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note
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c = 0.14°.
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-12M), the monolayers were very stable (no loss of surface area) over the time course of the X-ray measurements.
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hk, of all diffracting 2D crystallites over which "perfect" crystallinity extends.
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X-ray Diffraction
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Guinier, A.1
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note
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z-resolved scans called Bragg rod profiles.
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Kjaer, K.; Als-Nielsen, J.; Helm, C. A.; Laxhuber, L. A.; Möhwald, H. Phys. Rev. Lett. 1987, 58 (21), 2224. Helm, C. A.; Tippman-Krayer, P.; Möhwald, H.; Als-Nielsen, J.; Kjaer, K. Biophys. J. 1991, 60, 1457. Helm. C. A.; Möhwald, H.; Kjaer, K.; Als-Nielsen, J. Biophys. J. 1987, 52, 381.
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note
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It has been previously demonstrated that the polymer chains do not penetrate the monolayer, but extend away from the headgroup region into the subphase. Hence, only the presence of air in the tail region of the monolayer can account for its apparent decrease in the scattering density. In other words, a simple Gaussian smearing of the interface does not represent the staggered structure of the monolayer properly in our model.
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note
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-1).
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2 was minimized in a Marquardt-Levenburg nonlinear least-squares fitting routine to obtain the best fitting parameters.
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note
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The electron density of bulk PEG is only 6% higher than the water subphase.
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Due to the weak contrast between the polymer and subphase, the 1.3% DSPE-PEG reflectivity data could be reasonably well fit with a simple box of constant e density to describe the polymer layer and thus was not sensitive to the functional form of the polymer profile. However, at 9.0% DSPE-PEG a simple box for the polymer did not fit the data, while a parabolic form did. Specifically, the polymer layer was modeled with a concave parabola with decreasing density from the monolayer interface.
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