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bound electron (n-type or
-type) from B, the greater is the extent of elec-
tron transfer from B to XY on formation of B
π
···
XY. It is also clear that for all
members of the B
Cl
2
series the intermolecular charge transfer is negligible,
except possibly for B
=
NH
3
. For a given B, the order of the extent
···
δ
i
e
of elec-
tron transfer is Cl
2
<Br
2
∼
δ
i
have also been calculated
using ab initio methods by several authors [132, 192-195]. In summary, these
ab initio calculations lead to values of
BrCl < ICl. Values of
i
of the same order of magnitude as
those obtained experimentally and show similar trends as B and XY are var-
ied. The conclusion from both experiments and ab initio calculations is that
the extent of electron transfer is generally
<
0.06
e
,exceptwhenB=NH
3
and
PH
3
and XY =BrCl and ICl.
The values of
δ
p
also behave systematically, as shown in Fig. 21, in which
δ
p
is plotted against
k
σ
δ
for the various series B
···
XY. It is evident that, for
agivenXY,
δ
p
is an approximately linear function of
k
σ
and hence of the
strength of the interaction. Moreover, for a given B the order of
δ
p
is ICl
>
BrCl
Br
2
>
Cl
2
, which is the order of the polarisabilities of the leading
atoms X in B
∼
···
XY and therefore seems reasonable from the definition (see
earlier) of
δ
p
.
5.2
Do Mulliken Inner Halogen-Bonded Complexes Exist in the Gas Phase?
A detailed analysis of the halogen and nitrogen nuclear quadrupole coupling
constants for the series of hydrogen-bonded complexes(CH
3
)
3-
n
H
n
N
HX,
where
n
= 0 and 3 and X = F, Cl, Br and I, has allowed conclusions about
how the extent of proton transfer changes with both
n
and X. The work has
been reviewed in detail elsewhere [196] and only a summary is given here.
It was concluded that progressive methylation of ammonia, which leads to
a monotonic increase in the gas-phase proton affinity of the base, coupled
with a decrease in the energy change accompanying the gas-phase process
HX = H
+
+X
-
along the series X = F, Cl, Br and I, allows the Mulliken inner
complex [(CH
3
)
3-
n
H
n
NH]
+
···
X
-
···
to become more stable than the Mulliken
outer complex (CH
3
)
3-
n
H
n
N
HX when X = Br and I and
n
= 0. In fact, the
extent of proton transfer was crudely estimated to be
···
∼
0%,
∼
60%,
∼
80%and
∼
HX,whenXisF,Cl,BrandI,respectively,
a result which indicates that the proton is gradually transferred as HX be-
comes progressively easier to dissociate in the case when the proton affinity
of the base is greatest. Is there any evidence for Mulliken inner complexes
[BX]
+
100%fortheseries(CH
3
)
3
N
···
Y
-
?
Evidence for a significant contribution from the ionic form [BX]
+
···
Y
-
in
···
···
a gas-phase complex B
XY was first deduced from the spectroscopic con-
stants of H
3
N
ClF, as obtained by analysis of its rotational spectrum [63].
In particular, the value
k
σ
= 34.3 Nm
-1
of the intermolecular stretching force
constant (obtained from the centrifugal distortion constant
D
J
in the man-
···
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