Weatherhead-Kloster et al.
NH
The magnitudes of the Ka values obtained (Ka 0.4-
0.7 M-1, Ka ≈ 0.1 M-1) are in line with reported values
Ha
for self-association of other cis lactams in chloroform.30
Self-association of cis lactams, including 6, is impeded
by complexation of chloroform with the amide moieties.
For this reason, the effort to obtain more and better NMR
data from compound 6 was abandoned in favor of
redesigning the probe to increase solubility in nonpar-
ticipatory NMR solvents.
The present study contributes to the substantial body
of work by others on crystal nucleation and growth.31
Others have shown that polymorphism can be controlled
by addition of small molecules that reversibly mask one
or more features of a molecule undergoing crystalliza-
tion.32 For example, aggregation of tetrolic acid in ethanol
and chloroform was studied by FTIR-ATR and correlated
with spectra of crystal polymorphs that exhibit C(4) and
R22(8) hydrogen-bonding patterns.33 Herein, a combina-
tion of X-ray crystallographic, mass spectrometric, and
nuclear magnetic resonance spectroscopic studies led to
descriptions of alternative aggregation modes and quali-
tative and quantitative analyses of the equilibria involv-
ing monomer and dimers of 6 in solution. In future work
replacement of the N-methyl by a more lipophilic group
will permit NMR studies of aggregation in noninterfering
solvents. This should make possible extraction and
comparison of values of ∆G, ∆H, and ∆S for self-
FIGURE 13. Sketch of piperazinedione 13 capped by trifluoro-
acetic acid molecules after unpublished work by Williams,
Bruck, and Mash.27 The preliminary crystal structure report
for 13‚2TFA appears in the Supporting Information.
associations of
a set of mono-N-alkyl piperazine-
diones related to compounds 1-5 and shed light on the
effect of alkyl chain length on self-association. This
information would inform future crystal design efforts
by providing a more complete understanding of the
thermodynamics and kinetics of relevant intermolecular
associations.34
FIGURE 14. Concentration dependence of the chemical shifts
of the aryl protons Ha and Hf of 6 at 300 MHz in CDCl3
containing 4% TFA at 298 K.
Experimental Section
TFA-d (4% v/v, 520 mM) was added to the CDCl3
solutions of 6 used in the concentration- and tempera-
ture-dependent NMR studies. This proved to be enough
TFA to disrupt hydrogen bonding without introducing an
overwhelming solvent effect. In the presence of TFA the
signals due to aryl protons Ha and Hf both shift slightly
upfield with increasing concentration (Figure 14). Little
or no temperature dependence was observed. These
observations support attribution of the more substantial
upfield shift of Ha, but not Hf, to arene edge-to-face
association in the hydrogen-bonded dimer.
Linear relationships exist between the observed NH
and Ha proton chemical shifts and concentration over the
concentration range studied, indicative of dynamic equi-
libria between monomer and dimers (see eq 2 and Figures
15 and 16). Since separate signals for the monomer and
dimers were not observed, equilibration was rapid on the
NMR time scale and the observed chemical shifts repre-
sented the weighted averages of the chemical shifts of
the contributing species.
Ethyl 2-Benzyloxycarbonylamino-4,7-dimethoxyindan-
2-carboxylate (8). Dibenzyl dicarbonate (1.68 g, 5.89 mmol)
was added to a solution of ethyl 2-amino-4,7-dimethoxyindan-
2-carboxylate10 (7, 520 mg, 1.96 mmol) in CH2Cl2 (15 mL) and
the solution heated to reflux. After 19 h the mixture was
cooled, diluted with CH2Cl2 (200 mL), and washed with water
(100 mL) and saturated NaCl (100 mL). The organic phase
was dried with MgSO4, concentrated under reduced pressure
to a crude yellow oil, and purified by gravity chromatography
(230-400 mesh silica pretreated with 1% NEt3, 30% EtOAc
in hexanes) to give 8 as an off-white solid (660 mg, 84% yield).
Rf ) 0.71 (50% EtOAc/hexanes). mp 113-114 °C. IR (KBr,
cm-1): 1741, 1701. 1H NMR (CDCl3, 300 MHz): δ 1.18 (s, 3H),
3.25 (d, J ) 16.8 Hz, 2 H), 3.54 (d, J ) 16.8 Hz, 2 H), 3.73 (s,
6H), 4.17 (s, 2H), 5.06 (s, 2H), 5.54 (s, 1H), 6.62 (s, 2H), 7.29
(s, 5H). 13C NMR (CDCl3, 75 MHz): δ 13.9, 41.4, 55.4, 61.5,
65.7, 66.5, 109.2, 127.9, 128.3, 129.1, 136.2, 149.9, 155.2, 173.2.
(30) (a) Chen, C.; Swenson, C. J. Phys. Chem. 1969, 73, 2999-3008.
(b) Krikorian, S. J. Phys. Chem. 1982, 86, 1875-1881.
(31) (a) Weissbuch, I.; Lahav, M.; Leiserowitz, L. Cryst. Growth Des.
2003, 3, 125-150. (b) Blagden, N.; Davey, R. J. Cryst. Growth Des.
2003, 3, 873-885.
(32) (a) Luo, T.-J. M.; MacDonald, J. C.; Palmore, G. T. R. Chem.
Mater. 2004, 16, 4916-4927. (b) Blagden, N.; Song, M.; Davey, R. J.;
Seton, L.; Seaton, C. C. Cryst. Growth Des. 2005, 5, 467-471. (c)
Weissbuch, I.; Torbeev, V. Y.; Leiserowitz, L.; Lahav, M. Angew. Chem.,
Int. Ed. 2005, 44, 3226-3229.
(33) Parveen, S.; Davey, R. J.; Dent, G.; Pritchard, R. G. J. Chem.
Soc., Chem. Commun. 2005, 1531-1533.
(34) Kloster, R. A.; Carducci, M. D.; Mash, E. A. Org. Lett. 2003, 5,
3683-3686.
The concentration- and temperature-dependent chemi-
cal shift data for 6 were treated quantitatively by
application of the method of Horman and Dreux29 and
the results confirmed by iterative best-fit least-squares
analysis. The details of this analysis appear in the
Supporting Information.
(29) Horman, I.; Dreux, B. Helv. Chim. Acta 1984, 67, 754-764.
8700 J. Org. Chem., Vol. 70, No. 22, 2005