Intrachain scattering

The isolated intrachain scattering is used to determine the persistent local conformation by comparison between the scattering from single chains and the experimental data. The experimental data needs to be corrected for absorption, polarisation, multiple and incoherent scattering and in addition the intensities normalised to electron units, before quantitative intensity comparisons are possible. The s-weighted reduced intensity function si(s) is a better choice for such comparisons where ... 

In principle, intrachain contraction should occur before interchain association as long as the solution is sufficiently dilute. The limitation is the sensitivity of our detection in laser fight scattering. Note that in Fig. 27,... 

Fig. 2.7. Intrachain diffusion coefficient of solitons in the t-PA versus temperature. The closed circles are the data from Ref. [24] and the open circles from Ref. [26], The dashed curve shows the results of theoretical calculations including only the phonon scattering and the solid curve shows the calculated value including 0.01 eV barriers [23].

The intrachain contact term, T[ J, is usually the most important and is related to the one-dimensional regime (i.e., conduction along a stack). The electrons traveling along the chain experience two kinds of scattering, q 0 and q = 2kF. 

The transverse charge motion is incoherent for a quasi-one-dimensional conductor as long as the condition h hiT is fulfilled (where the intrachain scattering time provides a broadening to the quasi-one-dimensional Fermi surface). This situation is encountered at high temperature. The interchain hopping rate is thus determined by the one-dimensional Fermi golden rule [60] ... 

The nearest-neighbor interchain interactions we shall consider are shown in Fig. (4). The interactions a°d are interchain forward scattering interactions, and these do not give rise to a phase transition of any type, but serve only to renormalize the effective intrachain interactions. In Fig. (5), we have shown the regions in 9 /92 space for g2=g, v2=v, aRd lv2l =... 

Thus, an electron on the inverted band TTF chain corresponds to a hole with a normal band structure, and vice-versa. The interactions are shown in Fig. (1). The intrachain interactions g and gare backward and forward scattering Interactions, as in the single chain problem, and are assumed to be the same on both chains. The interchain interactions are w and These interactions... 

Usually, Hi k) and H2(k) are called the intrachain interference factor and the interchain interference factor, respectively. At infinite dilution, the former reduces to the particle scattering factor P(k) that appeared in Part I. Further we note the following ... 

The scattering patterns of monodomain liquid crystalline polymers represent those from oriented liquid crystalline polymers. Such orientation can be achieved either in the solid state by quenching the oriented polymers or in the melt state by shearing the melt at the mesophase temperatures. Under a force field, such as a tensile force, shear force, or magnetic field, all the domains are aligned in the direction of the external field so that the polydomain liquid crystalline polymers can effectively become monodomain liquid crystalline polymers. For oriented main-chain liquid crystalline polymers, the scattering on the equator is due to interchain correlation and the scatterings on meridian raised from intrachain correlation. 

The procedures which employ the intrachain scattering to evaluate the molecular orientation parameters have been applied successfully to main-chain and side-chain liquid crystal polymers and to non-crystalline polymers in general. - They have recently been reviewed by Windle. We shall explore their use through the example of a semi-rigid thermotropic co-polyester The X-ray... 

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