caa a22 4500 465754651 CHVBK 20180323111843.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF01170004 doi (NATIONALLICENCE)springer-10.1007/BF01170004 Elk Seymour Elk Technical Associates, 321 Harris Place, 07646, New Milford, NJ, USA aut A canonical ordering of polybenzenes and polymantanes using a prime number factorization technique [Elektronische Daten] [Seymour Elk] The correlation described over twenty years ago by Matula between the prime factorization of integers and the class of alkanes is re-examined with a view to explaining the probable reason why there have, to date, been no major extensions of this idea. By considering the class of alkanes as a one-dimensional one-parameter system, a new perspective on the method is gained that is amenable to extension, but in a different direction than originally anticipated. With this new perspective, the classes of polybenzenes and polymantanes are seen to be the representatives of two- and three-dimensional one-parameter systems, respectively. A "nomenclature”, comparable to one that Matula used for alkanes, is created that gives a unique canonical name to all possible combinations of either polybenzene or polymantane modules. Such a "nomenclature” contains a "built-in” means of positioning the molecule in the field of interest in accordance with arbitrary pre-selected criteria, such as Patterson's rules, and also coding that indicates symmetries inherent in the structure of this "molecule”. J.C. Baltzer AG, Scientific Publishing Company, 1990 Journal of Mathematical Chemistry Kluwer Academic Publishers 4/1(1990-12-01), 55-68 0259-9791 4:1<55 1990 4 10910 https://doi.org/10.1007/BF01170004 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01170004 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Elk Seymour Elk Technical Associates, 321 Harris Place, 07646, New Milford, NJ, USA aut NATIONALLICENCE 773 0- Journal of Mathematical Chemistry Kluwer Academic Publishers 4/1(1990-12-01), 55-68 0259-9791 4:1<55 1990 4 10910 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer