Scattering angular-dependent

Solutions When the dimension of a particle in solution is much less than A., scattering observed at 0 = 0 is related to the concentration and size of the particle. When the dimension of the scatter is greater than A, angular dependent scattering can be measured to provide information about the size and shape of the particle. 

Interpolymer Interactions Angular Dependent Scattering In the case where the polymer size is not constrained to be much smaller than X and dn/dc of one or more comonomers is close to 0, the angular dependence of the Zimm plot KclR vs. (f) becomes distorted and the obtained is now an apparent value with a complicated relationship to the copolymeric contributions to both polymer radius of gyration and refractivity [44,45]. 

For molecules having dimensions comparable with the wavelength, phase differences will occur between waves scattered from different regions of the molecule. These phase differences result in an angular dependence of the scattered intensity. The reduction may be expressed in temis of a particle interference factor P(2Q) such that... 

Dharmasena G, Copeland K, Young J H, Lasell R A, Phillips T R, Parker G A and Keil M 1997 Angular dependence for v /-resolved states in F + H2 -> HF(v /) + H reactive scattering using a new atomic beam source J. Rhys. Chem. A101 6429—40... 

Describe the angular dependence of the vertically and horizontally polarized light scattered by a molecule and their resultant by considering the intensity as a vector anchored at the origin whose length in various directions is given by the trigonometric terms in Eqs. (10.25), (10.26), and (10.30),... 

Thus Rg is a constant in any particular experiment where Rayleigh scattering is obtained, since the entire angular dependence of the light intensity is correctly contained in the 1 + cos 6 term. 

E. L. Church, H. A. Jenkinson, and J. M. Zavada. Relation Berween the Angular Dependence of Scattering and Microtopographic Features. 

One of the most fascinating applications of channeling RBS is the study of lattice locations of impurity atoms. By measuring the angular dependence of the back-scattering yield of the impurity and host atoms around three independent channeling axes it is possible to calculate the position of the impurity. Details can be found elsewhere [3.122]. 

The correlator (6) is of the utmost importance because its generating function enters into an expression which describes the angular dependence of intensity of scattering of light or neutrons [3]. It is natural to extend expression (6) for the two-point chemical correlation function by introducing the w-point correlator ya1... (kl...,kn l) which equals the joint probability of finding in a macromolecule n monomeric units Maj.Ma> divided by (n-1) arbitrary sequences... 

For Markovian block copolymers the formula is valid analogous to formula (Eq. 58), however factor (Q + e)-1 stands instead of the sum over index v. Thus, in the region of angles 6, at which the inequality Q <3C s holds, the angular dependence of the amplitude of scattering 1(6) of a melt of proteinlike heteropolymers turns out to be identical to that of Markovian heteropolymers with e = i. Essentially, this coincidence disappears for the values of angle 6 at which inequality Q fii is not valid. 

Another technique widely used to measure the cholesteric pitch is based on the Bragg scattering of monochromatic light (obtained by a helium-neon laser) from fingerprint or planar textures of the cholesteric32 Its angular dependence is strictly related to the cholesteric pitch. 

Properties which depend on the size of the chain, for example, viscosity and angular dependence of light scattering, get strongly affected by chain expansion. The viscosity may even increase markedly as polymer concentration decreases, the increase in viscosity results in an increase in the degree of... 

Fig. 6. Lower part angular dependence of the non-normalized static scattering intensity I(q) observerd with latex particles (R=265 nm). Upper part dependence of r/q =D on the scattering angle in dynamic LS. The sharp downturn at large scattering angles results from a weak back reflection of light on the boundary of the aqueous solution to the index matching bath, that consisted of toluene. This reflection results from the difference in the refractive indices of water (n = 1.333) and toluene (n =1.51). Reprinted with permission from [182]. Copyright [1982] American Society...

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