The mechanism of reaction of ferricyanide-pretreated mixed-valence-state membrane-bound cytochrome oxidase with oxygen at 173 K.

1. The results of non-linear optimization studies on the mechanism of reaction of ferricyanide-pretreated mixed-valence-state cytochrome oxidase with O2 at 173 K are presented. The analysis is carried out on data obtained by means of dual-wavelength multi-channel spectroscopy at four wavelength pairs (444-463 nm, 604-630 nm, 608-630 nm and 830-940 nm) and at two O2 concentrations (360 micron and 520 micron). The only model that satisfies the triple requirement of a standard deviation within the standard error of the experimental data, a random distribution of residuals and good determination of the optimized parameters, is a three-intermediate sequential mechanism. 2. On the basis of the optimized values of the relative absorption coefficients of the intermediates at each wavelength obtained from the present paper together with data from optical wavelength scanning and e.p.r. spectroscopy obtained by low-temperature trapping studies, the possible valence states of the metal centres in each of the intermediates are discussed.     

The mechanism of reaction of fully reduced membrane-bound cytochrome oxidase with oxygen at 176K.

1. The results of non-linear optimization studies on the mechanism of reaction of fully reduced cytochrome oxidase with O2 at 176K are presented. The analysis is carried out on data obtained by means of dual-wavelength multi-channel spectroscopy at three wavelength pairs (604-630, 608-630 and 830-940 nm) and at three O2 concentrations (60, 200 and 1180 micron). The only model that satisfies the triple requirement of a standard deviation within the standard error of the experimental data, good determination of the optimized parameters and a random distribution of residuals is a three-species sequential mechanism. 2. On the basis of the optimized values of the relative absorption coefficients of the intermediates at each wavelength obtained from the present paper together with data from low-temperature trapping, e.p.r. and magnetic-susceptibility studies, the possible valence states of the metal centres in each of the intermediates are discussed.     

The kinetics and thermodynamics of the reaction of solid-state fully reduced membrane-bound cytochrome oxidase with carbon monoxide as studied by dual-wavelength multichannel spectroscopy and flash photolysis.

1. The results of non-linear optimization studies on the mechanism of reaction of solid-state fully reduced membrane-bound cytochrome oxidase with CO over the 178--203 K range are presented. The analysis is carried out on data obtained by dual-wavelength multichannel spectroscopy at three wavelength pairs (444--463 nm, 590--630 nm and 608--630 nm), which yield three distinct progress curves. The only model that satisfies the triple requirement of a standard deviation within the standard error of the data, a random distribution of residuals and good determination of the optimized parameters is a two-species sequential mechanism: flash photolysis yields unliganded cytochrome oxidase and free CO, which then recombine to form species Ic; Ic is then converted into species IIc, which is identical with the cytochrome oxidase-CO complex existing before flash photolysis. All the thermodynamic parameters describing this model are calculated. 2. On the basis of the data obtained from this paper, together with data from potentiometric studies, magnetic susceptibility measurements and i.r. spectroscopy, the chemical identity of the species is suggested.     

A re-evaluation of the low-temperature kinetics of the reaction of fully reduced mitochondrial cytochrome oxidase with carbon monoxide and the spectral characterization of species Ic in the Soret and visible regions

The kinetics of the reaction of fully reduced membrane bound cytochrome oxidase with CO following photolysis of the fully reduced cytochrome oxidase-CO complex habe been re-examined by re-analysing the data of Clore and Chance (1978) Biochem. J. 175, 709-725) at six temperatures in the 178-203 K range simultaneously at only a single wavelength pair, 444-463 nm. The choice of the 444-463 nm wavelength pair was based on the fact that the absorbance change produced at 444-463 nm on photolysis of the CO complex is sufficiently large and the separation between monitoring and reference wavelengths sufficiently small to render the effects of any possible time dependent scattering changes insignificant. On the basis of our analysis only a two step mechanism (Model 1 of Clore and Chance (1978) Biochem. J. 175, 709-725) satisfies the triple requirement of a S.D. within the standard error of the data, a random distribution of residuals and good determination of the optimized parameters. The single step mechanism of De Fonseka and Chance (1978) Biochem. J. 175, 1137-1138) fails to satisfy all three requirements. The pure difference spectra of species Ic minus E, E minus IIc and Ic minus IIc are calculated from the computed kinetics of the individual species and repetitive slow wavelength scanning difference spectra (reaction sample minus the CO complex) taken during the course of the reaction of fully reduced cytochrome oxidase with CO at 176 K.     

