Journal of the American Chemical Society
COMMUNICATION
Table 2. Properties of the Electron Density at the Bond Critical Points of SnꢀX Bonds (X = C, Si, H) in Cations 2 and Model Tin
Compounds According to QTAIM Analysis
2
bond type
compd
F(r) [e bohrꢀ3
]
r F(r) [e bohrꢀ5
]
atomic distance [pm]
SnꢀC
Me4Sn
0.0996
+0.1450
216.5
2a
0.0995/0.0988
0.0962/0.0976
0.0693
+0.1401/ +0.1369
+0.1268/ +0.1331
ꢀ0.0358
214.9/214.4
215.7/216.5
261.1
2b
SnꢀSi
SnꢀH
(Me3Si)4Sn
2a
0.0646
ꢀ0.0587
264.5
2b
0.0615
ꢀ0.0521
267.9
Me3SnH
0.1071
+0.1463
172.1
[H3SnꢀHꢀCH3]+
2a
0.0330
+0.0676
212.7
0.0154
+0.0433
255.7
reported SnꢀH bond length,17 but they are significantly smaller
than the sum of the van der Waals radii (327 pm)18 and suggest a
higher coordination of the tin atom and possibly involvement of
the central tin atom and the distant hydrogen atoms of the
methyl groups in multiple-center bonding. This question was
addressed by applying density functional theory at the MPW1K
level.14,19 In addition, the results of the DFT calculations were
used to confirm the structure of cations 2 in solution and to
investigate the bonding in stannylium ions 2. The results of the
computations predict molecular structures for both cations 2
having all important structural features very close to those
determined experimentally (see Table 1). The stannylium ions
2 also persist in arene solution, as indicated by the close
accordance between computed 29Si NMR chemical shifts for
Si(1) and the experimental determined values (2a, δ 29Siexp
(Si(1)) = 40.0, δ 29Sicalc(Si(1)) = 41; 2b, δ 29Siexp(Si(1)) = 70.3,
central tin atom and the distant methyl protons. Therefore,
QTAIM analysis provides no resilient indication for significant
multiple-center bonding between these hydrogen atoms and
the central tin atom.22
’ ASSOCIATED CONTENT
S
Supporting Information. Experimental details, NMR
b
spectra, and crystal structure data for 2[B(C6F5)4], and compu-
tational details, including NMR chemical shift calculations and
Cartesian coordinates. This material is available free of charge via
’ AUTHOR INFORMATION
Corresponding Author
δ
29Sicalc(Si(1)) = 73). In view of the principal problems associ-
ated with the computation of tin NMR properties of tin
compounds,6c,11a,20 the calculated 119Sn NMR chemical shifts
for cations 2a,b are also in full agreement with the experimental
data (2a, δ 119Sncalc = 1605; 2b, δ 119Sncalc = 1590).14 The
newly formed SnꢀSi linkages in 2a,b are relatively strong,
despite the high steric strain imposed by the large substituents.
That is, the Gibbs free energy for redissociation into stannylene
and silylium ion is substantial (G298 = 137 (2a) or 99 kJ molꢀ1
(2b)). According to an analysis based on the quantum theory of
atoms in molecules (QTAIM),21 the Sn+ꢀSi bond in cations 2
is predominately covalent, as indicated by substantial electron
density, F(r), computed at the bond critical point (bcp) and the
’ ACKNOWLEDGMENT
This study was supported by the DFG (Mu-1440/7-1). The
Center for Scientific Computing at Carl von Ossietzky University
is thanked for computer time.
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2
negative Laplacian of the electron density, r F(r), at this point,
which indicates charge accumulation (see Figure 2a and
Table 2). In contrast, the Sn+ꢀC bond has large ionic con-
2
tributions (i.e., F(r) is large at both bcp's and r F(r) > 0). The
characteristics of electron density at the bcp's of the SnꢀC and
Sn+ꢀSi bonds in cations 2 are very similar to those computed
for standard compounds such as (Me3Si)4Sn and Me4Sn (see
Table 2). Interestingly, QTAIM analysis predicts no bond paths
0
between the hydrogen atoms (H(CH3) and H(CH3 )) of the
pseudo-axial-oriented trimethylsilyl groups and the central tin
atom, despite their relative spatial proximity. The only excep-
tion is the Sn/H(CH3) pair in 2a, with the smallest separation
(255.7 pm), for which a weak bcp is found (see Figure 2b).
Comparison of the computed properties of the charge density
at this bcp in 2a with those of SnH bonds of standard
compounds such as Me3SnH (two-electron, two-center (2e-
2c) bond) and the [H3SnꢀHꢀCH3]+ cation (2e-3c bond, see
Table 2) suggests only a very small interaction between the
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dx.doi.org/10.1021/ja206338u |J. Am. Chem. Soc. 2011, 133, 14562–14565