Calculation of the average properties of atoms in molecules. II

TLDR

The atom is defined by the topological theory of molecular structure, which characterizes atoms, bonds, and structural stability through the topological properties of a system’s charge distribution, and its average properties are uniquely determined by quantum mechanics. This article presents an algorithm for calculating the average properties of an atom in a molecule. The algorithm is implemented in the program PROAIM (properties of atoms in molecules). PROAIM yields results for various hydrocarbon molecules and can compute the average atomic energy to an accuracy of ±1 kcal/mol.

Abstract

Abstract This article describes an algorithm for the calculation of the average properties of an atom in a molecule. The atom is defined within the topological theory of molecular structure, a theory which defines atoms, bonds, structure, and structural stability in terms of the topological properties of a system's charge distribution. The average properties of the atom so defined are uniquely determined by quantum mechanics. Results for a number of hydrocarbon molecules, obtained by the program PROAIM (properties of atoms in molecules) which implements this algorithm, are given. In general, this program enables one to calculate the average energy of an atom in a molecule to an accuracy of ±1 kcal/mol.