Polar solvent dynamics and electron-transfer reactions.

Polar solvents often exert a dramatic influence on reactions in solution. Equilibrium aspects of this influence involve differential solvation of reactants compared to the transition state that lead to alteration of the free-energy barrier to reaction. Such effects are well known, and often give rise changes in reaction rates of many orders of magnitude. Less well understood are effects arising from non-equilibrium, dynamical aspects of solvation. During the course of reaction, charge is rapidly redistributed among reactants. How the reaction couples to its solvent environment depends critically on how fast the solvent can respond to these changes in reactant charge distribution. In this article the dynamics of solvation in polar liquids and the influence of this dynamics on electron-transfer reactions are discussed. A molecular picture suggests that polar solvation occurs on multiple time scales as a result of the involvement of different types of solvent motion. A hierarchy of models from a homogeneous continuum model to one incorporating molecular aspects of solvation, combined with computer simulations, gives insight into the underlying dynamics. Experimental measures of solvation dynamics from picosecond and subpicosecond time-dependent Stokes shift studies are compared with the predictions of theoretical models. The implication of these results for electron-transfer reactions in solution are then briefly considered.

Femtosecond spectroscopy of photosynthetic light-harvesting systems.

Observing the elementary steps of light-harvesting in real time is now possible using femtosecond spectroscopy. This, combined with new structural data, has allowed a fairly complete description of light-harvesting in purple bacteria and substantial insights into higher plant antenna systems.

The fluorescence decay kinetics of in vivo chlorophyll measured using low intensity excitation.

We report fluorescence lifetimes for in vivo chlorophyll a using a time-correlated single-photon counting technique with tunable dye laser excitation. The fluorescence decay of dark-adapted chlorella is almost exponential with a lifetime of 490 ps, which is independent of excitation from 570 nm to 640 nm. Chloroplasts show a two-component decay of 410 ps and approximately 1.4 ns, the proportion of long component depending upon the fluorescence state of the chloroplasts. The fluorescence lifetime of Photosystem I was determined to be 110 ps from measurements on fragments enriched in Photosystem I prepared from chloroplasts with digitonin.

Internal dynamics and overall motion of lysozyme studied by fluorescence depolarization of the eosin lysozyme complex.

Time-resolved fluorescence depolarization on the nanosecond and sub-nanosecond time scales is a powerful technique for the study of rapid motions in the condensed phase. We apply this technique to measure the motions of proteins using both extrinsic and intrinsic probes. Eosin, which absorbs and fluoresces in the visible, forms a one-to-one complex with lysozyme binding in the hydrophobic box region and is used as an extrinsic probe of lysozyme motion. The long-time anisotropy of bound eosin is used to measure the overall rotation time of lysozyme for which refined values are presented. In addition, our measurements show a rapid restricted motion of the eosin molecule on the time scale of approximately 100 ps. The order parameter, a model independent measure of the extent of the restriction of the rapid motions, decreases with increasing temperature, indicating that the motion of the eosin is less hindered as temperature increases. We compare our results with the crystallographic measurements of least square displacements for the hydrophobic box region. Our measurements provide direct time resolved confirmation that the displacements observed in this region correspond to rapid motion.

Exciton dynamics in semiconducting carbon nanotubes.

We report a femtosecond transient absorption spectroscopic study on the (6, 5) single-walled carbon nanotubes and the (7, 5) inner tubes of a dominant double-walled carbon nanotube species. We found that the dynamics of exciton relaxation probed at the first transition-allowed state (E(11)) of a given tube type exhibits a markedly slower decay when the second transition-allowed state (E(22)) is excited than that measured by exciting its first transition-allowed state (E(11)). A linear intensity dependence of the maximal amplitude of the transient absorption signal is found for the E(22) excitation, whereas the corresponding amplitude scales linearly with the square root of the E(11) excitation intensity. Theoretical modeling of these experimental findings was performed by developing a continuum model and a stochastic model with explicit consideration of the annihilation of coherent excitons. Our detailed numerical simulations show that both models can reproduce reasonably well the initial portion of decay kinetics measured upon the E(22) and E(11) excitation of the chosen tube species, but the stochastic model gives qualitatively better agreement with the intensity dependence observed experimentally than those obtained with the continuum model.

Role of electron-transfer quenching of chlorophyll fluorescence by carotenoids in non-photochemical quenching of green plants.