Differential effects of temperature and hydrostatic pressure on the formation of quinonoid intermediates from L-Trp and L-Met by H463F mutant Escherichia coli tryptophan indole-lyase

Escherichia coli tryptophan indole-lyase (Trpase) is a bacterial pyridoxal 5'-phosphate (PLP)-dependent enzyme which catalyzes the reversible beta-elimination of l-Trp to give indole and ammonium pyruvate. H463F mutant E. coli Trpase (H463F Trpase) has very low activity with l-Trp, but it has near wild-type activity with other in vitro substrates, such as S-ethyl-l-cysteine and S-(o-nitrophenyl)-l-cysteine [Phillips, R. S., Johnson, N., and Kamath, A. V. (2002) Formation in vitro of Hybrid Dimers of H463F and Y74F Mutant Escherichia coli Tryptophan Indole-lyase Rescues Activity with l-Tryptophan, Biochemistry 41, 4012-4019]. The interaction of H463F Trpase with l-Trp and l-Met, a competitive inhibitor, has been investigated by rapid-scanning stopped-flow, high-pressure, and pressure jump spectrophotometry. Both l-Trp and l-Met bind to H463F Trpase to form equilibrating mixtures of external aldimine and quinonoid intermediates, absorbing at approximately 420 and approximately 505 nm, respectively. The apparent rate constant for quinonoid intermediate formation exhibits a hyperbolic dependence on l-Trp and l-Met concentration. The rate constant for quinonoid intermediate formation from l-Trp is approximately 10-fold lower for H463F Trpase than for wild-type Trpase, but the rate constant for reaction of l-Met is similar for H463F Trpase and wild-type Trpase. The temperature dependence of the rate constants for quinonoid intermediate formation reveals that both l-Trp and l-Met have similar values of DeltaH(++), but l-Met has a more negative value of DeltaS(++). Hydrostatic pressure perturbs the spectra of the H463F l-Trp and l-Met complexes, by shifting the position of the equilibria between different quinonoid and external aldimine complexes. Pressure-jump experiments show relaxations at 500 nm after rapid pressure changes of 100-400 bar with both l-Trp and l-Met. The apparent rate constants for relaxation of l-Trp, but not l-Met, show a significant increase with pressure. From these data, the value of DeltaV(++) for quinonoid intermediate formation from the external aldimine of l-Trp can be estimated to be -26.5 mL/mol, a larger than expected negative value for a proton transfer. These results suggest that there may be a contribution to the deprotonation reaction either from quantum mechanical tunneling or from a mechanical coupling of protein motion and proton transfer associated with the reaction of l-Trp, but not with l-Met.     

Characterization of the intermediates in the reaction of mixed-valence state soluble cytochrome oxidase with oxygen at low temperatures by optical and electron-paramagnetic-resonance spectroscopy.

The reaction of soluble mixed-valence-state (a3+CuA 2+.CuB + A32+) cytochrome oxidase with O2 at low temperature was studied by optical and e.p.r. spectroscopy. The existence of three intermediates [Clore & Chance (1978) Biochem. J. 173, 799-8101] was confirmed. From the e.p.r data it is clear that cytochrome a and CuA remain in the low-spin ferric and cupric states respectively throughout the reaction. No e.p.r. signals attributable to cytochrome a3 or CuB were seen in the intermediates. The difference spectra (intermediates minus unliganded mixed-valence-state cytochrome oxidase) and absolute spectra of the three intermediates were obtained. The chemcal nature of the three intermediates is discussed in terms of their spectroscopic properties. A catalytic cycle for cytochrome oxidase is proposed.     

