The dynamical study of O(1D) + HCl(v = 0, j = 0) reaction at hyperthermal collision energies
© Ge et al.; licensee Chemistry Central Ltd. 2013
Received: 17 March 2013
Accepted: 7 November 2013
Published: 15 November 2013
The quasi-classical trajectory calculations for O(1D) + HCl → OH + Cl (R1) and O(1D) + HCl → ClO + H (R2) reactions have been performed at hyperthermal collision energies (60.0, 90.0, and 120.0 kal/mol) on the 1A' state. Reaction probabilities and integral cross sections are calculated. The product rotational distributions for the two channels, and the product rotational alignment parameters are investigated. Also, the alignment and the orientation of the products have been predicted through the angular distribution functions (concerning the initial/final velocity vector, and the product rotational angular momentum vector). To have a deeper understanding of the natures of the vector correlation between reagent and product relative velocities, a natural generalization of the differential cross section __PDDCS00, is calculated.
The OH + Cl channel is the main product channel and is observed to have essentially isotropic rotational distributions. The ClO + H channel is found to be clearly rotationally polarized.
The dynamical, especially the stereodynamical characters are quite different for the two channels of the title reaction. Most reactions occur directly, except for R2 reaction at the collision energies of 60.0 and 120.0 kcal/mol. The alignment and orientation effects are weak/strong for R1/R2 reaction. The well structure on the potential energy surface and hyperthermal collision energies might result in the dynamical effects.
Considerable attention has been devoted to the O(1D) + HCl reaction [1–22], due in part, to its significant role in stratospheric chemistry. Using ab initio self consistant field (SCF) and configuration interaction (CI) methods, Bruna et al.  reported potential curves for the ground and various valence and Rydberg excited states of HOCl and HClO. The angular and velocity distributions of ClO product from the reaction of O(1D) + HCl at 12.2 kcal/mol collision energy were calculated in a crossed-molecular-beam study in Ref. . Experimentally, the reactions of O(1D) + HCl → OH + Cl and OCl + H were studied at an average collision energy of 7.6, 7.7, and 8.8 kcal/mol through the resonance-enhanced multiphoton ionization technique . Nascent state-resolved ClO (X2П) radicals produced in reaction of O(1D) with HCl were measured by employing the technique of vacuum-ultraviolet laser-induced fluorescence . Hernandez et al.  calculated the potential energy surface (PES) of the O(1D) + HCl reaction and performed a quasi-classical trajectory (QCT) study on this PES. Cross sections over the collision energy range of 0.0-20.0 kcal/mol were presented and product angular distributions were given at the collision energies of 7.6 and 12.2 kcal/mol. Alvariño et al.  studied the dependence of calculated product rotational polarization on the scattering angle for the title reaction using QCT method. An accurate ab initio HOCl PES was constructed by Skokov et al.  in 1998. Through a QCT calculation , the product angular distribution and dihedral angle distribution for the ClO forming process are performed together with product vibrational distribution for the OH forming process. The quantum and QCT reaction probabilities (RPs)  were presented over the collision energy range of 2.3-18.4 kcal/mol by Christoffel et al.. At the collision energy of 12.2 kcal/mol, integral cross sections (ICSs) for vibrational states summed over rotational states for the ClO and OH products, and translational energy distributions of the ClO product were also performed . Based on Ref. , a global PES was constructed for the X1A' electronic ground state of HOCl including the accurate HClO isomer . Vibrational energy levels and intensities were computed for both HOCl and HClO up to the OH + Cl dissociation limit and above the isomerization barrier using the PES of Ref. . Bittererová et al.  performed a wave-packet calculation to study the effect of reactant rotation and alignment on product branching in the O(1D) + HCl → ClO + H, OH + Cl reactions using the PES of Ref. . A new fit to extensive ab initio calculations of a global potential  and the quantum wave packet calculations of the O(1D) + HCl → ClO + H, OH + Cl reactions were reported by Bittererová et al. . Accurate time-dependent wavepacket calculation for the O(1D) + HCl reaction was carried out by Lin et al. . Recently, we have studied the effects of the collision energy and reagent vibrational excitation on the reaction of O(1D) + HCl → OH + Cl .
