Abstract
Directly contrasting ultrafast excited-state dynamics in the gas and liquid phases is crucial to understanding the influence of complex environments. Previous studies have often relied on different spectroscopic observables, rendering direct comparisons challenging. Here, we apply extreme-ultraviolet time-resolved photoelectron spectroscopy to both gaseous and liquid cis-stilbene, revealing the coupled electronic and nuclear dynamics that underlie its isomerization. Our measurements track the excited-state wave packets from excitation along the complete reaction path to the final products. We observe coherent excited-state vibrational dynamics in both phases of matter that persist to the final products, enabling the characterization of the branching space of the S1–S0 conical intersection. We observe a systematic lengthening of the relaxation timescales in the liquid phase and a red shift of the measured excited-state frequencies that is most pronounced for the complex reaction coordinate. These results characterize in detail the influence of the liquid environment on both electronic and structural dynamics during a complete photochemical transformation.

This is a preview of subscription content, access via your institution
Access options
Access Nature and 54 other Nature Portfolio journals
Get Nature+, our best-value online-access subscription
$29.99 per month
cancel any time
Subscribe to this journal
Receive 12 print issues and online access
$259.00 per year
only $21.58 per issue
Rent or buy this article
Get just this article for as long as you need it
$39.95
Prices may be subject to local taxes which are calculated during checkout





Data availability
The data generated or analysed during this study are included in this published Article (and its Supplementary Information file). Source data are provided with this paper.
References
Polli, D. et al. Conical intersection dynamics of the primary photoisomerization event in vision. Nature 467, 440–443 (2010).
Engel, G. S. et al. Evidence for wavelike energy transfer through quantum coherence in photosynthetic systems. Nature 446, 782–786 (2007).
Cyr, D. R. & Hayden, C. C. Femtosecond time-resolved photoionization and photoelectron spectroscopy studies of ultrafast internal conversion in 1,3,5-hexatriene. J. Chem. Phys. 104, 771–774 (1996).
Neumark, D. M. Time-resolved photoelectron spectroscopy of molecules and clusters. Annu. Rev. Phys. Chem. 52, 255–277 (2001).
von Conta, A. et al. Conical-intersection dynamics and ground-state chemistry probed by extreme-ultraviolet time-resolved photoelectron spectroscopy. Nat. Commun. 9, 3162 (2018).
Smith, A. D. et al. Mapping the complete reaction path of a complex photochemical reaction. Phys. Rev. Lett. 120, 183003 (2018).
Squibb, R. J. et al. Acetylacetone photodynamics at a seeded free-electron laser. Nat. Commun. 9, 63 (2018).
Faubel, M., Steiner, B. & Toennies, J. P. Photoelectron spectroscopy of liquid water, some alcohols, and pure nonane in free micro jets. J. Chem. Phys. 106, 9013–9031 (1997).
Suzuki, Y.-I. et al. Isotope effect on ultrafast charge-transfer-to-solvent reaction from I− to water in aqueous NaI solution. Chem. Sci. 2, 1094–1102 (2011).
Elkins, M. H., Williams, H. L., Shreve, A. T. & Neumark, D. M. Relaxation mechanism of the hydrated electron. Science 342, 1496–1499 (2013).
Thürmer, S. et al. Photoelectron angular distributions from liquid water: effects of electron scattering. Phys. Rev. Lett. 111, 173005– (2013).
Ojeda, J., Arrell, C. A., Longetti, L., Chergui, M. & Helbing, J. Charge-transfer and impulsive electronic-to-vibrational energy conversion in ferricyanide: ultrafast photoelectron and transient infrared studies. Phys. Chem. Chem. Phys. 71, 17052 (2017).
Riley, J. W. et al. Unravelling the role of an aqueous environment on the electronic structure and ionization of phenol using photoelectron spectroscopy. J. Phys. Chem. Lett. 9, 678–682 (2018).