CO binding to mitochondrial mixed valence state cytochrome oxidase at low temperatures

The kinetics and thermodynamics of the reaction of mixed valence state membrane-bound cytochrome oxidase with CO over the 178-203 K range has been studied by multichannel optical spectroscopy at three wavelength pairs (444-463 nm in the Soret region, and 590-630 and 608-630 nm in the alpha region) and analysed by non-linear optimization techniques. As in the case of the fully reduced membrane-bound cytochrome oxidase-CO reaction (Clore, G.M. and Chance, E.M. (1978) Biochem J. 175, 709-725), the normalized progress curves at the three wavelength pairs are significantly different indicating, on the basis of Beer's law, the presence of a minimum of three optically distinct species. The only model that satisfies the triple statistical requirement of a standard deviation within the standard error of the data, a random distribution of residuals and good determination of the optimized parameters, is a two species sequential mechanism: flash photolysis of the mixed valence state cytochrome oxidase-CO complex (species IIMC) yields unliganded mixed valence state cytochrome oxidase (species EM) and free CO which then recombine to form species IMC; species IMC is then converted into species IIMC. All the thermodynamic parameters describing the model are calculated and compared to those obtained for the fully reduced membrane-bound cytochrome oxidase-CO reaction (Clore and Chance (1978) Biochem. J. 175, 709-725). Although there are some qualitative similarities in the kinetics and thermodynamics of the reactions of mixed valence state (alpha 23+Cu+B.ALPHA 3+Cu2+A) and fully reduced (a3 2+Cu B + . a2+Cu A+) cytochrome oxidase with CO, there are large and significant quantitative differences in zero-point activation energies and frequency factors; over the temperature range studied, the mixed valence state cytochrome oxidase-CO reaction is found to proceed at a significantly slower rate than the fully reduced cytochrome oxidase-CO reaction. These differences indicate that changing the valence states of cytochrome a and CuA has a significant effect on the CO binding properties of cytochrome a 3 and possibly CuB.     

Photosynthetic units of sun and shade plants

A computer analysis of fluorescence induction curves of leaves treated with 3-(3,4-dichlorophenyl)-1,1 dimethylurea was done for several species. These measurements gave the ratios of the total chlorophyll to photosystem II reaction centers. This communication is a preliminary survey of sun and shade plants and demonstrates a significant variation in this ratio. In the sun plants, the photosynthetic unit sizes (chlorophyll reaction centers) varied between 220 to 480. The shade plants gave numbers mostly in the range between 630 to 940. The computer analysis of the fluorescence data also gave the connectivity parameter of energy transfer between photosynthetic units of photosystem II which varied between 0.2 and 0.5 but did not show any obvious correlation to the photosynthetic unit size.     

Flash photometric experiments on the photochemical cycle of bacteriorhodopsin

The photochemical reaction cycle of bacteriorhodopsin was investigated by means of flash photometric methods. Three different intermediates with absorption maxima at about 630 nm, 411 nm, and 646 nm could be detected. Kinetic data of the occurrence of these intermediates were obtained from isolated purple membrane in different mediums and from intact halobacteria. An activation energy of 14.1±0.4 kcal·mol⁻¹ and of about 19 kcal·mol⁻¹ for the formation of bacteriorhodopsin 411 and of bacteriorhodopsin 565, resp., was calculated. pH-changes in the medium caused by the reaction cycle of bacteriorhodopsin were detected by use of the pH-indicator bromocresol green.     

New intermediates in the photochemical transformation of rhodopsin

The conditions of preferential accumulation of intermediates of the photochemical reaction cycle of bacteriorhodopsin (BR) P550 and P419 at low temperature are found. Upon illumination P550 and P419 undergo photochemical conversions into the light-adapted form of BR (P570), forming during this conversions a number of new intermediates: P550 leads to P560-- -- -- leads to P570; P419 leads to P421-- -- -- leads to P565-- -- -- leads to P585-- -- -- leads to P570; P419 leads to P470-- -- -- leads to P570. All intermediates are photoactive. All light reactions are photoreversible and give formation to the products with absorption maximum shifted to the red as compared to the initial state. The absorption spectra of intermediates are complex and include several bands which are more pronounced in the spectrum of P419 (maxima at 442, 419, 398 nm, a shoulder at 375 nm) and P421, less in the spectrum of P570 (maximum at 578 nm, shoulders at 540 and 608 nm) and others.     

