On the basis of a variable neighbourhood search with the AutoGraphiX software, it is conjectured that for even numbers of atoms the fully conjugated acyclic π system of maximum HOMO-LUMO gap is a 'comb' in which each vertex of a backbone carries a single pendant edge. Chemically, this represents CnH3n/2+2, an α,ω-diene with methylene groups attached at all intermediate positions. As n increases without limit, the conjectured asymptotic dimensionless gap is 22-2. Odd-numbered graphs that would have maximum gap as singly charged π systems are reported for up to 41 vertices; they are related to comb graphs. © 2001 Elsevier Science B.V.
Polyenes with maximum HOMO-LUMO gap
Soncini A.
2001
Abstract
On the basis of a variable neighbourhood search with the AutoGraphiX software, it is conjectured that for even numbers of atoms the fully conjugated acyclic π system of maximum HOMO-LUMO gap is a 'comb' in which each vertex of a backbone carries a single pendant edge. Chemically, this represents CnH3n/2+2, an α,ω-diene with methylene groups attached at all intermediate positions. As n increases without limit, the conjectured asymptotic dimensionless gap is 22-2. Odd-numbered graphs that would have maximum gap as singly charged π systems are reported for up to 41 vertices; they are related to comb graphs. © 2001 Elsevier Science B.V.File in questo prodotto:
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