Fractal dimensions of polymeric phthalocynines | Zendy

Knothe Gerhard | Zendy

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Fractal dimensions of polymeric phthalocynines

Author(s) -

Knothe Gerhard

Publication year - 1992

Publication title -

macromolecular theory and simulations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.37

H-Index - 56

eISSN - 1521-3919

pISSN - 1022-1344

DOI - 10.1002/mats.1992.040010307

Subject(s) - fractal , limiting , dilation (metric space) , polymer , fractal dimension , materials science , polymer science , statistical physics , mathematics , geometry , physics , composite material , mathematical analysis , engineering , mechanical engineering

As a result of their structure, polymeric phthalocyanines have four fractal dimensions for every size/shape/dilation combination. The construction of polymeric phthalocyanines resembles known fractals. A structure model of the polymer is extended. For infinitely large polymeric phthalocyanines, the same limiting value for the fractal dimensions ( D = 2) was found to be valid for all structures.

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