Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-26T08:42:12.775Z Has data issue: false hasContentIssue false
  • English
  • Français

Closed form Equations for X-Ray Diffraction by Interstratified Clay Systems —I: Randomly Occurring Interlamellar Species

Published online by Cambridge University Press:  01 July 2024

A. C. Wright
A. C. Wright*
Affiliation:
Baroid Division of NL Industries, P.O. Box 1675, Houston, Texas 77001, USA
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A closed form equation is derived for the calculation of the oriented diffraction pattern given by single particle size layer silicates having randomly interstratified interlamellar species. A general method for treating any particle size distribution is indicated and closed form results are presented for the Poisson, normal, gamma and binomial distributions. No restriction is placed on the number of interlayer types. The structure factors for these types are explicitly introduced. Graphs of two of the variables appearing in the equations applicable to particle size distributions provide a means of visualizing the effects of both interstratification and particle size on observed X-ray patterns.

Type
Research Article
Information
Clays and Clay Minerals , Volume 23 , Issue 4 , August 1975 , pp. 278 - 288
Copyright
Copyright © 1975, The Clay Minerals Society

References

Amil, A. R. Garcia, A. R. and MacEwan, D. M. C., (1967) X-ray Diffraction Curves for the Analysis of Interstratified Structures Scotland Instituto de Quimica Inorganica, Volturna Press, Edinburgh.Google Scholar
Hendricks, S. and Teller, E., (1942) X-ray interference in partially ordered layer lattices J. Chem. Phys. 10 147–167.CrossRefGoogle Scholar
Kakinoki, J. and Komura, Y., (1952) Intensity of X-ray diffraction by a one-dimensionally disordered crystal—I. General derivation in cases of the “Reichweite” S = 0 and 1 J. Phys. Soc. Japan 7 30–35.CrossRefGoogle Scholar
MacEwan, D. M. C., (1958) Fourier transform methods for studying X-ray scattering from lamellar systems—II. The calculation of X-ray diffraction effects for various types of interstratification Kolloid Z. 156 1 61–67.CrossRefGoogle Scholar
MacEwan, D. M. C. and Amil, A. R., (1959) Fourier transform methods for studying X-ray scattering from lamellar systems—III. Some calculated diffraction effects of practical importance in clay mineral studies Kolloid Z. 162 2 93–100.CrossRefGoogle Scholar
Mering, J., (1949) L'interférence des rayons-X dans les systèmes a stratification désordonnée Acta Cryst. 2 371–377.CrossRefGoogle Scholar
Mering, J., (1950) Les réflexions des rayons-X par les minéraux argileux interstratifiés Trans. 4th Int. Cong. Soil Sci. 3 21–26.Google Scholar
Reynolds, R. C., (1967) Interstratified clay systems: Calculation of the total one-dimensional diffraction function Am. Miner. 52 661–672.Google Scholar
Rowland, R. A. Weiss, E. J. and Bradley, W. F., (1956) Dehydration of monoionic montmorillonites Proc. 4th Nat. Conf. Clays and Clay Minerals 456 85–95.Google Scholar