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*
* Laboratoire de Spectroscopie Ultrarapide and
Laboratory of Protein Engineering, Ecole Polytechnique Fédérale de Lausanne, Institute of Chemical Sciences and Engineering, FSB-BSP, CH-1015 Lausanne-Dorigny, Switzerland
Correspondence: Address reprint requests to Stefan Haacke, E-mail: stefan.haacke{at}ipcms.u-strasbg.fr.
| ABSTRACT |
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6000 cm1, indicating depopulation of the Franck-Condon region in
100 fs. We attribute it to relaxation along skeletal stretching. A dramatic spectral narrowing is observed on a 150 fs timescale, which we assign to relaxation from the S2 to the S1 state. Along with the direct excitation of S1, this relaxation populates different quasistationary states in S1, as suggested from the existence of three distinct fluorescence decay times with different decay associated spectra. A 0.50.65 ps decay component is observed, which may reflect the direct repopulation of the ground state, in line with the small isomerization yield in solvents. Two longer decay components are observed and are attributed to torsional motion leading to photo-isomerization. The various decay channels show little or no dependence with respect to the viscosity or dielectric constant of the solvents. This suggests that in the protein, the bond selectivity of isomerization is mainly governed by steric effects. | INTRODUCTION |
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Besides the intraretinal dynamics, the exact role of the protein environment is still not understood at a microscopic level. Indeed in bacteriorhodopsin (bR), the isomerization yield of retinal is high (65%) and occurs selectively around the C13=C14 double bond, whereas in solution the yield is low (<20%) and the isomerization is highly nonselective (Becker and Freedman, 1985
; Koyama et al., 1991
). It was suggested that this "catalytic" action of the protein is determined by the presence of charged residues (Arg82, Asp85, Asp212) in the vicinity of retinal (Heyne et al., 2000
; Nonella, 2000
; Song et al., 1993
). Furthermore, PSBR undergoes a 1218 D dipole moment change upon vertical excitation (Mathies and Stryer, 1976
; Ponder and Mathies, 1983
; Huang et al., 1989
), and it has been suggested that the sudden polarization of the protein pocket induces an ultrafast dielectric response of the environment (Kennis et al., 2002
; Xu et al., 1996
), similar to those found in polar solvents (Maroncelli and Fleming, 1988
), which may also drive the isomerization dynamics.
To address this issue, it is useful to investigate the ultrafast photophysics of the retinylidene chromophore as a function of solvent properties, such as viscosity and dielectric constant. This would help disentangle intramolecular dynamics (internal conversion, isomerization) from the intermolecular ones (dielectric response, viscosity) and clarify the interplay between the two, bearing in mind the low yield and unselective isomerization in solutions (Freedman and Becker, 1986
; Koyama et al., 1991
). Absorption and fluorescence studies of unprotonated and protonated n-butylamine Schiff bases of all-trans retinal were performed (Becker and Freedman, 1985
; Freedman and Becker, 1986
), along with measurements of the fluorescence quantum yields and lifetimes (Bachilo et al., 1996
; Bachilo and Gillbro, 1999
; Huppert and Rentzepis, 1986
). From these studies, it was concluded (Bachilo et al., 1996
) that both absorption and emission of the PSBR forms are dominated by the same S0 S1 transition with strong one-photon allowed 1Ag-1Bu character.
The ultrafast spectroscopy of all-trans PSBR in solution has been reported by a few groups (Hamm et al., 1996
; Kandori and Sasabe, 1993
; Logunov et al., 1996
). In fluorescence up-conversion, an initial 100 fs decay was observed, followed by a slower 37 ps decay time of the excited state. Although initially these decay times were attributed to isomerization, more recent work carried out on 13-cis locked retinal analogs, which revealed similarly short decay times, put this interpretation in question (Hou et al., 2001
). In addition, since the cis and trans isomers in solution have very similar absorption spectra, it has not been possible to give direct evidence for the formation of the cis forms. Finally, a systematic solvent dependence study of PSBR dynamics in solution has not been carried out.
Here we report on the ultrafast spectral evolution of the fluorescence of all-trans PSBRs in protic (methanol MeOH, 1-octanol OctOH, and 2-propanol ProOH) and nonprotic (cyclohexane cHex and dichloromethane DCM) solvents. The rationale behind this choice is that they differ by more than one order of magnitude in viscosity and dielectric constants (Table 1). These physical parameters are known to strongly affect the intramolecular structural response and the intermolecular dielectric response of molecules in solvents (Horng et al., 1995
). For example, OctOH shows a relatively slow dielectric relaxation time of 27 ps, whereas MeOH has an average relaxation time of 35 ps (Horng et al., 1995
).