Nishitani, J., Yamamoto, Y.-i, West, C. W., Karashima, S. & Suzuki, T. Binding energy of solvated electrons and retrieval of true UV photoelectron spectra of liquids. Sci. Adv. 5, eaaw6896 (2019).
Jordan, I., Huppert, M., Brown, M. A., van Bokhoven, J. A. & Wörner, H. J. Photoelectron spectrometer for attosecond spectroscopy of liquids and gases. Rev. Sci. Instrum. 86, 123905 (2015).
Jordan, I. et al. Attosecond spectroscopy of liquid water. Science 369, 974–979 (2020).
Crim, F. F. Molecular reaction dynamics across the phases: similarities and differences. Faraday Discuss. 157, 9–26 (2012).
Harris, S. J. et al. Comparing molecular photofragmentation dynamics in the gas and liquid phases. Phys. Chem. Chem. Phys. 15, 6567–6582 (2013).
Syage, J., Lambert, W. R., Felker, P., Zewail, A. & Hochstrasser, R. Picosecond excitation and trans-cis isomerization of stilbene in a supersonic jet: dynamics and spectra. Chem. Phys. Lett. 88, 266–270 (1982).
Troe, J. & Weitzel, K.-M. MNDO calculations of stilbene potential energy properties relevant for the photoisomerization dynamics. J. Chem. Phys. 88, 7030–7039 (1988).
Sension, R., Repinec, S. & Hochstrasser, R. Femtosecond laser study of energy disposal in the solution phase isomerization of stilbene. J.Chem. Phys. 93, 9185–9188 (1990).
Waldeck, D. H. Photoisomerization dynamics of stilbenes in polar solvents. J. Mol. Liq. 57, 127–148 (1993).
Nikowa, L., Schwarzer, D., Troe, J. & Schroeder, J. Viscosity and solvent dependence of low-barrier processes: photoisomerization of cis-stilbene in compressed liquid solvents. J. Chem. Phys. 97, 4827–4835 (1992).
Rodier, J. M. & Myers, A. B. cis-Stilbene photochemistry: solvent dependence of the initial dynamics and quantum yields. J. Am. Chem. Soc. 115, 10791–10795 (1993).
Takeuchi, S. et al. Spectroscopic tracking of structural evolution in ultrafast stilbene photoisomerization. Science 322, 1073–1077 (2008).
Quenneville, J. & Martínez, T. J. Ab initio study of cis–trans photoisomerization in stilbene and ethylene. J. Phys. Chem. A 107, 829–837 (2003).
Schoenlein, R., Peteanu, L., Mathies, R. & Shank, C. The first step in vision: femtosecond isomerization of rhodopsin. Science 254, 412–415 (1991).
Willner, I. & Rubin, S. Control of the structure and functions of biomaterials by light. Angew. Chem. Int. Ed. Engl. 35, 367–385 (1996).
Weir, H., Williams, M., Parrish, R. M., Hohenstein, E. G. & Martínez, T. J. Nonadiabatic dynamics of photoexcited cis-stilbene using ab initio multiple spawning. J. Phys. Chem. B 124, 5476–5487 (2020).
Williams, M. et al. Unmasking the cis-stilbene phantom state via vacuum ultraviolet time-resolved photoelectron spectroscopy and ab initio multiple spawning. J. Phys. Chem. Lett. 12, 6363–6369 (2021).
Fuß, W., Kosmidis, C., Schmid, W. & Trushin, S. The lifetime of the perpendicular minimum of cis-stilbene observed by dissociative intense-laser field ionization. Chem. Phys. Lett. 385, 423–430 (2004).
Chiang, W.-Y. & Laane, J. Fluorescence spectra and torsional potential functions for trans-stilbene in its S0 and S1 (π, π*) electronic states. J. Chem. Phys. 100, 8755–8767 (1994).
Kwok, W. M. et al. Time-resolved resonance raman study of S1 cis-stilbene and its deuterated isotopomers. J. Raman Spectrosc. 34, 886–891 (2003).
