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What Are the Structures of the Octet Rule Obeying All-Carbon Species Cx (2 ≤ x ≤ 7 and Larger x)?: A Pedagogical, Mathematical, and Pictorial Study
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Author(s): Kori D. McDonald (University of Maryland – Baltimore County (UMBC), USA), Evelyn O. Ojo (University of Maryland – Baltimore County (UMBC), USA)and Joel F. Liebman (University of Maryland – Baltimore County (UMBC), USA)
Copyright: 2017
Pages: 45
Source title:
Sustainable Nanosystems Development, Properties, and Applications
Source Author(s)/Editor(s): Mihai V. Putz (West University of Timişoara, Romania & Research and Development National Institute for Electrochemistry and Condensed Matter (INCEMC) Timişoara, Romania)and Marius Constantin Mirica (Research and Development National Institute for Electrochemistry and Condensed Matter (INCEMC) Timişoara, Romania)
DOI: 10.4018/978-1-5225-0492-4.ch001
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Abstract
With most carbon structures still unknown and undiscovered, it becomes increasingly important to find a way to discover, characterize, and understand them. This paper discusses the possible structures for all-carbon species in which each carbon obeys the octet rule. The number and structural diversity of such compounds strongly increases with the number of carbons: C2, 1; C3, 1; C4, 3; C5, 6; C6, 15. Only some of the C7 species were drawn -- merely 23 isomers were given. To guarantee structural uniqueness, names and visual inspection appear to be insufficient. Instead, a new method, using the eigenvalues and eigenvectors of the structure's adjacency matrix and modified matrices, was introduced and then employed. With this we hoped to gain a better understanding of what was chemically reasonable and realizable for our produced structures.
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