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SANS study of sintering of rough surfaces
Author(s) -
Hurd A. J.,
Schaefer D. W.,
Glines A. M.
Publication year - 1988
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889888005734
Subject(s) - fumed silica , fractal dimension , sintering , fractal , materials science , surface (topology) , particle (ecology) , specific surface area , particle size , micrometer , mineralogy , composite material , geometry , optics , chemistry , mathematics , physics , mathematical analysis , geology , biochemistry , oceanography , catalysis
Small‐angle scattering has been used to follow the heat‐induced smoothing of rough fumed silica particles by viscous sintering. When analyzed by a fractal surface model, the surfaces evolved from a fractal dimension of 2.5–2.7 to 2.0. The specific surface area σ ( r ) for a given resolution r could be described by the simple law σ ( r ) = σ 0 ( r / r *) 2−D , where σ 0 is the specific surface area for smooth particles and r * is a characteristic length that is the same for all the fumed silicas studied and is comparable to the primary particle size. This is the first indication of a universal relation between fractal surfaces, albeit within a closely related class of materials.