Kukura, P. Structural observation of the primary isomerization in vision with femtosecond-stimulated Raman. Science 310, 1006–1009 (2005).
Schapiro, I. et al. The ultrafast photoisomerizations of rhodopsin and bathorhodopsin are modulated by bond length alternation and HOOP driven electronic effects. J. Am. Chem. Soc. 133, 3354–3364 (2011).
Fdez. Galván, I., Delcey, M. G., Pedersen, T. B., Aquilante, F. & Lindh, R. Analytical state-average complete-active-space self-consistent field nonadiabatic coupling vectors: implementation with density-fitted two-electron integrals and application to conical intersections. J. Chem. Theory Comput. 12, 3636–3653 (2016).
Pollak, E. Transition state theory for photoisomerization rates of trans-stilbene in the gas and liquid phases. J. Chem. Phys. 86, 3944–3949 (1987).
Chudoba, C., Riedle, E., Pfeiffer, M. & Elsaesser, T. Vibrational coherence in ultrafast excited state proton transfer. Chem. Phys. Lett. 263, 622–628 (1996).
Takeuchi, S. & Tahara, T. Femtosecond absorption study of photodissociation of diphenylcyclopropenone in solution: reaction dynamics and coherent nuclear motion. J. Chem. Phys. 120, 4768–4776 (2004).
Takeuchi, S. & Tahara, T. Coherent nuclear wavepacket motions in ultrafast excited-state intramolecular proton transfer: sub-30-fs resolved pump-probe absorption spectroscopy of 10-hydroxybenzo[h]quinoline in solution. J. Phys. Chem. A 109, 10199–10207 (2005).
Monni, R. et al. Vibrational coherence transfer in the ultrafast intersystem crossing of a diplatinum complex in solution. Proc. Natl Acad. Sci. USA 115, E6396–E6403 (2018).
Banin, U., Waldman, A. & Ruhman, S. Ultrafast photodissociation of I3− in solution: direct observation of coherent product vibrations. J. Chem. Phys. 96, 2416–2419 (1992).
von Conta, A., Huppert, M. & Wörner, H. J. A table-top monochromator for tunable femtosecond XUV pulses generated in a semi-infinite gas cell: experiment and simulations. Rev. Sci. Instrum. 87, 073102 (2016).
Perry, C. F. et al. Ionization energy of liquid water revisited. J. Phys. Chem. Lett. 11, 1789–1794 (2020).
Walt, S. G. et al. Role of multi-electron effects in the asymmetry of strong-field ionization and fragmentation of polar molecules: the methyl halide series. J. Phys. Chem. A 119, 11772–11782 (2015).
Walt, S. G. et al. Dynamics of valence-shell electrons and nuclei probed by strong-field holography and rescattering. Nat. Commun. 8, 15651 (2017).
Svoboda, V., Ram, N. B., Rajeev, R. & Wörner, H. J. Time-resolved photoelectron imaging with a femtosecond vacuum-ultraviolet light source: dynamics in the Ã/B~- and F~-bands of SO2. J. Chem. Phys. 146, 084301 (2017).
Belyaev, A. K., Lasser, C. & Trigila, G. Landau–Zener type surface hopping algorithms. J. Chem. Phys. 140, 224108 (2014).
Suchan, J., Janoš, J. & Slavíček, P. Pragmatic approach to photodynamics: mixed Landau–Zener surface hopping with intersystem crossing. J. Chem. Theory Comput. 16, 5809–5820 (2020).
Ceriotti, M., Bussi, G. & Parrinello, M. Colored-noise thermostats à la Carte. J. Chem. Theory Comput. 6, 1170–1180 (2010).
Hollas, D., Muchová, E. & Slavíček, P. Modeling liquid photoemission spectra: path-integral molecular dynamics combined with tuned range-separated hybrid functionals. J. Chem. Theory Comput. 12, 5009–5017 (2016).
