Skip to main content Accessibility help
×
Home

The Phase of Scattering Profiles & X-Ray/Neutron Reflectivity

  • P.S. Pershan (a1)

Abstract

The phase problem that troubles x-ray diffraction is also a problem for x-ray and neutron reflectivity; however, there are a range of small angles just beyond the critical angle for which the reflectivity contains information on the phase of the surface scattering amplitude. In principle this phase information can be used to determine the asymmetry of the normal gradient of the scattering amplitude density. We discuss here practical conditions under which this symmetry can, or cannot, be extracted from reflectivity data.

Copyright

References

Hide All
1 Als-Nielsen, J., “X-ray reflectivity studies of liquid surfaces” in Handbook on Synchrotron Radiation, Vol. 3, edited by Brown, G. and Moncton, D. E., (Elsevier Science Publishers, 1991) p. 473.
2 Pershan, P.S., Faraday Discuss. Chem. Soc. 89, 231 (1990).
3 Pershan, P.S., Physica A 172, 17 (1991).
4 Schlossman, M.L. and Pershan, P.S. Pershan, P.S., “X-ray and Neutron Scattering from Liquid Surfaces” in Light Scattering By Liquid Surfaces and Complementary Techniques, edited by Langevin, D., (Marcel Dekker, New York, 1990) p. 365.
5 Als-Nielsen, J., “Diffraction refraction and absorption of x-rays and neutrons: A comparative exposition” in Neutron and synchrotron radiation for condensed matter studies, Vol. 1, edited by Baruchen, J., Hodeau, J.-L., Lehmann, M., Rengnard, J.-R. and Schlenker, C., (Springer, New York, 1993)
6 Russell, T.P., Mat. Sci. Repts. 5,171 (1990).
7 Cowley, R.A., “X-ray scattering from surfaces and interfaces” in Equilibrium structure and properties of surfaces and interfaces, edited by Gonis, A. and Stocks, G. M., (Plenum, New York, 1992) p. 1.
8 Chen, S.H., Zhou, X.L. and Carvalho, B.O., Prog, in Col. & Poly. Sci. 93, 85 (1993).
9 Hamley, I.W. and Pedersen, J.S., J. Appl. Cryst. 27,29 (1994).
10 Pedersen, J.S. and Hamley, I.W., J. Appl. Cryst. 27, 36 (1994).
11 Singh, N., Tirrell, M. and Bates, F.S., “Applications of Fourier synthesis methods to the analysis of specular reflectivity”, J. Appl. Cryst., 1994.
12 Zhou, X.-L. and Chen, S.-H., Phys. Rev. E 47, 3174 (1993).
13 Pershan, P.S., Phys. Rev. E 50, 2369 (1994).
14 Pershan, P.S. and Als-Nielsen, J., Phys. Rev. Lett. 52 ,759 (1984).
15 Pershan, P.S., Braslau, A., Weiss, A.H. and Als-Nielsen, J., Phys. Rev. A 35, 4800 (1987).
16 Kunz, K., Reiter, J., Götzelmann, A. and Stamm, M., Macromolecules 26,4316 (1993).
17 Berk, N.P. and Majkrzak, C.F., in proceedings of Materials Research Society, Boston, MA, 1994, pp. 762.,
18 Worcester, D.L., Physica B 183,139 (1991).
19 Sivia, D.S., Hamilton, W.A. and Smith, G.S., Physica B 173, 121 (1991).
20 Sivia, D.S., Hamilton, W.A., Smith, G.S., Rieker, T.P. and Pynn, R., J. Appl. Phys. 70, 732 (1991).
21 Vaknin, D., Kjaer, K., Ringsdorf, H., Blankenburg, R., Piepenstock, M., Diederich, A. and Lösche, M., Langmuir 9,1171 (1993).
22 Vaknin, D., Kjaer, K., Als-Nielsen, J. and Lösche, M., Biophys. J. 59, 1325 (1991).
23 Crowley, T.L., Lee, E.M., Simister, E.A. and Thomas, R.K., Physica B 173, 143 (1990) Workshop on Methods of Analysis and Interpretation of Neutron Reflectivity Data, Argonne II. (USA)
24 Sanyal, M.K., Sinha, S.K., Gibaud, A. and Huang, K.G., “Fourier reconstruction of density profiles of thin films using anomalous X-ray reflecitivty”, 1992.
25 Zhang, H., Gallagher, P.D., Satija, S.A., Lindstrom, R.M., Paul, R.L., Russell, T.P., Lambooy, P. and Kramer, E.J., Phys. Rev. Lett. 72,3044 (1994).
26 Satija, S.A., Zhang, H., Gallagher, P.D., Lindstrom, R.M., Paul, R.L., Russell, T.P., Lambooy, P. and Kramer, E.J., “Resonance enhanced neutron standing waves in thin films”, Proceedings of the Materials Society, 1994.
27 Ludwig, K.F. Jr., Warburton, W.K. and Fontaine, A., J.Chem. Phys. 87, 620 (1987).
28 Perahia, D., Weisler, D., Satija, S.K., Fetters, L.J. and Sinha, S.K., Phys. Rev. Lett. 72, 100 (1993).
29 Lurio, L.B., Rabedeau, T.A., Pershan, P.S., Silvera, I.F., Deutsch, M., Kosowsky, S.D. and Ocko, B.M., Phys. Rev. Lett. 68, 2628 (1992).
30 Lurio, L.B., Rabedeau, T.A., Pershan, P.S., Silvera, I.F., Deutsch, M., Kosowsky, S.D. and Ocko, B.M., Phys. Rev. B 48, 9644 (1993).

The Phase of Scattering Profiles & X-Ray/Neutron Reflectivity

  • P.S. Pershan (a1)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed