Scattering Debye

Equation (10.82) is a correct but unwieldy form of the Debye scattering theory. The result benefits considerably from some additional manipulation which converts it into a useful form. Toward this end we assume that the quantity srj, is not too large, in which case sin (srj, ) can be expanded as a power series. Retaining only the first two terms of the series, we obtain... 

Since the product srj, appears in Eq. (10.84), there is a trade-off possibility between particle size and the angle of observation. That is, the Debye scattering theory applies with the same level of accuracy to larger molecules at smaller angles and to smaller molecules at larger angles. 

Smoluchowski, Rayleigh, Cans and Debye. Scattering by independent particles is... 

Debye scattering deals with the situation wherein the relative size parameter is large. Since the root mean square radius of gyration of the particle, (s2)1/2, is a... 

Debye scattering (where the particles are relatively large, but the difference between their refractive index and that of the dispersion medium is small). 

Contributions to the line broadening from the sample is dealt with in detail in Chapter 13. One equation can be applied to powder diffraction data of any kind (with or without three-dimensional ordering liquids, amorphous or crystalline solids, and any intermediate stage) the Debye scattering equation ... 

The Zimm-plot technique, like q.l.s., also involves a difficult extrapolation to zero angle. Another difficulty is that its qiplication assumes that the particles are Rayleigh-Cans-Debye scatterers (namely, that there is no change of phase or other distortions of the incident radiation by the particle). For the larger mucins in particular, this may not be the case. 

Debye scattering, while that by still larger particles dm > 0)... 

Monte Carlo Calculations of the Debye Scattering Function and Diffusion Coefficient of Amylosic Chains... 

Elastically scattered radiation reaching a detector from different scattering centers in a macromolecule will be subject to interference effects, provided the dimensions of the macromolecule are comparable to or larger than the wavelength of the radiation (22). The Debye scattering function P(u) describes the variation, arisir from intramolecular interference effects, of the scattered... 

The Debye Scattering Function. The scattering function calculated for the chain models listed in Table I is reported in... 

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