Collision energy dependence of angular distributions for vibrational excitation of H2 by He

Angular distributions for the vibrational excitation of H₂ by He have been obtained assuming that H₂ is a rotationless anharmonic oscillator. A set of two coupled-channel scattering equations has been solved for all orbital angular momenta, for the n = 0 to n = 1 transition. Increasing the collision energies from twice to six times the first vibrational excitation energy changes intensities in the center of mass frame from backward peaked into forward peaked.     

Anharmonicity in rotational and vibrational excitation of H2 by Li+ collisions

Integral cross sections for pure rotational and vibrational-rotational excitation of H₂(X¹Σ⁺_g) by Li⁺(¹S) impact are computed by close-coupling methods at 0.2, 0.6, and 1.2 eV in the c.m. system using vibrational functions that are numerical solutions of the one-dimensional radial Schrödinger equation for harmonic, Morse, and adiabatically corrected Kolos-Wolniewicz (KW) potential functions. Comparison of results employing KW and Morse functions shows excellent agreement for all transitions studied. Findings using harmonic oscillator functions, however, differ noticeably from KW and Morse values for vibrational (0 → 1) and very large rotational (Δj = 10) transitions, but are satisfactory for lower order (0 → 2, 4, 6, 8) rotational transitions.     

Cross sections and rate constants for rotational excitation of NH3 colliding with H2(j = 0) and H2(j = 1)

Rate constants for rotational excitation of NH₃ colliding with H₂ in the temperature range 50–300 K have been calculated using the semiclassical coupled states method.     

Comparison of quantum mechanical and semiclassical cross sections and rate constants for vibrational relaxation of N2 and CO colliding with 4He

Semiclassical cross sections and rate constants for vibrational/rotational relaxation of CO and N₂ colliding with ⁴He are compared with quantum coupled-states calculations. If the same analytical potential energy surface is used good agreement is obtained. It is also shown that the small cross sections are very sensitive to the representation of the surface.     

Calculation of differential cross sections for rotational excitation in D2 + CO collisions at 87.2 meV

Differential cross sections for rotational excitation in D₂ + CO collisions are calculated at six scattering angles using an electron gas surface and a semiclassical scattering theory in which the translational and the rotational motion of CO are treated classically whereas the D₂ rotation is quantized.     

The effect of vibrational excitation in the reactions of OH with H2

Upper limits have been deduced at T ≈ 298 K for the rates of chemical reactions of hydroxyl, OH(υ = 0) and OH³ (υ = 1), with vibrationally excited hydrogen, H³₂(υ = 1). These are 3.3. × 10¹² and 5.7 × 10¹² cm³/mole s, respectively.     

Measurements of rotational relaxation cross sections for H2CO

Cross sections for the 1₁₁, 1₁₀, 2₁₂, and 2₁₁ rotational states and for total beam attenuation of H₂CO were measured using a beam maser spectrometer. Significant inelastic scattering in the forward direction was obtained for He and CF₃H. Significant inelastic contributions were not observed using H₂ as a scattering gas. Observed cross sections for the 1₁₁ state are larger than those for the 1₁₀ state. The relations of the present cross sections to various models for obtaining a low excitation temperature for the 1₁₁-1₁₀ doublet of formaldehyde in interstellar space is discussed.     

Effect of rotation on vibrational excitation of H2 by Li impact

Coupled channel calculations of integral cross sections for rotational and vibrational excitation of H₂(X¹Σ⁺_g by collision with Li⁺ are reported for 1.2 eV in the c.m. system employing an ab initio potential energy surface and numerical vibration—rotation functions of the Koo?s—Wolniewicz potential function including adiabatic correction. Pure rotational excitation is found to strongly dominate the inelastic scattering occurring at this energy. Preparation of H₂ in various allowed non-zero rotational states is seen to enhance the 0 → 1 vibrational cross section by approximately an order of magnitude.     

Classical rotational cross sections for H2—HD and HD—HD collisions

Classical trajectory calculations of integral cross sections for rotationally inelastic collisions of HD-para H₂ and HD—HD were carried out for a wide variety of transitions over a wide range of initial relative translational energies. The results of the HD—H₂ calculations were compared with the quantum effective potential calculations of Chu. It was found that the classical method is in reasonably good agreement with the quantum method for the calculation of rotational transitions of HD at the higher initial translational energies, but the classical method is in poor agreement with quantum results for HD excitation at low energies and for H₂ excitations at all energies.     