A resonance Raman study on the reaction intermediates of D-amino acid oxidase

Resonance Raman (RR) spectra of two reaction intermediates of D-amino acid oxidase with substrate analogs were obtained. The reaction intermediates studied were (1) the one in the aerobic oxidative reaction of the enzyme with beta-cyano-D-alanine and (2) the other in the reverse reductive reaction of the enzyme with chloropyruvate and ammonium. Both intermediates are characterized with the charge transfer absorption bands in the long wavelength region extending beyond 600 nm. The RR spectra of the two intermediates excited at 488.0 or 514.5 nm are those of oxidized flavin, which is consistent with our previous assumption that oxidized flavin is involved in these reaction intermediates. Relatively simple RR spectra were obtained for these intermediates with excitation at 632.8 nm which is within the region of the charge transfer bands. The resonance enhancement for the Raman lines around 1585 and 1350 cm-1 for either of the intermediates with excitation in the region of the charge transfer bands suggests that the charge transfer interaction involves the N(5)-C(4a) region extending to the C(10a)-N(1)-C(2) region of the isoalloxazine nucleus. The Raman line at 1657 cm-1 for the intermediate with chloropyruvate and ammonium was assigned to C = N of an imino acid from the isotopic frequency shift upon 15N-substitution. The assignment substantiates our previous conclusion that the intermediate involves an imino acid, alpha-imino-beta-chloropropionate.     

Formation of the "peroxy" intermediate in cytochrome c oxidase is associated with internal proton/hydrogen transfer

When dioxygen is reduced to water by cytochrome c oxidase a sequence of oxygen intermediates are formed at the reaction site. One of these intermediates is called the "peroxy" (P) intermediate. It can be formed by reacting the two-electron reduced (mixed-valence) cytochrome c oxidase with dioxygen (called P(m)), but it is also formed transiently during the reaction of the fully reduced enzyme with oxygen (called P(r)). In recent years, evidence has accumulated to suggest that the O-O bond is cleaved in the P intermediate and that the heme a(3) iron is in the oxo-ferryl state. In this study, we have investigated the kinetic and thermodynamic parameters for formation of P(m) and P(r), respectively, in the Rhodobacter sphaeroides enzyme. The rate constants and activation energies for the formation of the P(r) and P(m) intermediates were 1.4 x 10(4) s(-1) ( approximately 20 kJ/mol) and 3 x 10(3) s(-1) ( approximately 24 kJ/mol), respectively. The formation rates of both P intermediates were independent of pH in the range 6.5-9, and there was no proton uptake from solution during P formation. Nevertheless, formation of both P(m) and P(r) were slowed by a factor of 1.4-1.9 in D(2)O, which suggests that transfer of an internal proton or hydrogen atom is involved in the rate-limiting step of P formation. We discuss the origin of the difference in the formation rates of the P(m) and P(r) intermediates, the formation mechanisms of P(m)/P(r), and the involvement of these intermediates in proton pumping.     

An investigation of the thermal unfolding of swine pepsinogen using circular dichroism.

The thermal unfolding of swine pepsinogen is investigated using circular dichroism (CD) in the pH range 6-9. CD spectra and single wavelength melting curves are analyzed to show the presence of two resolvable transitions. Analysis of difference CD spectra by the method of singular value decomposition indicates that the changes in conformation are distinct in the two transitions. Single wavelength melting curves show that only one of the transitions has a strong pH dependence. The results are discussed in terms of earlier kinetic and calorimetric data to suggest the presence of one or more intermediates in the reaction.     

Residue Leu940 Has a Crucial Role in the Linkage and Reaction Specificity of the Glucansucrase GTF180 of the Probiotic Bacterium Lactobacillus reuteri 180

Highly conserved glycoside hydrolase family 70 glucansucrases are able to catalyze the synthesis of α-glucans with different structure from sucrose. The structural determinants of glucansucrase specificity have remained unclear. Residue Leu⁹⁴⁰ in domain B of GTF180, the glucansucrase of the probiotic bacterium Lactobacillus reuteri 180, was shown to vary in different glucansucrases and is close to the +1 glucosyl unit in the crystal structure of GTF180-ΔN in complex with maltose. Herein, we show that mutations in Leu⁹⁴⁰ of wild-type GTF180-ΔN all caused an increased percentage of (α1→6) linkages and a decreased percentage of (α1→3) linkages in the products. α-Glucans with potential different physicochemical properties (containing 67–100% of (α1→6) linkages) were produced by GTF180 and its Leu⁹⁴⁰ mutants. Mutant L940W was unable to form (α1→3) linkages and synthesized a smaller and linear glucan polysaccharide with only (α1→6) linkages. Docking studies revealed that the introduction of the large aromatic amino acid residue tryptophan at position 940 partially blocked the binding groove, preventing the isomalto-oligosaccharide acceptor to bind in an favorable orientation for the formation of (α1→3) linkages. Our data showed that the reaction specificity of GTF180 mutant was shifted either to increased polysaccharide synthesis (L940A, L940S, L940E, and L940F) or increased oligosaccharide synthesis (L940W). The L940W mutant is capable of producing a large amount of isomalto-oligosaccharides using released glucose from sucrose as acceptors. Thus, residue Leu⁹⁴⁰ in domain B is crucial for linkage and reaction specificity of GTF180. This study provides clear and novel insights into the structure-function relationships of glucansucrase enzymes.     

