Charge conservation in electronegativity equalization and its implications for the electrostatic properties of...

Area of Science:

• Computational Chemistry
• Theoretical Chemistry
• Quantum Chemistry

Background:

• Fluctuating-charge models are widely used to simulate molecular electrostatic properties.
• These models often face challenges related to charge conservation and translational invariance.
• Ensuring these fundamental physical principles is crucial for reliable predictions.

Purpose of the Study:

• To develop an analytical solution for fluctuating-charge models.
• To isolate and quantify the impact of charge conservation effects.
• To verify the role of charge conservation in electrostatic property predictions.

Main Methods:

• Developed an analytical solution using Gaussian elimination for fluctuating-charge models.
• Applied the solution to calculate molecular dipole moments.
• Calculated molecular polarizabilities using the derived analytical method.

Main Results:

• The analytical solution successfully isolates charge conservation contributions.
• Charge conservation significantly influences predicted charge distributions.
• The method ensures correct translational invariance for electrostatic properties.

Conclusions:

• Charge conservation is essential for the physical realism of fluctuating-charge models.
• The developed analytical approach provides a robust way to enforce charge conservation.
• This work improves the accuracy and reliability of electrostatic property calculations.