251
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Nishimura K, Rondonuwu FS, Fujii R, Akahane J, Koyama Y, Kobayashi T. Sequential singlet internal conversion of 1Bu+→3Ag−→1Bu−→2Ag−→(1Ag− ground) in all-trans-spirilloxanthin revealed by two-dimensional sub-5-fs spectroscopy. Chem Phys Lett 2004. [DOI: 10.1016/j.cplett.2004.04.109] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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252
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Abramczyk H. Femtosecond primary events in bacteriorhodopsin and its retinal modified analogs: Revision of commonly accepted interpretation of electronic spectra of transient intermediates in the bacteriorhodopsin photocycle. J Chem Phys 2004; 120:11120-32. [PMID: 15268142 DOI: 10.1063/1.1737731] [Citation(s) in RCA: 46] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
Femtosecond primary events in bacteriorhodopsin (BR) and its retinal modified analogs are discussed. Ultrafast time resolved electronic spectra of the primary intermediates induced in the BR photocycle are discussed along with spectral and kinetic inconsistencies of the previous models proposed in the literature. The theoretical model proposed in this paper based on vibrational coupling between the electronic transition of the chromophore and intramolecular vibrational modes allows us to calculate the equilibrium electronic absorption band shape and the hole burning profiles. The model is able to rationalize the complex pattern of behavior for the primary events in BR and explain the origin of the apparent inconsistencies between the experiment and the previous theoretical models. The model presented in the paper is based on the anharmonic coupling assumption in the adiabatic approximation using the canonical transformation method for diagonalization of the vibrational Hamiltonian instead of the commonly used perturbation theory. The electronic transition occurs between the Born-Oppenheimer potential energy surfaces with the electron involved in the transition being coupled to the intramolecular vibrational modes of the molecule (chromophore). The relaxation of the excited state occurs by indirect damping (dephasing) mechanisms. The indirect dephasing is governed by the time evolution of the anharmonic coupling constant driven by the resonance energy exchange between the intramolecular vibrational mode and the bath. The coupling with the intramolecular vibrational modes results in the Franck-Condon progression of bands that are broadened due to the vibrational dephasing mechanisms. The electronic absorption line shape has been calculated based on the linear response theory whereas the third order nonlinear response functions have been used to analyze the hole burning profiles obtained from the pump-probe time-resolved measurements. The theoretical treatment proposed in this paper provides a basis for a substantial revision of the commonly accepted interpretation of the primary events in the BR photocycle that exists in the literature.
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Affiliation(s)
- Halina Abramczyk
- Technical University, Department of Chemistry, Laboratory of Molecular Laser Spectroscopy at IARC, Wroblewskiego 15 Street, 93-590 Lodz, Poland.
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253
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Groma GI, Colonna A, Lambry JC, Petrich JW, Váró G, Joffre M, Vos MH, Martin JL. Resonant optical rectification in bacteriorhodopsin. Proc Natl Acad Sci U S A 2004; 101:7971-5. [PMID: 15148391 PMCID: PMC419541 DOI: 10.1073/pnas.0306789101] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
The relative role of retinal isomerization and microscopic polarization in the phototransduction process of bacteriorhodopsin is still an open question. It is known that both processes occur on an ultrafast time scale. The retinal trans-->cis photoisomerization takes place on the time scale of a few hundred femtoseconds. On the other hand, it has been proposed that the primary light-induced event is a sudden polarization of the retinal environment, although there is no direct experimental evidence for femtosecond charge displacements, because photovoltaic techniques cannot be used to detect charge movements faster than picoseconds. Making use of the known high second-order susceptibility chi(2) of retinal in proteins, we have used a nonlinear technique, interferometric detection of coherent infrared emission, to study macroscopically oriented bacteriorhodopsin-containing purple membranes. We report and characterize impulsive macroscopic polarization of these films by optical rectification of an 11-fs visible light pulse in resonance with the optical transition. This finding provides direct evidence for charge separation as a precursor event for subsequent functional processes. A simple two-level model incorporating the resonant second-order optical properties of retinal, which are known to be a requirement for functioning of bacteriorhodopsin, is used to describe the observations. In addition to the electronic response, long-lived infrared emission at specific frequencies was observed, reflecting charge movements associated with vibrational motions. The simultaneous and phase-sensitive observation of both the electronic and vibrational signals opens the way to study the transduction of the initial polarization into structural dynamics.
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Affiliation(s)
- Géza I Groma
- Institute of Biophysics, Biological Research Centre of the Hungarian Academy of Sciences, Szeged, H-6726, Hungary
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254
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Chosrowjan H, Taniguchi S, Mataga N, Unno M, Yamauchi S, Hamada N, Kumauchi M, Tokunaga F. Low-Frequency Vibrations and Their Role in Ultrafast Photoisomerization Reaction Dynamics of Photoactive Yellow Protein. J Phys Chem B 2004. [DOI: 10.1021/jp031126w] [Citation(s) in RCA: 46] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Haik Chosrowjan
- Institute for Laser Technology, Utsubo-Hommachi 1-8-4, Nishiku, Osaka 550-0004, Japan, Institute for Multidisciplinary Research for Advanced Materials, Tohoku University, Sendai 980-8577, Japan, and Department of Earth and Space Science, Osaka University, Toyonaka, Osaka 550-0043, Japan
| | - Seiji Taniguchi
- Institute for Laser Technology, Utsubo-Hommachi 1-8-4, Nishiku, Osaka 550-0004, Japan, Institute for Multidisciplinary Research for Advanced Materials, Tohoku University, Sendai 980-8577, Japan, and Department of Earth and Space Science, Osaka University, Toyonaka, Osaka 550-0043, Japan
| | - Noboru Mataga
- Institute for Laser Technology, Utsubo-Hommachi 1-8-4, Nishiku, Osaka 550-0004, Japan, Institute for Multidisciplinary Research for Advanced Materials, Tohoku University, Sendai 980-8577, Japan, and Department of Earth and Space Science, Osaka University, Toyonaka, Osaka 550-0043, Japan
| | - Masashi Unno
- Institute for Laser Technology, Utsubo-Hommachi 1-8-4, Nishiku, Osaka 550-0004, Japan, Institute for Multidisciplinary Research for Advanced Materials, Tohoku University, Sendai 980-8577, Japan, and Department of Earth and Space Science, Osaka University, Toyonaka, Osaka 550-0043, Japan
| | - Seigo Yamauchi
- Institute for Laser Technology, Utsubo-Hommachi 1-8-4, Nishiku, Osaka 550-0004, Japan, Institute for Multidisciplinary Research for Advanced Materials, Tohoku University, Sendai 980-8577, Japan, and Department of Earth and Space Science, Osaka University, Toyonaka, Osaka 550-0043, Japan
| | - Norio Hamada
- Institute for Laser Technology, Utsubo-Hommachi 1-8-4, Nishiku, Osaka 550-0004, Japan, Institute for Multidisciplinary Research for Advanced Materials, Tohoku University, Sendai 980-8577, Japan, and Department of Earth and Space Science, Osaka University, Toyonaka, Osaka 550-0043, Japan
| | - Masato Kumauchi
- Institute for Laser Technology, Utsubo-Hommachi 1-8-4, Nishiku, Osaka 550-0004, Japan, Institute for Multidisciplinary Research for Advanced Materials, Tohoku University, Sendai 980-8577, Japan, and Department of Earth and Space Science, Osaka University, Toyonaka, Osaka 550-0043, Japan
| | - Fumio Tokunaga
- Institute for Laser Technology, Utsubo-Hommachi 1-8-4, Nishiku, Osaka 550-0004, Japan, Institute for Multidisciplinary Research for Advanced Materials, Tohoku University, Sendai 980-8577, Japan, and Department of Earth and Space Science, Osaka University, Toyonaka, Osaka 550-0043, Japan
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255
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Cembran A, Bernardi F, Olivucci M, Garavelli M. Excited-state singlet manifold and oscillatory features of a nonatetraeniminium retinal chromophore model. J Am Chem Soc 2003; 125:12509-19. [PMID: 14531695 DOI: 10.1021/ja030215j] [Citation(s) in RCA: 39] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
In this paper we use ab initio multireference Møller-Plesset second-order perturbation theory computations to map the first five singlet states (S(0), S(1), S(2), S(3), and S(4)) along the initial part of the photoisomerization coordinate for the isolated rhodopsin chromophore model 4-cis-gamma-methylnona-2,4,6,8-tetraeniminium cation. We show that this information not only provides an explanation for the spectral features associated to the chromophore in solution but also, subject to a tentative hypothesis on the effect of the protein cavity, may be employed to explain/assign the ultrafast near-IR excited-state absorption, stimulated emission, and transient excited-state absorption bands observed in rhodopsin proteins (e.g. rhodopsin and bacteriorhodopsin). We also show that the results of vibrational frequency computations reveal a general structure for the first (S(1)) excited-state energy surface of PSBs that is consistent with the existence of the coherent oscillatory motions observed both in solution and in bacteriorhodopsin.
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Affiliation(s)
- Alessandro Cembran
- Dipartimento di Chimica, Università di Siena, via Aldo Moro, Siena, I-53100 Italy
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256
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Comparing photoinduced vibrational coherences in bacteriorhodopsin and in native and locked retinal protonated Schiff bases. Chem Phys Lett 2003. [DOI: 10.1016/j.cplett.2003.10.038] [Citation(s) in RCA: 42] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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257
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Real-time observation of vibrational coherence persisting after internal conversion and vibrational relaxation in cyanine dye molecules. Chem Phys Lett 2003. [DOI: 10.1016/j.cplett.2003.08.057] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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258
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Terentis AC, Zhou Y, Atkinson GH, Ujj L. Picosecond Time-Resolved Coherent Anti-Stokes Raman Spectroscopy of the Artificial Bacteriorhodopsin Pigment, BR6.11. J Phys Chem A 2003. [DOI: 10.1021/jp030612g] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Andrew C. Terentis
- Department of Chemistry and Optical Sciences Center, University of Arizona, Tucson, Arizona 85721
| | - Yidong Zhou
- Department of Chemistry and Optical Sciences Center, University of Arizona, Tucson, Arizona 85721
| | - George H. Atkinson
- Department of Chemistry and Optical Sciences Center, University of Arizona, Tucson, Arizona 85721
| | - Laszlo Ujj
- Department of Physics, University of West Florida, Pensacola, Florida 32514
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259
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Cerullo G, Lüer L, Manzoni C, De Silvestri S, Shoshana O, Ruhman S. Time Domain Investigation of Excited-State Vibrational Motion in Organic Molecules by Stimulated Emission Pumping. J Phys Chem A 2003. [DOI: 10.1021/jp022696j] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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260
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Hayashi S, Tajkhorshid E, Schulten K. Molecular dynamics simulation of bacteriorhodopsin's photoisomerization using ab initio forces for the excited chromophore. Biophys J 2003; 85:1440-9. [PMID: 12944261 PMCID: PMC1303320 DOI: 10.1016/s0006-3495(03)74576-7] [Citation(s) in RCA: 97] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022] Open
Abstract
Retinal proteins are photoreceptors found in many living organisms. They possess a common chromophore, retinal, that upon absorption of light isomerizes and thereby triggers biological functions ranging from light energy conversion to phototaxis and vision. The photoisomerization of retinal is extremely fast, highly selective inside the protein matrix, and characterized through optimal sensitivity to incoming light. This article describes the first report of an ab initio quantum mechanical description of the in situ isomerization dynamics of retinal in bacteriorhodopsin, a microbial retinal protein that functions as a light-driven proton pump. The description combines ab initio multi-electronic state molecular dynamics of a truncated retinal chromophore model (N-methyl-gamma-methylpenta-2,4-dieniminium cation fragment) with molecular mechanics of the protein motion and unveils in complete detail the photoisomerization process. The results illustrate the essential role of the protein for the characteristic kinetics and high selectivity of the photoisomerization: the protein arrests inhomogeneous photoisomerization paths and funnels them into a single path that initiates the functional process. Supported by comparison with dynamic spectral modulations observed in femtosecond spectroscopy, the results identify the principal molecular motion during photoisomerization.
