Skip to main content

VWSCC logo Virtual Winter School on Computational Chemistry

CET

Cecam Logo

Special Challenges When Studying Anions

Monday 27th Jan 2025

Chemistry Department and Henry Eyring Center for Theoretical Chemistry, University of Utah
USA
19:00 CET

Please log in to be able to watch

Jack Simons
University of Utah, Chemistry Department and Henry Eyring Center for Theoretical Chemistry
Corresponding author:

Abstract:

When carrying out quantum chemistry calculations on molecular anions (MAs), there are special challenges that arise, two of which are rather obvious and not difficult to address. You have to include diffuse basis functions because electron affinities (EAs) are often quite small, as a result of which the MA’s “extra” electron resides in an orbital that has a large radial extent. The fact that EAs are often small (e.g., smaller than ionization potentials and electronic excitation energies) means that electron correlation effects contribute significantly and thus should be included in the calculation. These are not the challenges I will discuss. Rather, I will focus on (1) how to effectively identify a virtual orbital of the neutral molecule into which the extra electron should be added; often, the correct orbital is not the LUMO but is buried within a “soup” of numerous LUMO+n virtual orbitals; (2) how to properly calculate the energy of the resulting anion when the energy of the anion lies above that of the neutral (i.e., when the anion is not an electronically stable species but is metastable); and (3) how to calculate the lifetime of the metastable anion using tools, some of which are already available in commonly used software packages and others that have been made available but require a bit more effort.

Keywords: anions, virtual orbitals, metastable species, lifetimes, stabilization, extrapolation, complex absorbing potential.

Suggested Reading: 

  1. J. Simons, Molecular Anions, J. Phys. Chem. A 112, 6401-6511 (2008). This 100+ page article offers a good overview of theoretical and experimental studies of anions.
  2. Simons' Publications – Here you can find all of my publications, many of which are about anions.
  3. Nestmann B. M.; Peyerimhoff, S. CI method for determining the location and width of resonances in electron-molecule collision processes, J. Phys. B: At. Mol. Phys. 1985, 18, 4309-4319. Here is an early example of the stabilization method.
  4. Iwona Anusiewicz, Piotr Skurski, and Jack Simons, Finding Valence Antibonding Levels while Avoiding Rydberg, Pseudo-continuum, and Dipole-Bound Orbitals, J. Am. Chem. Soc. (2022) – Here you will see much of what I will be discussing.
  5. Thodika, M.; Fennimore, M.; Karsili, T. N. V.; Matsika, S., Comparative study of methodologies for calculating metastable states of small to medium-sized molecules, J. Chem. Phys., 2019, 151, 244104 – Here you will see nice examples of the extrapolation and CAP methods.
  6. Chao, J. S.-Y.; Falcetta, M. F.; Jordan, K. D., Application of the Stabilization Method to the N₂⁻(X²Πg) and Mg⁻(¹²P) Temporary Anion States, J. Chem. Phys., 1990, 93, 1125−1135 – Here you will see good examples of modern stabilization methods.
  7. Jagau, T-C.; Bravaya, K. B.; Krylov, A. I., Extending Quantum Chemistry of Bound States to Electronic Resonances, Annu. Rev. Phys. Chem., 2017, 68, 525-553. This describes the CAP method.

 

Recording:

Video is available only for registered users.

No comments

Financial Support

The Cooper Union for the Advancement of Science and Art is pleased to provide support for the 2024 VWSCC through a generous donation from Alan Fortier.

We thank Leibniz Institute for Catalysis (LIKAT) and CECAM for their support.