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Spin-Resolved Nonlocal Second-Order Fukui Index for Open-Shell Systems from Delocalization Index Response
1Group of Modeling of Chemical Systems Using Quantum Calculations, Applied Chemistry Laboratory (LCA), University M. Khider of Biskra, Biskra 07000, Algeria.
This study introduces spin-resolved Second-Order Fukui Indices (SOFI) for open-shell molecules. These indices map spin-dependent electron sharing, aiding in understanding radical reactivity and substituent effects.
Area of Science:
- Quantum Chemistry
- Theoretical Chemistry
- Computational Chemistry
Background:
- Open-shell molecular systems, such as radicals, exhibit complex electronic behaviors due to unpaired electrons.
- Understanding spin-dependent electronic redistribution is crucial for predicting reactivity.
- Existing methods may not fully capture nonlocal electronic effects in these systems.
Purpose of the Study:
- To analytically derive spin-resolved nonlocal Second-Order Fukui Indices (SOFI) for open-shell systems.
- To establish a direct link between frontier molecular orbital theory and real-space electron delocalization.
- To investigate the influence of electron-donating and electron-withdrawing groups on spin channels in radicals.
Main Methods:
- Analytical derivation of spin-resolved SOFI based on linear response theory.
- Calculation of interatomic delocalization indices (δAB).
- Application to substituted phenoxyl radicals to analyze α- and β-spin channels.
Main Results:
- The first analytical derivation of spin-resolved SOFI for open-shell systems is presented.
- A detailed map of spin-dependent electronic redistribution upon electron addition/removal is provided.
- Spin-resolved SOFI indices effectively rationalize radical reactivity and substituent effects.
Conclusions:
- Spin-resolved SOFI provides a powerful theoretical framework for studying open-shell systems.
- The methodology quantifies spin-dependent electronic structure and its modulation by substituents.
- This work advances the understanding of radical chemistry through nonlocal electronic descriptors.
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