Table 2 Calculated free energy values for thermodynamic considerations for assignment of DGInterface in ACN
DG3/eVb
DGpK c/eV
DGinterface/eV
a
Binding moiety (BM)
pKa
DG1b/eV
DG2/eV
a
1
2
3
4
5
6
Purpurin-amH+
3,5-Dinitrobenzoate
Phenylsulfonate
Acetate
Chloroacetate
Dichloroacetate
9.55
17
7
21
18
14
—
—
—
—
0.44
—
—
—
—
—
À0.44
—
—
—
0.18
À0.28
À0.13
—
—
À0.24
0.15
À0.68
À0.50
À0.26
À0.24
—
—
À0.24
—
a
b
c
In CH3CN, from ref. 17. DG = ÀRT ln Kassoc(1:BM). At 298 K, calculated from pKa values recorded in ACN, DGpK = ÀRT[pKa(BM)/
a
pKa(1-amH+)].
That the ionized interface for 1:5 persists when the pKa
difference dictates formation of the amÁ Á ÁHO2C interface
reveals the importance of electrostatic contributions to the
interface configuration. The electrostatic stabilization of the
interface imparted by formation of the ionized amH+:ÀO2C
complex (DGinterface) can be determined using eqn (2); it is
minimally 0.18 eV in ACN. This electrostatic interaction
energy can be calculated for point charges, q1 and q2, accord-
ing to V = (q1q2)/(4per) where e is the dielectric constant of the
medium.21 An electrostatic stabilization energy of 0.10 eV is
calculated for the amidinium–carboxylate salt bridge at a
distance of r = 3.9 A in THF. This distance is measured
between the central carbon atoms of the amidinium and
carboxylate groups from the energy optimized structure.8
The experimental results reported here agree with a simple
ion solvation model. The discrepancy likely arises from the
approximation that the electrostatic charge within the inter-
face is confined to a point-dipole (Table 2).
the same D–A pair bearing different tautomeric forms of the
interface, illustrates the pronounced effect that proton position
exerts on photoinduced charge transfer.
Notes and references
1 C. J. Chang, J. D. Brown, M. C. Y. Chang, E. A. Baker and D. G.
Nocera, in Electron Transfer in Chemistry, ed. V. Balzani, Wiley-
VCH, Weinheim, Germany, 2001, vol. 3.2.4, pp. 409–461.
2 R. I. Cukier and D. G. Nocera, Annu. Rev. Phys. Chem., 1998, 49,
337–369.
3 J. L. Sessler, B. Wang, S. L. Springs and C. T. Brown, in
Comprehensive Supramolecular Chemistry, ed. Y. Murakami,
Pergamon Press, Oxford, 1996, vol. 4, pp. 311–336, and references
therein.
4 C. Turro, C. K. Chang, G. E. Leroi, R. I. Cukier and D. G.
´
Nocera, J. Am. Chem. Soc., 1992, 114, 4013–4015.
5 J. A. Roberts, J. P. Kirby and D. G. Nocera, J. Am. Chem. Soc.,
1995, 117, 8051–8052.
6 J. A. Roberts, J. P. Kirby, S. T. Wall and D. G. Nocera, Inorg.
Chim. Acta, 1997, 263, 395–405.
7 J. A. Roberts, J. P. Kirby and D. G. Nocera, J. Am. Chem. Soc.,
1997, 119, 9230–9236.
8 N. H. Damrauer, J. M. Hodgkiss, J. Rosenthal and D. G. Nocera,
J. Phys. Chem. B, 2004, 108, 6315–6321.
9 J. M. Hodgkiss, N. H. Damrauer, S. Presse, J. Rosenthal and D.
G. Nocera, J. Phys. Chem. B, 2006, 110, 18853–8.
10 J. Rosenthal, J. M. Hodgkiss, E. R. Young and D. G. Nocera, J.
Am. Chem. Soc., 2006, 128, 10474–10483.
