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A new multipole expansion method for the calculation of the electrostatic part of lattice energies. Application to NaBrsdot;2H2O

机译:A new multipole expansion method for the calculation of the electrostatic part of lattice energies. Application to NaBrsdot;2H2O

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In this paper a new method is described for the calculation of the electrostatic interaction energy of an infinite lattice of nonoverlapping, but otherwise arbitrary, charge distributions. The method is based on a multipole expansion of the electrostatic interaction energy of two nonoverlapping charge distributions. The summation over the infinite lattice is performed using a procedure given by Nijboer and de Wette. As an example, the method is applied to the calculation of the electrostatic part of the lattice energy of monoclinic NaBrsdot;2H2O. The charge distributions of the water molecules in the crystal are represented approximately by the multipole moments of the gaseous molecule. The electrostatic energy in the crystal is found to be 913.8 kJ molminus;1. Using a simple point charge model, the Madelung parameter can be represented byMa=2.8697 + 3.9011qHminus; 0.8665q2H, whereqHis the charge on the hydrogen atom.

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