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tacking imine nitrogen (N5) points straight at the halogen-
bearing aryl carbon (C4a), at an angle of 1258 to the aryl plane.
The coordination geometry at C4a is clearly pyramidal, with
the CꢀF bond out of the aryl plane by 368. The CꢀF bond is
lengthened from 1.35 ꢁ in the reactant Ia to 1.40 ꢁ in TSa. The
C=C bonds adjacent to C4a are also lengthened slightly (from
1.39 to 1.42 ꢁ), while the imine C=N bond remains practically
unchanged (1.27 to 1.28 ꢁ).
direct conjugation to C4a. However, it is important to note the
still significant stabilisation by the strong inductive effect of
a meta nitro group (TSc, R2 =NO2).[48] In contrast, a nitro group
on the C-ring provides less stabilisation even when it is formal-
ly in conjugation with the same carbon atom (TSb, R3 =NO2),
because the A- and C-rings are not co-planar (the biphenyl tor-
sion is ꢀ548 in the reactant Ia and reduces to ꢀ378 in TSa).
For the cases considered, substituent effects on the barrier
height are additive: the barriers for the disubstituted TSf and
TSg are within 2 kJmolꢀ1 of the values predicted from the in-
crements derived from the monosubstituted cases.
The characterisation of the cyclisation reaction as a nucleo-
philic attack, rather than an electrocyclic process, was further
corroborated through a natural bond orbital (NBO) analysis.[47]
In essence, NBOs are constructed such as to correspond opti-
mally to a Lewis picture of localised (anti-)bonding orbitals and
lone pairs (in contrast to the often highly delocalised canonical
molecular orbitals).
The reactivity towards nucleophilic attack is significantly re-
duced in the chloro compound (TSh) compared to the fluoro
congener (TSa), again as expected for an SNAr reaction. The
more electronegative the leaving group, the more positive is
the partial charge on the attacked carbon and the lower in
energy is the acceptor s*CX orbital, which translates into higher
reactivity. In Ia and Ih, the Hirshfeld charges on the halogen
are ꢀ0.094 e (F) and ꢀ0.075 e (Cl), while the charges on the
carbon are 0.080 and 0.031 e, respectively. Similarly,
DEdeloc(nN!s*CCl)=ꢀ60 kJmolꢀ1 in TSh, compared to
ꢀ126 kJmolꢀ1 in TSa, indicating the reduced stabilisation of
the transition state by the less electronegative halogen.
Figure 4 shows the imine lone pair together with the two
principal empty orbitals it is interacting with. The lone pair do-
nates substantial electron density (0.4 e) into the aryl antibond-
ing orbital p*(C4a=C4) and the CꢀF antibonding orbital
s*(C4aꢀF). Both interactions are energetically highly favoura-
ble, DEdeloc =ꢀ519 and ꢀ126 kJmolꢀ1, respectively; the former
exceeds the next smaller donor–acceptor interaction more
than threefold. In contrast, the imine C=N p and p* orbitals
have no significant interaction with any orbital on the halo-
gen-bearing A-ring. The incipient CꢀN bond therefore arises
principally from the interaction of the imine lone pair with the
aryl p* adjacent to the carbon, which is the signature of a clas-
sic SNAr attack.
The effect of solvation on the barrier is remarkably small:
TSa is only 9 kJmolꢀ1 lower than TSavac. The vacuum transition
state is slightly later, judging from the shorter NꢀC distance
(1.81 vs. 1.85 ꢁ); however, there is hardly any difference in the
degree of activation of the CꢀF bond (1.39 vs. 1.40 ꢁ). This is
another clear indication that the transition state corresponds
to the formation of the CꢀN bond, while the CꢀX bond, al-
though weakened, is essentially maintained. The transition
state can therefore be described as Meisenheimer-like in terms
of its geometric and electronic structure.
The free-energy barrier for the formation of the CꢀN bond is
103 kJmolꢀ1 in the parent TSa (Table 1). The barriers show the
Table 1. Gibbs free energies[a] relative to I along the reaction sequence
shown in Scheme 8. Also given are the lengths of the forming (N5ꢀC4a)
and breaking (C4aꢀX) bonds in the transition state.
Although we have not collected any experimental kinetic
data in this study, we may still use the yields and reaction con-
ditions as indicators for the required activation energies. Com-
paring the unsubstituted 23d (corresponding to the cyclisation
product of Ia) with 23b (Ib), 23e (Ig), and 23 f (If; Figure 3),
we find that the yields and required conditions agree with the
trends in the computed free-energy barriers.
DG [kJmolꢀ1
]
d° [ꢁ]
TS
103
98
93
72
115
90
112
120
112
III
III+ +Xꢀ
ꢀ81
IV
N5ꢀC4a
C4aꢀX
1.40
1.39
1.39
1.37
1.41
1.39
1.40
1.87
1.39
a
b
c
d
e
f
ꢀ65
ꢀ57
ꢀ60
ꢀ52
ꢀ70
ꢀ51
ꢀ61
ꢀ126
80[d]
ꢀ79
ꢀ84
ꢀ93
ꢀ89
ꢀ78
ꢀ88
1.85
1.88
1.87
1.96
1.84
1.88
1.87
1.88
1.81
ꢀ74
ꢀ72
ꢀ71
Energy-minimising the SNAr transition states towards prod-
ucts, we expected to obtain the Meisenheimer complexes II.
However, we found that IIa–h are not stable minima in MeCN
solution. Rather, the CꢀX bond is spontaneously cleaved to
form the ion pairs III, in which the halide anion is located at
a distance of approximately 3 ꢁ directly “beneath” the nitrogen
N5 of the planar phenanthridinium cation. We are therefore
dealing with a concerted, one-step SNAr reaction, in which the
formation of the Meisenheimer s-complex constitutes the rate-
limiting barrier, while its decomposition is barrier-free.
ꢀ90
ꢀ59
g
h
avac
ꢀ77
ꢀ76
[b]
ꢀ133
440
[c]
ꢀ80
[a] Calculated at M06-2X/def2-TZVP+ level in polarisable continuum
MeCN (er =22.5) for T=383 K, P=320 kPa. [b] The 6-chlorophenanthridine
IVh is not a stable minimum, but dissociates into the ion pair IIIh during
structure optimisation. [c] Calculated in vacuum. [d] Energy of IIavac. In
vacuum, the ion pair IIIavac is not stable, but collapses to IIavac
.
Energetically, these reactions are exergonic by 50–
70 kJmolꢀ1 (Table 1). The driving force is mainly enthalpic, due
to the aromatisation of the B-ring and the strong solvation of
the anion. For X=Cl (IIIh), the reaction is even more exergonic,
despite the weaker solvation of Clꢀ compared to Fꢀ, because
of the weaker CꢀCl bond.[49] For all cases in solution, the com-
plete separation of the ion pair into free ions III+ +Xꢀ is fur-
substituent effects expected for a nucleophilic mechanism,
which is promoted by stabilising the developing partial nega-
tive charge on the attacked moiety: electron-withdrawing sub-
stituents lower the barrier (TSb, c, d, f), while donors increase
it (TSe). The stabilising effect of the nitro substituent is stron-
gest when it is para to the halogen (TSd, R1 =NO2) because of
Chem. Eur. J. 2014, 20, 3742 – 3751
3747ꢀ 2014 The Authors. Published by Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim