Skip to main content
SpringerLink
Log in
Book cover

Trends in Colloid and Interface Science VII pp 85–91Cite as

Inverse problems in neutron and x-ray reflectivity studies

  • Conference paper
  • First Online:

Part of the book series: Progress in Colloid & Polymer Science ((PROGCOLLOID,volume 93))

Abstract

We present a new method for obtaining the scattering length density (sld) profile perpendicular to a uniform, smooth surface which is consistent with the measured reflectivity over a finite Q range. The method is applicable to a free liquid surface as well as a thin film deposited on a known substrate. As an illustration, we apply the method to obtain: degree of ordering of an intact Langmuir-Blodgett film on a silicon substrate; surface-induced layering of water and oil in bicontinuous microemulsions; and segregation of polymers near air-film and the film-substrate interfaces.

This is a preview of subscription content, log in via an institution.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Russell TP (1990) Materials Science Reports 5 57:119

    Google Scholar 

  2. Felcher GP, Russell TP (1991) Eds., Proceedings of the Workshop on "Methods of Analysis and Interpretation of Neutron Reflectivity Data', Physica B 173 No. 1 & 2

    Google Scholar 

  3. Gelfand SB (1987) Analysis of Simulated Annealing Type Algorithms, Ph.D. Thesis, Electrical Engineering, MIT

    Google Scholar 

  4. Fougere P (1990) Maximum Entropy and Bayesian Methods, Klumer, Amsterdam

    Google Scholar 

  5. Skilling J (1988) Maximum Entropy and Bayesian Methods, Cambridge

    Google Scholar 

  6. Zhou XL, Chen SH (1993) Phys Rev 47E:3174–3190

    Google Scholar 

  7. Zhou XL, Lee LT, Chen SH, Strey R (1992) Phys Rev 46A:6479–6489

    Google Scholar 

  8. Zhou XL, Chen SH, Felcher GP (1991) Inverse Problems in Neutron Reflection, in: Bertero M, Pike ER (eds) Inverse Problems in Scattering and Imaging, Hilger Bristol 109

    Google Scholar 

  9. Parratt G (1954) Phys Rev 95:359

    Article  Google Scholar 

  10. Zhou XL, Chen SH, Felcher GP (1991) J Phys Chem 95:9025–9029; Zhou XL, Chen SH, Felcher GP (1992) Phys Rev A 46:1839–1843

    Article  CAS  Google Scholar 

  11. Als-Nielsen J (1985) Z Phys B Condensed Matter 61:411–414

    Article  CAS  Google Scholar 

  12. Carvalho BL, Chen SH (1993) A Low-Wavevector Expansion for Reflectivity, Phys Rev E47:743–745

    Google Scholar 

  13. Carvalho BL, Sanyal MK, Sinha SK, Felcher GP, Chen SH "Model Independent Analysis of X-ray Reflectivity Data", in preparation

    Google Scholar 

  14. Chen SH, Chang SL, Strey R (1991) J Appl Cryst 24:721–731

    Article  CAS  Google Scholar 

  15. Chen SH, Chang SL, Strey R, Thiyagarajan P (1991) J Phys Condensed Matter 3:F91–F107

    Article  Google Scholar 

  16. We are grateful to Lay-Theng Lee and R. Strey for permission to show this unpublished result.

    Google Scholar 

  17. Koberstein JT, unpublished

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, USA

    B. L. Carvalho

  2. Dept. of Nuclear Engineering, Massachusetts Institute of Technology, 24-211 Mas Ave 77, 02139-4307, Cambridge, MA, USA

    S. H. Chen & X. L. Zhou

Authors
  1. S. H. Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. X. L. Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. B. L. Carvalho
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

P. Laggner O. Glatter

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Dr. Dietrich Steinkopff Verlag GmbH & Co. KG

About this paper

Cite this paper

Chen, S.H., Zhou, X.L., Carvalho, B.L. (1993). Inverse problems in neutron and x-ray reflectivity studies. In: Laggner, P., Glatter, O. (eds) Trends in Colloid and Interface Science VII. Progress in Colloid & Polymer Science, vol 93. Steinkopff. https://doi.org/10.1007/BFb0118480

Download citation

  • DOI: https://doi.org/10.1007/BFb0118480

  • Published:

  • Publisher Name: Steinkopff

  • Print ISBN: 978-3-7985-0955-9

  • Online ISBN: 978-3-7985-1676-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation