Errors in the Ewald summation method with electrostatic layer correction for Coulomb interactions in slab geometry

New theoretical expressions for cut-off errors in 2D reciprocal-space summation of the electrostatic layer correction (ELC) term in energy and forces are derived, and a procedure to determine optimal parameters of the method is proposed. The procedure is tested in numerical calculations for charges distributed uniformly in a cubic box and charges located in two layers near the box basis. The summation errors for conventional Ewald method can be used to find out optimal values of the convergence parameter, and real- and reciprocal-space cut-off radii, whereas the ELC errors give possibility to choose an optimal value of an empty space gap in the simulation box.