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In the given paper we describe methods finding analytical gradients(derivatives) of solvation energy over atomic coordinates. It is made both fornot polar energy and for the polar energy found by methods PCM, COSMO and SGB.These gradients are searched with use of analytical gradients of parameters(coordinates, normal vectors and squares) the surface meshes. The surfacemeshes are located on both the optimal smooth molecular surfaces: solventexcluded surface (SES) and surface solvent accessible surface (SAS) receivedfrom SES. These surfaces are found by methods of primary and secondary rollingaccording to the algorithm described in the previous papers of the series.

Continual Model of Medium IV: Calculation of analytical gradients for solvation energy over atomic coordinates