Bimolecular Collisions Research Articles

Complex Formation in Three-Body Reactions of Cl- with H2.

Three-body reaction rates of Cl– with H2 to form the weakly bound complex Cl–(H2) are measured between 10 and 26 K in a linear radio-frequency wire trap. Formation of larger clusters of the form Cl–(H2)2 are also observed. The three-body (or termolecular) rate coefficients follow the form aT–1, with a = 1.12(2) × 10–29 cm6 K s–1. Reverse reactions to repopulate the Cl– parent ion were measured, even though the binding energy of the complex makes bimolecular dissociative collisions energetically inaccessible at low temperatures. The back-reaction was found to be proportional to the cube of the hydrogen density, suggesting that the dissociation mechanism depends on multiple collisions. Comparisons of the rate coefficients measured in a 16-pole wire trap and a 22-pole trap demonstrate significantly lower ion temperatures in the wire trap.

Reactions of Photoionization-Induced CO-H2O Cluster: Direct Ab Initio Molecular Dynamics Study.

The hydrocarboxyl radical (HOCO) is an important species in combustion and astrochemistry because it is easily converted to CO2 after hydrogen reduction. In this study, the formation mechanism of the HOCO radical in a CO–H2O system was investigated by direct ab initio molecular dynamics calculations. Two reactions were examined for HOCO formation. First, the reaction dynamics of the CO–H2O cluster cation, following the ionization of the neutral parent cluster CO(H2O)n (n = 1–4), were investigated. Second, the bimolecular collision reaction between CO and (H2O)n+ was studied. In the ionization of the CO(H2O)n clusters (n = 3 and 4), proton transfer, expressed as CO(H2O)n+ → CO–(OH)H3O+(H2O)n–2, occurred within the (H2O)n+ cluster cation, and the HOCO radical was yielded as a product upon addition of CO and OH. This reaction proceeds under zero-point energy. Also, this radical was effectively formed from the collision reaction of CO with water cluster cation (H2O)n+, expressed as CO + OH(H3O+)(H2O)n–2 → HOCO–H3O+ + (H2O)n–2. If the intermolecular vibrational stretching mode is excited in the CO(H2O)n cluster (vibrational stretching between CO and the water cluster), the HOCO radical was detected after ionization when n = 2. The reaction mechanism was discussed based on the theoretical results.

PAHs controlling soot nucleation in 0.101—0.811MPa ethylene counterflow diffusion flames

On the heels of a recent study in an atmospheric pressure ethylene diffusion flame in which the transition from parent fuel molecule to Polycyclic Aromatic Hydrocarbons (PAHs) and, eventually, soot was studied by spatially resolved measurements of PAH concentrations and soot quantities, we extended the focus to diffusion flames with self- similar structure in the 0.101–0.811 MPa pressure range. To that end, we complemented pyrometry based measurements of soot volume fraction with light scattering measurements that, once corrected for beam steering, yielded soot particle size and number concentration profiles. A chemistry model, that had been validated for all species up to 3 ring aromatics in one of the flames investigated at each pressure and up to 4-rings for the flame at atmospheric pressure, was used to compare profiles of chemical species to those of soot quantities. Further analysis yielded the assessment of number nucleation rates of soot and their comparison to the dimerization rates of PAHs. Soot nucleation rate is consistent only with the dimerization of one- and two-ring PAHs, an observation that confirms findings in the atmospheric pressure flame. Changes in pressure and temperature have a progressively larger impact on the concentration of aromatics of increasingly larger molecular weight and, even more so, on soot volume fraction and nucleation rate. A four-fold increase in pressure from 0.101 MPa to 0.405 MPa increases the soot nucleation rate and PAH dimerization rate in flames with constant peak temperature, which is primarily a concentration effect on bimolecular collision rates; a similar but less pronounced effect is observed in the higher (0.405–0.811 MPa) pressure range. Changes in pressure and temperature tend to be progressively more consequential on aromatics of increasing molecular weight and soot.

A chemical dynamics study of the HCl + HCl+ reaction

A recent guided ion beam study of the HCl + HCl+ reaction has revealed two different products [Phys. Chem. Chem. Phys.2015, 17 (25), 16454–16461]. The first is the proton transfer product, H2Cl+ + Cl, where the cross section of the reactions associated with this product, as predicted, monotonically decreases as the collision energy between the product increases. The second is the product HCl+ + HCl, where the cross section of the reaction shows a local maximum at the collision energy of 0.5 eV. The nature of this unusual behavior of the cross section is not clear. In this manuscript, state of the art ab initio molecular dynamics (AIMD) simulation is performed to study this bimolecular collision of HCl+ + HCl. The potential energy of profile of this system is first characterized with high-level ab initio methods, and then a computationally efficient method is selected for AIMD simulation. The cross sections from AIMD agree well with those from the experiments for both products. The AIMD trajectories reveal the complexity of this seemingly-simple reaction – a total of five different pathways that result in the aforementioned two products. The simulation also sheds light on the mystery of the local maximum of the cross section regarding the HCl+ + HCl product.

Hydrogen Dissociation Dynamics from Water Clusters on Triplet-State Energy Surfaces.

The ice surface provides two-dimensional reaction fields for bimolecular collisions in interstellar space. As H2O molecules on the surface are typically exposed to cosmic rays, H2O in the excited state is easily dissociated into H + OH, where a H atom is released from the surface to the gas phase. In the present study, the reaction dynamics of small-sized water clusters on the triplet-state potential energy (T1) surface, following the vertical electronic excitation from the ground state (S0), were investigated using direct ab initio molecular dynamics to provide insights into the generation mechanism of H atoms from an irradiated ice surface. In all clusters, that is, (H2O)n (n = 2-6), the H atom was directly dissociated from one of the H2O molecules in the clusters (direct dissociation), whereas the OH radical remained in the cluster. In the branched form of H2O tetramer (n = 4) and the book form of H2O hexamer (n = 6), the dissociated hydrogen atom (H') collided with the neighboring H2O molecule, and the exchange of H atoms occurred as H' + H2O → H'-H2O (collision) → H'OH + H (hydrogen exchange). The translational energy of the exchanged H atom decreases significantly (by approximately 50%) because the kinetic energy of the H' atom is efficiently transferred to the vibrational modes of the cluster during the H-exchange reaction. The mechanism of H atom dissociation is discussed based on theoretical results.

Oxygen Transport Parameter in Plasma Membrane of Eye Lens Fiber Cells by Saturation Recovery EPR.

A probability distribution of rate constants contained within an exponential-like saturation recovery (SR) electron paramagnetic resonance signal can be constructed using stretched exponential function fitting parameters. Previously (Stein et al. Appl. Magn. Reson. 2019.), application of this method was limited to the case where only one relaxation process, namely spin-lattice relaxations due to the rotational diffusion of the spin labels in the intact eye-lens membranes, contributed to an exponential-like SR signal. These conditions were achieved for thoroughly deoxygenated samples. Here, the case is described where the second relaxation process, namely Heisenberg exchange between the spin label and molecular oxygen that occurs during bimolecular collisions, contributes to the decay of SR signals. We have further developed the theory for application of stretched exponential function to analyze SR signals involving these two processes. This new approach allows separation of stretched exponential parameters, namely characteristic stretched rates and heterogeneity parameters for both processes. Knowing these parameters allowed us to separately construct the probability distributions of spin-lattice relaxation rates determined by the rotational diffusion of spin labels and the distribution of relaxations induced strictly by collisions with molecular oxygen. The later distribution is determined by the distribution of oxygen diffusion concentration products within the membrane, which forms a sensitive new way to describe membrane fluidity and heterogeneity. This method was validated in silico and by fitting SR signals from spin-labeled intact nuclear fiber cell plasma membranes extracted from porcine eye lenses equilibrated with different fractions of air.

Interpretation of the Nature of the Mixed Form of Resonance Lines of the Electron Paramagnetic Resonance Spectrum in a New Paradigm of Spin Exchange: Abnormal "Resonance" of Non-Resonant Spins.

It is shown that the asymmetric shape of lines in the electron paramagnetic resonance spectra of paramagnetic particle solutions caused by spin exchange in bimolecular particle collisions is due to the fact that, in the experiment, under the conditions of slow spin exchange, an absorption signal of nominally resonant spins and a "resonance" dispersion signal of nominally nonresonant spins with an abnormal phase of their quantum coherence are registered simultaneously. The mixing of these two signals is different for different resonance lines in the observed spectrum. A phenomenological model is proposed that can be used to find the phase of the "resonance" signal of non-resonant spins. The obtained results can be transferred to other systems to study the mechanisms of spectral diffusion, for example, chemical exchange by magnetic resonance methods.

Manifestation of the Transfer of Coherence in Spectroscopy: A New Paradigm of Spin Exchange and Its Manifestations in EPR Spectra

The transfer of spin coherence leads to surprising effects in electron paramagnetic resonance (EPR) spectroscopy. This is demonstrated by the example of quantum coherence transfer caused by exchange interaction in bimolecular collisions of paramagnetic particles in dilute solutions. Detailed analysis of the role of quantum coherence transfer has altered the paradigm of spin exchange and its manifestation in the EPR spectra of solutions of paramagnetic particles.

New Paradigm of Spin Exchange and its Manifestations in EPR Spectroscopy

Theoretical results are presented, which have been confirmed experimentally and became basis for a new paradigm of spin exchange between paramagnetic particles in solutions and measurement of the spin exchange rate by EPR spectroscopy. Fundamental changes in the basics of spin exchange in solutions are associated with the transfer of coherence back from the interaction partner. It was shown that the transfer of spin coherence in random bimolecular collisions creates collective modes of evolution of quantum coherence of electron spins of paramagnetic particles. The EPR spectrum is the sum of the resonance lines. In the case of a slow spin coherence transfer, each spectral line has a mixed shape, it is the sum of the symmetric absorption line and the antisymmetric dispersion line. In the case of fast spin coherence transfer, only one collective mode is manifested in the EPR spectrum, the other modes are not manifested, since they are very weakly excited by the external microwave field, and they can be considered as forbidden lines in the spectrum or “dark” modes. The establishment of the mixed shape of the spectrum individual lines has fundamentally changed the protocol for finding the rate of bimolecular spin exchange caused by the exchange interaction. In the current existing paradigm, the contribution of the dipole–dipole interaction to the spin coherence transfer was mistakenly neglected.

Singlet (1Δg) O2 as an efficient tropospheric oxidizing agent: the gas phase reaction with the simplest Criegee intermediate.

The reaction between CH2OO and 1Δg O2 has been investigated by means of high level quantum chemical and chemical kinetic calculations. Post-CCSD(T) corrections in terms of full triplets and partial quadratic excitations, along with core corrections have been employed to estimate the reaction energetics. The title reaction was found to be effectively barrierless with the transition state lying -22.85 kcal mol-1 below the isolated reactants. Rate coefficients under tropospheric conditions have been calculated using the master equation. The calculated rate coefficient was found to be marginally over the gas kinetic limit, implying that the reaction rate would be limited by the upper limit of bimolecular collision frequency. When compared against ˙OH and O3, 1O2 was found to compete efficiently with the two well known tropospheric oxidants.

Quantum control of molecular rotation

The angular momentum of molecules, or, equivalently, their rotation in three-dimensional space, is ideally suited for quantum control. Molecular angular momentum is naturally quantized, time evolution is governed by a well-known Hamiltonian with only a few accurately known parameters, and transitions between rotational levels can be driven by external fields from various parts of the electromagnetic spectrum. Control over the rotational motion can be exerted in one-, two- and many-body scenarios, thereby allowing to probe Anderson localization, target stereoselectivity of bimolecular reactions, or encode quantum information, to name just a few examples. The corresponding approaches to quantum control are pursued within separate, and typically disjoint, subfields of physics, including ultrafast science, cold collisions, ultracold gases, quantum information science, and condensed matter physics. It is the purpose of this review to present the various control phenomena, which all rely on the same underlying physics, within a unified framework. To this end, we recall the Hamiltonian for free rotations, assuming the rigid rotor approximation to be valid, and summarize the different ways for a rotor to interact with external electromagnetic fields. These interactions can be exploited for control --- from achieving alignment, orientation, or laser cooling in a one-body framework, steering bimolecular collisions, or realizing a quantum computer or quantum simulator in the many-body setting.

