An alternative way to analyze the electron distribution in ab initio calculations

An alternative method is proposed to analyze the electron distribution in molecules. Explicit formulae are given to calculate the number of electrons N(S) in a sphere with radius S and the spherically averaged electron density ?_o(S) around any center for gaussian-type functions. Also the formulae for the number of electrons in a parallelepiped are given. The calculated electron number in a sphere and in a parallelepiped can be compared with experimental values determined by X-ray analysis. The plots of N(S) and ?_o(S) against S are one-dimensional ways to represent the electron distribution in molecules. Several examples of possible applications are shown for some hydrides.