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Affiliation(s)
- Shigehiko Hayashi
- Beckman Institute, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
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261
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Friedman R, Nachliel E, Gutman M. The role of small intraprotein cavities in the catalytic cycle of bacteriorhodopsin. Biophys J 2003; 85:886-96. [PMID: 12885636 PMCID: PMC1303210 DOI: 10.1016/s0006-3495(03)74528-7] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022] Open
Abstract
The last phase of the proton transfer cycle of bacteriorhodopsin calls for a passage of a proton from D38 to D96. This reaction utilizes a narrow shaft approximately 10-A long that connects the two carboxylates that cross through a very hydrophobic domain. As the shaft is too narrow to be permanently hydrated, there are two alternatives for the proton propagation into the channel. The proton may propagate through the shaft without solvation at the expense of a high electrostatic barrier; alternatively, the shaft will expand to accommodate some water molecules, thus lowering the Born energy for the insertion of the charge into the protein (B. Schätzler, N. A. Dencher, J. Tittor, D. Oesterhelt, S. Yaniv-Checover, E. Nachliel, and G. Gutman, 2003, BIOPHYS: J. 84:671-686). A comparative study of nine published crystal-structures of bacteriorhodopsin identified, next to the shaft, microcavities in the protein whose position and surrounding atoms are common to the reported structures. Some of the cavities either shrink or expand during the photocycle. It is argued that the plasticity of the cavities provides a working space needed for the transient solvation of the shaft, thus reducing the activation energy necessary for the solvation of the shaft. This suggestion is corroborated by the recent observations of Klink et al. (B. U. Klink, R. Winter, M. Engelhard, and I. Chizhov, 2002, BIOPHYS: J. 83:3490-3498) that the late phases of the photocycle (tau >/=1 ms) are strongly inhibited by external pressure.
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Affiliation(s)
- Ran Friedman
- Laser Laboratory for Fast Reactions in Biology, Department of Biochemistry, Tel Aviv University, Tel Aviv 69978, Israel
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262
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Getzoff ED, Gutwin KN, Genick UK. Anticipatory active-site motions and chromophore distortion prime photoreceptor PYP for light activation. Nat Struct Mol Biol 2003; 10:663-8. [PMID: 12872160 DOI: 10.1038/nsb958] [Citation(s) in RCA: 97] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/18/2002] [Accepted: 06/26/2003] [Indexed: 11/08/2022]
Abstract
Protein photoreceptors use small-molecule cofactors called chromophores to detect light. Only under the influence of the receptors' active sites do these chromophores adopt spectral and photochemical properties that suit the receptors' functional requirements. This protein-induced change in chromophore properties is called photochemical tuning and is a prime example for the general--but poorly understood--process of chemical tuning through which proteins shape the reactivity of their active-site groups. Here we report the 0.82-A resolution X-ray structure of the bacterial light receptor photoactive yellow protein (PYP). The unusually precise structure reveals deviations from expected molecular geometries and anisotropic atomic displacements in the PYP active site. Our analysis of these deviations points directly to the intramolecular forces and active-site dynamics that tune the properties of PYP's chromophore to absorb blue light, suppress fluorescence, and favor the required light-driven double-bond isomerization.
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Affiliation(s)
- Elizabeth D Getzoff
- Department of Molecular Biology, The Scripps Research Institute, La Jolla, California 92037, USA.
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263
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Blomgren F, Larsson S. Initial step of the photoprocess leading to vision only requires minimal atom displacements in the retinal molecule. Chem Phys Lett 2003. [DOI: 10.1016/s0009-2614(03)01062-5] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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264
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Dugave C, Demange L. Cis-trans isomerization of organic molecules and biomolecules: implications and applications. Chem Rev 2003; 103:2475-532. [PMID: 12848578 DOI: 10.1021/cr0104375] [Citation(s) in RCA: 787] [Impact Index Per Article: 35.8] [Reference Citation Analysis] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023]
Affiliation(s)
- Christophe Dugave
- CEA/Saclay, Département d'Ingénierie et d'Etudes des Protéines (DIEP), Bâtiment 152, 91191 Gif-sur-Yvette, France.
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265
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Kawano H, Ishikawa K, Suda A, Midorikawa K. Polarization of multiple rotational Raman sidebands from hydrogen gas by delayed four-wave Raman mixing in the femtosecond regime. OPTICS LETTERS 2002; 27:1917-1919. [PMID: 18033401 DOI: 10.1364/ol.27.001917] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/25/2023]
Abstract
We demonstrate delayed four-wave Raman mixing in hydrogen gas and discuss the polarization of multiple rotational Raman radiation in the sub-100-fs regime. The mechanism of sideband generation through the interaction between a probe pulse and coherence of molecular motions induced by a pump pulse in hydrogen is revealed. One can artificially control the ellipticity of the polarization of the rotational Raman sidebands by changing the pump pulse polarization.
