A Simple Electrostatic Model for Trisilylamine: Theoretical
Examinations of the nfσ* Negative Hyperconjugation, p
π
fd
π
Bonding, and Stereoelectronic Interaction
Yirong Mo,*
,²,‡
Yongqing Zhang,
‡
and Jiali Gao*
,‡
Contribution from the Department of Chemistry and State Key Laboratory for Physical Chemistry on Solid
Surface, Xiamen UniVersity, Xiamen 361005, People’s Republic of China, and Department of Chemistry
and Center for Computational Research, State UniVersity of New York at Buffalo,
Buffalo, New York 14260
ReceiVed February 16, 1999. ReVised Manuscript ReceiVed April 22, 1999
Abstract: A block-localized wave function method was used to examine the stereoelectronic effects on the
origin of the structural difference between trisilylamine and trimethylamine. The pyramidal geometry of
trimethylamine along with its high basicity is consistent with the traditional VSEPR (valence shell electron-
pair repulsion) model for σ bonding. On the other hand, in trisilylamine, the silicon d orbitals make modest
contribution to the electronic delocalization, although the key factor in charge delocalization is still n
N
fσ
SiH
*
negative hyperconjugation. Interestingly, the gain in p
π
fd
π
bonding stabilization is offset by a weaker negative
hyperconjugation effect in trisilylamine, resulting in an overall smaller delocalization energy (-18.5 kcal/
mol) than that in trimethylamine (-23.9 kcal/mol), which contains little p
π
fd
π
bonding character. Significantly,
because of the relatively low electronegativity of silicon, the N-Si bond is much more polar than the N-C
bond. Weinhold’s natural population analyses of the BLW and HF wave functions for these compounds reveal
that the origin of the planar geometry of trisilylamine is due to the polar σ-effect that yields significant long-
range electrostatic repulsion between the silyl groups. In addition, it was found that only the most electronegative
substituents such as F and OH can result in a pyramidal geometry at the nitrogen center for silylamines. This
is in good accord with the recent X-ray structure of a pyramidal silylamine, N(CH
3
)(OCH
3
)(SiH
3
).
Introduction
The notion that p
π
fd
π
donation is responsible for the
unusually short bond distances of second-row elements of main
groups is ubiquitous in the literature and textbooks.
1-10
For
example, the short sulfur-oxygen bond distance in SO
4
2-
is
attributed to the donation of the lone-pair electrons of oxygen
to the vacant 3d atomic orbitals of the sulfur atom. Similar
explanations can be found to illuminate the structures of PO
4
3-
,
SiO
4
4-
, and ClO
4
-
. However, recent theoretical analyses cast
serious doubt on the d-orbital hypothesis of main group
elements.
5-9
Kutzelnigg
5
showed that the X-O bond in H
3
PO,
H
2
P(O)F, H
2
SO, etc. can be described with the traditional
valence s- and p-type orbitals by allowing these atomic orbitals
to deform, whereas Reed and Weinhold’s natural population
analyses revealed that the occupancy of the sulfur d function is
very small.
6
Reed and Schleyer
7
further demonstrated that nfσ*
negative hyperconjugation
11
is important in controlling hyper-
valency, and that the d orbitals on the central atom play only a
secondary role in π-bonding. By optimizing the d-function
exponents in various molecules of first- and second-row
elements systematically, Magnusson
8a
was able to show that d
functions of second-row atoms are polarization functions in
nature. These functions do not take a valence role, a conclusion
²
Xiamen University.
‡
State University of New York at Buffalo.
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10.1021/ja9904742 CCC: $18.00 © 1999 American Chemical Society
Published on Web 06/03/1999