Lattice irregularity

In less tenacious cases, more eonventional and simpler methods of activating Mg metal may be applied. Nearly all achieve their goal ultimately by increasing the activity of the Mg surface (number of active spots or lattice irregularities cleaning the surface of inhibitors, such as oxides, or reaction products). They may be divided into two categories mechanical and chemical activation. 

We consider in this book the problem of polymer chain statistics in a disordered (say, porous) medium. If the porous medium is modelled by a percolating lattice [5], we can consider the following problem let the bonds (sites) of a lattice be randomly occupied with concentration p (> Pc, the percolation threshold) the SAWs are then allowed to have their steps only on the occupied bonds (through the occupied sites). We address the following questions [6,7] does the lattice irregularity (of the dilute lattice) affect the SAW statistics ... 

Those sites of dislocations of edge and screw are beneficial to the catal3dic reactions. The other is that the electronic factors on those sites of crystal lattice irregularity enhance the high catal3dic activities, because the surface points correlated with the dislocations and defects can modify the electrical properties of solids. 

A decr se in molecular weight, with consequent increase in nmlecular ends and hence lattice irregularities, causes the maximum in H to broaden and shift to shorter times. ... 

In this discussion, entropy factors have been ignored and in certain cases where the difference between lattice energy and hydration energy is small it is the entropy changes which determine whether a substance will or will not dissolve. Each case must be considered individually and the relevant data obtained (see Chapter 3), when irregular behaviour will often be found to have a logical explanation. 

Polymer crystals most commonly take the form of folded-chain lamellae. Figure 3 sketches single polymer crystals grown from dilute solution and illustrates two possible modes of chain re-entry. Similar stmctures exist in bulk-crystallized polymers, although the lamellae are usually thicker. Individual lamellae are held together by tie molecules that pass irregularly between lamellae. This explains why it is difficult to obtain a completely crystalline polymer. Tie molecules and material in the folds at the lamellae surfaces cannot readily fit into a lattice. 

Wetting phenomena on irregularly rough surfaces have not been studied so far. It seems quite reasonable to use computer simulation methods for this purpose. Of course, such computer simulation would be very expensive as the finite size of the simulation cells would require appropriate averaging over different spatial distributions of surface inhomogeneities. Nevertheless, with modern fast computers and using multispin coding techniques such calculations can be efficiently carried out for lattice gas systems. 

The answer that Zuse offers to the first question is to use irregularly organized lattices (recall T.D. Lee s random lattice field theory ([tdlee85a] section 12.5.3) and Ilachinski s speculative reasons for developing his SDCA model ([ilach87] see section 8.8) ... 

FIGURE 18.15 Plane string net of regular lattice (A) and irregular lattice indicated by a, b, c (B). 

The layout of building foundation piles always depends on the building structure, geological condition and the type of foundation piles. It is not in regular lattice pattern in most cases. Many existing designing soft wares utilize so-called G-function and they cannot support the irregular layout. The author s... 

The cells of the CA lie at the vertices of a regular lattice that homogenously covers a region of space. Although it is possible in principle to use an irregular lattice, we need to be able to define unambiguously the "neighborhood"... 

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