The family of PCM models

A general description of quantum-chemical models based on a representation of the solvent as an infinite polarizable dielectric medium (dielectric continuum) is given below. All of these models are derived from the direct solution of the Poisson equations [21] defining the total electrostatic potential as 

The evaluation of the charge density at the different surface elements ((j(Si)) is performed by solving the Poisson-Laplace equation which leads to 

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