Isotope effects and excitation functions for the reactions of S(D)+H2, D2 and HD

Excitation functions for the title reactions were determined from 0.6 to 6 kcal/mol. Contrary to the analogous reaction of O( ¹D), it appears that the reaction of S( ¹D) proceeds solely through insertion over this energy range. Compared to other reactions, an intriguing H/D isotope effect was revealed. The propensity of the intramolecular H/D branching found under thermal conditions for A+HD reactions appears to be reverse for a supersonically cooled HD reagent. This finding implies that the reagent rotation could have profound influences on radical reactivity not only for an activated abstraction reaction, but for a barrierless inserted one.     

Semi-classical calculations of rotational/vibrational transitions in Li+ − H2

Some semi-classical calculations of rot/vib transitions in Li⁺ ? H₂ at 0.869, 1.469 and 3.919 eV total energy are presented. Comparison with recent quantum mechanical and classical S-matrix calculations is made.     

Semiclassical calculation of cross sections and rate constants for vibrational deactivation of HD (v = 1) colliding with 4He

A semiclassical collision model has been used to calculate the rate constant for vibrational relaxation in HD (v = 1, j = 0) colliding with ⁴He. The He + HD potential surface was obtained from an analytical He + H₂ surface previously used for similar calculations on He + H₂ and He + D₂. The theoretically calculated rate constant is about 50% below that experimentally determined in the temperature range 80–300 K.     

Calculation of recombination rate constants in (H2?O2) system

Rate constants of the three-body recombination for the elementary three-molecule stages in hydrogen oxydation have been calculated.

---

, .

     

Endothermic reactions of Ni+ with H2, HD and D2

An ion-beam apparatus is employed to study the reaction of Ni⁺ with H₂, HD, and D₂ as a function of kinetic energy. These reactions lead to the endothermic formation of NiH⁺, NiH⁺ and NiD⁺, and NiD⁺, respectively. Interpretation of the threshold for these processes yields the average bond energies, D⁰(Ni⁺H) = 1.86 ± 0.09 eV and D⁰(Ni⁺D) = 1.90 ± 0.14 eV. The total reaction cross sections for all three systems are similar; however, a striking isotope effect is observed for Ni⁺ reacting with HD. The dependence of the cross sections on relative kinetic energy is discussed in terms of simple models for reaction.     

Mixed-pole terms in the anisotrophy of the long-range interaction coefficients for H2He and H2H2

It is shown that mixed-pole terms can make significant, and even dominant, contributions to the anisotropy of the long-range interaction C₈ coefficients for H₂He and H₂H₂.     

The diffraction of H2, D2 from solid LiF

The collision of H₂ and D₂ molecules with the (001) face of LiF is studied theoretically using the close coupling formalism. The method includes excited states of the diatomic molecule but neglects all couplings to phonons or the possibility of fragmentation of the incident molecule. Using a simple model potential a series of calculations for comparison with experimental data is carried out. Excellent agreement is obtained with the trends obeserved experimentally, and the quantitative agreement is also good.     

The maximum kinetic mechanism and rate constants in the H2?O2 system

The maximum (in a combinatorial sense) kinetic mechanism of hydrogen oxidation is defined and the rate constants of all elementary steps are given. The possible error limit is given for each elementary step.

---

( ) . .

     

Cross sections and rate constants for the vibrational relaxation of D2 (υ = 1,j = 0) in collisions with 4He

Fully converged quantum cross sections for ⁴He—D² (υ = 1,j = 0) vibrational relaxation were determined using the coupled-states method and a modified version of the Gordon—Secrest surface. First-order forbidden rotational transitions play a significant role, comparable to that observed previously for the He—H₂ system. At 60 K the υ = 1,j = 0 level of D₂ is predicted to relax ≈4 times slower than the corresponding level of H₂. This difference decreases with increasing temperature.     

Origin of the variation with vibrational and rotational state of the fine-structure constants in O2, SO and S2

Calculations of the spin—orbit part λ_SO of the fine-structure parameter λ have been performed at several internuclear distances for the molecules O₂, SO and S₂ in their ground (X ³Σ^?) states. Only the interaction with the lowest ¹Σ⁺ state was considered and two-centre integrals were neglected. λ_SO is found to make the dominant contribution to λ. The variation of the matrix elements in λ_SO with internuclear distance has been derived and when combined with expressions for the variation of the energy denominator in λ_SO enables the coefficients for the vibrational and rotational dependence of λ to be estimated. Excellent agreement with experiment is found.     

A possible transition state for the H2 + D2 exchange reaction

A proposal for a possible transition state for the H₂ + D₂ exchange reaction follows from an analysis of the Jahn-Teller instability of tetrahedral H₄. The suggested pathway involves pseudo-rotation in the e deformation space, with a compressed tetrahedral structure corresponding to the reaction saddle point.