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Synthesis of a doubly interlocked [2]catenane
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There are, however, other considerations, such as the degree of twisting in either of the two rings, when contemplating two-ring links. In a simple two-crossing [2]catenane-link, both rings are flat. If, however, one of the rings contains a half-twist, then a doubly interlocked [2]catenane is obtained. See Nierengarten, J.-F.; Dietrich-Buchecker, C. O.; Sauvage, J.-P. Synthesis of a Doubly Interlocked [2]Catenane. J. Am. Chem. Soc. 1994, 776, 375-376. This interlocked molecule is one of the many elegant examples that Sauvage has introduced since 1983 into the arena of topological chemistry using metal ion templation. See Dietrich-Buchecker, C. O.; Sauvage, J.-P.; Kintzinger, J.-P. Une Nouvelle Famille de Molecules: Les Metallo-Catenanes. Tetrahedron Lett. 1983, 24, 5095-5098.
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There are, however, other considerations, such as the degree of twisting in either of the two rings, when contemplating two-ring links. In a simple two-crossing [2]catenane-link, both rings are flat. If, however, one of the rings contains a half-twist, then a doubly interlocked [2]catenane is obtained. See Nierengarten, J.-F.; Dietrich-Buchecker, C. O.; Sauvage, J.-P. Synthesis of a Doubly Interlocked [2]Catenane. J. Am. Chem. Soc. 1994, 776, 375-376. This interlocked molecule is one of the many elegant examples that Sauvage has introduced since 1983 into the arena of topological chemistry using metal ion templation. See Dietrich-Buchecker, C. O.; Sauvage, J.-P.; Kintzinger, J.-P. Une Nouvelle Famille de Molecules: Les Metallo-Catenanes. Tetrahedron Lett. 1983, 24, 5095-5098.
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van Gulick, N. Theoretical Aspects of the Linked Ring Problem. New J. Chem. 1993, 77, 619-625. This manuscript was written in 1960 and circulated as a preprint after being rejected by Tetrahedron as "not being chemistry" before finally being published in 1993. For a commentary, see Walba, D. M. Preface to van Gulick Paper. New J. Chem. 1993, 77, 618.
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12344284161
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note
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For a cyclic [3]catenane, such as that depicted by structure III, there are four possible topological stereoisomers. In this two-dimensional representation, the crossing of any two rings is equivalent to one-half-turn of a helix. In this case, the sense of all three helices is right-handed, i.e., PPP. The structure in which all three helices are left-handed (MMM) is a nonsuperimposable mirror image of III; i.e., it is a topological enantiomer. A topological diastereoisomer of III is one in which the sense of only one of the helical crossings is reversed, i.e., the MMP isomer, which constitutes a second topologically enantiomeric pair with its nonsuperimposable mirror image, namely, the PPM isomer.
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0032349517
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The Borromean rings
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Cromwell, P. R.; Beltrami E.; Rampichini, M. The Borromean Rings. Math. Intelligencer 1998, 20, no. 1, 53-62. This article has been expanded and adapted into a webpage, see http:// www.liv.ac.uk/~spmr02/rings/index.html.
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23
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12344292845
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note
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Although named after the Borromeo family, this linked symbol is also associated with other prominent Italian families of the period (for details, see ref 15). Most notable amongst these is the Medici family of Florence, whose connection with this imagery is immortalized in Botticelli's painting, Pallas and the Centaur. Finished in 1482, this piece of art, commissioned by Lorenzo di Piero de'Medici, otherwise known as Lorenzo the Magnificent, depicts Pallas (Athena) taming a centaur, a motif that is thought to be allegorical of wisdom triumphing over instinct. Significantly, the gown worn by Pallas is decorated with three- and four-component links, with the former akin to the Borromean rings, which were symbols of the Medici family. This painting now hangs in the Uffizi Gallery in Florence. We thank Joanne Wright in the Department of Fine Arts at the University of Nottingham for bringing this association to our attention.
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Chemical topology and interlocking molecules
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Pergamon Press: New York
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Rings with the Borromean-link topology have been fashioned into logos of numerous organizations, including (i) the Ricordi Music Company, (ii) the Pisa Research Corporation, in which a Mobiüs strip is intertwined with the three-ring link, and (iii) the Ballantine Brewery of Newark, NJ. For a more comprehensive list, consult ref 15. Interestingly, it has been observed (Nickon, A.; Silversmith, E. F. Organic Chemistry-The Name Game; Pergamon Press: New York, 1987; pp 156-157) that, in the 1950s, students in Harvard's research laboratories would refer to "ballantine compounds" when describing Borromean-ring structures.
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Nickon, A.1
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A rotaxane is a molecule comprised of a linear dumbbell-shaped component-bearing bulky end groups-around which one or more macrocycles are trapped. Although remote from mathematical concepts such as topology-the molecular graph of a rotaxane is, without exception, planar (see ref 10b)-rotaxanes are usually associated with their interlocked brethren, i.e., catenanes, as a consequence of structural similarity exhibited by those two archetypal classes of mechanically-linked compounds. The first reported synthesis of a rotaxane appeared less than a decade after that announcing the first catenane, see Harrison, I. T.; Harrison, S. The Synthesis of a Stable Complex of a Macrocycle and a Threaded Chain. J. Am. Chem. Soc. 1967, 89, 5723-5724.
