophys. Acta 547, 484-501) where computer simulations of the observed triplet state spectra were employed. The results presented in the present work indicate that the transition moment at 870 nm which is associated with the bacteriochlorophyll 'special pair' lies almost entirely along one of the principal magnetic axes of the triplet state. Aso, the 870 nm transition moment makes an angle of approx. 60 degrees with the 546 nm transition moment which is associated with a bacteriopheophytin. This latter result is in agreement with previous photoselection studies on the same bacterial species (Vermeglio, A., Breton, J., Paillotin, G. and Cogdell, R. (1978) Biochim. Biophys. Acta 501, 514-530).     

The orientations of transition moments in reaction centers of Rhodopseudomonas sphaeroides, computed from data of linear dichroism and photoselection measurements.

Linear dichroism measurements of reaction centers of Rhodopseudomonas sphaeroides in stretched gelatin films have yielded angles that various optical transition moments make with an axis of symmetry in the reaction center. Photoselection experiments have yielded angles that certain transition moments make with each other. We have combined these data so as to compute the orientations of the Qx and Qy transition moments of the two molecules of bacteriopheophytin and of the bacteriochlorophyll special pair (photochemical electron donor) in the reaction center. Orientations are expressed in spherical polar coordinates with the symmetry axis as the pole. We have also computed additional angles between pairs of transition moments. In this treatment we have assumed that the bacteriopheophytins are independent monomers with little or no exciton coupling.     

Magnetophotoselection of the triplet state of reaction centers from Rhodopseudomonas sphaeroides R-26

Reaction centers of the photosynthetic bacterium Rhodopseudomonas sphaeroides R-26, give rise to large triplet state EPR signals upon illumination at low temperature (11 K). Utilizing monochromatic polarized light to generate the EPR spectra (magnetophotoselection) we have shown that the intensities of the observed triplet signals are strongly dependent upon the wavelength and polarization direction of the excitation. These data can be used to calculate the orientations of the excited transition moments with respect to each other and with respect to the triplet state principal magnetic axes system. Our quantitative approach is to follow the procedure outlined in a previous publication (Frank, H.A., Friesner, R., Nairn, J.A., Dismukes, G.C. and Sauer, K. (1979) Biochim. Biophys. Acta 547, 484–501) where computer simulations of the observed triplet state spectra were employed.The results presented in the present work indicate that the transition moment at 870 nm which is associated with the bacteriochlorophyll ‘special pair’ lies almost entirely along one of the principal magnetic axes of the triplet state. Also, the 870 nm transition moment makes an angle of approx. 60° with the 546 nm transition moment which is associated with a bacteriopheophytin. This latter result is in agreement with previous photoselection studies on the same bacterial species (Vermeglio, A., Breton, J., Paillotin, G. and Cogdell, R. (1978) Biochim. Biophys. Acta 501, 514–530).     

Replacement of bacteriopheophytin in reaction centers from Rhodobacter sphaeroides RS601 with plant pheophytin

In the presence of acetone and an excess of exogenous plant pheophytins,bacteriopheophytins in the reaction centers from Rhodobacter sphaeroides RS601 were replaced by pheophytins at sites HA and HB,when incubated at 43.5℃ for more than 15 min.The substitution of bacteriopheophytins in the reaction centers was 50% and 71% with incubation of 15 and 60 min,respectively.In the absorption spectra of pheophytin-replaced reaction centers (Phe RCs),bands assigned to the transition moments QX (537 nm) and QY (758 nm) of bacteriopheophytin disappeared,and three distinct bands assigned to the transition moments QX (509/542 nm) and QY (674 nm) of pheophytin appeared instead.Compared to that of the control reaction centers,the photochemical activities of Phe RCs are 78% and 71% of control,with the incubation time of 15 and 60 min.Differences might exist between the redox properties of Phe RC and of native reaction centers,but the substitution is significant,and the new system is available for further studies.     

