Premium
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.