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Thickness and Surface Characteristics of Colloidal 2:1 Aluminosilicates Using an Indirect Fourier Transform of Small-Angle X-Ray Scattering Data

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Clays and Clay Minerals

Abstract

An indirect Fourier transformation applied to small-angle X-ray scattering data has been used to determine the thickness and surface properties of two common clay minerals. For an illite system, the particle density distribution function (PDDF) generated by the analysis gave a correct description of particle geometry, and the calculated electron density profile was in accordance with the theoretical electron density distribution for this mineral. This approach provides the opportunity to determine the thickness of fundamental particles of illite while avoiding the difficulties encountered in other methods. Both the PDDF and the electron density profile accurately predict the thickness of Na-montmorillonite layers, and the results suggest that an electron inhomogeneity exists at the interface of this mineral.

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References

  • Beckett, R., Murphy, D., Tadjiki, S., Chittleborough, D.J. and Giddings, J.C. (1997) Determination of thickness, aspect ratio and size distributions for platy particles using sedimentation field-flow fractionation and electron microscopy. Colloids and Surfaces, 120, 17–26.

    Article  Google Scholar 

  • Drits, V.A., Środoń, J. and Eberl, D.D. (1997) XRD measurement of mean thickness of illite/smectite; reappraisal of the Kübier index and the Scherrer equation. Clays and Clay Minerals, 45, 461–475.

    Article  Google Scholar 

  • Drits, V.A., Eberl, D.D. and Środoń, J. (1998) XRD measurement of mean thickness, thickness distribution and strain for illite and illite-smectite crystallites by the Bertaut-Warren-Averbach technique. Clays and Clay Minerals, 46, 38–50.

    Article  Google Scholar 

  • Glatter, O. (1977) Data evaluation in small angle scattering: calculation of the radial electron density distribution by means of indirect Fourier transformation. Acta Physica Austriaca, 47, 83–102.

    Google Scholar 

  • Glatter, O. (1980) Determination of particle-size distribution functions from small-angle scattering data by means of the indirect transformation method. Journal of Applied Crystallography, 13, 7–11.

    Article  Google Scholar 

  • Glatter, O. (1982) Data treatment and Interpretation. Pp. 119–196 in: Small-Angle X-Ray Scattering (O. Glatter and O. Kratky, editors). Academic Press, New York.

    Google Scholar 

  • Glatter, O. (1991) Scattering studies on colloids of biological interest (amphiphilic systems). Progress in Colloid and Polymer Science, 84, 46–54.

    Article  Google Scholar 

  • Glatter, O. (1995) Modern methods of data analysis in small-angle scattering and light scattering. Pp. 107–180 in: Modern Aspects of Small-Angle Scattering (H. Brumberger, editor). Proceedings of the NATO Advanced Study Institutes, Como, Italy, May 1993. Kluwer Academic Publishers, Dordrecht, The Netherlands.

    Chapter  Google Scholar 

  • Glatter, O., Strey, R., Schubert, K.V. and Kaler, E.W. (1996) Small angle scattering applied to microemulsions. Berichte. Bunsengesellschaft fuer Physkalische Chemie, 100, 323–335.

    Article  Google Scholar 

  • Guinier, A. and Fournet, G. (1955) Small Angle Scattering of X-rays. J. Wiley & Sons, New York, 268 pp.

    Google Scholar 

  • Hight, R.J. Jr., Higdon, W.T. and Schmidt, P.W. (1960) Small angle X-ray scattering study of sodium montmonrillonite clay suspensions. Journal of Chemical Physics, 33, 1656–1661.

    Article  Google Scholar 

  • Hight, R.J. Jr., Higdon, W.T, Darley, H.C. and Schmidt, P.W. (1962) Small angle x-ray scattering from montmorillonite clay suspensions. II. Journal of Chemical Physics, 37, 502–510.

    Article  Google Scholar 

  • Hower, J. and Mowatt, T.C. (1966) The mineralogy of illites and mixed-layer illite/montmorillonites. American Mineralogist, 51, 825–855.

    Google Scholar 

  • Iampietro, D.J., Brasher, L.L., Kaler, E.W, Stradner, A. and Glatter, O. (1998) Direct analysis of SANS and SAXS measurements of cationic surfactant mixtures by Fourier transformation. Journal of Physical Chemistry B, 102, 3105–3113.

    Article  Google Scholar 

  • Martin, R.T. (1962) Adsorbed water on clay: a review. Clays and Clay Minerals, 9, 28–70.