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266
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Saito T, Kobayashi T. Conformational Change in Azobenzene in Photoisomerization Process Studied with Chirp-Controlled sub-10-fs Pulses. J Phys Chem A 2002. [DOI: 10.1021/jp0261408] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Takashi Saito
- Department of Physics, Graduate School of Science, University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo 113-0033, Japan
| | - Takayoshi Kobayashi
- Department of Physics, Graduate School of Science, University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo 113-0033, Japan
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267
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Herbst J, Heyne K, Diller R. Femtosecond infrared spectroscopy of bacteriorhodopsin chromophore isomerization. Science 2002; 297:822-5. [PMID: 12161649 DOI: 10.1126/science.1072144] [Citation(s) in RCA: 169] [Impact Index Per Article: 7.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
Abstract
The vibrational dynamics of the retinal chromophore all-trans-to-13-cis photoisomerization in bacteriorhodopsin has been studied with mid-infrared absorption spectroscopy at high time resolution (about 200 femtoseconds). After photoexcitation of light-adapted bacteriorhodopsin, the transient infrared absorption was probed in a broad spectral region, including vibrations with dominant C-C, C=C, and C=NH stretching mode amplitude. All photoproduct modes, especially those around 1190 reciprocal-centimeters that are indicative for a 13-cis configuration of the chromophore, rise with a time constant of approximately 0.5 picosecond. The results presented give direct vibrational-spectroscopic evidence for the isomerization taking place within 0.5 picosecond, as has been suggested by previous optical femtosecond time-resolved experiments but questioned recently by picosecond time-resolved vibrational spectroscopy experiments.
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Affiliation(s)
- Johannes Herbst
- Institut für Experimentalphysik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany
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268
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Kennis JTM, Larsen DS, Ohta K, Facciotti MT, Glaeser RM, Fleming GR. Ultrafast Protein Dynamics of Bacteriorhodopsin Probed by Photon Echo and Transient Absorption Spectroscopy. J Phys Chem B 2002. [DOI: 10.1021/jp014681b] [Citation(s) in RCA: 74] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- John T. M. Kennis
- Department of Chemistry, Department of Molecular and Cell Biology, Graduate Group in Biophysics, University of California, Physical Biosciences Division, Life Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720
| | - Delmar S. Larsen
- Department of Chemistry, Department of Molecular and Cell Biology, Graduate Group in Biophysics, University of California, Physical Biosciences Division, Life Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720
| | - Kaoru Ohta
- Department of Chemistry, Department of Molecular and Cell Biology, Graduate Group in Biophysics, University of California, Physical Biosciences Division, Life Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720
| | - Marc T. Facciotti
- Department of Chemistry, Department of Molecular and Cell Biology, Graduate Group in Biophysics, University of California, Physical Biosciences Division, Life Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720
| | - Robert M. Glaeser
- Department of Chemistry, Department of Molecular and Cell Biology, Graduate Group in Biophysics, University of California, Physical Biosciences Division, Life Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720
| | - Graham R. Fleming
- Department of Chemistry, Department of Molecular and Cell Biology, Graduate Group in Biophysics, University of California, Physical Biosciences Division, Life Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720
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269
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Kano H, Kobayashi T. Real-Time Spectroscopy of the Excited-State Excitons in Porphyrin J-Aggregates. BULLETIN OF THE CHEMICAL SOCIETY OF JAPAN 2002. [DOI: 10.1246/bcsj.75.1071] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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270
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Schenkl S, Portuondo E, Zgrablić G, Chergui M, Haacke S, Friedman N, Sheves M. Ultrafast energy relaxation in bacteriorhodopsin studied by time-integrated fluorescence. Phys Chem Chem Phys 2002. [DOI: 10.1039/b205453a] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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271
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NAKA T, YAMAMOTO S, HATANO Y, YAMADA M, MIYAZAKI S. Real-time Volume Rendering of Molecular Orbital Metamorphosis According to Molecular Frame Transformation. JOURNAL OF COMPUTER CHEMISTRY-JAPAN 2002. [DOI: 10.2477/jccj.1.135] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
Affiliation(s)
- Takatoshi NAKA
- School of Computer and Cognitive Sciences, Chukyo University
| | | | - Yasuyo HATANO
- School of Computer and Cognitive Sciences, Chukyo University
| | - Masashi YAMADA
- School of Computer and Cognitive Sciences, Chukyo University
| | - Shinya MIYAZAKI
- School of Computer and Cognitive Sciences, Chukyo University
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