Supplementary Information for "Determining the Structure of the N2Ar van der Waals Complex with Laser-Based Channel-Selected Coulomb Explosion" Chengyin Wu,1,2,*, Cong Wu,1 Di Song,3 Hongmei Su,3,* Xiguo Xie,1 Min Li,1 Yongkai Deng,1 Yunquan Liu,1,2 and Qihuang Gong,1,2 1State Key Laboratory for Mesoscopic Physics, Department of Physics, Peking University, Beijing 100871, People’s Republic of China 2Collaborative 3State Innovation Center of Quantum Matter, Beijing, China Key Laboratory of Molecular Reaction Dynamics, Beijing National Laboratory for Molecular Sciences, Institute of Chemistry, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China In the experiment, we combined a femtosecond laser amplifier and a newly-built reaction microscope1 to reconstruct the structure of the N2Ar van der Waals complex with laser-based channel-selected Coulomb explosion. The van der Waals complex was generated by expanding the mixtures of N2 and Ar with a ratio of ~ 1:1 through a 30 μm nozzle with a driving pressure of 8 bars. The laser pulse with 25 fs duration centered at 780 nm was produced from a Ti:Sapphire laser system (Femtolasers, GmbH). The ions produced in the laser-molecule interaction were collected by a temporal and position-sensitive detector (RoentDek, Germany). To ensure that all fragmental ions originate from the same target molecule, we controlled the reaction chamber pressure to be lower than 3×10-10 mbar so that there is less than one ionization event within one laser pulse. The ionization events were then recorded in the event-by-event list-mode file. One of the advantages of the reaction microscope is that the data of all reaction channels can be recorded in one experiment. In the off-line analysis, the data from different reaction channels can be disentangled by designing some constraints to filter the experimental data. For example, when we study three-body fragmentation channels of multiply charged N2Ar ions, we can design the following constraints. 1) One argon atomic ion and two nitrogen atomic ions are detected in one laser pulse. 2) The sum-momentum of the three detected ions is less than 10 atomic units to ensure that the three atomic ions are generated from the same reactant target. 3) The momentum of each ion is greater than 30 atomic units to rule out false coincidence. With these constraints to filter the experimental data, we can obtain precise data for three-body fragmentation channels of multiply charged N2Ar ions. Figure S1 shows two-dimensional momentum distributions (P// and P) in the center-of-mass coordinate frame for argon atomic ions and nitrogen atomic ions generated in the three-body fragmentation of N2Ar ions with varied charge states. The laser pulse duration is 25 fs and the central wavelength is 780 nm. The laser intensity was estimated to be around 1.3×1015 W/cm2 according to the yield ratio of Ar2+ to Ar+.2 The P// and P represent the momentum vectors parallel and perpendicular to the laser polarization axis, respectively. The color represents the counting number of the atomic ions with specified two-dimensional momentum vectors. According to these raw experimental data, we can calculate the kinetic energy release distribution and plot the Newton diagram for the three-body fragmentation of N2Ar ions. When we plot the Newton diagram, we need to define a xoy plane and rotate the momentum vectors of the three atomic ions to this plane. In addition, the momentum vector of the argon atomic ion is along the positive part of the x axis. The definition of xoy plane and the rotation operation are purely a mathematical operation. The operation doesn’t change the absolute value of each three momentum vector nor the angle between either two of them. Then the momentum vectors of the three atomic ions are normalized to the length of the argon atomic ion momentum vector. Thus formed Newton diagram is shown in Figure 1 in the manuscript for the three-body fragmentation process of N2Ar ions. Figure S1: (Color online) Experimentally measured two-dimensional momentum distributions of argon atomic ions and nitrogen atomic ions produced in the three-body fragmentation process of N2Ar ions. Supplement references: 1 2 C. Wu, C. Wu, Y. Yang, Z. Wu, X. Liu, X. Xie, H. Liu, Y. Deng, Y Liu, H. Jiang, and Q. Gong, J. Mod. Opt. 60, 1388 (2013). T. Weber, M. Weckenbrock, A. Staudte, L. Spielberger, O. Jagutzki, V. Mergel, F. Afaneh, G. Urbasch, M. Vollmer, H. Giessen, and R. Dorner, J. Phys. B: At. Mol. Opt. Phys. 33, L127 (2000).