Journal of the American Chemical Society
COMMUNICATION
With the aid of CPK models we interpret these results as
follows. Guests methane through butane bind to the host but are
small enough such that there is too much void space in the 2:2
complex and the 1:1 complexes are energetically preferred.
These results are in contrast to the cavitand devoid of methyl
groups at its rim (1b), which readily forms thermodynamically
and kinetically stable 2:2 complexes with propane and butane
(butane data shown in Figure 2). Hence, the methyl groups at the
rim of 1a reduce the relative stability of the capsular complex. On
the other hand, the size of n-pentane is such that it leads to little
void space in the 1:1 complex and dimerization to form a 2:2
complex is energetically preferred because this allows complete
dehydration of the hydrophobic surfaces that form the dimeriza-
tion interface. The guests n-hexane through n-octane are how-
ever too large to form stable 2:2 complexes and too small to form
stable 2:1 complexes. As a result it is the 1:1 complex that is
energetically preferred, especially in the case of n-heptane and n-
octane. In contrast however, the still larger guests are of sufficient
size to form a stable 2:1 hostÀguest complex; they do not form
1:1 complexes because a significant portion of the guest would
remain hydrated in free solution.
as an unusual switch because three different types of supramo-
lecular species can be formed, and because many of these species
are approximately isoenergetic. Considering the elaborate
switching properties of many proteins it is likely that nodes
displaying unusual properties are common, and even essential, to
biological networks. With this notion in mind we are continuing
our investigations of 1a to determine the degree of control that is
possible within such switching. We will report on these findings
at a future date.
’ ASSOCIATED CONTENT
Supporting Information. Experimental details, 1H NMR
S
b
and PGSE experiments, and truth table. This material is available
’ AUTHOR INFORMATION
Corresponding Author
Although guests of nine carbons or more are good templates
for the formation of 2:1 hostÀguest capsular complexes, the
limited predisposition of host 1a to form a dimeric capsule means
that many of the different supramolecular species that can form
for the guests ethane through n-octane are approximately iso-
energetic. This ‘confluence’ of supramolecular species is evident
at both a ‘local level’, where more than one species is observed to
exist in solution, and ‘globally’ in the nonmonotonicity of the
diffusion data/assembly state. The confluence is all the more
intriguing when it is recalled that a small energy difference of
0.5 kcal molÀ1 establishes a 70:30 ratio of two equilibrated
species, and that competition experiments involving guest bind-
ing in simple 1:1 hostÀguest systems frequently reveal ΔΔG°
values of 2À3 kcal molÀ1 for guests differing only in a methylene
group.28,29 Hence for the guests ethane through n-octane, many
of the 1:1, 2:1, and 2:2 complexes and assemblies observed here
likely lie within 0À1.0 kcal molÀ1 of each other, a range that is
hard to engineer in a simple hostÀguests system.
’ ACKNOWLEDGMENT
B.C.G. acknowledges the financial support of the NSF (CHE-
0718461). H.G. acknowledges the Post-Katrina Support Fund
Initiative (PKSFI, LEQSF(2007-12)-ENH-PKSFI-PRS-04) for
support.
’ REFERENCES
(1) Bar-Yam, Y. Dynamics of Complex Systems; Westview: Boulder,
1997.
(2) Gibb, B. C. Nature Chem. 2009, 1, 17–18.
(3) Gibb, B. C. Nature Chem. 2009, 1, 252–253.
(4) Alon, U. An Introduction to Systems Biology: Design Principles of
Biological Circuits; Chapman & Hall/CRC: Boca Raton, FL, 2007.
(5) Ludlow, R. F.; Otto, S. Chem. Soc. Rev. 2008, 37, 101–108.
(6) del Amo, V.; Philp, D. Chem.—Eur. J. 2010, 16, 13304–13318.
(7) de Groot, S. R.; Mazur, P. Nonequilibrium Thermodynamics;
Dover: New York, 1984.
The self-assembly of cavitands such as 1a and 1b can be
envisioned in terms of Boolean logic. For example, a pair of
selected guests (A and B) can be considered as inputs, while the
output of the logic gate is either 0 (no assembly) or 1 (assembly
into a 2:1 or 2:2 complex).30 Hence, both 1a and 1b function as
B gates (true whenever B is true) when guests inducing assembly
are defined as B inputs. If an arbitrary threshold of 12 nm3
(Figure 2) is chosen to define responses of 0 and 1, then for host
1a the A inputs are methane to n-butane and n-hexane to n-octane,
whereas the B inputs correspond to n-pentane and n-nonane
through n-tetradecane. For host 1b, an input of A corresponds to
methane and ethane, and an input of B to guests propane and
larger. Defining these systems as two-input, one-output gates does
however fail to illustrate an important difference between hosts 1a
and 1b; that is that when considering adjacent pairs in the
homologous series, 1b is only capable of differentiating between
ethane and propane, whereas 1a can differentiate between
n-butane and n-pentane, n-pentane and n-hexane, and n-octane
and n-nonane. Hence, it is perhaps more appropriate to consider
the nine guests methane through n-nonane as unique inputs and
treat the system as a nine-input, one-output gate (SI).
(8) Molecular Devices and Machines: Concepts and Perspectives for the
Nanoworld; Wiley-VCH: Weinheim, 2008.
(9) Molecular Switches; Wiley-VCH: Weinheim, 2001.
(10) Zhao, Y.-L.; Li, Z.; Kagehie, S.; Botros, Y. Y.; Stoddart, J. F.;
Zink, J. I. J. Am. Chem. Soc. 2010, 132, 13016–13025.
(11) Klajn, R.; Stoddart, J. F.; Grzybowski, B. A. Chem. Soc. Rev.
2010, 39, 2203–2237.
(12) de Silva, A. P.; James, M. R.; Mckinney, B. O. F.; Pears, D. A.
Nat. Mater. 2006, 5, 787–789.
(13) Collier, C. P.; Wong, E. W.; Belohradsky, M.; Raymo, F. M.;
Stoddart, J. F.; Kuekes, P. J.; Williams, R. S.; Heath, J. R. Science 1999,
285, 391–394.
(14) Tian, H.; Wang, Q. C. Chem. Soc. Rev. 2006, 35, 361–374.
(15) Atkins, P.; de Paula, J. Physical Chemistry; W. H. Freeman and
Company: New York, 2006.
(16) Anslyn, E. V.; Dougherty, D. A. Modern Physical Organic
Chemistry; University Science Books: Sausalito, CA, 2006.
(17) For previous work detailing the encapsulation of hydrocarbons
in supramolecular nanocapsules, see: (a) Gibb, C. L. D.; Gibb, B. C.
Chem. Commun. 2007, 1635–1637. (b) Gibb, C. L. D.; Gibb, B. C. J. Am.
Chem. Soc. 2006, 128, 16498–16499. (c) Scarso, A.; Trembleau, L.;
Rebek, J., Jr. J. Am. Chem. Soc. 2004, 126, 13512–13518. (d) Ajami, D.;
Rebek, J., Jr. Angew. Chem., Int. Ed. 2008, 47, 6059–6061. (e) Branda, N.;
Wyler, R.; Rebek, J., Jr. Science 1994, 263, 1267–1268. (f) Hooley, R. J.;
Biros, S. M.; Rebek, J., Jr. Chem. Commun. 2006, 509–510.
In conclusion, we have identified a hostÀguest system with an
unusual nonmonotonic assembly profile. The system functions
4772
dx.doi.org/10.1021/ja200633d |J. Am. Chem. Soc. 2011, 133, 4770–4773