Action of phospholipases A2 on phosphatidylcholine bilayers. Effects of the phase transition, bilayer curvature and structural defects

We examined the action of porcine pancreatic and bee-venom phospholipase A2 towards bilayers of phosphatidylcholine as a function of several physical characteristics of the lipid-water interface. 1. Unsonicated liposomes of dimyristoyl phosphatidylcholine are degraded by both phospholipases in the temperature region of the phase transition only (cf. Op den Kamp et al. (1974) Biochim. Biophys. Acta 345, 253--256 and Op den Kamp et al. (1975) Biochim. Biophys. Acta 406, 169--177). With sonicates the temperature range in which hydrolysis occurs is much wider. This discrepancy between liposomes and sonicates cannot be ascribed entirely to differences in available substrate surface. 2. Below the phase-transition temperature the phospholipases degrade dimyristoyl phosphatidylcholine single-bilayer vesicles with a strongly curved surface much more effectively than larger single-bilayer vesicles with a relatively low degree of curvature. 3. Vesicles composed of egg phosphatidylcholine can be degraded by pancreatic phospholipase A2 at 37 degrees C, provided that the substrate bilayer is strongly curved. The bee-venom enzyme shows a similar, but less pronounced, preference for small substrate vesicles. 4. In a limited temperature region just above the transition temperature of the substrate the action of both phospholipases initially proceeds with a gradually increasing velocity. This stimulation is presumably due to an increase of the transition temperature, effectuated by the products of the phospholipase action. 5. Structural defects in the substrate bilayer, introduced by sonication below the phase-transition temperature (cf. Lawaczeck et al. (1976) Biochim. Biophys. Acta 443, 313--330) facilitate the action of both phospholipases. The results lead to the general conclusion that structural irregularities in the packing of the substrate molecules facilitate the action of phospholipases A2 on phosphatidylcholine bilayers. Within the phase transition and with bilayers containing structural defects these irregularities represent boundaries between separate lipid domains. The stimulatory effect of strong bilayer curvature can be ascribed to an overall perturbation of the lipid packing as well as to a change in the phase-transition temperature.     

Orientation and linear dichroism of Mastigocladus laminosus phycocyanin trimer and Nostoc sp. phycocyanin dodecamer in stretched poly(vinyl alcohol) films

The linear dichroism (LD) spectra of the C-phycocyanin (C-PC) trimer disks oriented in poly(vinyl alcohol) films (PVA) at room temperature and at 95 K were determined. Utilizing the known atomic coordinates of the chromophores (Schirmer, T., Bode, W. and Huber, R. (1987) J. Mol. Biol. 196, 677-695) and theoretical estimates of the orientations of the transition dipole moments relative to the molecular framework, the LD spectra were simulated using the pairwise exciton interaction model of Sauer and Scheer (Biochim. Biophys. Acta 936 (1988) 157-170); in this model, the alpha 84 and beta 84 transition moments are coupled by an exciton mechanism, while the beta 155 chromophore remains uncoupled. Linear dichroism spectra calculated using this exciton model, as well as an uncoupled chromophore (molecular) model, were compared with experimental LD spectra. Satisfactory qualitative agreement can be obtained in both the exciton and molecular models using somewhat different relative values of the theoretically estimated magnitudes of the beta 155 oscillator strength. Because the relative contributions of each of the chromophores (and thus exciton components) to the overall absorption of the C-PC trimer are not known exactly, it is difficult to differentiate successfully between the molecular and exciton models at this time. The linear dichroism spectra of PC dodecamers derived from phycobilisomes of Nostoc sp. oriented in stretched PVA films closely resemble those of the C-PC trimers from Mastigocladus laminosus, suggesting that the phycocyanin chromophores are oriented in a similar manner in both cases, and that neither linker polypeptides nor the state of aggregation have a significant influence on these orientations and linear dichroism spectra. The LD spectra of oriented phycocyanins in stretched PVA films at low temperatures (95 K) appear to be of similar quality and magnitude as the LD spectra of single C-PC crystals (Schirmer, T. and Vincent, M.G. (1987) Biochim. Biophys. Acta 893, 379-385).     