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| EXPERIMENTAL PROCEDURES |
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250 mL of the PSBR solution (optical density 915/cm) is flown through a 0.3 mm path length flow cell using a dye laser pump (flow speed 56 m/s), and the fluorescence is collected in transmission geometry. For excitation, 20 nJ pulses were focused in a spot of
40 µm diameter (
1.4 mJ/cm2). Thus,
20% of the molecules are excited per shot in the focal volume. In contrast with our previously published data (Zgrabli
et al., 2004
A BBO crystal of 250 µm thickness is used for the sum frequency generation. We work in a "polychromatic" mode, where by turning the up-conversion crystal, the whole spectral region of interest is phase matched, removing the limit of the intrinsic crystal's acceptance bandwidth (Haacke et al., 1998
). Throughout the rotation, the up-converted fluorescence is continuously acquired with a spectrometer and a LN2-cooled, back-illuminated charge-coupled device camera (15 s exposure time). After the up-conversion crystal, the sum frequency beam goes through a pinhole followed by a combination of a quartz prism and a mask, which filter unwanted long-wavelength light: the 850 nm gate beam, non-up-converted fluorescence, and more importantly the second harmonic of the fundamental. An additional Schott UG11 UV pass filter (Schott Glass Technologies, Mainz, Germany) reduces this signal further but limits the spectral window to
< 720 nm. The remaining background signal, measured at negative delay times, is averaged and subtracted from the raw data. Time-resolved spectra are not corrected for the spectral sensitivity of the detection system.
The group velocity dispersion induced by optical elements in the fluorescence path (including a GG420 filter) was measured using white light generated by 800-nm pulses in the same flow cell filled with water. By observing the up-converted Raman line of the solvent, time zero was determined, along with the instrument time response function of 120150 fs width. The spectral resolution of the instrument is equivalent to 14 nm in the fluorescence spectrum determined by up-converting a He-Ne laser line.
Steady-state spectra are recorded in a PerkinElmer (Wellesley, MA) spectrophotometer and in a modified Spex (Edison, NJ) fluorimeter. The latter is equipped with a Si avalanche diode for recording the near-IR fluorescence with higher efficiency. The data I(
)d
are corrected for the instrument response, determined by using standard red-emitting dyes (pyridine 2, oxazine 750, and styryl 11), and multiplied by
2 upon conversion from wavelengths to wavenumbers (Lakowicz, 1999
). The steady-state fluorescence spectra are obtained on samples with optical density 0.50.6/cm under excitation at 450 nm.
| RESULTS |
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5200 cm1, which is
30% larger than for all-trans PSBR in retinal proteins. It is well possible that the S0S2 transition contributes to the absorption profile but is unresolved. It may have nonnegligible one-photon character, as in the case of bR (Birge and Zhang, 1990
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30% smaller spectral width than the chromophores in OctOH and cHex (cf. Table 1). One has to keep in mind that the steady-state spectra are an average over a short fluorescence lifetime: 2.3 ps for MeOH and OctOH, and
1.6 ps for cHex (see 

in Table 1). For OctOH, the fluorescence lifetime is much shorter than the dielectric relaxation time (Horng et al., 1995
1600 cm1), which amount to
20% of the total Stokes shift for that solvent, should reflect the intermolecular contributions (dielectric solvation, hydrogen-bonding, inhomogeneous broadening, etc.). The latter are also hinted at by the larger widths of the fluorescence spectra in OctOH and cHex.
Time-resolved fluorescence spectra
Fig. 2, A and B, displays two-dimensional contour plots of PSBR emission in MeOH and cHex. In the initial phase, i.e., from negative delays until t = 200 fs, the spectra are extremely broad, extending from 500 to 700 nm (FWHM = 6000 cm1). They are already considerably red-shifted with respect to the corresponding absorption maximum. The high-energy part decays quite dramatically with time, leading to a reduction of the spectral width of
1500 cm1 by t = 100 fs (Fig. 3, A and C). The fact that already at negative times, the spectrum spans nearly the whole energy range of the steady-state Stokes shift suggests an extremely fast initial relaxation process taking place on a timescale much shorter than our time resolution of
120 fs.
