Тиофеновые производные

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Chem. Ber. 1 9 8 1 , U 4 , 3965. ; M aier, G. A ngew. Chem. 1 9 8 4 ,2 6 , 967. ; Castaldi, G. J. Am. Chem. Soc. 1 985, 107. 724. A . ib id . 1982, 104. 4503. C. J. Am. Chem. Soc. 1 9 8 2 , 104. 3219-3221. We thank Professors Jonathan Simon and W alter Seaman, o f the Department o f Mathematics, U niversity o f Iowa, fo r pointing out to us the properties o f the equilateral Mobius band. W. Phvs, Rev. L e tt. 1 9 8 6 , 56, 2598-2601. L. Science. 1 9 8 6 , 234, 424-426. See also Nature 1986, 323.

Attacking the question in the normal chemistry way, we began searching fo r symmetry presentations o f the graph. A symmetry presentation is a rig id ly achiral presentation o f the graph. The simplest symmetry presentation to find for one dimensional objects embedded in 3-space is a planar presentation. The topological chirality o f most molecular graphs can be easily ruled out, since most are planar graphs. The Mobius ladder, however, is a K 33 non-planar graph. Experiments on paper, however, soon showed that the K 3 3 graph itself, w ith nine equivalent edges and six equivalent vertices, does possess symmetry presentations.

Strogatz, Physica D, 9(1983), 65. 27. T. H. Strogatz, Physica D, 9(1983), 333. 28. T. H. Strogatz, Physica D, 13(1984), 221. 29. T. H. Strogatz, Nature, 311 (1984), 611. 30. E. Baer, A. D. Kieth, Science, 235(1987), 1015. 31. W. Milnor, Topology from the Differentiable Viewpoint, Univ. of Va. Press, 1965. 32. W. Sumners, in preparation. B. H. , Amsterdam — Printed in The Netherlands 23 TOPOLOGICAL STEREOCHEMISTRY: KNOT THEORY OF MOLECULAR GRAPHS D AVID M. W A LBA Department o f Chemistry and Biochem istry, Box 215, U niversity o f Colorado, Boulder, CO 80309-0215 ABSTRACT Chemists have always been intrigued and stimulated by consideration o f the structural causes o f isomerism (the phenomenon where two chemical compounds w ith the same number and kind of atoms exist as distinct, isolable entities).

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