Orientation of chromophores in reaction centers of Rhodopseudomonas sphaeroides: a photoselection study.

The relative orientation of the pigments of reaction centers from Rhodopseudomonas sphaeroides has been studied by the photoselection technique. A high value (+0.45) of p=(delta AV--delta AH)/(delta AV + delta AH) is obtained when exciting and observing within the 870 nm band which is contradictory to the results of Mar and Gingras (Mar, T. and Gringras, G. (1976) Biochim. Biophys. Acta 440, 609-621) and Shuvalov et al. (Shuvalov, V.A., Asadov, A.A. and Krakhmaleva, I.N. (1977) FEBS Lett. 16, 240-245). It is shown that the low values of p obtained by both groups were erroneous due to excitation conditions. Analysis of the polarization of light-induced changes when exciting with polarized light in single transitions (spheroiden band and bacteriopheophytin Qx bands) enable us to propose a possible arrangement of the pigments within the reaction center. It is concluded that the 870 nm band corresponds to a single transition and is one of the two bands of the primary electron donor (P-870). The second band of the bacteriochlorophyll dimer is centered at 805 nm. The Qx transitions of the molecules constituting the bacteriochlorophyll dimer are nearly parallel (angle less than 25 degrees). The two bacteriopheophytin molecules present slightly different absorption spectra in the near infra-red. Both bacteriopheophytin absorption bands are subject to a small shift under illumination. The angle between the Qy bacteriopheophytin transitions is 55 degrees or 125 degrees. Both Qy transitions are nearly perpendicular to the 870 nm absorption band. Finally, the carotenoid molecules makes an angle greater than 70 degrees with the 870 nm band and the other bacteriochlorophyll molecules.     

Orientation of the protonated retinal Schiff base group in bacteriorhodopsin from absorption linear dichroism.

Linear dichroism experiments are performed on light-adapted bacteriorhodopsin (BR568) films containing native retinal (A1) and its 3,4-dehydroretinal (A2) analogue to measure the angle between the chromophore transition dipole moment and the membrane normal. QCFF/pi calculations show that the angle between the transition moment and the long axis of the polyene is changed by 3.4 degrees when the C3-C4 bond is unsaturated. The difference vector between the two transition moments points in the same direction as the Schiff base (N----H) bond for the all-trans BR568 chromophore. Because the plane of the chromophore is perpendicular to the membrane plane, a comparison of the transition moment orientations in the A1- and A2-pigments enables us to determine the orientation of the N----H bond with respect to the absolute chromophore (N----C5 vector) orientation. The angles of the transition moments are 70.3 degrees +/- 0.4 degrees and 67.8 degrees +/- 0.4 degrees for the A1- and A2-pigments, respectively. The fact that the change in the transition moment angle (2.5 degrees) is close to the predicted 3.4 degrees supports the idea that the chromophore plane is nearly perpendicular to the membrane plane. The decreased transition moment angle in the A2-analogue requires that the N----H bond and the N----C5 vector point toward the same membrane surface. Available results indicate that the N----C5 vector points toward the exterior in BR568. With this assignment, we conclude that the N----H bond points toward the exterior surface and its most likely counterion Asp-212. This information makes possible the construction of a computer graphics model for the active site in BR568.     