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Kinetic traces
The fluorescence decay is almost complete within 15 ps, in agreement with an excited state lifetime of 46 ps (Hamm et al., 1996
; Logunov et al., 1996
; Kandori and Sasabe, 1993
). Fig. 4 shows four kinetic traces for PSBR/MeOH at characteristic wavelengths. At the high-energy side (485550 nm), after an instantaneous rise,
80% of the fluorescence decays on a sub-50 fs timescale, as indicated by the slight asymmetry of the 530-nm trace, whereas the remaining part decays with a time constant of
II,2 = 150 ± 20 fs, as suggested by the spectral kinetics described above and reported earlier (Kandori and Sasabe, 1993
).
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= 640740 nm, the time-zero spectra of Fig. 3, A and C, show that part of the signal rises within the experimental time resolution, followed by a slower rising component. For the total signal build-up, we fit a wavelength-independent rise time
I,r = 130 ± 30 fs, which, to our knowledge, was not reported previously (Kandori and Sasabe, 1993
II,2 = 150 fs decay observed at shorter wavelengths. Note that the dynamic red-shift observed for PSBR/MeOH (cf. Fig. 3 B) occurs on a slower timescale and does not contribute to the sub-200 fs rise times discussed here.
For intermediate wavelengths (550640 nm), we observe an abrupt change in the behavior of the rise time. Indeed, the fluorescence rises instantaneously from the blue edge up to 600 nm. Then from 600 nm on, the above 130 fs rise component appears and is observed up to the red-most edge. This behavior is best seen from the tilt of the contour lines for
> 600 nm in Fig. 2. In the case of a sequential relaxation mechanism on the same electronic surface, we would expect a gradual increase of the rise time, in going from the high- to the low-energy fluorescence. However, the abrupt change of the rise time over <50 nm suggests the existence of two distinct overlapping bands: a low-energy slowly rising/decaying one (band I
> 550 nm), and a high-energy fast-rising/decaying one (band II
< 640 nm). At intermediate wavelengths, the signal is a linear combination of both bands. The shape of the trace at 625 nm corroborates this finding: an almost constant signal level is observed between 100 and 300 fs (Fig. 4). This plateau is due to the two bands contributing with nearly similar amplitudes. Going from 625 nm to longer wavelengths, the high-energy band II gradually loses intensity, making it possible to observe the slow rise of the low-energy band. On the other hand, going to the shorter wavelengths (
< 625 nm) the high-energy band dominates, masking the rise of the low-energy band I (Fig. 4, inset). A more elaborate singular value decomposition (SVD) analysis allows separating the two emission bands (see below).
When the rise is finally completed, the later part of the kinetic traces reveals a complex decay of the low-energy band in every measured solvent. Fig. 5 compares residuals of bi- and triexponential fits to the MeOH data. They demonstratealongside a threefold reduction of the
2 valuesthat the decays are triexponential around 600 nm. The decay constants and preexponential factors are listed in Table 1 for all solvents studied here.
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> 640 nm is due to the band I only. Thus, the SVD applied to this red-most part will determine exclusively the rise and decay constants of band I, but the extracted decay associated spectra (DAS) are not complete since the wavelengths below 640 nm are missing. When applying the SVD over the whole wavelength range but only from t = 300 fs (when the rise is over and the contribution of the Band II is negligible, Fig. 3), the information about the time evolution for earlier times is lost, but we recover the full DAS of band I. With the principal time constants and the DAS, we reconstruct a noise-free band I* for the entire time and wavelength range. Subsequently subtracting band I* from the original fluorescence, we recover band II. This approach is not intrinsically suitable for bands that evolve spectrally, but the time-resolved spectra show that spectral evolution occurs at the shortest times, and is negligible at later ones, even in the most polar solvent (MeOH). The DAS for MeOH and cHex are shown in Figs. 6 A and 7 A, respectively, and the parameters for all solvents are given in Table 1. Figs. 6 B and 7 B show the kinetic traces at the central wavelengths of bands I and II. Fig. 8 shows the spectral decomposition into bands I and II for the solvents studied here, where each spectrum was taken at the moment of maximum intensity of the band (arrows in Figs. 6 B and 7 B). We note the following:
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150 fs (trace II Figs. 6 B and 7 B, Table 1).The band maximum shows a red-shift with increasing dielectric constant (Fig. 8) within each class of solvents, whereas the FWHM remains fairly constant around 90 nm. Nevertheless, the timescales associated with band II are nearly identical for the whole series of solvents, and the preexponential factors differ slightly, but with no apparent systematic trend as a function of dielectric constant and/or viscosity.
Band I
In this case, we extracted three DAS with distinct timescales: a fast one
I,1 = 0.50.64 ps, an intermediate one
I,2 = 1.52.5 ps, and a slow one
I,3 = 4.66.3 ps. Considering only protic solvents,
I,3 shows a slight increase with viscosity. Within the error bars, the shortest two time constants and the corresponding DAS (
610 nm) do not show a clear dependence on solvent properties. The DAS of
I,3 shows 40 nm blueshift (640620 nm) as we go to less polar solvents, both protic and nonprotic (Fig. 8, Table 1), but no trend shows up that includes all solvents. As the time-integrated fluorescence is mainly a time-average of the DAS of band I, they are expected to show the same solvent dependence. Indeed, for decreasing dielectric constant, all the DAS of band I gradually acquire larger spectral width and their maxima converge to the same wavelength (extreme case OctOH, Table 1).
Finally, comparing band II to the normalized bands I, it is found that band II loses weight in less polar solvents (Fig. 8). We observe 50% reduction going from MeOH to OctOH and 25% reduction from DCM to cHex.
In summary, we find that a), the peak-to-peak Stokes shifts of the PSBRs are very large (>6500 cm1) and are comparable, despite large differences in the solvent properties. This suggests that the Stokes shifts are dominated by intramolecular relaxation, even in polar solvents such as MeOH; b), the emission spectra observed at shortest delay time (within the excitation pulse width) are considerably Stokes shifted, suggesting a sub-50 fs energy relaxation process; c), the PSBR fluorescence is composed of two distinct fluorescence bands, a high-energy one decaying in a biexponential fashion in
30 fs and 150 ± 20 fs, and a low-energy one rising in 130 ± 30 fs, and decaying in a triexponential fashion with time constants of
I,1
0.6 ps,
I,2
1.52.5 ps, and
I,3
46 ps; and d), all reported timescales show no or only a mild dependence with either the solvent dielectric constant or viscosity.
| DISCUSSION |
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The ultrafast dynamics (<200 fs)
Two ultrafast unresolved sub-50 fs components are observed: a), the shift of the emission away from the energy of excitation leading to a rise of band I and II, and b), the unresolved decay of band II (
II,1). According to theory (González-Luque et al., 2000
), the process behind (a) is most probably the relaxation along high-frequency skeletal modes, overdamped by anharmonic coupling to low-frequency modes, and expected to occur on a 20 fs timescale, as the first event associated with bond order change in S1. As higher vibrational levels are populated with the excitation at 425 nm, this leads to a broad emission spectrum even before energy dissipation has taken place. Intramolecular vibrational energy redistribution (IVR) is then operative, reducing the high- and low-energy wing of the emission bands. This may be the origin for the fast sub-50 fs components in the decay of S2 (
II,1). Such ultrashort intramolecular vibrational energy redistribution times were reported for large molecules in condensed phase (Cerullo et al., 2001
). The longer decay component of band II (
II,2 = 140170 fs) is due to internal conversion from S2 to S1, as it reflects the rise of band I. The high relaxation rate may indicate a surface crossing (conical intersection) between both states.
Decay times of band II, stationary points, and isomerization paths
For an interpretation of the slower decay times
I,1
I,3 related to the decay of band I, the following points should be taken into consideration: 1), the above intramolecular relaxation processes populate the state from which fluorescence occurs. Loosening of the C=C double bonds leads to a possibility of populating different conformations. Upon photoexcitation, retinal is considered to become very flexible due to a loosening of all C=C bonds of the conjugate chain (Kobayashi et al., 2001
). Experiments on all-trans retinal in solvents suggest that isomerization occurs after 1 ps only (Hamm et al., 1996
; Kandori and Sasabe, 1993
; Logunov et al., 1996
). We therefore propose that the emission stems from different quasistationary states (called stationary points [SP]; González-Luque et al., 2000
) on the S1 potential surface, corresponding to different conformations of the chromophore, which will lead to the different isomers that are known to be formed in solutions; and 2), isomerization of all-trans PSBR has an overall efficiency of only 15%22% in solutions (Becker and Freedman, 1985
). In other words, most (>75%) of the excited molecules do not undergo isomerization and come back to the all-trans ground state.