Formation in vitro of hybrid dimers of H463F and Y74F mutant Escherichia coli tryptophan indole-lyase rescues activity with L-tryptophan

Y74F and H463F mutant forms of Escherichia coli tryptophan indole-lyase (Trpase) have been prepared. These mutant proteins have very low activity with L-Trp as substrate (kcat and kcat/Km values less than 0.1% of wild-type Trpase). In contrast, these mutant enzymes exhibit much higher activity with S-(o-nitrophenyl)-L-cysteine and S-ethyl-L-cysteine (kcat/Km values about 1-50% of wild-type Trpase). Thus, Tyr-74 and His-463 are important for the substrate specificity of Trpase for L-Trp. H463F Trpase is not inhibited by a potent inhibitor of wild-type Trpase, oxindolyl-L-alanine, and does not exhibit the pK(a) of 6.0 seen in previous pH dependence studies [Kiick, D. M., and Phillips, R. S. (1988) Biochemistry 27, 7333]. These results suggest that His-463 may be the catalytic base with a pK(a) of 6.0 and Tyr-74 may be a general acid catalyst for the elimination step, as we found previously with tyrosine phenol-lyase [Chen, H., Demidkina, T. V., and Phillips, R. S. (1995) Biochemistry 34, 12776]. H463F Trpase reacts with L-Trp and S-ethyl-L-cysteine in rapid-scanning stopped-flow experiments to form equilibrating mixtures of external aldimine and quinonoid intermediates, similar to those observed with wild-type Trpase. In contrast to the results with wild-type Trpase, the addition of benzimidazole to reactions of H463F Trpase with L-Trp does not result in the formation of an aminoacrylate intermediate. However, addition of benzimidazole with S-ethyl-L-cysteine results in the formation of an aminoacrylate intermediate, with lambda(max) at 345 nm, as was seen previously with wild-type Trpase [Phillips, R. S. (1991) Biochemistry 30, 5927]. This suggests that His-463 plays a specific role in the elimination step of the reaction of L-Trp. Refolding of equimolar mixtures of H463F and Y74F Trpase after unfolding in 4 M guanidine hydrochloride results in a dramatic increase in activity with L-Trp, indicating the formation of a hybrid H463F/Y74F dimer with one normal active site.     

Synthesis and evaluation of cytotoxic activities of new guanidines derived from carbazoles

Several new alkylguanidines derived from carbazole have been synthesized in a simple one-pot reaction starting from 3-aminocarbazole derivatives. The aminocarbazoles were reacted with ethoxycarbonylisothiocyanate, to give thiourea intermediates, followed by the addition of an alkylamine and HgCl₂ to give ethoxycarbonylguanidine intermediates. The reaction mixture was then heated at 160 °C to give the N-(1,4-dimethyl-9H-carbazol-3-yl)-N′-alkylguanidines.The cytotoxic activity of all the synthesized guanidines was evaluated against different cell lines.     

Resolution of two compound C-type intermediates in the reaction with oxygen of mixed-valence state membrane-bound cytochrome oxidase

The reaction of mixed-valence state membrane-bound cytochrome oxidase with oxygen has been studied by difference spectroscopy with reference to the unliganded state and by the low temperature technique of Chance and coworkers. Three intermediates, compound A2 and two compound C-type components denoted C606 and C610, have been resolved in time and wavelength in the alpha region. Their optical properties are defined in the visible range. Compound A2 disappearance and compound C606 formation exhibit first-order kinetics with identical rate constants: 2.4 . 10(-3) s-1 at -94 degrees C. Compound A2 has its alpha band maximum at 590 nm and shares an isosbestic point at 595 nm with the C606 species. The alpha band of this intermediate peaks at 606 nm. Compound C610 is the real end point of the reaction and its alpha band maximum appears at 610 nm. Compound C606 is interpreted as resulting from the transfer of one electron from heme alpha 3 copper to oxygen and compound C610 as expressing a molecular reorganization due to the effect of the temperature. Structural requirements for the location of CuB in the active site are discussed. It is concluded that the three observed compounds are the only intermediates formed in the reaction between oxygen and mixed-valence state membrane-bound cytochrome oxidase.     

