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Modified Poisson equations for calculating solvation free energy.

Pei-Kun Yang1

  • 1Department of Biomedical Engineering, College of Medicine, I-SHOU University, Kaohsiung 840, Taiwan, ROC.

Biophysical Chemistry
|December 13, 2016
PubMed
Summary

This study introduces a new method to calculate dielectric polarization (P), crucial for solvation free energy. The approach accurately models electric fields and molecular density, aligning with molecular dynamics simulations.

Keywords:
Continuum solvent modelDielectric polarizationExcluded solvent volumeMolecular dynamic simulationsSolvent molecular density

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Area of Science:

  • Computational Chemistry
  • Physical Chemistry
  • Theoretical Chemistry

Background:

  • Dielectric polarization (P) is essential for determining solvation free energy.
  • P is a product of electric dipole per solvent (p) and relative solvent molecular density (g).
  • Calculating p and g traditionally relies on complex simulations.

Purpose of the Study:

  • To develop a modified Poisson equation approach for calculating dielectric polarization (P).
  • To estimate boundary conditions for electric field (E) and its gradient (∇xE).
  • To explore the dependence of P and g on numerical analysis parameters.

Main Methods:

  • Modified Poisson equations were used to calculate E and ∇xE.
  • Strategies for estimating boundary conditions were proposed.
  • The method was applied to a system of two charged atoms in a water cluster.

Main Results:

  • Calculated values for P and g showed good agreement with molecular dynamics simulations.
  • The electric potential at solute atoms and solvation free energy matched simulation results.
  • The method's dependence on numerical parameters was analyzed.

Conclusions:

  • The modified Poisson equation approach provides an accurate and efficient alternative for calculating dielectric polarization and solvation free energy.
  • This method offers a viable computational strategy for solvation studies.
  • The findings support the theoretical framework linking electric fields, molecular density, and solvation energetics.