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12344307588
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note
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Regardless of which pathway is chosen, the final step in the synthesis of any molecular expression of the Borromean link is the ring closure of the third ring. The nature of the intermediate that exists immediately prior to this post-assembly covalent modification may differ in a geometric sense; i.e., it may or may not incorporate a ring-in-ring motif, but the topology is the same and necessarily remains independent of the pathway, otherwise the product would not be the Borromean rings!
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37
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0000709725
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Macrocycles within macrocycles: Cyclen, cyclam, and their transition metal complexes encapsulated in cucurbit[8]uril
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Herein, the term "ring-in-ring" describes a complex in which one macrocyclic component is threaded through another such that their mean planes are approximately perpendicular to each other. For examples of the more familiar "macrocycle-within-macrocycle" juxtaposition, in which the mean planes of the rings are roughly coincident, see (a) Kim, S.-Y.; Jung, I.-S.; Lee, E.; Kim, J.; Sakamoto, S.; Yamaguchi, K.; Kim, K. Macrocycles Within Macrocycles: Cyclen, Cyclam, and their Transition Metal Complexes Encapsulated in Cucurbit[8]uril. Angew. Chem., Int. Ed. 2001, 40, 2119-2121.
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(b) Day, A. I.; Blanch, R. J.; Arnold, A. P.; Lorenzo, S.; Lewis, G. R.; Dance, I. A Cucurbituril-Based Gyroscane: A New Supramolecular Form. Angew. Chem., Int. Ed. 2002, 41, 275-277.
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Hubin, T. J.; Kolchinski, A. G.; Vance, A. L.; Busch, D. H. Template Control of Supramolecular Architecture. Adv. Supramol. Chem. 1999, 5, 237-357. Prior to this report, in partial satisfaction of UCLA doctoral degree requirements, one of us presented a not dissimilar ring-in-ring strategy. See Cantrill, S. J. The Synthesis of Borromean Rings. UCLA Original Research Proposal, December 15, 1998.
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Hubin, T. J.; Kolchinski, A. G.; Vance, A. L.; Busch, D. H. Template Control of Supramolecular Architecture. Adv. Supramol. Chem. 1999, 5, 237-357. Prior to this report, in partial satisfaction of UCLA doctoral degree requirements, one of us presented a not dissimilar ring-in-ring strategy. See Cantrill, S. J. The Synthesis of Borromean Rings. UCLA Original Research Proposal, December 15, 1998.
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Nucleic acid nanostructures and topology
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Seeman, N. C. Nucleic Acid Nanostructures and Topology. Angew. Chem., Int. Ed. 1998, 37, 3220-3238.
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Assembly of borromean rings from DNA
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Mao, C.; Sun, W.; Seeman, N. C. Assembly of Borromean Rings from DNA. Nature 1997, 386, 137-138.
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On Borromean links
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Whereas the simplest Borromean link possesses 6 crossing points, Seeman's DNA Borromean rings have 18 crossings. The specific emblem of the Borromeo family is the first in a series of such links in which the number of crossings is a multiple of 6. This DNA congener, therefore, is the third in the series. For a discussion on this family of links, see Liang, C.; Mislow, K. On Borromean Links. J. Math. Chem. 1994, 76, 27-35.
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Kinetic and thermodynamic control in self-assembly: Sequential formation of linear and circular helicates
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Hasenknopf, B.; Lehn, J.-M.; Boumediene, N.; Leize, E.; van Dorsselaer, A. Kinetic and Thermodynamic Control in Self-Assembly: Sequential Formation of Linear and Circular Helicates. Angew. Chem., Int. Ed. 1998, 37, 3265-3268.
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Dynamic covalent chemistry
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Rowan, S. J.; Cantrill, S. J.; Cousins, G. R. L.; Sanders, J. K. M.; Stoddart, J. F. Dynamic Covalent Chemistry. Angew. Chem., Int. Ed. 2002, 47, 898-952.
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Molecular borromean rings
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(a) Chichak, K. S.; Cantrill, S. J.; Pease, A. R.; Chiu, S.-H.; Cave, G. W. V.; Atwood, J. L.; Stoddart, J. F. Molecular Borromean Rings. Science 2004, 304, 1308-1312.
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Borromean rings: A one-pot synthesis
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(b) Schalley, C. A. Borromean Rings: A One-Pot Synthesis. Angew. Chem., Int. Ed. 2004, 43, 4399-4401.
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A novel synthetic strategy for hexanuclear supramolecular architectures
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For a related structure, see Dolomanov, O. V.; Blake, A. J.; Champness, N. R.; Schröder, M.; Wilson, C. A Novel Synthetic Strategy for Hexanuclear Supramolecular Architectures. Chem. Commun. 2003, 682-683.
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Borromean links and other non-conventional links in " polycatenated" coordination polymers: Re-examination of some puzzling networks
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Examples of Borromean links have been identified retroactively in some coordination polymers. See Carlucci, L.; Ciani, G.; Proserpio, D. M. Borromean Links and Other Non-Conventional Links in "Polycatenated" Coordination Polymers: Re-examination of some Puzzling Networks. CrystEngComm 2003, 5, 269-279.
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Fabrication of topologically complex three-dimensional microstructures: Metallic microknots
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For a metallic microstructure possessing the Borromean topology, see Wu, H.; Brittain, S.; Anderson, J.; Grzybowski, B.; Whitesides, S.; Whitesides, G. M. Fabrication of Topologically Complex Three-Dimensional Microstructures: Metallic Microknots. J. Am. Chem. Soc. 2000, 722, 12691-12699.
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