D. Lauvergnat et Pc. Hiberty, THE NONLINEAR TENDENCIES IN HOMONUCLEAR X-X BONDS (X=LI TO F) AND THELONE-PAIR BOND WEAKENING EFFECT - AN AB-INITIO THEORETICAL-ANALYSIS, Journal of molecular structure. Theochem, 338, 1995, pp. 283-291
The X-X homonuclear bonds in a series of typical H(n)X-XH(n) molecules
(X = Li, Be, B, C, N, O, F; n = 0, 1, 2, 3) are analyzed by decomposi
ng the interaction between the two XH(n) radicals into two terms: (i)
the direct coupling between the bonding electrons, and (ii) the side i
nteractions that gather the effects of lone pairs or adjacent X-H bond
s with each other or with the bending electrons. The latter non-bonded
interactions are shown to display strongly non-linear variations as X
is taken from left to right across the periodic table, and to explain
the non-linear tendencies observed in X-X bond lengths and bonding en
ergies across the periodic table. The lone-pair bond weakening effect
is clearly in evidence, and appears as a particularly strong repulsive
force of rather long range, that affects both the equilibrium geometr
y and the overall bonding energy at a given distance. The former effec
t leads to comparatively much elongated O-O and F-F bond lengths, and
to a damped increase of the non-bonded repulsions in the series (X = N
to F). When the effect of non-bonded interactions is completely elimi
nated, by correcting both the bonding energy itself and the interatomi
c distance, the unweakened bonding energy becomes a quasi-linear funct
ion of the atomic number of the bonded atoms across the periodic table
, and smoothly increases along with the electronegativity of the XH(n)
dissociated fragments.