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Measurement of Illite Particle Thickness using a Direct Fourier Transform of Small-Angle X-ray Scattering Data

Published online by Cambridge University Press:  01 January 2024

Chao Shang ,
James A. Rice ,
Dennis D. Eberl  and
Jar-Shyong Lin
Chao Shang*
Affiliation:
Department of Chemistry and Biochemistry, South Dakota State University, Brookings, SD 57007, USA
James A. Rice*
Affiliation:
Department of Chemistry and Biochemistry, South Dakota State University, Brookings, SD 57007, USA
Dennis D. Eberl
Affiliation:
US Geological Survey, Suite E-123, 215 Marine Street, Boulder, CO 80303, USA
Jar-Shyong Lin
Affiliation:
Solid State Division, Ridge National Laboratory, Oak Ridge, TN 37831, USA
*
†Current address: Department of Crop and Soil Environmental Sciences, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA
*E-mail address of corresponding author: james_rice@sdstate.edu
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Abstract

It has been suggested that interstratified illite-smectite (I-S) minerals are composed of aggregates of fundamental particles. Many attempts have been made to measure the thickness of such fundamental particles, but each of the methods used suffers from its own limitations and uncertainties. Small-angle X-ray scattering (SAXS) can be used to measure the thickness of particles that scatter X-rays coherently. We used SAXS to study suspensions of Na-rectorite and other illites with varying proportions of smectite. The scattering intensity (I) was recorded as a function of the scattering vector, q = (4 π/λ) sin(θ/2), where λ is the X-ray wavelength and θ is the scattering angle. The experimental data were treated with a direct Fourier transform to obtain the pair distance distribution function (PDDF) that was then used to determine the thickness of illite particles. The Guinier and Porod extrapolations were used to obtain the scattering intensity beyond the experimental q, and the effects of such extrapolations on the PDDF were examined. The thickness of independent rectorite particles (used as a reference mineral) is 18.3 Å. The SAXS results are compared with those obtained by X-ray diffraction peak broadening methods. It was found that the power-law exponent (α) obtained by fitting the data in the region of q = 0.1–0.6 nm−1 to the power law (I = I0q−α) is a linear function of illite particle thickness. Therefore, illite particle thickness could be predicted by the linear relationship as long as the thickness is within the limit where α <4.0.

Keywords

Direct Fourier TransformIlliteFundamental ParticleParticle ThicknessSAXS
Type
Research Article
Information
Clays and Clay Minerals , Volume 51 , Issue 3 , June 2003 , pp. 293 - 300
Copyright
Copyright © 2003, The Clay Minerals Society

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