By Hurst, J.S.; Read, A.M.; Union Carbide Corp., Oak Ridge, Tenn. Y-12 Plant; United States. Dept. of Energy.; Oak Ridge Y-12 Plant.; United States. Dept. of Energy. Office of Scientific and Technical Information
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L. Névot, P. Croce, Characterization of surfaces by grazing X-ray reflection––application to the study of polishing of some silicate glasses. Rev. Phys. Appl. 15, 761 (1980) 49. G. Parratt, Surface studies of solids by total reflection of X-rays. Phys. Rev. 95, 359 (1954) 50. F. Abelès, Recherches théoriques sur les propriétés optiques des lames minces. J. Phys. Rad. 11, 307 (1950) 51. V. Nitz, M. -P. H. Seeck, J. Stettner, W. Press, M. Stelzle, E. Sackmann, Correlations in the interface structure of Langmuir–Blodgett films observed by Xray scattering.
This is illustrated in Fig. 8. Solid-supported lipid monolayers can be created by spreading small unilamellar lipid vesicles (SUVs) onto hydrophobic solid substrates under bulk buffer. The formation of the monolayer is driven by the hydrophobic effect. The resulting in-plane density of lipid molecules is very similar to that found in lipid bilayer membranes. Alternative methods for the deposition of lipid monolayers onto hydrophobic substrates are the Langmuir– Blodgett or Langmuir–Schaefer transfer [29], which enable the control of the in-plane density of the lipids.
C ðr Þ :¼ u ! r0 À ! r Áu ! r0 ! r 0 À Á À Á Cnm ðx; yÞ ! Cnm ðr Þ :¼ un ! r Á um ! r0 À ! r0 ! r 0 with r ¼ j! rj An example of such a radial symmetric height–height correlation function is shown in Fig. 2. 3 Membrane Displacement Correlation Functions In analogy, a statistical, time-averaged description of the fluctuations of interacting membranes is provided by the membrane displacement correlation functions DÂ À Á À ÁÃ 2 E gnm ðr Þ :¼ un ! : r À um ! r0 À ! r0 ! r 0 Lei et al. have derived an expression [54] which is valid in the special case of oriented multilayers that are infinitely expanded in all directions.