Fundamental studies of chemical reactions often draw molecular dynamics along a reaction coordinate in a calculated or suggested potential energy surface (PES) 1-5 . But fully mapping such dynamics experimentally, by following all nuclear motions in a timeresolved manner, that is the motions of wavepackets, is challenging and has not even been realized for the simple stereotypical bimolecular reaction 6-8 of A-B + C → A + B-C. Here we report such tracking of vibrational wavepacket trajectories during photo-induced bond formation in the gold trimer complex [Au(CN)2 -]3 in an aqueous solution, using femtosecond x-ray solution scattering (liquidography 9-12 ) at x-ray free electron lasers 13,14 . We find that the complex forms from an assembly of three monomers A, B and C clustered together through non-covalent interactions 15,16 and with the distance between A and B shorter than between B and C. Tracking of the wavepacket in three-dimensional nuclear coordinates (RAB, RBC, and RAC) reveals that within the first 60 fs after photoexcitation, a covalent bond forms between A and B to give A-B + C. The second covalent bond, between B and C, subsequently forms within 360 fs to give a linear and covalently-bonded trimer complex A-B-C. The trimer exhibits harmonic vibrations that we are also able to map, and unambiguously assign to specific normal modes using only the experimental data. More intense x-rays can in principle visualize the motion of not only highly-scattering atoms such as gold but also of lighter atoms such as carbon and nitrogen, which will open the door for the direct tracking of the atomic motions involved in many chemical reactions.The [Au(CN)2 -]3 complex has served as a valuable model system for studying photoinitiated processes in solution. Irradiation with ultraviolet light excites it from the ground state (S0) to the singlet state (S1), which within 20 fs undergoes intersystem crossing to reach a triplet excited state (T1') 18 . A further transition from T1' to another triplet excited state (T1) then occurs with a time constant of 1~2 ps, completing formation of covalent bonds and transformation of the complex from a bent to a linear structure 9,17,18 (see the Supplementary Information (SI) for details of the notations of electronic states).Formation of the bonds could involve any of the three possible candidate trajectories sketched in Fig. 1b. The equilibrium structure in the ground state determines the position of the

Energy, structure, and charge are fundamental quantities characterizing a molecule. Whereas the energy flow and structure change in chemical reactions are experimentally characterized, determining the atomic charges of a molecule in solution has been elusive, even for a triatomic molecule such as triiodide ion, I3−. Moreover, it remains to be answered how the charge distribution is coupled to the molecular geometry; which I-I bond, if two I-I bonds are unequal, dissociates depending on the electronic state. Here, femtosecond anisotropic x-ray solution scattering allows us to provide the following answers in addition to the overall rich structural dynamics. The analysis unravels that the negative charge of I3− is highly localized on the terminal iodine atom forming the longer bond with the central iodine atom, and the shorter I-I bond dissociates in the excited state, whereas the longer one in the ground state. We anticipate that this work may open a new avenue for studying the atomic charge distribution of molecules in solution and taking advantage of orientational information in anisotropic scattering data for solution-phase structural dynamics.

Bismuth triiodide, BiI3, is one of the simplest bismuth halides, which have recently attracted considerable attention because of their promising properties. Here, we investigate the structural dynamics of a photoinduced reaction of BiI3 in solution phase using time-resolved X-ray liquidography (TRXL) and density functional theory (DFT) and time-dependent DFT (TDDFT) calculations. The photoreaction was initiated by excitation at 400 nm, which corresponds to the ligand-to-metal charge-transfer transition. The detailed structures and kinetic profiles of all relevant intermediate species from the TRXL data show that the trigonal planar structure of BiI3, which is predicted to be the most stable structure of the lowest excited state by TDDFT calculation, was not observed, and the photoreaction proceeds via two parallel pathways within the time resolution of 100 ps: (i) isomer formation to produce iso-BiI2–I, which relaxes back to the ground-state structure, and (ii) dissociation into BiI2· and I· radicals, which nongeminately recombine to generate ground-state BiI3 and I2.