The properties of the different SPs give rise to the distinct fluorescence decay times and DAS (Table 1, Figs. 6 A and 7 A). The amplitudes are a measure of the relative populations right after the initial ultrafast relaxation period (>150 fs). The decay constant
I,1 = 0.50.64 ps is observed in the individual decay kinetics for every solvent. In MeOH, the
I,1 component is observed only at shorter wavelengths, whereas in cHex it is present throughout almost the entire wavelength range, in particular also in the low-energy wing (cf. Fig. 7 A). It does not show up as a rise time, in contrast to
II,2. It is therefore not associated with cooling, as previously suggested (Hamm et al., 1996
). Rather, we propose that
I,1 is associated with a nonisomerizing path, i.e., internal back conversion (IBC), since most chromophores relax back to the all-trans ground state (Freedman and Becker, 1986
). It is plausible to attribute the fastest decay rate to the most efficient process, as the relative populations of the SPs are being equilibrated due to vibrational energy relaxation on a ps timescale (Kovalenko et al., 2001
). This equilibration thus represents a possible loss channel for the SP (
I,1), which is in the end avoided due to the shortness of
I,1. This assignment is corroborated by the observation that the amplitudes of
I,1 are larger for less polar solvents, consistent with a decrease of the isomerization yield found in high pressure liquid chromatography (HPLC) experiments (Koyama et al., 1991
).
I,2 and
I,3 are almost identical to those found by other authors (Kandori and Sasabe, 1993
; Hamm et al., 1996
; Logunov et al., 1996
), and we likewise attribute them to isomerization. We add here the fact that the DAS are displaced in energy and are somewhat solvent dependent (Figs. 6 A and 7 A), which suggests that these decay times are related to the formation of different cis-isomers. The faster
I,2 may lead to the preferentially formed 11-cis isomer, whereas the slower
I,3 with smaller amplitude may represent the other isomerization channels (Becker and Freedman, 1985
). The amplitudes of these decay times do not represent the fractions of isomerized to all-trans molecules determined in a HPLC analysis (Freedman and Becker, 1986
; Koyama et al., 1991
). This may be due to additional branching between cis formation and return to the all-trans ground state, which occurs after depopulation of the SPs, at the conical intersections with S0 for large torsional angles (De Vico et al., 2002
). Moreover, secondary ground state isomerization processes, which occur at longer times and are not spectroscopically detectable, may also contribute to the isomer ratio determined by HPLC.
Influence of solvent properties
In general, the decay constants show hardly any dependence on dielectric constant, viscosity, or density of the solvents. This is also the case for the average fluorescence lifetime
(Table 1).
The exception being
I,3, which shows an increase by <70% with viscosity, this only in protic solvents and even though the viscosity increases 15-fold (Table 1). A similar behavior has recently been reported for the different chromophore forms of the green fluorescent protein in solutions (Litvinenko et al., 2003
). It points to a "volume-conserving" isomerization process ("hula twist" (Liu and Asato, 1985
) or "bicycle pedal" (Warshel, 1976
)).
Alternative explanations for biexponential isomerization dynamics (
I,2 and
I,3) have been proposed in the literature. Inhomogeneities in the solvent environment may lead to different isomerization times and explain the different decay times (Vengris et al., 2004
). OctOH is known to be a complex-associated solvent (Czarnecki and Orzechowski, 2003
), which could indeed present this effect. However, the values of
I,2 and
I,3 and their amplitudes do not differ very much for the various solvents. Alternatively, the presence of a barrier along the trans-cis isomerization path can also lead to a biexponential decay (Logunov et al., 1996
), in combination with a nonthermal distribution near the SP (Hamm et al., 1996
; Kandori and Sasabe, 1993
; Logunov et al., 1996
). The fact that the DAS of
I,2 and
I,3 are different speaks against the isomerization barrier model. The solvent dependence of these DAS rather suggests that they come from different SPs with solvent-dependent potential energies.