NPQ (non-photochemical quenching) is a fundamental photosynthetic mechanism by which plants protect themselves against excess excitation energy and the resulting photodamage. A discussed molecular mechanism of the so-called feedback de-excitation component (qE) of NPQ involves the formation of a quenching complex. Recently, we have studied the influence of formation of a zeaxanthin-chlorophyll complex on the excited states of the pigments using high-level quantum chemical methodology. In the case of complex formation, electron-transfer quenching of chlorophyll-excited states by carotenoids is a relevant quenching mechanism. Furthermore, additionally occurring charge-transfer excited states can be exploited experimentally to prove the existence of the quenching complex during NPQ.

Influence of inhibitor binding on the internal motions of lysozyme.

Time-resolved laser-induced fluorescence depolarization measurements of internal motions in lysozyme are presented. The fluorescent dye eosin binds in a one-to-one complex with the enzyme, and is used both to measure the overall tumbling time constants and to probe the motions of residues in the region of binding. The precision and accuracy of the present method for determining the overall tumbling time constants compare favorably with those from other methods used in the literature. The extent of the internal motions, as described by a model independent order parameter, S2, is temperature dependent, and changes when the inhibitor N,N',N"-triacetylchitotriose, (GlcNAc)3, is bound to the active site of the enzyme. The observed temperature dependence and changes in S2 upon binding of (GlcNAc)3 are interpreted in terms of a nonharmonic model of the effective potential that is consistent with the picture of concerted motions in the protein. The values of the parameters of the potential that reproduce the data with and without the bound inhibitor imply that (GlcNAc)3 binding causes an increase in the rigidity of the protein, which agree qualitatively with other results on the lysozyme-(GlcNAc)3 system.

Analysis of time-resolved fluorescence anisotropy decays.

We discuss the analysis of time-correlated single photon counting measurements of fluorescence anisotropy. Particular attention was paid to the statistical properties of the data. The methods used previously to analyze these experiments were examined and a new method was proposed in which parallel- and perpendicular-polarized fluorescence curves were fit simultaneously. The new method takes full advantage of the statistical properties of the measured curves; and, in some cases, it is shown to be more sensitive than other methods to systematic errors present in the data. Examples were presented using experimental and simulated data. The influence of fitting range on extracted parameters and statistical criteria for evaluating the quality of fits are also discussed.

Photophysics of metalloazurins.

The fluorescence lifetimes of Cu(II), Cu(I), Ag(I), Hg(II), Co(II), and Ni(II) azurin Pae from Pseudomonas aeruginosa and Cu(II), Cu(I), and Hg(II) azurin Afe from Alcaligenes faecalis were measured at 295 K by time-correlated single-photon counting. In addition, fluorescence lifetimes of Cu(II) azurin Pae were measured between 30 and 160 K and showed little change in value. Ultraviolet absorption difference spectra between metalloazurin Pae and apoazurin Pae were measured, as were the fluorescence spectra of metalloazurins. These spectra were used to determine the spectral overlap integral required for dipole-dipole resonance calculations. All metalloazurins exhibit a reduced fluorescence lifetime compared to their respective apoazurins. Forster electronic energy transfer rates were calculated for both metalloazurin Pae and metalloazurin Afe derivatives; both enzymes contain a single tryptophyl residue which is located in a different position in the two azurins. These azurins have markedly different fluorescence spectra, and electronic energy transfers occur from these two tryptophyl sites with different distances and orientations and spectral overlap integral values. Intramolecular distances and orientations were derived from an X-ray crystallographic structure and a molecular dynamic simulation of the homologous azurin Ade from Alcaligenes denitrificans, which contains both tryptophyl sites. Assignments were made of metal-ligand-field electronic transitions and of transition dipole moments and directions for tryptophyl residues, which accounted for the observed fluorescence quenching of Hg(II), Co(II), and Ni(II) azurin Pae and Cu(II) and Hg(II) azurin Afe. The fluorescence of azurin Pae is assigned as a 1Lb electronic transition, while that of azurin Afe is 1La. The marked fluorescence quenching of Cu(II) azurin Pae and Cu(I) azurin Pae and Afe is less well reproduced by our calculations, and long-range oxidative and reductive electron transfer, respectively, are proposed as additional quenching mechanisms. This study illustrates the application of Forster electronic energy transfer calculations to intramolecular transfers in structurally well characterized molecular systems and demonstrates its ability to predict observed fluorescence quenching rates when the necessary extensive structural, electronic transition assignment, and spectroscopic data are available. The agreement between Forster calculations and quenching rates derived from fluorescence lifetime measurements suggests there are limited changes in conformation between crystal structure and solution structures, with the exception of the tryptophyl residue of azurin Afe, where a conformation derived from a molecular simulation in water was necessary rather than that found in the crystal structure.