An unexpected spin flip alters the course of a chemical reaction

Careful analysis of a bimolecular collision reveals that gas-phase chemistry still holds surprises.

Identifying Collisions of Various Molecularities in Molecular Dynamics Simulations.

We present a method based on kinetic molecular theory that identifies reactions of various molecularities in molecular dynamics (MD) simulations of bulk gases. The method allows characterization of the thermodynamic conditions at which higher than bimolecular reactions are a factor in the mechanisms of complex gas-phase chemistry. Starting with Bodenstein's definition of termolecular collisions we derive analytical expressions for the frequency of higher molecularity collisions. We have developed a relationship for the ratio of the frequencies of termolecular to bimolecular collisions in terms of the temperature, density, and collision times. To demonstrate the method, we used ReaxFF in LAMMPS to carry out MD simulations for NVT ensembles of mixtures of H2-O2 over the density range 120.2-332.7 kg m-3 and temperature range 3000-5000 K. The simulations yield ReaxFF-based predictions of the relative importance of termolecular collisions O2···H2···O2 and bimolecular collisions O2···H2 in the early chemistry of hydrogen combustion.

Tagging fullerene ions with helium in a cryogenic quadrupole trap

Helium tagging of charged C60q+ ions (q = 1–3) has been used for measuring electronic and infrared gas phase spectra, allowing astronomers to improve the identification of fullerenes in space. Here, we present a detailed study of the attachment of He to cold mass selected fullerene ions. Experiments were performed in the temperature variable radio frequency (rf) ion trap ISORI at high He densities and a few K. For all three charge states, the ternary rate coefficients for forming He-C60q+ are below 10−31 cm6s–1 and all three show temperature dependences, proportional to exp(-T/T0) with T0.< 1.5 K. While most of our knowledge on the interaction of C60+ with He atoms comes from ab initio calculations, from gas phase ion mobility experiments, and from fullerene ions ejected from He-droplets, the sequential addition of He to C60q+ in ter- or maybe bimolecular collisions provides complementary information. Our experimental results are tentatively explained with difficulties to form and stabilize the short-lived He-fullerene complexes while relaxation of hot fullerenes in collisions with cold He seems to be rather efficient. Severe restrictions are due to the fact that thermalized C60q+ ions behave like fast rotating rigid spheres. Despite the low efficiency in attaching the first He, measurements reveal a fast subsequent growth as soon as a few He atoms stick to the fullerene. In the case of triply charged ions, almost all primaries can be quickly converted into the particular structure He32-C603+. IR excitation of this thermalized complex with one 1329 cm-1 photon provides interesting insight into the decay kinetics.

Perspective: The development and applications of H Rydberg atom translational spectroscopy methods.

Determining the product velocities offers one of the most direct and penetrating experimental probes of the dynamics of gas phase molecular photodissociation and bimolecular collision processes and provides an obvious point of contact with theoretical molecular dynamics simulations, potential energy surfaces, and non-adiabatic couplings between such surfaces. This perspective traces the development of the H Rydberg atom translational spectroscopy technique from a serendipitous first encounter through to the present, highlights the advances that make it the method of choice for studying many benchmark photofragmentation and photoinduced collision processes that yield H (or D) atoms amongst the products, and anticipates some future opportunities afforded by the technique.

Scattering of CO with H2O: Statistical and classical alternatives to close-coupling calculations.

