A R T I C L E S
Ducha´cˇkova´ et al.
Table 1. Theoretical and Experimental Proton Affinities (kJ mol-1
of 1a-c and Selected Reference Bases at 0 and 298 K
)
basea
PA
PA
PA
PA
exp
0K
theor
298K
theor
0K
exp
298K
1a
1b
1c
DMAN
TBA
DIPEA
TPA
1036
1046
1046
1024
992
1042
1053
1053
1030
998
1047 ( 7b
1057 ( 7b
1061 ( 10b
1053 ( 7
1064 ( 7
1068 ( 10
1028.2c
998.5c
Figure 1. Electrostatic potential maps (in atomic units) for 1c and its
protonated form 1c · H+ color-coded at the isodensity surface F ) 0.02
994
985
1001
991
994.3c
991.0c
e Å-3
.
a For abbreviations of compound names, see the text. b The reported
0K
values of PA are averages of three measurements. The error margins
exp
form. The electrostatic potential of the protonated base reveals
that the positive charge is delocalized over the whole hydro-
carbon backbone of the base.
are set to the maximum errors evaluated in the individual experiments,
as estimated by linear fits over different ranges of the experimental data
(for details, see the SI). c Data from ref 36.
In comparison with those for the bases 1a-c, the proton
affinity of the parent compound 2,2′-bipyridyl-N,N′-dioxide (2)
is much smaller (1016 kJ mol-1). The effect of the substituents
at the 3- and 3′-positions as well as that of the annelated
saturated rings can be assessed by means of isodesmic reactions
(Scheme 3).37 Clearly, the inductive effects of the alkyl
substituents in the positions ortho to the nitrogen atoms provide
the major contributions to the increase in the proton affinity of
the derivatives of 1. The introduction of the methyl groups
increases the proton affinity of 2 by 21.5 kJ mol-1, whereas the
annelation of the saturated ring results in an increase of only
correct description of the entire system with regard to possible
mechanistic implications.27 With respect to the size of the studied
system, we chose to employ DFT with a functional that includes
a semiempirical correction for dispersion interaction (DFT-D),
namely, the B97D method.28,29 The geometry optimizations and
thermochemistry calculations were performed at the B97D/6-
31G* level of theory. The final energies were determined by
single-point calculations at the B97D/cc-pVTZ level with
corrections for basis-set superposition error (BSSE).30 It should
be noted that the BSSE can be extremely large for the title
compounds when small basis sets are used; the errors were on
the order of 10 kJ mol-1 using the cc-pVTZ basis set. As the
last step, solvation energies were determined by single-point
calculations using the polarized continuum model at the B97D/
cc-pVTZ level.31 We note in passing that the DFT-D method
has been successfully used in the investigation of the reaction
mechanism of the same coupling reaction catalyzed by QUINOX,
which is an analogous catalyst bearing only a single N-oxide
site.32
16.4 kJ mol-1
.
Experimentally, the proton affinities of the title compounds
were approached using the kinetic method.38 To this end, we
generated mixed proton-bound dimers (A-H-B)+ of 1a-c (A)
with several reference bases (B) and investigated the fragmenta-
tions of the mass-selected dimers in a triple-quadrupole mass
spectrometer. The ratio of the abundances of the fragments AH+
and BH+ upon collisional activation reflects the ratio of
dissociation rates of (A-H-B)+ to AH+ and BH+, respectively
Results and Discussion
(eq 1; GB ) gas-phase basicity, PA ) proton affinity, Teff
)
In order to show the mode of action of the derivatives of 1
in organocatalysis, we first determined their gas-phase proton
affinities and electronic structures. The computational results
suggest PAs of ∼1050 kJ mol-1 (Table 1), which are close to
those of prototypical nitrogen superbases such as the proton
sponge DMAN (PA ) 1028 kJ mol-1).33-35 The large basicities
arise from the concentration of negative charge at the oxygen
atoms and the fact that both oxygen atoms can coordinate to
the proton because of the geometries of 1a-c. Figure 1 shows
the electrostatic potentials of the derivative 1c and its protonated
effective temperature reflecting the internal energy of the
fragmenting ion).