Orientation of reaction center and antenna chromophores in the photosynthetic membrane of rhodopseudomonas viridis

Whole cells of Rhodopseudomonas viridis were oriented in a magnetic field. The degree of orientation of the cells was determined by using a photoselection technique. In order to deduce the orientation of the antennae and chromophores of the reaction centers with respect to the membrane plane, we performed linear dichroism measurements of absolute spectra and light induced difference spectra linked to states P⁺I and PI^? on oriented cells. These measurements lead to the following conclusions:The antennae bacteriochlorophyll molecular plane is nearly perpendicular to the membrane. The Q_y and Q_x transitions moments of these molecules make respectively angles of 20 and 70°ith the membrane plane. The antenna carotenoid molecules make an angle of 45°ith the membrane.The primary electron donor possesses two transition moments centered respectively at 970 and 850 nm. The 970 nm transition moment is parallel to the membrane plane, the 850 nm transition is tilted out of the plane. Upon photooxidation of this primary electron donor, a monomer-like absorption band appears at 805 nm. Its transition makes an angle smaller than 25° with the membrane. The photooxidation of the dimer also induces an absorption band shift for the two other bacteriochlorophyll molecules of the reaction center. The absorption band shifts of the two bacteriochlorophyll molecules occur in opposite direction.One bacteriopheophytin molecule is photoreduced in state PI^?. This photoreduction induces an absorption band shift for only one bacteriochlorophyll molecule. Finally, the geometry of the dimeric primary donor seems to be affected by the presence of a negative charge in the reaction center.     

Orientation of non-blue cupric complexes on DNA fibers.

Three different orientations of non-blue, type 2 cupric complexes on DNA fibers are obtained from EPR data. The cupric complex of bleomycin, CuBlm, binds as described previously (Shields, H., McGlumphy,C., and Hamrick, P., J., Jr. (1982) Biochim. Biophys. Acta 697, 113-120), except possibly with more restricted motion. The square plane of CuBlm makes an angle of about 65 degrees with the fiber axis. The tridentate complex 2-formylpyridine monothiosemicarbazonato Cu2+ binds with its planar structure perpendicular to the fiber axis. In contrast, other tridentate cupric complexes of tripeptides, CuGHK and CuGHG, bind with the square plane parallel to the fiber axis. The bound forms of Cu(GHK) and Cu(GHG) are determined mostly by the GH moiety in the complex; the contribution of lysine in defining the orientation of the copper moiety is minimal. Thus, the structure of the ligand determines the orientation of these complexes on DNA.     

Circular dichroism of carotenoids in bacterial light-harvesting complexes: experiments and modeling

In this work we investigate the origin and characteristics of the circular dichroism (CD) spectrum of rhodopin glucoside and lycopene in the light-harvesting 2 complex of Rhodopseudomonas acidophila and Rhodospirillum molischianum, respectively. We successfully model their absorption and CD spectra based on the high-resolution structures. We assume that these spectra originate from seven interacting transition dipole moments: the first corresponds to the 0-0 transition of the carotenoid, whereas the remaining six represent higher vibronic components of the S2 state. From the absorption spectra we get an estimate of the Franck-Condon factors of these transitions. Furthermore, we investigate the broadening mechanisms that lead to the final shape of the spectra and get an insight into the interaction energy between carotenoids. Finally, we examine the consequences of rotations of the carotenoid transition dipole moment and of deformations in the light-harvesting 2 complex rings. Comparison of the modeled carotenoid spectra with modeled spectra of the bacteriochlorophyll QY region leads to a refinement of the modeling procedure and an improvement of all calculated results. We therefore propose that the combined carotenoid and bacteriochlorophyll CD can be used as an accurate reflection of the overall structure of the light-harvesting complexes.     

Purification and characterization of (Na+ + K+)-ATPase from toad kidney.