Picosecond time-resolved fluorescence of ribonuclease T1. A pH and substrate analogue binding study.

The tryptophyl fluorescence of ribonuclease T1 decays monoexponentially at pH 5.5, tau = 4.04 ns but on increasing pH, a second short-lived component of 1.5 ns appears with a midpoint between pH 6.5 and 7.0. Both components have the same fluorescence spectrum. Acrylamide quenches both fluorescence components, and the short-lived component is quenched fivefold faster than the predominant long component. Binding of the substrate analogue 2'-guanylic acid at pH 5.5 quenches the fluorescence by 20% and introduces a second decay component, tau = 1.16 ns. Acrylamide quenches both tryptophyl decay components, with similar quenching rates. The fluorescence anisotropy decay of ribonuclease T1 was consistent with a molecule the size of ribonuclease T1 surrounded by a single layer of water at pH 7.4, even though the anisotropy decay at pH 5.5 deviated from Stokes-Einstein behavior. The fluorescence data were interpreted with a model where the tryptophyl residue exists in two conformations, remaining in a hydrophobic pocket. The acrylamide quenching is interpreted with electron transfer theory and suggests that one conformer has the nearest atom approximately 3 A from the protein surface, and the other, approximately 2 A.

Energy transfer and trapping in the photosystem I core antenna. A temperature study.

The fluorescence decay kinetics of the photosystem I-only mutant strain of Chlamydomonas reinhardtii, A4d, are used to study energy transfer and structural organization in photosystem I (PSI). Time-resolved measurements over a wide temperature range (36-295 K) have been made both on cells containing approximately 65 core chl a/P700 and an additional 60-70 chl a + b from LHC proteins and on PSI particles containing 40-50 chl a/P700. In each case, the fluorescence decay kinetics is dominated by a short component, tau 1 which is largely attributed to the lifetime of the excitations in the core complex. The results are discussed in terms of simulations of the temperature dependence of tau 1 in model systems. Spectral inhomogeneity and the temperature dependence of the spectral lineshapes are included explicitly in the simulations. Various kinds of antenna arrangements are modeled with and without the inclusion of pigments with lower absorption energies than the trap (red pigments). We conclude that funnel arrangements are not consistent with our measurements. A random model that includes one or two red pigments placed close to the trap shows temperature and wavelength dependence similar to that observed experimentally. A comparison of the temperature dependence of tau 1 for cells and PSI particles is included.

Tunable two-dimensional femtosecond spectroscopy.

We have developed a two-dimensional (2D) Fourier-transform femtosecond spectroscopy technique for the visible spectral region. Three-pulse photon echo signals are generated in a phase-matched noncollinear four-wave mixing box geometry that employs a 3-kHz repetition-rate laser system and optical parametric amplification. Nonlinear signals are fully characterized in amplitude and phase by spectral interferometry. Unlike for previous setups, we achieve long-term phase stability by employing diffractive optics and interferometric accuracy of excitation-pulse time delays by using movable glass wedges. As an example of this technique, 2D correlation and relaxation spectra at 600 nm are shown for a solution of Nile Blue dye in acetonitrile.

Internal motion and electron transfer in proteins: a picosecond fluorescence study of three homologous azurins.

We have carried out a picosecond fluorescence study of holo- and apoazurins of Pseudomonas aeruginosa (azurin Pae), Alcaligenes faecilis (azurin Afe), and Alcaligenes denitrificans (azurin Ade). Azurin Pae contains a single, buried tryptophyl residue; azurin Afe, a single surface tryptophyl residue; and azurin Ade, tryptophyl residues in both environments. From anisotropy measurements we conclude that the interiors of azurins Pae and Ade are not mobile enough to enable motion of the indole ring on a nanosecond time scale. The exposed tryptophans in azurins Afe and Ade show considerable mobility on a few hundred picosecond time scale. The quenching of tryptophan fluorescence observed in the holoproteins is interpreted in terms of electron transfer from excited-state tryptophan to Cu(II). The observed rates are near the maximum predicted by Marcus theory for the separation of donor and acceptor. The involvement of protein matrix and donor mobility for electron transfer is discussed. The two single-tryptophan-containing proteins enable the more complex fluorescence behavior of the two tryptophans of azurin Ade to be understood. The single-exponential fluorescence decay observed for azurin Pae and the nonexponential fluorescence decay observed for azurin Afe are discussed in terms of current models for tryptophan photophysics.

