Table 1 Main structural features (HF/6-31G** and crystallographic)
Free base
Monoprotonated cation
rNؒؒN/Å
NCCN/Њ
NCCN/Њ
rNؒؒN/Å
rNؒؒH/Å
N–HؒؒN/Њ
1
2.791
2.679
3.781
3.672
2.955
3.760
–
–
2.684
2.585
–
1.706
1.772
–
155.1
133.1
–
3 syn
anti
11.8
179.6
143.2
46.1
175.5
15.1
–
X-ray
4 syn
46.2
174.9
2.749
3.776
2.099
3.945
119.7
73.0
anti
Table 2 B3LYP/6-31ϩG**//HF/6-31G** proton affinities (PA)a and
strain energies (SE) for the bases; plus hydrogen bond ϩ strain energies
(HB ϩ SE)ϩ and hydrogen bond energies (HB) and intramolecular pro-
ton transfer barriers (PT) for the monoprotonated cations, all in kJ
molϪ1 a
shows that compound 4 on the other hand is essentially strain-
less (the small negative SE is within the expected error for a
thermoneutral isodesmic reaction). Additionally the energies of
the syn and anti forms are within 1 kJ molϪ1
.
Considering now the syn protonated species, 1Hϩ and 3Hϩ
exhibit similar N–H ؒ ؒ ؒ N hydrogen bonds. Compound 3Hϩ
also has the very low barrier to intramolecular proton transfer
typical of diamine proton sponges, and appears to have no
stable anti protonated form. Serendipitously 4Hϩ does have a
stable anti conformer, so the ≈ 38 kJ molϪ1 syn/anti energy dif-
ference provides a good estimate of hydrogen bond strength.
The gas phase PA of 3 is slightly higher than that of 1.
An additive scheme8e describing its PA is
PA
SE
PT
(HB ؉ SE)؉
HB
1
3
1030.7 [1030 2]b
1037.0
998.6
26.9
0
2
15
–
Ϫ66.8
Ϫ17.8
–
–
Ϫ78.2
42.3
Ϫ2.4
–
≈ Ϫ38
≈ Ϫ37.6
–
4
11
975.9
a The PA’s, SE’s and (HB ϩ SE)ϩ values include scaled HF/3-21G
thermal energy corections.9 b Experimental gas phase PA measured by
Lau et al.10 Values for 1 taken from reference 8(e).
PA(3) = PA(11) ϩ [SE(3Hϩ) Ϫ SE(3)] Ϫ HB(3Hϩ)
Thus, the PA of 3 can be measured relative to a suitable,
structurally-related monoamine 11 and is the sum of strain
release on protonation and intramolecular hydrogen bond
stabilization of 3Hϩ. These latter two contributions we will
refer to as the ‘excess PA’. Taking HB(3Hϩ) ≈ HB(4Hϩ) this
gives 1037 = 976 ϩ 23 ϩ 38 kJ molϪ1, so the 61 kJ molϪ1 excess
PA comes mostly from hydrogen bonding. This is in line with
other sponges so far analysed in this way: for example, in
the case of 3, when the reference monoamine is chosen as
1-(dimethylamino)naphthalene8e we have 1031 = 937 ϩ 16 ϩ 78
(H-bond provides more than 80% of the 94 kJ molϪ1 excess
PA).
Quantum chemistry provides a powerful tool in proton
sponge design.8 Using the methodology described recently8e we
have explored the syn and anti conformers of 3 and 4 and their
mono-protonated cations, and have quantified the relative
contributions of hydrogen bonding and strain release to their
basicities. Structures were first optimised and frequency-tested
at the HF/3-21G level, followed by HF/6-31G** optimisation
and B3-LYP/6-31 ϩ G** single points at these geometries.
Strain energies (SE) for 1 and 3 have been calculated from iso-
desmic reactions (Schemes 3 and 4). Proton transfer energies
The main difference between 1Hϩ and 3Hϩ is clearly in the
absolute magnitude of the hydrogen bond, that in 3Hϩ being
only half the strength of 1Hϩ due to less favourable geometric
constraints. However, the fact that the (gas-phase) basicity of
3 is marginally higher than that of 1 appears to be due to the
higher intrinsic basicity of the aliphatic amine.
We believe that derivatives of compound 2 will have a range
of useful applications in asymmetric synthesis. These studies
are underway, and will be reported in due course.
Scheme 3 Isodesmic reaction used to obtain proton sponge strain.
Acknowledgements
The authors thank the EPSRC (use of the UK Computational
Chemistry Facility), and Cardiff University for a studentship
(EW). We are grateful to Dr M. P. Coogan and Mr R. Haigh for
the X-ray crystallographic study of compound 3. We also thank
Professor R. W. Alder and Dr G. C. Lloyd-Jones (both of the
University of Bristol) for helpful discussions.
Scheme 4 Isodesmic reaction used to obtain cation H-bond energy.
(PT) were also estimated from calculations on C2-symmetrised
cations.
Non-bonded distances rNؒؒN and N–C–C–N torsion angles
in both the free base and the cation are reported in Table 1,
along with hydrogen bond geometries (cation only). Gas phase
absolute PAs and other relevant electronic properties are
reported in Table 2.
References
p2/b1/b110499n/ for crystallographic files in .cif or other electronic
format.
The calculations reveal that both 3 and 4 have stable syn (C2
symmetric) and anti (C1 or C2) conformers. In agreement with
the crystal structure of 3, the anti conformer is predicted to be
the most stable form, being some 17 kJ molϪ1 more stable than
syn in the gas phase. This is also consistent with the H NMR
data which suggest substantial conformational change (pre-
1 R. W. Alder, P. S. Bowman, W. R. S. Steele and D. R. Winterman,
J. Chem. Soc., Chem. Commun., 1968, 723.
2 T. Isobe, K. Fukuda and T. Ishikawa, J. Org. Chem., 2000, 65,
7770.
3 H. A. Staab, A. Kirsch, T. Barth, C. Krieger and F. A. Neugebauer,
Eur. J. Org. Chem., 2000, 8, 1617.
4 P. Hodgson, G. C. Lloyd-Jones, M. Murray, T. M. Peakman and
R. L. Woodward, Chem. Eur. J., 2000, 6, 4451.
5 A. T. Nielson, J. Org. Chem., 1970, 35, 2498.
1
sumably anti
syn) on protonation. Isodesmic reactions reveal
that 3 is quite strained (some 15 kJ molϪ1 more strained than 1)
presumably due to steric interactions between the benzene
rings. Calculation of the corresponding isodesmic reaction
6 Selected crystallographic data for 3 are as follows: C20H24N2 (Mr
292.41), monoclinic, P21/c, a = 11.039(2), b = 7.791(2), c = 19.001 Å.
202
J. Chem. Soc., Perkin Trans. 2, 2002, 201–203