This report describes the partial purification and the characteristics of (Na+ + K+)-ATPase (ATP phosphohydrolase, EC 3.6.1.3) from an amphibian source. Toad kidney microsomes were solubilized with sodium deoxycholate and further purified by sodium dodecyl sulphate treatment and sucrose gradient centrifugation, according to the methods described by Lane et al. [(1973) J. Biol. Chem. 248, 7197--7200], J?rgensen [(1974) Biochim. Biophys. Acta 356, 36--52] and Hayashi et al. [(1977) Biochim. Biophys. Acta 482, 185--196]. (Na+ + K+)-ATPase preparations with specific activities up to 1000 mumol Pi/mg protein per h were obtained. Mg2+-ATPase only accounted for about 2% of the total ATPase activity. Sodium dodecyl sulphate-polyacrylamide gel electrophoresis revealed three major protein bands with molecular weights of 116 000, 62 000 and 26 000. The 116 000 dalton protein was phosphorylated by [gamma-32P]ATP in the presence of sodium but not in the presence of potassium. The 62 000 dalton component stained for glycoproteins. The Km for ATP was 0.40 mM, for Na+ 12.29 mM and for K+ 1.14 mM. The Ki for ouabain was 35 micron. Temperature activation curves showed two activity peaks at 37 degrees C and at 50 degrees C. The break in the Arrhenius plot of activity versus temperature appeared at 15 degrees C.     

Magnetic field-induced increase of the yield of (bacterio)chlorophyll emission of some photosynthetic bacteria and of Chlorella vulgaris.

In photosynthetic bacteria, in which the iron-ubiquinone complex X is prereduced, a magnetic field induces an increase of the emmission yield, which is correlated with the decrease in reaction center triplet yield reported previously (Hoff, A.J., Rademaker, H., van Grondelle, R. and Duysens, L.N.M. (1977) Biochim. Biophys. Acta 460, 547--554). Our results support the hypothesis that under these conditions charge recombination of the oxidized primary donor and the reduced primary acceptor predominantly generates the excited singlet state of the reaction center bacteriochlorophyll. In Chlorella vulgaris and spinach chloroplasts, at 120 K, the magnetic field has an effect similar to that found in bacteria, which suggests that an intermediary electron acceptor between P-680 and Q is present in Photosystem II also.     

Conformational analysis of phosphatidylethanol-amine in multilayers by infrared dichroism.

Built-up films of L-alpha-dipalmitoyl phosphatidylethanolamine were prepared. Infrared dichroism was measured for the sample and analysed by a new method. This method has been developed for the determination of the directions of transition moments in a film sample, in which there is an axis of symmetry of perpendicular to the film plane. The directions of transition moments were determined for the six vibrations assigned to the CH2 antisymmetric stretching, CH2 symmetric stretching, CH2 scissoring, C=O stretching, PO2- antisymmetric stretching, and C-C-N+ antisymmetric stretching modes. The results indicate that hydrocarbon chains are inclined at about 75 degrees to the film plane and the polar groups orient parallel to the plane in the builtup film. A structural model of the phosphatidylethanolamine in the built-up film is proposed.     

Calculation of spectra of absorption and circular dichroism of Rhodopseudomonas acidophila light harvesting complexes based on roentgen structural data

Absorption and circular dichroism spectra of two forms of the peripheral light-harvesting complex from photosynthetic purple bacteria Rhodopseudomonas acidophila were calculated. Calculations were carried out on the basis of exciton theory for circular aggregates of bacteriochlorophyll molecules and X-ray data for these forms of the complex. It was shown that theoretical spectra fit well experimental ones at the same values of excitation energy, homogeneous and inhomogeneous broadening, and bandwidth for all bacteriochlorophyll molecules of complexes. To approximate the circular dichroism spectra of complexes, it was necessary to change the orientations and the values of the moments of transition of Qy molecules relative to their orientation determined on the basis of X-ray structure analysis data.     

Disordered exciton model for the core light-harvesting antenna of Rhodopseudomonas viridis.

In this work we explain the spectral heterogeneity of the absorption band (. Biochim. Biophys. Acta. 1229:373-380), as well as the spectral evolution of pump-probe spectra for membranes of Rhodopseudomonas (Rps.) viridis. We propose an exciton model for the LH1 antenna of Rps. viridis and assume that LH1 consists of 24-32 strongly coupled BChl b molecules that form a ring-like structure with a 12- or 16-fold symmetry. The orientations and pigment-pigment distances of the BChls were taken to be the same as for the LH2 complexes of BChl a-containing bacteria. The model gave an excellent fit to the experimental results. The amount of energetic disorder necessary to explain the results could be precisely estimated and gave a value of 440-545 cm(-1) (full width at half-maximum) at low temperature and 550-620 cm(-1) at room temperature. Within the context of the model we calculated the coherence length of the steady-state exciton wavepacket to correspond to a delocalization over 5-10 BChl molecules at low temperature and over 4-6 molecules at room temperature. Possible origins of the fast electronic dephasing and the observed long-lived vibrational coherence are discussed.     

Kinetics of phospholipid exchange between bilayer membranes.

In an accompanying publication by Duckwitz-Peterlein, Eilenberger and Overath ((1977) Biochim. Biophys. Acta 469,311--325) it is shown that the exchange of lipid molecules between negatively charged vesicles consisting of total phospholipid extracts from Escherichia coli occurs by the transfer of single lipid monomers or small micelles through the water. Here a kinetic interpretation is presented in terms of a rate constant, k--, for the escape of lipid molecules from the vesicle bilayer into the water. The evaluated rate constants are kP- = (0.86 +/- 0.05) - 10(-5) S-1 and ke- = (1.09 +/- 0.13) - 10(-6) s-1 for phospholipid molecules with trans-delta 9-hexadecenoate and trans-delta 9-octadecenoate, respectively, as the predominant acyl chain component. The rate constants are discussed in terms of the acyl chain and polar head group composition of the lipids.     

Steady-state kinetics of laccasse from Rhus vernicifera.

The steady-state kinetics of laccasse (monophenol, dihydroxyphenylalanine: oxygen oxidoreductase, EC 1.14.18.1) from the lacquer tree Rhus vernicifera is investigated using the respirograph method to produce Lineweaver-Burk plots of oxygen consumption rate against oxygen concentration. A ping-pong mechanisms is established. The kinetic constants obtained according to the model is in close agreement with the corresponding values obtained from earlier studies on the transient reactions between the reduced enzyme and oxygen (Andréasson, L.E., Br?ndén, R. and Reinhammar, B. (1976) Biochim. Biophys. Acta 438, 370--379) and between the oxidized enzyme and reducing substrates (Andréasson, L.E. and Reinhammar, B. (1976) Biochim. Biophys. Acta 445, 579--597).     

Infrared dichroism from the X-ray structure of bacteriorhodopsin

A detailed comparison with the three-dimensional protein structure provides a stringent test of the models and parameters commonly used in determining the orientation of the alpha-helices from the linear dichroism of the infrared amide bands, particularly in membranes. The order parameters of the amide vibrational transition moments are calculated for the transmembrane alpha-helices of bacteriorhodopsin by using the crystal structure determined at a resolution of 1.55 A (PDB accession number 1C3W). The dependence on the angle delta(M) that the transition moment makes with the peptide carbonyl bond is fit by the expression ((3)/(2)S(alpha) cos(2) alpha)cos(2)(delta(M) + beta) - 1/2S(alpha), where S(alpha) (0.91) is the order parameter of the alpha-helices, alpha (13 degrees ) is the angle that the peptide plane makes with the helix axis, and beta (11 degrees ) is the angle that the peptide carbonyl bond makes with the projection of the helix axis on the peptide plane. This result is fully consistent with the model of nested axial distributions commonly used in interpreting infrared linear dichroism of proteins. Comparison with experimental infrared dichroic ratios for bacteriorhodopsin yields values of Theta(A) = 33 +/- 1 degree, Theta(I) = 39.5 +/- 1 degree, and Theta(II) = 70 +/- 2 degrees for the orientation of the transition moments of the amide A, amide I, and amide II bands, respectively, relative to the helix axis. These estimates are close to those found for model alpha-helical polypeptides, indicating that side-chain heterogeneity and slight helix imperfections are unlikely to affect the reliability of infrared measurements of helix orientations.