J. Cioslowski et A. Nanayakkara, ELECTRON CORRELATION CONTRIBUTIONS TO ONE-ELECTRON PROPERTIES FROM FUNCTIONALS OF THE HARTREE-FOCK ELECTRON-DENSITY, The Journal of chemical physics, 99(7), 1993, pp. 5163-5166
Equations for the electron correlation contributions to one-electron p
roperties calculated with correlation energy functionals of the Hartre
e-Fock density are derived. For any functional that is of an explicitl
y algebraic form, these contributions are limited to the occupied-virt
ual block of the one-electron density matrix. This deficiency results
in very poor values of one-electron properties, as demonstrated by num
erical examples. Implications of these observations to the future of t
he density functional theory (DFT)-based electronic structure methods
are discussed.