Electrostatic Potentials for Semi-Infinite and Lamellar Cubic Lattices Containing Several Different Kinds of Ions Per Unit Cell

摘要: The electrostatic potential for a square planar lattice of positive, unit, point charges neutralized by uniform-negative-background charge is developed and numerically tabulated. By stacking up such planes, potentials are constructed infinite, semi-infinite, lamellar-neutralized, simple-cubic lattices positive charges; numerical results presented. relation between obtained smearing out the neutralizing over all space confining to planes explicitly exhibited. Using SrTi${\mathrm{O}}_{3}$, perovskite, as specific example, it shown how tabulated given here may be used obtain on surface within complex cubic crystal containing several kinds ions per unit cell. methods obtaining above or in presence vacancies impurities briefly indicated.