Anti-fibrillogenic properties of phthalocyanines: Effect of the out-of-plane ligands

The axially-coordinated phthalocyanines were previously reported as agents possessing strong anti-fibrillogenic properties. In the presented study we used the atomic force microscopy to investigate the intermediates and the products of insulin aggregation reaction formed in the presence of Zr and Hf phthalocyanine complexes that contain out-of-plane ligands of different size and nature. It is shown that while phthalocyanine-free insulin generated mostly amyloid fibrils with a diameter of 2–8 nm and a length of up to 5 μm, the presence of phthalocyanines with spatial bulky ligands (PcZrDbm₂) leads to the redirection of the fibrillization reaction to the formation of the spherical oligomer aggregates with a diameter of 4–12 nm. At the same time the phthalocyanine complex PcHfCl₂ having the small-volume ligands induces the formation of large size insulin aggregates with a height of about 100 nm that are supposed to be amorphous species. The study of the aggregation intermediates showed the certain similarity of the reaction passing for phthalocyanine-free insulin and insulin in the presence of PcZrDbm₂. The large-size amorphous species were observed at the beginning of reaction, later they dissociated, leading to the formation and growth of the smaller size particles. The amyloid-sensitive cyanine dye 7519 demonstrates the strong fluorescent response both in the presence of fibrils and spherical oligomers, while it is non-sensitive to amorphous aggregates.     

Kinetics modeling of the acidolysis with immobilized Rhizomucor miehei lipases for production of structured lipids from sunflower oil

Sunflower oil modification for production of semisolid fats was carried out via acidolysis using palmitic and stearic acids (P + St), hexane and a developed biocatalyst from Rhizomucor miehei lipases. Its kinetic behavior was studied by employing three mathematical models proposed in the literature. Furthermore, a new model was proposed to describe not only the variation of triacylglycerols (TAG), diacylglycerols (DAG), and free fatty acids groups but also the acyl migration reaction occurrence. The effect of the reaction temperature on the kinetic and equilibrium parameters, as well as TAG and reaction intermediates profiles was analyzed. Increasing reaction temperature generated major changes in the overall composition of acylglycerols and gave rise to the highest composition of P + St in the obtained structured lipids (58%, 70 h, 60 °C). P + St incorporation was successfully adjusted by an empirical model (Model I) and a lumped parameter model (Model II) for all the studied reaction times, while the model based on a Ping Pong Bi Bi mechanism (Model III) was only able to describe the kinetics behavior (through the variation of reactant saturated fatty acids concentration) until 24 h. Experimental data were fit satisfactorily by the proposed model (Model IV), showing that the increment in the disaturated TAG formation achieved by the increment in temperature was principally related to the favored DAG formation from triunsaturated TAG.     

Photoacoustic photocalorimetry and spectroscopy of Halobacterium halobium purple membranes.

Enthalpy changes associated with intermediates of the photocycle of bacteriorhodopsin (bR) in light-adapted Halobacterium halobium purple membranes, and decay times of these intermediates, are obtained from photoacoustic measurements on purple membrane fragments. Our results, mainly derived from modulation frequency spectra, show changes in the amount of energy stored in the intermediates and in their decay times as a function of pH and/or salt concentration. Especially affected are the slowest step (endothermic) and a spectroscopically unidentified intermediate (both at pH 7). This effect is interpreted in terms of cation binding to the protein, conformational changes of which are thought to be connected with the endothermic process. Wavelength spectra are used to obtain heat dissipation spectra, which allow identification of wavelength regions with varying photoactivity, and estimation of the amounts of enthalpy stored in the photointermediates. Because of bleaching and accumulation of intermediates, however, and because of the small fraction of light energy stored during photocycle, quantitative information cannot be obtained. From photoacoustic wavelength spectra of purple membrane fragments equilibrated at 63% relative humidity, rise and decay times of the bR570 and M412 intermediates are calculated.