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5
Fig. 12 Metal-ring and other chemical interactions in (
-C 5 H 5 )Mn(CO) 3 using the bond path
and the SF percentage descriptors; (a) the experimental molecular graph (bcps are shown in red ,
rcps in yellow , and cage critical point in green ); (b-f) source function percentage contributions
from atomic basins to the experimental electron density at different reference points (denoted by a
small yellow sphere). These are (b) the Mn-C 2 bcp; (c) the C 2 -O bcp; (d) the Mn-C(Cp) bcp; (e)
the Mn-C(Cp) rcp; (f) the C-C bcp. Absolute source contributions less than 0.5% are not shown
(adapted from Figs. 2 and S23, with permission from [ 83 ], Copyright 2009, American Chemical
Society)
much alike to those found for terminal M-C(O) bonds in the dinuclear metal
carbonyls. The two bonded atoms yield about 68% of the bcp density and the
carbonyl O atom an additional 13%. As shown by Farrugia et al. [ 72 ], the large
contribution from the carbonyl O atom is not to be simply interpreted as a signal of
Mn-CO
p
back-bonding, since similar percentage source contributions are found
for the B-C bcp in the adduct H 3 B
back-bonding is possible.
In our view, this large SF contribution from the carbonyl O atom results from the
nonnegligible portion of the 3 s HOMO lone pair orbital of CO lying into the O
basin ([ 103 ] and page 10061 of [ 12 ]) and the dominant role that such orbital plays in
the dative
CO where no B-C
p
bond to the metal [ 103 ].
When the rp is placed at the C-O bcp, the global contribution from the two
bonded atoms rises to about 98% (Fig. 12c ) as found for all other metal-carbonyls
thus far investigated. It is not just the sum which is transferable, but also the
separate contribution to this sum from the C and the O atoms, equal to about 41%
and 57%. The Mn-C ring bcps and the rcps pertaining to the three-membered rings
formed by the Mn and any two metal-bonded neighboring C atoms of the
s
-
hydrocarbyl ligand lie on an annulus of almost constant electron density and
p
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