R. Ponec et F. Uhlik, ELECTRON PAIRING AND CHEMICAL-BONDS - PHYSICAL MEANING OF EFFECTIVE PAIRS, Collection of Czechoslovak Chemical Communications, 59(12), 1994, pp. 2567-2578
The physical meaning of the so-called effective pairs which have been
introduced recently within the formalism of pair population analysis i
s discussed using the analysis of conditional probabilities of electro
n density distribution for electron 1 with the reference electron fixe
d in a certain point 2. It is demonstrated that from the point of view
of the mutual coupling of electron motions, the effective pairs behav
e analogously to singlet pairs. Based on this finding, effective pairs
can be interpreted as the fraction of singlet pairs that is directly
involved in bonding.