Time-resolved fluorescence study of a calcium-induced conformational change in prothrombin fragment 1.

The wavelength dependent fluorescence decay properties of bovine prothrombin fragment 1 have been investigated employing a picosecond time-correlated single photon counting technique. All observations are discussed with using the crystal structure (Soriano-Garcia et al., Biochemistry 31:2554-2566, 1992). Fluorescence lifetimes distribution and conventional multiexponential analysis, as well as acrylamide quenching studies lead to the identification of six distinguishable tryptophan excited-states. Accessibility to the quencher and the known structure are used to associate a fluorescence decay of the tryptophan present in the Gla domain (Trp42) with two red shifted components (2.3 and 4.9 ns). The two kringle domain tryptophans (Trp90 and Trp126) exhibit four decay times (0.06, 0.24, 0.68, and 2.3 ns), which are blue shifted. The calcium-induced fluorescence quenching is a result of static quenching: the five decay times remain unchanged, whereas the fluorescence intensity of Trp42 is decreased. The static quenching process is a consequence of a ground state interaction between the Cys18-Cys23 disulfide bridge and Trp42. The monomolecular equilibrium constant for this disulfide-pi-electron interaction is found as 4.8.

Antenna structure and excitation dynamics in photosystem I. I. Studies of detergent-isolated photosystem I preparations using time-resolved fluorescence analysis.

The temporal and spectral properties of fluorescence decay in isolated photosystem I (PS I) preparations from algae and higher plants were measured using time-correlated single photon counting. Excitations in the PS I core antenna decay with lifetimes of 15-40 ps and 5-6 ns. The fast decay results from efficient photochemical quenching by P700, whereas the slow decay is attributed to core antenna complexes lacking a trap. Samples containing core and peripheral antenna complexes exhibited an additional intermediate lifetime (150-350 ps) decay. The PS I core antenna is composed of several spectral forms of chlorophyll a that are not temporally resolved in the decays. Analysis of the temporal and spectral properties of the decays provides a description of the composition, structure, and dynamics of energy transfer and trapping reactions in PS I. The core antenna size dependence of the spectral properties and the contributions of the spectral forms to the time-resolved decays show that energy is not concentrated in the longest wavelength absorbing pigments but is nearly homogenized among the spectral forms. These data suggest that the "funnel" description of antenna structure and energy transfer (Seely, G. R. 1973. J. Theor. Biol. 40:189-199) may not be applicable to the PS I core antenna.

Antenna structure and excitation dynamics in photosystem I. II. Studies with mutants of Chlamydomonas reinhardtii lacking photosystem II.

Using time-resolved single photon counting, fluorescence decay in photosystem I (PS I) was analyzed in mutant strains of Chlamydomonas reinhardtii that lack photosystem II. Two strains are compared: one with a wild-type PS I core antenna (120 chlorophyll a/P700) and a second showing an apparent reduction in core antenna size (60 chlorophyll a/P700). These data were calculated from the lifetimes of core antenna excited states (75 and 45 ps, respectively) and from pigment stoichiometries. Fluorescence decay in wild type PS I is composed of two components: a fast 75-ps decay that represents the photochemically limited lifetime of excited states in the core antenna, and a minor (less than 10%) 300-800 ps component that has spectral characteristics of both peripheral and core antenna pigments. Temporal and spectral properties of the fast PS I decay indicate that (a) excitations are nearly equilibrated among the range of spectral forms present in the PS I core antenna, (b) an average excitation visits a representative distribution of core antenna spectral forms on all pigment-binding subunits regardless of the origin of the excitation, (c) reduction in core antenna size does not alter the range of antenna spectral forms present, and (d) transfer from peripheral antennae to the PS I core complex is rapid (less than 5 ps).