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X-ray diffraction study of crystallite size-distribution and strain in carbon blacks

Published online by Cambridge University Press:  21 March 2011

T. Ungár
Affiliation:
Department of General Physics, Eötvös University Budapest, H-1518, P.O.B. 32 Budapest, Hungary
J. Gubicza
Affiliation:
Department of General Physics, Eötvös University Budapest, H-1518, P.O.B. 32 Budapest, Hungary
G. Ribárik
Affiliation:
Department of General Physics, Eötvös University Budapest, H-1518, P.O.B. 32 Budapest, Hungary
T. W. Zerda
Affiliation:
Department of Physics, Texas Christian University, Fort Worth, TX, U.S.A.
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Abstract

The crystallite size and size-distribution in carbon blacks in the presence of strain are determined by recently developed procedure of X-ray diffraction peak profile analysis. The Fourier coefficients of the measured physical profiles are fitted by Fourier coefficients of well established ab initio functions of size and strain peak profiles. Strain anisotropy is accounted for by expressing the mean square strain in terms of average dislocation contrast factors. Crystallite shape anisotropy is modelled by ellipsoids incorporated into the size profile function. To make the fitting procedure faster, the Fourier transform of the size profile is given as an analitical function. The method is applied to carbon blacks treated at different preassures and temperatures. The microstructure is characterised in terms of crystallite size distribution, dislocation density, and crystallite shape anisotropy.

Type
Research Article
Copyright
Copyright © Materials Research Society 2001

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