Bonding charge distribution analysis of molecule by computation of interatomic charge penetration

Charge transfer among individual atoms in a molecule is the key concept in the modern electronic theory of chemical bonding. In this work, we defined an atomic region between two atoms by Slater orbital exponents of valence electrons and suggested a method for analytical calculation of charge penetration between all atoms in a molecule. Computation of charge penetration amount is self-consistently performed until each orbital exponent converges to its certain values respectively. Charge penetration matrix was calculated for ethylene and MgO, and bonding charge and its distribution were analyzed by using the charge penetration matrix and the orbital exponents under the bonding state. These results were compared with those by density function method and showed that this method is a simple and direct method to obtain bonding charge distribution of molecule from atomic orbital functions.