IAH
IBH
kA
GBA - GBB PAA - PAB
+
+
ln
≈ ln
≈
≈
(1)
(
)
( )
kB
RTeff
RTeff
The rather large proton affinities of the title compounds
predicted by theory limited our selection of reference bases to
some of the most basic nitrogen compounds available, namely,
proton sponge (DMAN), Hu¨nig base (DIPEA), TBA, and TPA.
The significantly diverse structures of the title compounds and
the reference bases most probably led to different entropic
changes upon their protonation. Thus, the conversion from gas-
phase basicities (determined from Gibbs free energies) and
proton affinities (determined from enthalpies) was not as
straightforward as suggested by eq 1, so we used the extended
kinetic method (Figure 2).39,40
(27) Hobza, P.; Mu¨ller-Dethlefs, K. Non-coValent Interactions: Theory and
Experiment; RSC Theoretical and Computational Chemistry Series,
No. 2; Royal Society of Chemistry: Cambridge, U.K., 2010.
(28) Grimme, S. J. Comput. Chem. 2006, 27, 1787.
(29) Pevarati, R.; Baldridge, K. K. J. Chem. Theory Comput. 2008, 4, 2030.
(30) Boys, S. F.; Bernardi, F. Mol. Phys. 1970, 19, 553.
(31) Tomasi, J.; Mennucci, B.; Cammi, R. Chem. ReV. 2005, 105, 2999.
(32) Malkov, A. V.; Ram´ırez-Lo´pez, P.; Biedermannova´, L.; Rul´ısˇek, L.;
Dufkova´, L.; Kotora, M.; Zhu, F.; Kocˇovsky´, P. J. Am. Chem. Soc.
2008, 130, 5341.
(33) Roithova´, J.; Schro¨der, D.; M´ısˇek, J.; Stara´, I.; Stary´, I. J. Mass
Spectrom. 2007, 42, 1233.
(36) Hunter, E. P.; Lias, S. G. J. Phys. Chem. Ref. Data 1998, 27, 413.
(37) Exner, O. J. Phys. Org. Chem. 1999, 12, 265.
(34) (a) Eckert-Maksic, M.; Glasovac, Z.; Troselj, P.; Kutt, A.; Rodima,
T.; Koppel, I.; Koppel, I. A. Eur. J. Org. Chem. 2008, 5176. (b) Coles,
M. P.; Aragon-Saez, P. J.; Oakley, S. H.; Hitchcock, P. B.; Davidson,
M. G.; Maksic, Z. B.; Vianello, R.; Leito, I.; Kaljurand, I.; Apperley,
D. C. J. Am. Chem. Soc. 2009, 131, 16858.
(38) (a) Cooks, R. G.; Wong, P. S. H. Acc. Chem. Res. 1998, 31, 379. (b)
Cooks, R. G.; Koskinen, J. T.; Thomas, P. D. J. Mass Spectrom. 1999,
34, 85.
(39) Drahos, L.; Vekey, K. J. Mass Spectrom. 2003, 38, 1025.
(40) For insightful essays about the performance and inherent problems of
the kinetic method, see: (a) Bouchoux, G.; Sablier, M.; Berruyer-
Penaud, F. J. Mass Spectrom. 2004, 39, 986. (b) Wesdemiotis, C. J.
Mass Spectrom. 2004, 39, 998. (c) Ervin, K. M.; Armentrout, P. B. J.
Mass Spectrom. 2004, 39, 1004. (d) Drahos, L.; Peltz, C.; Vekey, K.
J. Mass Spectrom. 2004, 39, 1016.
(35) (a) Verkade, J. G. Top. Curr. Chem. 2003, 223, 1. (b) Kolomeitsev,
A. A.; Koppel, I. A.; Rodima, T.; Barten, J.; Lork, E.; Roschenthaler,
G. V.; Kaljurand, I.; Kutt, A.; Koppel, I.; Maemets, V.; Leito, I. J. Am.
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9
12662 J. AM. CHEM. SOC. VOL. 132, NO. 36, 2010