    Article  Google Scholar 

  • Morvan, M., Espinat, D., Lambard, J. and Zemb, Th. (1994) Ultrasmali- and small-angle X-ray scattering of smectite clay suspensions. Colloids and Surfaces A, 82, 193–203.

    Article  Google Scholar 

  • Müller, K. and Glatter, O. (1982) Practical aspects to the use of indirect Fourier transformation methods. Makromolekulare Chemie, 183, 465–479.

    Article  Google Scholar 

  • Nadeau, P.H., Wilson, M.J., McHardy, W.J. and Tait, J.M. (1984) Interstratified clays as fundamental particles. Science, 225, 923–925.

    Article  Google Scholar 

  • Pignon, F., Magnin, A., Piau, J.M., Cabane, B., Lindner, P. and Diat, O. (1997) Yield stress thixotropic clay suspension: Investigations of structure by light, neutron, and X-ray scattering. Physical Review E, 56, 3281–3289.

    Article  Google Scholar 

  • Pilz, I. (1982) Proteins. Pp. 239–293 in: Small-Angle X-ray Scattering (O. Glatter and O. Kratky, editors). Academic Press, New York.

    Google Scholar 

  • Porod, G. (1982) General theory. Pp. 17–51 in: Small-Angle X-ray Scattering (O. Glatter and O. Kratky, editors). Academic Press, New York.

    Google Scholar 

  • Rich, C.I. and Barnhisel, R.I. (1977) Preparation of clay samples for X-ray diffraction analysis. Pp. 797–808 in: Minerals in Soil Environments (J.B. Dixon and S.B. Weed, editors). Soil Science Society of America, Madison, Wisconsin.

    Google Scholar 

  • Saunders, J. M, Goodwin, J. W., Richardson, R. M. and Vincent, B. (1999) A small-angle X-ray scattering study of the structure of aqueous Laponite dispersions. Journal of Physical Chemistry B, 103, 9211–9218.

    Article  Google Scholar 

  • Schmidt, P. W. (1995) Some fundamental concepts and techniques useful in small-angle scattering studies of disordered solids. Pp. 1–56 in: Modern Aspects of Small-Angle Scattering (H. Brumberger, editor). Proceedings of the NATO Advanced Study Institutes, Como, Italy, May 1993, Kluwer Academic Publishers, Dordrecht, The Netherlands.

    Google Scholar 

  • Środoń, J., Andreolli, C., Elsass., F. and Robert, M. (1990) Direct high-resolution transmission electron microscopic measurement of expandability of mixed-layer illite/smectite in bentonite rock. Clays and Clay Minerals, 38, 373–379.

    Article  Google Scholar 

  • Środoń, J., Elsass, F., McHardy, W. J. and Morgan, D. J. (1992) Chemistry of illite-smectite inferred from TEM measurements of fundamental particles. Clay Minerals, 27, 137–158.

    Article  Google Scholar 

  • Strey, R., Glatter, O., Schubert, K. V. and Kaler, E., (1996) Small-angle neutron scattering of D2O-C12E5 mixtures and microemulsions with n-octane: Direct analysis by Fourier transformation. Journal of Chemical Physics, 105, 1175–1188.

    Article  Google Scholar 

  • Taylor, T. R. and Schmidt, P. W. (1969) Interparticle potential energies in Na-montmorillonite clay suspensions. Clays and Clay Minerals, 17, 77–82.

    Article  Google Scholar 

  • van Olphen, H. (1963) An Introduction to Clay Colloid Chemistry. John Wiley & Sons, New York, 301 pp.

    Google Scholar 

  • van Olphen, H. and Fripiat, J. J. (1979) Data Handbook for Clay Materials and Non-metallic Minerals. Pergamon, Oxford, UK, 346 pp.

    Google Scholar 

  • Wignall, G. D., Lin, J. S. and Spooner, S. (1990) The reduction of parasitic scattering in small-angle X-ray scattering by three pinhole collimating system. Journal of Applied Crystallography, 23, 241–246.

    Article  Google Scholar 

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Correspondence to James A. Rice.

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Shang, C., Rice, J.A. & Lin, JS. Thickness and Surface Characteristics of Colloidal 2:1 Aluminosilicates Using an Indirect Fourier Transform of Small-Angle X-Ray Scattering Data. Clays Clay Miner. 49, 277–285 (2001). https://doi.org/10.1346/CCMN.2001.0490401

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  • DOI: https://doi.org/10.1346/CCMN.2001.0490401

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