Angular profiles

Thermal properties of overlayer atoms. Measurement of the intensity of any diffracted beam with temperature and its angular profile can be interpreted in terms of a surface-atom Debye-Waller factor and phonon scattering. Mean-square vibrational amplitudes of surfece atoms can be extracted. The measurement must be made away from the parameter space at which phase transitions occur. 

The angular momentum conservation equation couples the viscous and the elastic effects. The angular profiles of the director and the effective viscosity data are computed for one set of material parameters based on published data in literature. The velocity profiles are also attained from the same dataset. The results show that the alignment of molecules has a strong influence on the lubrication properties. 

In all practical circumstances the characteristic angle that controls the angular profile near 6 = 0 (table 1) is quite small, and in reflection geometry the small angle loss must be accompanied by an elastic reflection in order for the electron to be detected in the spectrometer (fig. 1). Elastic backscattering is much more probable than the inelastic process, and furthermore the elastic momentum transfer is taken up by the whole crystal. 

For the ELS measurements the scattered intensity of the solvent is subtracted from that of the solutions then the obtained angular profile is normalized using the scattered intensity of toluene a reference. The normafized scattered intensity can be written as [39]... 

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