4 research outputs found
Computing Fifth Geometric-Arithmetic Index for Circumcoronene series of benzenoid Hk
Let G=(V; E) be a simple connected graph. The sets of vertices and edges of G are denoted by V=V(G) and E=E (G), respectively. The geometric-arithmetic index is a topological index was introduced by Vukicevic and Furtula in 2009 and defined as  in which degree of vertex u denoted by dG(u) (or du for short). In 2011, A. Graovac et al defined a new version of GA index as  where  The goal of this paper is to compute the fifth geometric-arithmetic index for "Circumcoronene series of benzenoid Hk (k≥1)"
Symmetric Functionalization of Polyhedral Phenylsilsesquioxanes as a Route to Nano-Building Blocks.
The design and synthesis of nanometer scale structures is of intense current interest.
Herein we report on the ability to use symmetric, robust, mutable silsesquioxane
([RSiO3/2]n) nano-building blocks to produce well-defined 3-D structures for electronic or
adsorption applications. We are able to show the systematic effects of supermolecular
coordination to modulate the density of the molecular packing.
This dissertation describes the synthesis of the elusive
decaphenylsilsesquioxane, and exploration of the substitutionally specific para
iodination of the octa-, deca- and dodeca-(p-iodophenyl)-silsesquioxanes, whose single crystal
X-ray diffraction structures are reported. Octa(p-iodophenyl)-silsesquioxane
shows supermolecular coordination via Desiraju’s halogen-halogen short-contact
synthon, forming an open structure with a solvent accessible cavity comprising 40% of
the unit cell.
The application of palladium, nickel and copper catalyzed cross-coupling
techniques using the carbon-iodine bond is explored in order to divergently synthesize
crystalline derivatives. These derivatives include the octa(diphenylacetylene)silsesquioxane and the octa(hexaphenylbenzene)silsesquioxane (56 Aryl), whose single crystal
X-ray diffraction structures are reported. We show that 56 Aryl, which contains
more carbon atoms than any other discrete molecule in the Cambridge Structural
Database, crystallizes into an extremely open structure with a solvent accessible cavity
comprising 55% of the volume. The supermolecular ordering driven by the bulky
hexaphenylbenzene moieties gives nanometer-scale channels along the ab plane.
Substitutional specificity is explored in the bromination of
octaphenylsilsesquioxane (OPS), and single-crystal X-ray diffraction structures are
reported for the octa-, hexadeca- and tetraicosa-brominated derivatives. Precise
synthetic control is demonstrated by the unique catalyst-free bromination of OPS,
providing the octa(o-bromophenyl)-silsesquioxane in low yield. An iron tribromide
catalyzed hexadeca-bromination gives the crystalline octa(2,5-dibromophenyl)-
silsesquioxane in good yield, with a high density of 2.3 g/cc. Finally, the iron tribromidecatalyzed
tetraicosa-bromination of OPS is described, producing a low yield of crystals
with a solid solution of substitution patterns coordinated by bromine-bromine short
contacts.
Lastly, Scholl-type dehydrogenative cyclization of the
octa(hexaarylbenzene)silsesquioxane systems is explored by the addition of iron
trichloride/nitromethane to a refluxing solution of the silsesquioxane in stannic
chloride/dichloromethane. The products are analyzed by Proton Nuclear Magnetic
Resonance Spectroscopy, Matrix Assisted Laser Desorption and Ionization – Time of
Flight Mass Spectroscopy and Diffuse Reflectance Fourier Transform Infra Red
Spectroscopy.Ph.D.Macromolecular Science & EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/75811/1/mroll_1.pd