An analysis of atomic charges is presented for simple alkanes. Basically, Mulliken's scheme is followed, except for the partitioning of CH overlap populations. This achieves a relative ordering of atomic charges which is independent of the basis sets used in nb inirio calculations. The absolute magnitude of atomic charges, however, is basis set dependent. Extensive geometry and scale factor optimizations yield the following results (in lo-' e units) for the carbon net charge in ethane: 69.4 (STO-3G), 55.1 (STO-3G + CI), 42.8 (4-31G). and 37.8 (4-31G + CI). It appears that charge analyses converge toward the empirical result, 35.1 X lo-? e, provided they are carried out after configuration interaction involving reasonably large optimized basis sets.
IntroductionThe concept of atomic charge is popular in chemistry. The quantity which is referred to in most cases is the net charge qk = Z, -N(k), where Z, is the nuclear charge of center k and N(k) the number of electrons assigned to it. Numerous studies have dealt with the problem of charge partitioning, which are well reviewed (1): the disturbing fact is that charge results vary widely, depending on the methods involved in their calculation.The question asked here is one concerning a realistic, physically meaningful partitioning which will not defeat itself in applications and comparisons involving experimental results. Though limited in scope (as we are primarily discussing saturated hydrocarbons), this work attempts to show what level of calculation fulfills the requirements for achieving this goal, a task involving some kind of experimental assessment of the theoretical results.With this in mind, advantage is taken from earlier studies (2, 3) indicating that the individual bond energies of ground-state molecules are (to a good approximation) linearly dependent on the charges of the bond-forming atoms,' i.e.,