However, most of these studies were focused on the case of low collision energies. As well known, hyperthermal collisions act a part in the chemistry of extreme environments, such as those encountered in plasma, rocket plumes, and space vehicles in low-earth orbit. The hyperthermal O + HCl chemistry plays an important role in the reacting flows coming from the interaction of a jet and the rarefied atmosphere , and we need the data of accurate reaction cross sections and branching ratios at high collision energies to assess its importance. The dynamics of high-energy collisions remains mostly unexplored, and there are only a few studies concerned with the O(3P) + HCl reaction [24, 25].
As noted in Ref. , when the collision energy is below 0.55 eV (12.68 kcal/mol), the quantum integral cross sections (ICSs) display an inverse dependence on the collision energy, and the OH product is favoured over the ClO product. But what will happen when the collision energy is hyperthermal?
In this paper, based on the recent-developed 1A' PES , a quasi-classical trajectory (QCT) calculation is performed on the O(1D) + HCl(v = 0, j = 0) reaction so as to study the dynamical, especially the stereodynamical characteristics at hyperthermal collision energies. To evaluate the importance of the hyperthermal O + HCl chemistry, RPs, cross sections and branching ratios at high collision energies are investigated. Also, our investigation can provide necessary data to the hyperthermal O + HCl chemistry. The products for R1 and R2 reactions have hot rotational populations. Alignment and orientation effects are shown through two angular distribution functions. The scattering directions of the products are also studied through the PDDCS00 results. The statistical errors are marked as error bars in the Figures.
Methodology and computational details
where bmax denotes the maximum value of the impact parameter b.
The associated uncertainties with the ICS can be calculated according to Δσ = [(Ntot − Nr)/(Ntot · Nr)]1/2σ.
The angular brackets 〈⋯〉 in Eq. (14) represent the average over all angles.
The initial ro-vibrational quantum numbers of the HCl reactant are set as v = 0, and j = 0. 1,000,000 trajectories are used on the 1A' electronic states at the collision energies of 60.0, 90.0 and 120.0 kcal/mol. The time integral step size is 10-4 ps. The maximum values of impact parameter bmax are 2.80/1.15 (60.0 kcal/mol), 2.81/1.55 (90.0 kcal/mol), and 2.86/1.05 (120.0 kcal/mol) for R1/R2 reaction and the unit is in Angstrom.
Results and discussion
The results for R1 and R2 reactions are found to be quite different due to the different dynamical reaction channels, which can also be observed in the two (HF and DF) product channels of F + HD reaction .
RPs and ICSs
The branching ratios are about 0.0056(± 0.000075), 0.0042(± 0.000084) and 0.0002(± 0.000011) at the collision energies of 60.0, 90.0 and 120.0 kcal/mol in due order. It is obvious that the branching ratio rapidly decreases with the increase in the collision energy. The branching ratios are much smaller than those at the lower collision energies [2, 3, 12, 14].
The product rotational distributions (PRDs)
As mentioned in Refs. [35–37], vector correlation of angular momentum orientation and alignment in chemical reactions can provide rich information on the reaction dynamics. By analyzing the alignment parameters, two angular distributions (P(θ r ) and P(φ r )), and PDDCS00, we can get a view of the stereodynamical information of the title reaction.
The product rotational alignment
For R2 reaction, the P2 values at the three collision energies are approaching to -0.5, which indicates that the product rotation strongly aligned perpendicular to the reagents’ relative velocity k. This is a typical feature of the HHL system [6, 26, 35, 36]. A significant feature of this kind of reaction is the kinematic limit, i.e., the initial orbital angular momentum l completely goes into the product rotational angular momentum j', which leads to the alignment character. This is consistent with the alignment of Li + HF → LiF + H [35, 36]. The significant disposal of angular momentum in the product orbital motion, l → j' + l' declines the product rotational alignment, particularly at lower collision energies, so the calculated P2 values deviate slightly from -0.5, which could also be supported by the P(θ r ) results.
According to the results of H++D2(v = 0, j = 0) → HD(v’ , j’) + D+ reaction , the alignment of rotational angular momentum of HD products is nearly always close to zero due to the long-lived resonances. However, H++D2(v = 0, j = 0) → HD(v’ , j’) + D+ reaction belongs to Light light-light (LLL) scheme, and in the reference  the alignment is state-resolved, however, our results are the sum of all states. So there are different results for the alignment parameters. And through the observation of three internuclear distances with the propagation of collision time, we can find that the reactions proceed directly except for the collision energies of 60.0 and 120.0 kcal/mol for R2 reaction.
P(θ r ) distributions
For R1 reaction shown in Panel (a), the largest peak appears at θ r = 90° at Ecol = 60.0 kcal/mol. At the collision energy of 90.0 kcal/mol, the largest peaks are around θ r = 90°, 20° and 160°. Around θ r = 26° and 154°, there are the largest two peaks at Ecol = 120.0 kcal/mol.
For R2 reaction shown in Panel (b), it is a HHL system, with the mass factor – approaching to zero, which manifests that the product rotational alignment is strong with regard to the initial velocity vector k, which could be also observed through the alignment parameter in Figure 5(b) and P(φ r ) distributions in Figure 7(b).
P(φ r ) distributions
P(φ r ) describes the k-k'-j' correlation, which reflects the polarization of product rotational angular momentum j'. The P(φ r ) distribution is asymmetric with respect to the k-k' scattering plane (i.e. at about φ r = 180°), which could be explained by the impulse model  as mentioned above.
For R2 reaction in Figure 7(b), the largest peaks appear around φ r = 0° (or 360°)/ φ r = 180°, implying that the ClO molecular axis vector orients along x/–x axis.
PDDCS00 is proportional to DCS, which can be used to describe the k-k' correlation. Through PDDCS00, we can study the scattering direction of the product.
For ClO + H products (R2 reaction), as shown in Figure 8(b), the distribution is observed to be almost backward-forward symmetric with backward scattering being slightly favoured, except for the case of Ecol = 90.0 kcal/mol. We can deduce that part of the reaction occurs via a long-lived complex and part via direct abstraction of Cl atom, which is also a remarkable conclusion of Ref. [2, 5]. Moreover, the peaks locate close to θ t = 90°. H atom (with very slight mass) is one of the products, so the reduced mass of the products is also very small, which causes the products orbital angular momentum l' to be smaller than the products rotational angular momentum j' and the final relative velocity vector k' no longer to be remained in the xz plane. Of course, the scattering of the products is still cylindrically symmetric around z axis (k). So, the separation of H atom and ClO molecule is almost along the direction that perpendicular to the incoming direction of O atom (i.e. the direction of k). This results in the dominant population of the products along θ t = 90°. In Figure 9(b), the oscillating structures at the collision energies of 60.0 and 120.0 kcal/mol show that the complexes have long lifetimes compared with the reaction period. Also obviously, the direct reaction occurs at the collision energy of 90.0 kcal/mol.
For the title reaction, the dynamics of the two product channels through a QCT calculation have been investigated. The RPs, cross sections and branching ratios at high collision energies have been presented and it is found that branching ratio rapidly decreases with the increase of the collision energy. The products are rotationally hot for both R1 and R2 reactions. The alignment and the orientation of the products have been studied, together with the scattering distributions. The HLH channel— OH + Cl (R1 reaction) is the main one as described before. R1 is observed to have essentially isotropic rotational distributions. On the contrary, the HHL one— ClO + H (R2 reaction) is found to be clearly rotationally polarized. The phenomena are probably due to the well structure of the PES and the hyperthermal collision energies. Through PDDCS00 results of the O + HCl channel, it is obvious that the impact time is short and that direct reaction dominates. We attribute this to the hyperthermal collisions. However, indirect reactions dominate for the ClO + H channel at the collision energies of 60.0 and 120.0 kcal/mol.
The work was supported by the National Natural Science Foundation of China (Grant Nos. 21073110, 11204159 and 21203108), and Natural Science Foundation of Shandong Province, China (Grand No. ZR2012AQ002).
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