Hardness and softness reactivity kernels within the spin-polarized density-functional theory

Area of Science:

• Quantum Chemistry
• Theoretical Chemistry
• Chemical Reactivity Theory

Background:

• Conceptual density-functional theory (DFT) provides tools to understand chemical reactivity.
• Spin-polarization effects are crucial in many chemical processes but often overlooked in basic DFT reactivity studies.

Purpose of the Study:

• To extend conceptual DFT to include spin-polarized systems.
• To define generalized hardness and softness reactivity kernels within a spin-polarized DFT (SP-DFT) framework.
• To develop global, local, and nonlocal reactivity indices for charge-transfer and spin-polarization.

Main Methods:

• Definition of generalized hardness and softness reactivity kernels.
• Formulation within the spin-polarized density-functional theory (SP-DFT) framework.
• Derivation of exact relationships between these descriptors.

Main Results:

• Introduction of generalized hardness and softness kernels applicable to spin-polarized systems.
• Development of global, local, and nonlocal reactivity indices based on these kernels.
• Establishment of exact mathematical relationships between the derived SP-DFT descriptors.

Conclusions:

• The developed SP-DFT reactivity framework offers a comprehensive approach to studying chemical reactions involving spin polarization.
• The new indices provide deeper insights into both charge-transfer and spin-polarization phenomena.
• This work lays the foundation for predicting and understanding reactivity in a broader range of chemical systems.