Rayleigh region

The value of gx(0) for perpendicularly polarized light scattered in the Rayleigh region is given by... 

In the Rayleigh region the intensity of the scattered radiation in a direction making 6 with an incident beam of unit intensity is given by [45] ... 

Rayleigh region. The ratio of the intensity scattered at angle 0 to that of the incident beam, I/Iq, can be described as a sum of vertically and horizontally polarized intensity ratios (AUen, 1968),... 

In the low frequency region, the calculations predict nanotube-specifiic Eig and E g modes around 116 cm and 377 cm respectively, for (10,10) armchair naiiotubes, but their intensities are expected to be lower than that for the A g mode. However, these Eig and E2g modes are important, since they also show a diameter dependence of their mode frequencies. In the very low frequency region below 30 cm a strong low frequency Raman-active E2g mode is expected. However, it is difficult to observe Raman lines in the very low frequency region, where the background Rayleigh scattered is very strong. 

Fig. 2.3. Experimental determination of shock-stress versus volume compression from propagating shock waves is accomplished by a series of experiments carried out at different loading pressures. In the figure, the solid lines connect individual pressure-volume points with the initial condition. These solid straight lines are Rayleigh lines. The dashed line indicates an extrapolation into an uninvestigated low pressure region. Such extrapolation is typical of much of the strong shock data.

Fig. 5.17. The relative change in magnetization for a 3% silicon-iron alloy shows clear indications for a transition at 14 GPa, the end of the mixed phase region, 22.5 GPa, and the overdrive pressure at the Rayleigh line at 37.5 GPa (after Duvall and Graham [77D01]).

The most accurate experiments in this region are probably those of Lord Rayleigh (1901-2), who examined hydrogen, nitrogen, and oxygen at pressures of 0 01 mm. to 1 5 mm. in a very ingenious appar- atus. He found that if any deviation from q Boyle s law existed at these low pressures it was within the limit of experimental error, remarking that experimental errors could not well transform an apparently complex to a simple relationship. ... 

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