Evaluation of electron population terms for 4p, 3p, and (2p): how do HOMO and LUMO shrink or expand depending on nuclear charges?

ABSTRACT

Electron population terms are evaluated for N=Se, S, and O. Calculations are performed on HOMO and LUMO constructed by pure atomic 4p(Se), 3p(S), and 2p(O) orbitals, employing the 6-311+G(3d) and/or 6-311(++)G(3df,3pd) basis sets at the HF, MP2, and DFT (B3 LYP) levels. Se(4+), Se(2+), Se(0), and Se(2-) with the O(h) symmetry are called G(A Se) and HSe(+), H(2)Se, and HSe(-) with the C(infinityh) or C(2v) symmetry are named G(B Se), here [G(A+B Se) in all]. HOMO and LUMO in G(A+B N) (N=Se, S, and O) satisfy the conditions of the calculations for . The (4p), (3p), and (2p) values correlate well with the corresponding MO energies (epsilon(N)) for all calculation levels employed. Plots of (HOMO) and (LUMO) versus Q(N) (N=Se, S, and O) at the HF and MP2 levels are analyzed as two correlations. However, the plots at the DFT level can be analyzed as single correlation. A regression curve is assumed for the analysis. Behaviors of clarify how valence orbitals shrink or expand depending on Q(N). The applicability of is examined to establish a new method that enables us to analyze chemical shifts with the charge effect separately from others. A utility program derived from the Gaussian 03 (NMRANAL-NH03G) is applied to evaluate and examine the applicability to the NMR analysis.