Table 1 Solubilities of imines discussed in this study
B, C, 2, and 3 (Scheme 1, right) is performed in EtOH at
10 times lower component concentrations (4.17 mM) than
initially described, all four imines remain soluble throughout the
course of the reaction. In this case, no self-sorting is observed at
equilibrium: relative molar ratios of B2 (1.00), B3 (1.15),
C2 (1.08), and C3 (1.25) are close to random distribution.11
When a solvent was changed to MeCN—in which all imines are
soluble—similarly random mixtures of four or nine components
were obtained in all [2 × 2] and [3 × 3] experiments. These two
control experiments virtually exclude the possibility that self-
sorting was caused by electronic factors in solution.12 On the
other hand, concentrations of all components can be increased
up to 125 mM (3×) without a large loss in the fidelity of self-
sorting (83% B2, 74% C3). However, at component concen-
trations of 209 mM (5×), dramatic deterioration in fidelity is
observed: B2 is formed in 51% yield, C2 in 42%, and C3
in 34%.13
Solubilitya [mmol L−1] in:
Imine
EtOH
EtOH–H2O (1 : 2.4, v/v)
A1
A2
A3
B1b
B2
B3
B4
C1
C2
C3
C4
D2
D3
D4
>36.8
11.1
29.5
>27.6
0.6
>23.3
8.7
>31.6
5.2
10.9
2.3
13.3
1.5
3.5
>16.6
<0.1
2.8
1.6
8.5
0.3
0.2
1.7
2.9
1.0
0.3
8.6
12.1
7.4
a All solubilities were measured at 22 °C. b Compound B1 was the only
Experiments performed in this study suggest that self-sorting
of DCLs can proceed under precipitative conditions. During pre-
cipitation, some imine libraries sorted into segregated solution/
solid ensembles, while others produced co-precipitated mixtures
—but all reactions proceeded with high selectivities. These four
experiments illustrate an important concept in the study of self-
sorting systems, namely that collective properties take pre-
cedence over the properties of individual components studied in
isolation. This switch is not absolute: dominant members of the
potential imine pool—such as B2 in all our examples—will
invariably occur in the self-sorted state because of their extreme
individual insolubility. On the other hand, library members with
higher individual solubilities are forced to compete with each
other for resources (aldehyde and aniline components). In those
cases, the influence of the remainder of the mixture can be
crucial, as a library member (e.g. C2) can be strongly disfavored
if it competes for a resource with a dominant member (B2). Con-
versely, a library member can be favored beyond its individual
“merit”, if its composition is orthogonal to the dominant
member, while that of its less soluble competitors is not. This
primitive form of internal regulation of a synthetic process
appears to be a general feature of self-sorting systems and the
one that we are currently intensively exploring.
liquid among the studied imines.
differences are not as dramatic as in the previous case: B2 is
∼9 times less soluble than C2, ∼18 times less than C3, and
>35 less than B3. These smaller differences (along with the
lower absolute solubility of C3, vide infra) explain why B2
could not be precipitated alone, leaving the more soluble imines
in the solution. The formation of C3 as the second product is
rationalized by the fact that it does not share either the aldehyde
or the aniline component with the favored B2. Thus, precipita-
tive self-sorting can express the more soluble C3 (which does
not compete with B2), rather than the less soluble C2—which
must compete with B2 for a resource, aldehyde 2.
Sorting of the more complex [3 × 3] aniline–aldehyde mix-
tures could have potentially generated nine imines, but resulted
in the high-yield formation of only three. These findings can
also be rationalized using the solubility data. In the first [3 × 3]
study (Scheme 2, top), possible products included imines A1–3,
B1–3, and C1–3. Among these, imine B2 is ∼9 times less
soluble than next most-insoluble compound, C2. Precipitation of
B2 will thus be favored, sequestering B and 2 from all other
imines that contain them. Within the reduced pool of imines that
do not share a component with B2—that is, compounds A1, A3,
C1, and C3—the only imine that can be precipitated under the
examined conditions is C3. The absolute solubility of A1, A3,
and C1 is too high for them to effectively compete during the
precipitation process. Exclusive precipitation of C3 removes all
C and 3 from the solution, and the soluble A1 must form as the
third product.
Results presented in this Communication were obtained with
the generous financial support from the National Science Foun-
dation CAREER program (CHE-1151292), the donors of the
American Chemical Society Petroleum Research Fund
(ACS-PRF), the Welch Foundation (grant no. E-1768), the
University of Houston (UH) and its Grant to Advance and
Enhance Research, and the Texas Center for Superconductivity
at UH. K.O. acknowledges Drs Joan and Herman Suit for the
Eby Nell McElrath Postdoctoral Fellowship.
Similar reasoning explains the outcome of the last [3 × 3]
experiment. Introduction of the new aldehyde component 4
allows the generation of a highly insoluble imine C4, which is
now the second least-soluble compound (after B2). Since B2 and
C4 do not share constituents, their precipitation can proceed
orthogonally and simultaneously, depleting the solution’s supply
of aldehydes 2 and 4, as well as anilines B and C. This leaves
D3 as the only possible imine in the mother liquor; addition of
H2O ensures its complete precipitation, completing the self-
sorting event.
Notes and references
1 B. M. Rode, D. Fitz and T. Jackschitz, in Origin of Life: Chemical
Approach, ed. P. Herdewijn and M. V. Kısakürek, Helvetica Chimica
Acta/Wiley-VCH, Zürich/Weinheim, 2008, pp. 185–214.
2 M. Klussmann, H. Iwamura, S. P. Mathew, D. H. Wells Jr., U. Pandya,
A. Armstrong and D. G. Blackmond, Nature, 2006, 441, 621–623.
3 (a) J. N. H. Reek and S. Otto, Dynamic Combinatorial Chemistry, Wiley-
VCH, Weinheim, 2010; (b) Dynamic Combinatorial Chemistry in Drug
Discovery, Bioorganic Chemistry, and Materials Science, ed.
Lastly, we explored the effects of concentration and solvent on
the compositions of final imine libraries. If the reaction between
This journal is © The Royal Society of Chemistry 2012
Org. Biomol. Chem., 2012, 10, 4847–4850 | 4849