11 J. Pranata, S. G. Wierschke and W. L. Jorgensen, J. Am. Chem.
Soc., 1991, 113, 2810–2819.
12 T. Uchimaru, J. Korchowiec, S. Tsuzuki, K. Matsumura and S.
Kawahara, Chem. Phys. Lett., 2000, 318, 203–209.
13 O. Lukin and J. Leszczynski, J. Phys. Chem. A, 2002, 106,
6775–6782.
14 O. Lukin and J. Leszczynski, J. Phys. Chem. A, 2003, 107,
9251–9252.
While the dearth of known pKa values in DCM and THF
preclude a similar thermodynamic analysis in those solvents, a
qualitative understanding of interface behaviour is inferred
from experimental results. In the dielectric environment of
DCM, the proton interface maintains the ionized configuration
at the same DpKa difference as ACN, however in the lower
dielectric environment of THF conversion to the ionized tauto-
mer shifts to lower DpKa. THF does not tolerate charge build-
up to the extent that ACN and DCM do, and thereby favours a
non-ionized interface configuration at a lower free energy.
The energetics of the amidinium–carboxylate interface are
essential to assigning a general interface stabilization energy
with the goal of accurately projecting the tautomeric state of the
proton interface to PCET systems. For example, the hydrogen
bonded donor–acceptor, system D–[H+]–A (D = amidinium
appended Zn(II)TMP, A = naphthalene diimide carboxylic
acid) reveals a PCET rate of 9.50 Â 108 sÀ1 with a kinetic
isotope effect (KIE) of 1.06 at room temperature.9 In this case,
the interface is the non-ionized amidine–carboxylic acid tauto-
mer. When this D–[H+]–A system is subtly altered to produce
an ionized amidinium–sulfonate interface (A = naphthalene
diimide sulfonic acid) of similar driving force, (Table 1, repre-
sented by the 1:3 interface), the change in interface configura-
tion has a clear effect on the PCET rate and solvent dependent
ET parameters (|V|, l, Eact).22 The PCET rate roughly doubles
to 19 Â 108 sÀ1 with a KIE of 1.17 and more strikingly ET
parameters show a clear solvent dependence through the io-
nized interface, which is absent in the first system. The enhance-
ment of PCET rate and solvent dependent ET parameters for
15 S. Schlund, C. Schmuck and B. Engels, J. Am. Chem. Soc., 2005,
127, 11115–11124.
16 J. M. Hodgkiss, J. Rosenthal and D. G. Nocera, in Handbook of
Hydrogen Transfer. Physical and Chemical Aspects of Hydrogen
Transfer, ed. J. T. Hynes, J. P. Klinman, H.-H. Limbach and R.
L. Schowen, Wiley-VCH, Weinheim, Germany, 2006, vol. 2.4.17,
pp. 503–562.
17 K. Izutsu, Acid–Base Dissociation Constants in Dipolar Aprotic
Solvents, Blackwell Scientific, Cambridge, USA, 1990.
18 The pKa range reported for each BM are as follows: acetate (4)
pKa = 20–22; chloroacetate (5) pKa = 15–19; and, dichloroace-
tate (6) pKa = 13–15. The pKa of phenylsulfonate (3) is estimated
to be 8 from vales for p-toluenesulfonic acid, pKa = 8 and
2.5-dichlorobenzenesulfonic acid, pKa = 6.2–6.4.
19 Y. Marcus, in Ion Solvation, Wiley, Chichester, 1985, pp.
136–137.
20 K. A. Connors, in Binding Constants: A Measurement of Mole-
cular Complex Stability, Wiley, New York, 1987.
21 Y. Marcus, in Ion Solvation, John Wiley, Chichester, 1985, p. 136.
22 E. R. Young, J. R. Rosenthal, J. M. Hodgkiss and D. G. Nocera,
manuscript in preparation.
ꢀc
This journal is The Royal Society of Chemistry 2008
2324 | Chem. Commun., 2008, 2322–2324