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Fractal Dimension of Alumina Aggregates Grown in Two Dimensions
Author(s) -
LaRosa Judith L.,
Cawley James D.
Publication year - 1992
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/j.1151-2916.1992.tb07228.x
Subject(s) - fractal dimension , agglomerate , fractal , economies of agglomeration , cluster (spacecraft) , suspension (topology) , materials science , dimension (graph theory) , diffusion limited aggregation , mineralogy , drop (telecommunication) , diffusion , fractal dimension on networks , geometry , fractal analysis , nanotechnology , chemistry , composite material , mathematics , chemical engineering , physics , thermodynamics , mathematical analysis , computer science , combinatorics , telecommunications , homotopy , pure mathematics , programming language , engineering
The concepts of fractal geometry are applied to the analysis of 0.4‐μm alumina constrained to agglomerate in two dimensions. Particles were trapped at the bottom surface of a drop of a dilute suspension, and the agglomeration process was directly observed, using an inverted optical microscope. Photographs were digitized and analyzed, using three distinct approaches. The results indicate that the agglomerates are fractal, having a dimension of approximately 1.5, which agrees well with the predictions of the diffusion‐limited cluster–cluster aggregation model.