Calculations for a PSBR analog in vacuum have shown that, when the molecule evolves along the torsional mode, the transition dipole moment decreases (Cembran et al., 2003
), leading to quenching of fluorescence before the conical intersection is reached. This implies that the fluorescence reflects only the residence time in the "optically active window" of the SP (Kandori and Sasabe, 1993
). This may be the reason why the excited state lifetimes of locked PSBR analogs in solution are very similar to that of free all-trans PSBRs (Hou et al., 2001
). Likewise, there is no spectral red-shift associated with the torsional motion on the timescales of
I,2 and
I,3. This situation rather suggests that the fluorescence spectrum is an ensemble average over molecules with different degrees of torsion.
Comparison with bacteriorhodopsin
The lack of a clear cut dependence of the timescales with solvent properties suggests that the dynamics in solvents is governed by intramolecular mechanisms, in line with the comparable Stokes shifts found in the steady-state spectra for both protic and nonprotic solvents. For all solvents studied, the peak-to-peak Stokes shift is
40%50% larger than for bR (Haacke et al., 2001
; Kennis et al., 2002
), even in cHex (Table 1). It is dominated by intramolecular relaxation, and is 3 times larger than the intramolecular part of the Stokes shift in bR (15002000 cm1; Kennis et al., 2002
; Loppnow et al., 1992
). This directly suggests that the PSBRs in solvents are free to undergo structural relaxation of larger amplitudes than in the tight protein binding cavity.
In the protein, isomerization of retinal is known to occur without dramatic structural changes (Schobert et al., 2002
). If we consider the above interpretation of the fluorescence decay times, we can conclude that in solvents these mild structural changes will not be strongly affected by the environment as the solvent cages are large enough to allow any small amplitude motion of retinal. Given that the backbone is loosened as a result of excitation, isomerization takes place around several C=C bonds, and all selectivity is lost. The lack of a dependence of the solvent dielectric constant also hints at a minor role played by electrostatic interactions. In the protein, the environment is tighter and the steric effects force the system to undergo isomerization preferentially around C13. In addition, the protein inhibits IBC. Experimental work on bR reconstituted with nonisomerizing retinal analogs indicated a lifetime of 1819 ps for this process (Delaney et al., 1995
; Ye et al., 1999
; Haacke et al., 2001
), in contrast to the sub-ps
I,1 we observe here. It appears that the bond selectivity for isomerization controlled by the protein environment is possibly imposed during the entire excited state relaxation: steering vibrational relaxation preferentially into reactive SPs, and inhibiting IBC from the nonreactive SPs.
| CONCLUSIONS |
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6500 cm1) intramolecular contribution to the Stokes shift. The time- and wavelength-resolved fluorescence up-conversion data reveal contributions of two electronic states, S2 and S1, to the sub-200 fs emission. In addition, different excited state relaxation processes are identified. A first sub-50 fs skeletal stretch relaxation causes the time-zero spectra to be Stokes-shifted by
6000 cm1, with respect to absorption. Intramolecular energy relaxation is operative on a 50150 fs timescale. Along with the direct excitation of S1, it populates different fluorescent states that decay with three distinct lifetimes. A 0.500.65 ps solvent-independent fluorescence decay component is interpreted as the all-trans ground state recovery, in line with the small isomerization yield of retinal in solvents. Two ps-long decay components are related to the torsional motion leading to the conical intersections for isomerization. No clear cut dependence on dielectric constant, viscosity, or density of the solvents has been identified, suggesting that most of the ultrafast dynamics presented here are dominated by intramolecular processes, probably due to the mild structural changes of retinal upon isomerization, which is not affected by the "loose" solvent cage. On the other hand, for the protein, we suggest that the significantly more steric environment causes the selective isomerization around the C13 atom. In addition, the "catalytic" action of the protein for an increased isomerization yield seems to imply the inhibition of IBC on the path from the FC region to the conical intersection. Finally, solvents seem to modulate the electronic structure, leading to spectral shifts of band I and II and to changes in the DAS. | ACKNOWLEDGEMENTS |
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Financial support was provided by the Swiss National Science Foundation (FNRS) within the National Centre of Competence in Research "Quantum Photonics", the project grant 2153-065135, and the "PROFIL-2" grant for S.H. Further funding is kindly acknowledged from the "Fondation Herbette" of the University of Lausanne, Switzerland, where this work was initiated.
| FOOTNOTES |
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Stefan Haacke's new address is Institut de Physique et Chimie des Matériaux de Strasbourg-GONLO, 23 rue du Loess, F-67034 Strasbourg Cédex, France.
Submitted on May 17, 2004; accepted for publication January 11, 2005.
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