LEKNER SUMMATION OF LONG-RANGE INTERACTIONS IN PERIODIC-SYSTEMS

We present a complete set of practical expressions for fast and accura te evaluation of Coulomb interactions, forces and energies, in any rec tangular periodic medium. This analysis also includes explicit express ions for energy constants and self-energies of charged particles in pe riodic lattices. Energy constants and self-energies are further evalua ted for logarithmic interactions in two-dimensional rectangular system s with periodic boundary conditions. The expressions are optimized for computational speed and tested by direct numerical implementation.