Structure of hydrogen tetroxide in gas phase and in aqueous environments: relationship to the hydroperoxyl radical self-reaction

Permutation-Invariant-Polynomial Neural-Network-Based Δ-Machine Learning Approach: A Case for the HO2 Self-Reaction and Its Dynamics Study

Δ-machine learning, or the hierarchical construction scheme, is a highly cost-effective method, as only a small number of high-level ab initio energies are required to improve a potential energy surface (PES) fit to a large number of low-level points. However, there is no efficient and systematic way to select as few points as possible from the low-level data set. We here propose a permutation-invariant-polynomial neural-network (PIP-NN)-based Δ-machine learning approach to construct full-dimensional accurate PESs of complicated reactions efficiently. Particularly, the high flexibility of the NN is exploited to efficiently sample points from the low-level data set. This approach is applied to the challenging case of a HO₂ self-reaction with a large configuration space. Only 14% of the DFT data set is used to successfully bring a newly fitted DFT PES to the UCCSD(T)-F12a/AVTZ quality. Then, the quasiclassical trajectory (QCT) calculations are performed to study its dynamics, particularly the mode specificity.

Quantum Chemical Study of Supercritical Carbon Dioxide Effects on Combustion Kinetics

In oxy-fuel combustion, the pure oxygen (O₂), diluted with CO₂ is used as oxidant instead air. Hence, the combustion products (CO₂ and H₂O) are free from pollution by nitrogen oxides. Moreover, high pressures result in the near-liquid density of CO₂ at supercritical state (sCO₂). Unfortunately, the effects of sCO₂ on the combustion kinetics are far from being understood. To assist in this understanding, in this work we are using quantum chemistry methods. Here we investigate potential energy surfaces of important combustion reactions in the presence of the carbon dioxide molecule. All transition states and reactant and product complexes are reported for three reactions: H₂CO + HO₂ → HCO + H₂O₂ (R1), 2HO₂ → H₂O₂ + O₂ (R2), and CO + OH → CO₂ + H (R3). In reaction R3, covalent binding of CO₂ to the OH radical and then the CO molecule opens a new pathway, including hydrogen transfer from oxygen to carbon atoms followed by CH bond dissociation. Compared to the bimolecular OH + CO mechanism, this pathway reduces the activation barrier by 5 kcal/mol and is expected to accelerate the reaction. In the case of hydroperoxyl self-reaction 2HO₂ → H₂O₂ + O₂ the intermediates, containing covalent bonds to CO₂ are found not to be competitive. However, the spectator CO₂ molecule can stabilize the cyclic transition state and lower the barrier by 3 kcal/mol. Formation of covalent intermediates is also discovered in the H₂CO + HO₂ → HCO + H₂O₂ reaction, but these species lead to substantially higher activation barriers, which makes them unlikely to play a role in hydrogen transfer kinetics. The van der Waals complexation with carbon dioxide also stabilizes the transition state and reduces the reaction barrier. These results indicate that the CO₂ environment is likely to have a catalytic effect on combustion reactions, which needs to be included in kinetic combustion mechanisms in supercritical CO₂.

Potential Energy Surfaces for the Reactions of HO2 Radical with CH2O and HO2 in CO2 Environment

We report on potential energies for the transition state, reactant, and product complexes along the reaction pathways for hydrogen transfer reactions to hydroperoxyl radical from formaldehyde H₂CO + HO₂ → HCO + H₂O₂ and another hydroperoxyl radical 2HO₂ → H₂O₂ + O₂ in the presence of one carbon dioxide molecule. Both covalently bonded intermediates and weak intermolecular complexes are identified and characterized. We found that reactions that involve covalent intermediates have substantially higher activation barriers and are not likely to play a role in hydrogen transfer kinetics. The van der Waals complexation with carbon dioxide does not affect hydrogen transfer from formaldehyde, but it lowers the barrier for hydroperoxyl self-reaction by nearly 3 kcal/mol. This indicates that CO₂ environment is likely to have catalytic effect on HO₂ self-reaction, which needs to be included in kinetic combustion mechanisms in supercritical CO₂.