Related Experiment Video
Updated: Jul 8, 2025

Isolating Free Carbenes, their Mixed Dimers and Organic Radicals
Published on: April 19, 2019
Orbital dependent complications for close vs well-separated electrons in diradicals
Zahra Hooshmand1, Jose Gustavo Bravo Flores1, Mark R Pederson1
1Department of Physics, The University of Texas at El Paso, El Paso, Texas 79968, USA.
Standard density-functional approximations fail for O3 diradicals due to self-interaction error. Correcting this error reveals accurate electronic configurations and singlet-triplet splitting, crucial for molecular magnet descriptions.
Area of Science:
- Quantum Chemistry
- Computational Materials Science
Background:
- Open-shell diradical systems present challenges for standard electronic structure calculations.
- Density-functional approximations (DFAs) often fail to predict open-shell character in systems like O3.
Purpose of the Study:
- Investigate the accuracy of DFAs for diradicals with varying orbital proximity.
- Identify the source of errors in DFA predictions for O3.
- Develop accurate methods for determining electronic configurations and singlet-triplet splitting.
Main Methods:
- Fermi-Löwdin-orbital-self-interaction-corrected (FLOSIC) formalism.
- Analysis of many-electron overlap matrices.
- Energy calculations using corrected generalized gradient, local density, and Hartree-Fock approximations.
Main Results:
- Standard DFAs incorrectly predict closed-shell character for O3.
- Self-interaction error is identified as the cause of inaccuracies in O3.
- FLOSIC method accurately determines electronic configurations and singlet-triplet splitting for O3.
- Broken-spin-symmetry configurations are shown to be irrelevant for Ms=0 triplet states in O3.
Conclusions:
- FLOSIC corrections are essential for accurate electronic structure of O3.
- Well-separated diradicals like (C21H13)2 are less sensitive to these corrections.
- Accurate results for O3 provide a basis for developing Heisenberg-like Hamiltonians for molecular magnets.
Related Concept Videos
Atomic Orbitals
π Molecular Orbitals of the Allyl Radical
The allyl systems have identical molecular orbitals but differ in the number of π electrons....
Radicals: Electronic Structure and Geometry
Accordingly, the structure of a trivalent radical lies between the geometries of carbocations and carbanions. An sp2-hybridized carbocation is trigonal planar, while an sp3-hybridized carbanion is trigonal pyramidal. Here, the difference in geometry is...
Radical Reactivity: Overview
Radical Reactivity: Steric Effects
Along with electronic...
Radical Reactivity: Intramolecular vs Intermolecular

