Failed Banks, Bailouts, and Federal Policy

Two Stability Criteria for Benzenoid Hydrocarbons and Their Relation

“…Recall that the same has been done in our earlier studies of π-electron properties of benzenoid hydrocarbons. [5,21,22,25] Bearing in mind McClelland's upper bound (6) and Oboudi's lower bound (8), we see that the true value of total π-electron energy must lie between these two estimates, i.e., it should be…”

“…Same is in our earlier works, [5,21,22,25] formula (5) was tested on the standard sample of 105 Kekulèan benzenoid hydrocarbons from the book of Zahradnik and Pancir. [26] By least-squares fitting we found = ± 0 0.889 0.001 A and = ± 0 0.025 0.005 B…”

“…Here, again, A is a fitting parameter. Formula (7) was tested in due detail [5,25] and found to be better than any other (n,m)-type approximation. For molecular graphs with even number of vertices,…”

“…The topological properties of this class of compounds have been studied in due detail. [5,15,16] It is worth mentioning that Edward Kirby also did significant contributions to this field. [17][18][19][20] It is reasonable to expect that π E and Δ HL are somehow related.…”

“…The total π-electron energy is related to the thermodynamic stability of the underlying conjugated compounds, for details see. [4,5] The structure-dependency of π E is nowadays well understood, see [5][6][7] and the references cited therein.…”