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Mechanistic Insights into Sulfuric Acid Formation in the Atmosphere via First-Principles Simulations
Manar Al-Kharusi1, Ali Kachmar1, Nidhal Sulaiman1
1College of Science, Department of Physics, Sultan Qaboos University, P.O. Box 36, P.C. 123 Muscat, Oman.
Sulfuric acid formation is crucial for atmospheric nucleation. Density functional theory calculations reveal key reaction pathways and energy barriers, identifying DC-r2SCAN and r2SCAN as efficient computational methods.
Area of Science:
- Atmospheric Chemistry
- Computational Chemistry
- Chemical Physics
Background:
- Sulfuric acid (H2SO4) plays a vital role in atmospheric nucleation and the formation of cloud condensation nuclei (CCN).
- Understanding the formation pathways of H2SO4 is essential for atmospheric modeling and predicting climate impacts.
Purpose of the Study:
- To investigate the formation of sulfuric acid (H2SO4) from sulfur dioxide (SO2) using density functional theory (DFT).
- To compute reaction and activation energies for three key reactions involved in H2SO4 formation.
- To evaluate the performance of various DFT functionals, including r2SCAN and DC-r2SCAN, for describing these atmospheric reactions.
Main Methods:
- Density Functional Theory (DFT) calculations were employed.
- Several DFT flavors were utilized: PBE, r2SCAN, DC-r2SCAN, CAM-B3LYP, and PBE0.
- Reaction and activation energies were computed for SO2 oxidation, HOSO2 + O2 reaction, and SO3 hydrolysis.
Main Results:
- Reaction R1 (SO2 oxidation) showed a reaction energy of -23.845 kcal/mol and activation energy of -0.628 kcal/mol with DC-r2SCAN.
- Reaction R2 (HOSO2 + O2) exhibited a small but significant activation barrier of 1.225 kcal/mol at the CAM-B3LYP/6-31G** level, contrary to previous assumptions.
- Reaction R3 (SO3 hydrolysis) yielded a reaction energy of -23.218 kcal/mol and an activation energy of 5.648 kcal/mol using r2SCAN/TZV2P.
Conclusions:
- The study highlights the importance of computational methods like r2SCAN and DC-r2SCAN for accurately describing sulfuric acid formation.
- These DFT functionals offer a computationally efficient alternative to high-level methods for atmospheric chemistry research.
- The findings provide valuable data for improving atmospheric models related to nucleation and cloud formation.
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In a multistep reaction mechanism, one of the elementary steps progresses significantly slower than the others. This slowest step is called the rate-limiting step (or rate-determining step). A reaction cannot proceed faster than its slowest step, and hence, the rate-determining step limits the overall reaction rate.
The concept of rate-determining step can be understood from the analogy of a 4-lane freeway with a short-stretch of traffic-bottleneck caused due to...

