Structure/formula informatics of isomeric sets of fluoranthenoid/fluorenoid and indacenoid hydrocarbons |
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| Authors: | Jerry Ray Dias |
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| Institution: | (1) Psychology Department, Georgetown University, Washington, DC 20057, USA;(2) Department of Philosophy, University of Stockholm, 106 91 Stockholm, Sweden;(3) Department of Chemistry and Biochemistry, UCLA, Los Angeles, CA 90095, USA;(4) Unit for History and Philosophy of Science, University of Sydney, Sydney, NSW, 2006, Australia |
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| Abstract: | The systematics of fluoranthenoid/fluorenoid and indacenoid hydrocarbons is studied. Successive circumscribing a set of isomeric
structures that result in a constant number of isomers at each circumscribing step gives what is called a constant-isomer
series. Constant-isomer series have a repetitive isomer number pattern in which those series with the same isomer number have
a one-to-one matching in topology among their membership. The general formulas of the matching constant-isomer sets of indacenoids
are reproduced by C4p2+1H4p+1{{\rm C}_{{{4p}^{2}}{+1}}{\rm H}_{4p+1}} and C4p2+4p+3H4p+3{{\rm C}_{{{4p}^{2}}{+4p+3}}{\rm H}_{4p+3}}, respectively, by successively inputting p = 1, 2, 3, . . ., and the general formula for the unique indacenoid constant-isomers is reproduced by Cp2+3p+4H2p+4{{\rm C}_{{p^{2}}{+3p+4}}{\rm H}_{2p+4}}. Similar general formulas for the fluoranthenoid/fluorenoid hydrocarbon constant-isomer series are also presented. |
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