

Article
Some results on the electrostatic energy of ionic crystals.
Authors: 
Essén, H., Nordmark, A. 
Document Type: 
Article 
Pubstate: 
Published 
Journal: 
Can J. Chem 
Volume: 
74
885891 
Year: 
1996 
AbstractWe define a class of ionic crystals, the alternating Bravais lattice ionic crystals, which has the NaCl and CsCl structures as members. We calculate the electrostatic energy of finite pieces and study the convergence to the macroscopic Madelung limit. For the oneparameter family of trigonal lattices we calculate the dependence of the electrostatic energy on the parameter. The NaCl and CsCl structures correspond to minima, the CsCl minimum being deeper. This is due to longrange effects; for small clusters the NaCl structure is favored. We also study the Madelung constant of simple cubic lattices as a function of spatial dimension, and discuss the results. We finally calculate the electrostatic repulsion of two constant unit charge distributions in the unit cube. This quantity, a sixdimensional integral, can be integrated analytically five times, leaving a simple onedimensional integral to be done numerically.

