Hyperbolic Modeling of Starburst Dendrimers |
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| Authors: | Xavier Isaac M de Pádua Antônio Moraes Fernando De Miranda-Neto J A |
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| Institution: | (1) Departamento de Estatística Universidade Federal de Pernambuco, 50670-901 Recife, PE, Brazil;(2) Departamento de Física, Universidade Federal de Pernambuco, 50670-901 Recife, PE, Brazil;(3) Present address: Department of Physics, Carnegie Mellon University, Pittsburgh, PA, 15213, U.S.A |
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| Abstract: | Starburst dendrimers are highly branched oligomers. A rigid dendritic hydrocarbon, C1134H1146, has recently been synthesized. It consists of 94 phenylacetylene units displayed in a self-similar two-dimensional skeleton
isomorphous to the three-coordinated Bethe lattice. The three-dimensional representation of phenylacetylene dendrimer shows
a globular architecture with large voids and niches in its interior, characteristic of hyperbolic surfaces. This work investigates
the geometrical scaling behavior of this starburst dendrimer using the symmetry properties of a Bethe lattice embedded in
the hyperbolic plane. The results for C1134H1146 provide its density profile and an upper bound for its macromolecular size.
This revised version was published online in June 2006 with corrections to the Cover Date. |
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| Keywords: | Dendrimers macromolecular geometry |
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