Energy transfer in inelastic atom-molecule and molecule-molecule collisions can be described theoretically using the quantum-mechanical close-coupling method. Unfortunately, for bimolecular collisions implying heavy colliders and/or for which the potential energy surface has a deep well, the resulting coupled equations become numerically intractable and approximate methods have to be employed. H2O-CO collisions provide an important example for which close-coupling calculations are not feasible. In this paper, we investigate the accuracy of three approximate methods (the coupled states method, the quasi-classical trajectory method, and the statistical adiabatic channel model) to describe inelastic collisions of H2O with CO. We perform scattering calculations on a recent 5D potential energy surface, and we compare the results of the three approximate methods to fully converged close-coupling calculations at energies below 300 cm-1 and at low values of the total angular momentum. We show that the statistical method provides an attractive alternative to fully quantum mechanical close-coupling calculations at low collision energies, while the quasi-classical method is more advantageous at high energies.

Are Nonadiabatic Reaction Dynamics the Key to Novel Organosilicon Molecules? The Silicon (Si(3P))-Dimethylacetylene (C4H6(X1A1g)) System as a Case Study.

The bimolecular gas phase reaction of ground-state silicon (Si; 3P) with dimethylacetylene (C4H6; X1A1g) was investigated under single collision conditions in a crossed molecular beams machine. Merged with electronic structure calculations, the data propose nonadiabatic reaction dynamics leading to the formation of singlet SiC4H4 isomer(s) and molecular hydrogen (H2) via indirect scattering dynamics along with intersystem crossing (ISC) from the triplet to the singlet surface. The reaction may lead to distinct energetically accessible singlet SiC4H4 isomers (1p8-1p24) in overall exoergic reaction(s) (-107-20+12 kJ mol-1). All feasible reaction products are either cyclic, carry carbene analogous silylene moieties, or carry C-Si-H or C-Si-C bonds that would require extensive isomerization from the initial collision complex(es) to the fragmenting singlet intermediate(s). The present study demonstrates the first successful crossed beams study of an exoergic reaction channel arising from bimolecular collisions of silicon, Si(3P), with a hydrocarbon molecule.

Toward the detection of the triatomic negative ion SPN-: Spectroscopy and potential energy surfaces.

High level theoretical calculations using coupled-cluster theory were performed to provide an accurate description of the electronic structure, spectroscopic properties, and stability of the triatomic negative ion comprising S, N, and P. The adiabatic electron affinities (AEAs) and vertical detachment energies (VDEs) of PNS, SPN, PSN, and cyc-PSN were calculated. The predicted AEA and VDE of the linear SPN isomer are large: 2.24 and 3.04 eV, respectively. The potential energy surfaces (PESs) of the lowest-lying electronic states of the SPN- isomer along the PN and SP bond lengths and bond angle were mapped. A set of spectroscopic parameters for SPN-, PNS-, and PSN- in their electronic ground states is obtained from the 3D PESs to help detect these species in the gas phase. The electronic excited state SPN-(12A″) is predicted to be stable with a long lifetime calculated to be 189.7 μs. The formation of SPN- in its electronic ground state through the bimolecular collision between S- + PN and N + PS- is also discussed.

Mechanism and rate constant of proline-catalysed asymmetric aldol reaction of acetone and p-nitrobenzaldehyde in solution medium: Density-functional theory computation

In search of new ways to improve catalyst design, the current research focused on using quantum mechanical descriptors to investigate the effect of proline as a catalyst for mechanism and rate of asymmetric aldol reaction. A plausible mechanism of reaction between acetone and 4-nitrobenzaldehyde in acetone medium was developed using highest occupied molecular orbital (HOMO) and lowest unoccupied molecular orbital (LUMO) energies calculated via density functional theory (DFT) at the 6-31G∗/B3LYP level of theory. New mechanistic steps were proposed and found to follow, with expansion, the previously reported iminium-enamine route of typical class 1 aldolase enzymes. From the elementary steps, the first step which involves a bimolecular collision of acetone and proline was considered as the rate-determining step, having the highest activation energy of 59.07 kJ mol−1. The mechanism was used to develop the rate law from which the overall rate constant was calculated and found to be 4.04×10-8dm3mol-1s-1. The new mechanistic insights and the explicit computation of the rate constant further improve the kinetic knowledge of the reaction.

Molecular collisions: A crash course in energy transfer

High-resolution experimental and theoretical velocity map imaging data explain the intricate and conterintuitive mechanism of bimolecular collisions.