The scope of the short-range correlation effect for point dipoles arranged in a hexagonal lattice on an electrode surface is investigated by the Monte Carlo simulation method. When the lateral interactions between the dipoles in the parallel orientation to the electrode surface are neglected, an increase in the number of molecules between which the energy of interactions is calculated exactly breaks down the symmetrical hexagonal structures formed by dipoles on the electrode surface, changes the shape of the dipole capacity curve and increases the value of the mean energy of intermolecular interactions. When the lateral interactions between the parallel oriented dipoles are considered, an increase in the number of molecules between which the energy of interactions is calculated exactly changes the dipole structure from antiparallel to parallel while the other thermodynamic properties of the molecules stay nearly unchanged.