Atomic Charges in Describing Properties of Aromatic Molecules.

The performance of four frequently employed population analysis methods is assessed by comparisons with experimentally derived properties of monosubstituted benzene derivatives. The analysis is based on the expected dependence between site reactivities and electron densities at the respective ring carbon atoms. The correspondence between charges obtained from Mulliken, NPA, Hirshfeld, and QTAIM approaches and the σ and σ aromatic substituent constants is examined. The series of molecules investigated includes benzene and 18 monosubstituted derivatives. The atomic charges are derived using the B3LYP, ωB97X-D density functional, and MP2 MO methods combined with the 6-311++G(3df,2pd) basis set. A quantitative correspondence between Hirshfeld charges and σ constants is established. Application of Møller-Plesset second-order perturbation theory (MP2) wave functions appears to be essential in obtaining a more realistic electron density distribution. NPA and QTAIM charges provide in most cases a satisfactory description of the substituent effects. The net transfer of charges between substituents and the aromatic ring is assessed.