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Energies for cyclic and acyclic aggregations of adamantane and diamantane units sharing vertices,edges, or six‐membered rings
Authors:Alexandru T Balaban  Debojit Bhattacharya  Douglas J Klein  Yenni P Ortiz
Institution:Texas A & M University at Galveston, Galveston
Abstract:Diamondoids are hydrocarbons having a carbon scaffold comprised from polymer‐like composites of adamantane cages. This article describes computed total energies and “SWB‐tension” energies (often referred to as “strain” energies) for species having n adamantane or diamantane units sharing pairwise: one carbon atom (spiro‐n]adamantane or spiro‐n]diamantane); one C? C bond (one‐bond‐sharing‐n]adamantane or one‐bond‐sharing‐n]diamantane); or one chair‐shaped hexagon of carbon atoms (1234‐helical‐cata‐n]diamantanes). Each of the five investigated polymer‐like types is considered either as an acyclic or a cyclic chain of adamantane‐ or diamantane‐unit cages. With increasing n values, SWB‐tension energies for acyclic aggregates are found to increase linearly, while the net SWB‐tension energies of cyclic aggregates often go thru a minimum at a suitable value of urn:x-wiley:00207608:media:qua25031:qua25031-math-0001. In all five cases, a limiting common energy per unit ( urn:x-wiley:00207608:media:qua25031:qua25031-math-0002) is found to be approached by both cyclic and acyclic chains as urn:x-wiley:00207608:media:qua25031:qua25031-math-0003, as revealed from plots of urn:x-wiley:00207608:media:qua25031:qua25031-math-0004 versus 1/n for acyclic chains and of urn:x-wiley:00207608:media:qua25031:qua25031-math-0005 versus 1/n2 for cyclic chains. © 2015 Wiley Periodicals, Inc.
Keywords:diamondoid hydrocarbons  total and strain energy  spiro‐adamantanes  bond‐ and ‐hexagon‐sharing diamondoids  cyclic and acyclic chains
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