Domain long-range ordered

Figure 8.42. ID structural models with inherent loss of long-range order, (a) Paracrystalline lattice after HOSEMANN. The lattice constants (white rods) are decorated by centered placement of crystalline domains (black rods), (b) Lattice model with left-justified decoration, (c) Stacking model with formal equivalence of both phases (no decoration principle)... 

As already stated in the introduction, no long-range order can be achieved at finite temperatures for strictly ID systems. Therefore the ground state of a spin chain can be schematized as in Figure 4.8 with domains of oppositely oriented... 

Applying external fields (electric, thermal, eutectic solidification, crystallization, and solvent evaporation etc.) to induce long-range ordering in micro domains with desirable orientation. 

In none of the above examples of organic crystals is there any evidence on whether or not there is long-range order in the proton-transferred material. It is plausible that the transfers occur initially at random sites in die crystal, which form defective sites in the parent structure. Subsequently, the energy required for further transfers may be affected by the initially formed defects, in which case clustering will occur, leading to domains of proton-transferred molecules. 

The precise details of the structure of LLNio.5-Mno.s02 are complex, with a superstructure being observed in the X-ray diffraction pattern. Long-range order has been detected by transmission electron microscopy, and the domain size of this... 

Fig. 5.15 (a) Field ion image and a domain map of a N Mo alloy which has been annealed for 5 min at 800°C with a slow heating rate to the final annealing temperature. Long range ordered domains are formed within the disordered matrix which, however, already exhibits a small degree of short range order. (Courtesy of M. Yamamoto.)... 

Short range order in liquid-like systems as well as long range order in crystalline domains are reflected in WAXS-patterns very dearly. Some examples of calculated X-ray patterns from PTFE (Phase I), a smectic LC-phase and even a PE melt, show that our model covers a wide range of macromolecular structures running the whole scale from crystalline systems over mesophases up to polymer melts. The range of intra- and intermolecular order can be estimated fairly well with the help of density correlation functions. 

Show that the long-range order parameter for domain 1 is the negative of the long-range order parameter of domain 2. 

Long-range order domains may be nucleated at several places within a grain. When the domains grow together, a boundary will be formed if the domains are out of phase. Figure 8.3 illustrated such an antiphase domain boundary. The... 

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