Polarization justified Fukui functions.

Area of Science:

• Theoretical Chemistry
• Quantum Chemistry
• Chemical Reactivity Theory

Background:

• Conceptual Density Functional Theory (CDFT) provides a framework for understanding chemical reactivity.
• Fukui functions are essential indices in CDFT for predicting reaction sites.
• Existing methods for calculating Fukui functions can be computationally intensive or lack accuracy.

Purpose of the Study:

• To derive novel Fukui functions using a new theoretical approach.
• To validate the accuracy of the new Fukui functions by comparing them with known properties.
• To assess the potential of these new functions as a computational tool for reactivity studies.

Main Methods:

• Analysis of the polarization effect of a system in a static electric field.
• Derivation of new Fukui functions based on this analysis within CDFT.
• Computational evaluation of the derived Fukui functions for 29 main group elements.

Main Results:

• The new Fukui functions accurately reproduce global softness and electronic dipolar polarizability.
• The derived functions satisfy a key theoretical condition: integral[f(r)/r]dr = -(partial differential mu/partial differential Z)(N).
• Reasonable global hardness values were obtained for a set of 29 main group elements.

Conclusions:

• The newly derived Fukui functions show excellent agreement with established theoretical predictions.
• Their computational clarity and accuracy make them a valuable tool for molecular reactivity studies.
• This work advances the application of CDFT in predicting chemical behavior.