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A linear distortion in real space along a cristallographic axis of a cubic structure produces a reciprocal linear distortion of the diffraction pattern along the corresponding reciprocal space direction. The stretching required to match the predicted and experimental diffraction patterns varied from 15 to 20% depending on the exact synthesis conditions, For the pattern in Figure 1b, the stretching required was 20%.
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13/silica system (at ∼60 vol % surfactant) occurs at a somewhat lower volume fraction than in the binary Brij-56/water system (∼70 vol % surfactant). This suggests that the simple approach followed here may underestimate slightly the surfactant volume fraction in the as-synthesized dip-coated film. This is likely due to the influence of the temperature at which the film is processed on the film composition. The hydrophilic content (and hence the mesostructure) of surfactant/silica films has been shown to depend on the relative humidity of the surroundings (see ref 78). As the temperature of the system is raised above room temperature, the films desorb water, thereby increasing the relative surfactant content. This favors formation of the cubic phase at lower initial surfactant content than expected, based on a consideration of the surfactant-water T-x phase diagram.
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78
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