By D Bonchev, D.H Rouvray

Topology is changing into more and more vital in chemistry due to its swiftly turning out to be variety of purposes. right here, its many makes use of are reviewed and the authors expect what destiny advancements may possibly carry. This paintings indicates how major new insights could be received by way of representing molecular species as topological buildings often called topographs. The textual content explores carbon buildings, developing how the steadiness of fullerene species could be accounted for and likewise predicting which fullerenes might be so much solid. it really is mentioned that molecular topology, instead of molecular geometry, characterizes molecular form and diverse instruments for form characterization are defined. numerous of the attention-grabbing principles that come up from relating to topology as a unifying precept in chemical bonding concept are mentioned, and particularly, the unconventional suggestion of the molecular topoid is proven to have various makes use of. The topological description of polymers is tested and the reader is lightly guided in the course of the nation-states of branched and tangled polymers. total, this paintings outlines the truth that topology isn't just a theoretical self-discipline but additionally one who has sensible purposes and excessive relevance to the complete area of chemistry.

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M. B. H. , Elsevier, Amsterdam, 1987. 48. M. M . C. Haltiwanger, J. Am. Chem. , 104, 3219 (1982). 49. T. Archibald, Math. , 62, 219 (1989). 50. W. Thompson, Phil. , 34, 15 (1867). 51. E. G. , Kluwer, Dordrecht, 1991, p. 119. J. 1 Introduction......................................................................................... 3 Stoichiometry and Euler’s R elation.............................................. 4 Curvatures and G raph Em beddings.............................................. 5 Curvature Strain in M olecules.......................................................

23. V. Schlegel, Nova Acta Leop. , 44, 343-459 (1883). 24. J. Mansfield, Introduction to Topology, Van Nostrand, Princeton, New Jersey, 1963, p. 40. 25. H. Whitney, Am. J. , 54, 150 (1932). 26. F. M. Palmer, Graphical Enumeration, Academic Press, New York, 1973, p. 224. 27. T. Tutte, J. Combin. Theory Ser. B, 28, 105, (1980). 28. W. J. Federico, Math. , 37, 523 (1981). 29. P J . Federico, Geom. , 3, 469 (1975). 30. D. D. , A29, 362 (1973). 31. B. T. , Plenum Press, New York, 1997. 32. L. H. Knoth, Polyhedral Boranes, Marcel Dekker, New York, 1968.

10a). The 11 faces obtained in this way do not constitute a polyhedron by the standard definition since the num ber of faces meeting at each edge is three rather than the required two. 10a remain. The resulting figure consists of the remaining four triangles and the three squares and is the heptahedron since it has seven faces. The edges and vertices of this heptahedron are the same as the edges and vertices of the underlying octahedron. The diagonals of the underlying octahedron are not edges of the heptahedron but are lines where it intersects itself.