Supplemental material for “Ultrafast Excited State Dynamics of Spirilloxanthin in Solution and Bound to Core Antenna Complexes: Identification of the S* and T1 States” Daisuke Kosumia,b*, Satoshi Marutaa,b, Tomoko Horibea,b, Yuya Nagaokaa, Ritsuko Fujiib,c, Mitsuru Sugisakia,b,c, Richard J. Cogdelld, and Hideki Hashimotoa,b,c* a The Osaka City University Advanced Research Institute for Natural Science and Technology (OCARINA), 3-3-138 Sugimoto, Sumiyoshi-ku, Osaka, 558-8585 Japan b c d JST/CREST, 4-1-8 Hon-chou, Kawaguchi, Saitama, 332-0012 Japan Department of Physics, Graduate School of Science, Osaka City University, 3-3-138 Sugimoto, Sumiyoshi-ku, Osaka, 558-8585 Japan Glasgow Biomedical Research Centre, University of Glasgow, 126 University Place, Glasgow, G12 8QQ, Scotland, UK * Corresponding authors: Tel +81-6-6605-2529, e-mail kosumi@sci.osaka-cu.ac.jp (D.Kosumi), Tel +81-6-6605-3627, e-mail hassy@sci.osaka-cu.ac.jp (H. Hashimoto) Estimation of the number of photons absorbed by the S2 state of spirilloxanthin under the excitation condition at 2.07 eV. When chromatophores from Rhodospirillum (Rsp.) rubrum S1 are excited at 2.07 eV, the excitation pulse is resonant to the red edge of the Qx band of bacteriochlorophyll (Bchl) a, as shown in Fig. 1. Additionally, the S2 state of spirilloxanthin (Spx) can be also excited. Here, we estimate the number of photons absorbed by the S2 state under the excitation condition at 2.07 eV. The absorption spectrum of S2 of Spx bound to the protein complex can be extracted by subtraction of the steady-state absorption spectrum of Rsp. rubrum G9 (carotenoidless mutant) from Rsp. rubrum S1. The subtracted absorption spectrum of Spx. is shown in Fig. S1(a), well agreeing with that of Spx in benzene shown in Fig.1. The spectra of the excitation pulse and steady-state absorption of Spx slightly overlap. In order to estimate how many S2 and Qx absorb photons under the excitation condition at 2.07 eV, we calculate an overlap integral between the excitation and the absorption band of S2 or Qx. A value of an overlap integral between excitation pulse and absorption band is proportional to the number of excited molecules. First, we calculated the 0-0 band of S2 of Spx by the fit to the subtracted absorption spectrum using a Gaussian function (the dash-dotted line in Fig. 1(b)). Next, we calculated the Qx band of Bchl a by the same procedure. The Qx absorption region (1.95~2.20 eV) involves the red-edge of the 0-0 band of S2 and the contribution from scattering (as chromatophores from Rsp. rubrum S1 (G9) are vesicles). We calculated the Qx band of Bchl a (the dashed and double-dotted line in Fig. S1(b)) including these contributions. Finally, we calculated an overlap integral between the excitation and the absorption bands of S2 and Qx. A relative value of overlap integral for Qx and S2 was determined to be 14.8, suggesting that direct excitation to S2 of Spx is essentially negligible. Global analysis based on a combining model Previous ultrafast spectroscopic study on an artificial light-harvesting complex demonstrated that the excitation intensity dependence of S1 and S* can be explained by combining sequential energy flow of S2→S1→S* (hot S0)→S0 and generation of S* (hot S0) by impulsive stimulated Raman scattering (ISRS). Therefore, we analyze the obtained kinetics of Spx in benzene and bound to core complexes using this combining model. Fig. S5 represents species-associated difference spectra (SADS) of Spx in benzene and bound to core complexes based on a combining mode. The SADS based on a combining model are identical with those using a sequential model, suggesting that impulsive stimulated Raman process less contributed to the generation of S* in our excitation condition (intensity of 5 nJ/pulse and pulse width of 80 fs). Table S1: The obtained rise/decay time constants of Rsp. rubrum S1 and G9 after excitation into the Qx band. Rsp. rubrum G9 50 fs Qx 700 fs singlet annihilation 14 ps hot Qy 180 ps Qy Rsp. rubrum S1 30 fs Qx 250 fs hot S1 1.4 ps S1 5.8 ps S* > 400 ps T1 180 ps Qy Figure S1 1000 800 1 (a) Q y Wavelength (nm) 600 400 Rsp. rubrum S1 Rsp. rubrum G9 Rsp. rubrum S1-G9 0.5 Absorbance/Intensity Qx exc. 0 0.6 0.5 0.4 Soret S2 Qx 2 3 Photon Energy (eV) Rsp. rubrum S1 Rsp. rubrum S1-G9 fit to the 0-0 band of S2 fit to the Qx band excitation (b) 0.3 0.2 0.1 0 1.8 baseline 2 2.2 2.4 2.6 Photon Energy (eV) 2.8 Figure S1: (a) The steady-state absorption spectra of Rsp. rubrum S1 and G9 and the difference absorption spectrum between Rsp. rubrum S1 and G9. The steady-state absorption spectra of Rsp. rubrum S1 and G9 are normalized at their Soret bands. (b) Enlargement of the spectral region of the Spx absorption. Figure S2 Wavelength (nm) 600 Absorbance Change 700 Rsp. rubrum S1 (a) 0 1.0 ps 100 ps (x3) 0 1.6 6 5 Scaled A 500 1.8 2 2.2 2.4 Photon Energy (eV) 2.6 (b) 4 3 2 1 0 0 T1+S* (1.0 ps) S1 (+S*) (1.0 ps) S0 (1.0 ps) T1 (100 ps) 20 40 60 80 100 Excitation Intensity (nJ/pulse) Figure S2: (a) Photo-induced absorption spectra of Rsp. rubrum S1 taken at 1.0 and 100 ps after excitation at 2.25 eV (excitation intensity was set to 5 nJ/pulse). (b) Excitation intensity dependence of absorbance changes of Rsp. rubrum S1, given by excitation at 2.25 eV. The signals were monitored at energies indicated by the arrows in the panel of (a). Figure 3 (a) 0 0 2.45 eV 2.45 eV Rsp. rubrum S1 Qx exc. Absorbance Change Absorbance Change Rsp. rubrum S1 Qx exc. 2.19 eV 0 0 2.10 eV 2.19 eV 0 0 2.10 eV 2.00 eV 2.00 eV 0 0 0 1 (b) 2 3 Delay Time (ps) 4 5 0 Rsp. rubrum G9 Qx exc. 10 20 Delay Time (ps) 30 Rsp. rubrum G9 Qx exc. 2.45 eV Absorbance Change Absorbance Change 2.45 eV 0 2.19 eV 0 0 2.10 eV 0 2.19 eV 0 0 2.10 eV 2.00 eV 2.00 eV 0 0 0 1 2 3 Delay Time (ps) 4 5 0 10 20 Delay Time (ps) 30 Figure S3: Kinetic traces of photo-induced absorption signals of (a) Rsp. rubrum S1 and (b) Rsp. rubrum G9 after excitation to the Qx band at 2.07 eV. Solid lines are the best fits. Normalized Absorbance Change Figure S4 Wavelength (nm) 600 700 (a) 0 500 Rsp. rubrum S1 G9 1.0 ps 100 ps (x3) 0 1.6 4 1.8 2 2.2 2.4 Photon Energy (eV) 2.6 Scaled A (b) 3 2 1 0 0 T1+S* (1.0 ps) T1 (100 ps) S1 (1.0 ps) 100 Excitation Intensity (nJ/pulse) 200 Figure S4: (a) Photo-induced absorption spectra of Rsp. rubrum S1 and G9 taken at 1.0 and 100 ps after excitation to the Qx band of Bchl a at 2.07 eV (excitation intensity was set to 20 nJ/pulse). (b) Excitation intensity dependence of absorbance changes of Rsp. rubrum S1, given by excitation at 2.07 eV. The signals were monitored at energies indicated by the arrows in the panel of (a). Figure S5 700 Wavelength (nm) 600 in benzene 0.01 500 70 fs (S2) 300 fs (hot S1) 1.4 ps (S1) 5.8 ps (S*) in protein complexes Qx hot S1 Qy S1 0 Absorbance Change S2 T1 -0.01 0.01 S* Rsp. rubrum S1 Spx Bchl (sequential+ISRS) 0 -0.01 -0.02 1.6 40 fs (S2) 250 fs (hot S1) 1.4 ps (S1) 5.8 ps (S*) 1 ns (T1) 1.8 2 2.2 2.4 Photon Energy (eV) 2.6 Figure S5: Species-associated difference spectra of Spx in benzene and Rsp. rubrum S1 obtained by the global fit based on a combining model (sequential and ISRS). Here, we assumed that S* is the vibrational hot ground state. The kinetic models are also represented. Figure S6 Wavelength (nm) 600 550 500 Normalized Absorbance Change 650 Spx in benzene 0 1.0 ps 10 ps Rsp. rubrum S1 0 2 2.2 2.4 Photon Energy (eV) 2.6 Figure S6: A comparison of the bleaching signal of Spx in benzene and Rsp. rubrum S1 taken at 1.0 ps (solid lines) and 6.0 ps (dashed lines). The spectra are normalized at 2.43 eV for Spx in benzene and at 2.42 eV for Rsp. rubrum S1.