Hollas, D., Suchan, J., Ončák, M. & Slavíček, ABIN v1.1 (2018), source code available at https://github.com/PHOTOX or 10.5281/zenodo.1228463
GLE4MD input library, see http://gle4md.org
Dral, P. O. et al. Semiempirical quantum-chemical orthogonalization-corrected methods: theory, implementation, and parameters. J. Chem. Theory Comput. 12, 1082–1096 (2016).
Silva-Junior, M. R. & Thiel, W. Benchmark of electronically excited states for semiempirical methods: MNDO, AM1, PM3, OM1, OM2, OM3, INDO/S, and INDO/S2. J. Chem. Theory Comput. 6, 1546–1564 (2010).
Janoš, J. et al. Conformational control of the photodynamics of a bilirubin dipyrrinone subunit: femtosecond spectroscopy combined with nonadiabatic simulations. J. Phys. Chem. A 124, 10457–10471 (2020).
Dewar, M. J. & Thiel, W. Ground states of molecules. 38. The MNDO method. Approximations and parameters. J. Am. Chem. Soc. 99, 4899–4907 (1977).
Werner, H.-J., Knowles, P. J., Knizia, G., Manby, F. R. & Schütz, M. Molpro: a general-purpose quantum chemistry program package. Wiley Interdiscip. Rev. Comput. Mol. Sci. 2, 242–253 (2012).
Plasser, F. et al. Efficient and flexible computation of many-electron wave function overlaps. J. Chem. Theory Comput. 12, 1207–1219 (2016).
Acknowledgements
We thank T. Martinez, H. Weir and M. Williams for discussions and for providing the data shown in Supplementary Fig. 7a. We acknowledge financial support from ETH Zürich and the Swiss National Science Foundation through grant 200021_172946 (H.J.W.). Z.Y. acknowledges financial support from an ETH Career Seed Grant No SEED-12 19-1/1-004952-000. C.W. additionally acknowledges support from the National Natural Science Foundation of China (Grant Nos 11534004, 11627807, 11774130) and the financial support from Jilin University. J.S. and P.S. are grateful for the financial support of the Czech Science Foundation (Grant No. 21-26601X, EXPRO project). J.S. is a student of the International Max Planck Research School ‘Many-Particle Systems in Structured Environments’.
Author information
Authors and Affiliations
Contributions
H.J.W. and C.W. conceived the experiments. C.W., M.D.J.W. and V.S. conducted the gas-phase measurements. P.Z. and C.W. conducted the liquid-phase measurements with the support of T.T.L., Z.Y. and C.P. Data analysis was performed by C.W., P.Z., T.T.L., V.S. and M.D.J.W. H.J.W supervised the experimental part of the study. All time-dependent calculations were performed by J.S. and P.S. Additional ab initio calculations were provided by M.D.J.W. Space–charge effects were simulated by P.Z. All authors contributed to the interpretation of the results and to the preparation and finalization of the manuscript.
Corresponding authors
Ethics declarations
Competing interests
The authors declare no competing interests.
Peer review
Peer review information
Nature Chemistry thanks Thomas Weinacht and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.
Additional information
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Extended data
Extended Data Fig. 1
The experimental setup for the liquid-phase TRPES measurements.
Extended Data Fig. 2
The experimental setup for the gas-phase measurements.
Supplementary information
Supplementary Information File
Supplementary Figs. 1–13, text and Tables 1–17.
Supplementary Data
Readable versions of tables in Supplementary Section 8.
Source data
Source Data Fig. 2
Plotted data in numerical format.
Source Data Fig. 3
Plotted data in numerical format..
Source Data Fig. 4
Plotted data in numerical format
Rights and permissions
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Wang, C., Waters, M.D.J., Zhang, P. et al. Different timescales during ultrafast stilbene isomerization in the gas and liquid phases revealed using time-resolved photoelectron spectroscopy. Nat. Chem. 14, 1126–1132 (2022). https://doi.org/10.1038/s41557-022-01012-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1038/s41557-022-01012-0