Biomedical subjects
Publications and source records attributed to Jerry Ray Dias.
X-ray crystallographic determinations and AM1 calculations have defined the solid-state and gas-phase structures of cyclotri(deoxycholate) and cyclotetra(24-norcholate). The latter cyclotetramer is one of the largest open macrocycles ever subjected to crystallography.
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The concept of disjoint NBMOs in diradical alternant hydrocarbons (AHs) is reviewed and extended to diradical nonalternant hydrocarbons (nonAHs). A valence-bond (VB) method for recognizing disjoint versus nondisjoint NBMOs (nonbonding molecular orbitals) in diradicals is presented. When circumscribed with hexagonal rings, disjoint diradicals produce nonradical polycyclic successors and nondisjoint diradicals produce diradical polycyclic successors. The interconnection between the topological VB terms of cross-conjugated, disjoint NBMOs, and essentially disconnected polycyclic hydrocarbons is delineated.
While briefly reviewing how the concepts of strictly pericondensed, strain-free, Clar's aromatic sextet, and symmetry are interconnected in the topological correspondence between strictly pericondensed and total resonant sextet (TRS) benzenoid hydrocarbons, new structural correlations in isomer numbers, symmetry distributions, and empty rings between various strain-free TRS benzenoids made up of only fused hexagonal rings are presented. These correlations are made evident by the Formula Periodic Table for Total Resonant Sextet Benzenoid Hydrocarbons [Table PAH6(sextet)] and application of the leapfrog operation. A new perimeter topology relationship for fused strain-free TRS benzenoids is derived. This work represents a contribution toward understanding formula/structure relationships of benzenoid hydrocarbons.
The equivalence of the perimeter topological equations derived by Dias and the 13 possible modes of hexagon adjacency in fused benzenoid systems subsequently presented by Cyvin, Gutman, and collaborators is shown. The aufbau principle for generation of all fused total resonant sextet (TRS) benzenoid hydrocarbons is proved. The precise distinction and topological properties between fused, nonfused, strain-free, strained, helical, and nonhelical benzenoid hydrocarbons are carefully delineated. The TRS benzenoid isomers have the maximum number of bay regions, and expressions for the number of bay regions that any given TRS benzenoid will have are given.
While critically reviewing the current status of what is known about C28H14 and C30H14 benzenoid isomers, which are ubiquitous pyrolytic constituents, some new insights will be presented. Representative isomers belonging to these benzenoid hydrocarbons are at the crossroads to homologous series that extend to infinite polymer strips that have been the object of numerous molecular modeling studies. The goal of these studies is to understand their potential electronic properties for material science applications. Along the way, some prior numerical results are supplemented.