Space order

Thus, it is necessary, using the coordinate representation, to select all the space ordered diagrams, which give a large contribution, and to sum them up. A convenient method for such a summation was proposed by Berezinsky /3/. 

In the frame of QCA the particle space ordering is described by the radial distribution function g(R). For random close-packed stractures with short-range ordering we used the solid sphere approximation [1]. For the polycrystalline arrays the ordering scale is limited by the domain boundaries and characterized by the correlation length Lq. At the greater distances we can suppose the homogeneous distribution of particles ... 

Also instructive is the form of the Landau free energy one obtains for the ternary system of A and B homopolymers and symmetrical AB diblocks, all of index N. For the case in which the homopolymers each have volume fraction (1 — 0)/2 and the diblock has volume fraction 6 that is not too large, 0 < 2/3, the free energy in terms of the real-space order parameter (r) is [166]... 

NON-LINEAR STEADY STATES - DISSIPATIVE STRUCTURE (TIME ORDER AND SPACE ORDER)... 

In case of space order and spatio-temporal oscillations, diffusion of the reactants control the internal production of entropy so that dissipative structure occurs. Diffusion contributes to the dissipation of entropy. 

So we may conclude that a chemical reaction system that includes the steps of autocatalysis and has a time-delayed autoinhibition, under certain conditions could be coherent. It is remarkable that a strict time- and space-ordered complex chemical process is implemented under conditions when its individual chemical steps are of chaotic (disordered) nature. 

The discovery of ordered mesoporous silica materials by scientists from Mobil Corporation in 1992 was a significant breakthrough in the field of porous materials. This class of materials, whose most prominent representatives are MCM- and SBA-type materials, offers unique potential for the immobilization of catalysts. Their unprecedented properties, such as large pore spaces, ordered tuneable pore sizes and large surface area open up new possibilities for the catalytic conversion of substrates with larger molecular size. The physical properties of their inner surfaces, such as surface acidity, can be chemically modified, affbrding additional flexibility in catalyst design. ... 

It is acknowledged that literal simulation of the combinatorial chemistry/ HTS process in silica still has substantial limitations. Although this will allow searching of chemical space orders of magnitude faster than can real world combinatorial synthesis, it can still explore only a minute fraction of even druglike chemical space. 

Approach to Real-Space Order-N Electronic-Structure Calculations. 

Neutron diffraction is used for the determination of the equilibrium positions and space ordering of the atoms of the sample, i.e. the host and the guest. The best results will be obtained for coherent scatterers. Therefore deuterated species are preferable instead of protonated guest molecules. 

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