Electronic Free Energy Surface of the Nitrogen Dimer Using First-Principles Finite Temperature Electronic Structure
William Z Van Benschoten1, Hayley R Petras1, James J Shepherd1
1Department of Chemistry, University of Iowa, Iowa City, Iowa 52242, United States.
The Journal of Physical Chemistry. A
|August 3, 2023
Summary
The nitrogen dimer bond strengthens with rising temperature due to internal energy, but weakens with entropy. Thermally driven dissociation occurs at extremely high temperatures, between 22,000-63,200 K.
Area of Science:
- Computational chemistry
- Quantum mechanics
- Materials science
Background:
- The behavior of diatomic molecules at high temperatures is crucial for understanding chemical reactions and material properties.
- Nitrogen dimer (N2) is a fundamental molecule with a strong triple bond, often used as a benchmark in theoretical studies.
Purpose of the Study:
- To investigate the electronic free energy surface of the nitrogen dimer at various temperatures.
- To understand the competing effects of internal energy and entropy on the nitrogen-nitrogen bond strength.
- To predict the temperature range for thermally driven dissociation of the nitrogen dimer.
Main Methods:
- Full configuration interaction (FCI) and density matrix quantum Monte Carlo (DMQMC) methods were employed.
- Calculations were performed within the free-energy Born-Oppenheimer approximation.
- The electronic free energy surface was analyzed at different temperatures and bond lengths.
Main Results:
- A temperature regime was identified where internal energy leads to nitrogen-nitrogen bond strengthening.
- Entropy contributions were found to be essential for observing bond weakening at elevated temperatures.
- Thermally driven dissociation of the nitrogen dimer is predicted between 22,000 K and 63,200 K, influenced by symmetries and basis set.
Conclusions:
- The study reveals a counterintuitive bond strengthening at moderate temperatures before dissociation.
- The inclusion of spatial and spin symmetries significantly lowers the predicted dissociation temperature.
- Analysis of the density matrix structure provides insight into the temperature-dependent bonding behavior.
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