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On the geometry and conformation of starburst dendrimers

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Abstract

In this work, we propose a geometrical model for the study of conformational properties of a starburst dendrimer with the topology of a truncated Bethe lattice. A convenient embedding of the Bethe lattice in the hyperbolic plane is used to study the architecture of the dendrimer. As results, we find an upper bound for the molecular size and the density profile.

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Authors and Affiliations

  1. Departamento de Física, Universidade Federal de Pernambuco, 50670‐901, Recife, PE, Brazil

    Antonio de Pádua, J.A. de Miranda‐Neto & Fernando Moraes

  2. Departamento de Estatística, Universidade Federal de Pernambuco, 50670‐901, Recife, PE, Brazil

    Isaac M. Xavier Jr.

Authors
  1. Antonio de Pádua
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  2. J.A. de Miranda‐Neto
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  3. Isaac M. Xavier Jr.
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  4. Fernando Moraes
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de Pádua, A., de Miranda‐Neto, J., Xavier, I.M. et al. On the geometry and conformation of starburst dendrimers. Journal of Mathematical Chemistry 22, 97–106 (1997). https://doi.org/10.1023/A:1019111511632

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