Two-dimensional crystallite

Weissbuch, I., Bolbach, G., Leiserowitz, E, Lahav, M. Chiral amplification of oligopeptides via polymerization in two-dimensional crystallites on water. Origins of Life and Evolution of the Biosphere. 34 (2004) 79-92. 

Few adsorption studies have been devoted to surface with controlled defects. A typical example relates the influence of atomic steps on the adsorbate stracture [101], Vicinal (610) NaCl surfaces have been trsed as a substrate. Heterogeneities do not modify the lateral stracture of the two-dimensional sohd xenon which remains hexagonal close-packed, but they reduce the size of the two-dimensional crystallites. 

Micropores, where most adsorption takes place, are in the form of two-dimensional spaces between two graphite-like walls, two-dimensional crystallite planes composed of carbon atoms. The distance between the two neighboring planes of graphite is 3.76 A (0.376 nm), but in the case of activated carbons which have a rather disordered crystallite structure (turbostratic structure), this figure must be larger since adsorbate molecules are not accessible otherwise (Fig. 2.2). 

Figure 4 Curves for the Probabilities P(B,N) of (B-N-N-N) in Sequences for n = 1,2,3,4 in a Two Dimensional Crystallite as a Function of the Number of Chains in the Crystallite...

Figure 3.6. Two-dimensional representation of molecules in a crystalline polymer according to the fringed micelle theory showing ordered regions (crystallites) embedded in an amorphous matrix.

The effects due to the finite size of crystallites (in both lateral directions) and the resulting effects due to boundary fields have been studied by Patrykiejew [57], with help of Monte Carlo simulation. A solid surface has been modeled as a collection of finite, two-dimensional, homogeneous regions and each region has been assumed to be a square lattice of the size Lx L (measured in lattice constants). Patches of different size contribute to the total surface with different weights described by a certain size distribution function C L). Following the basic assumption of the patchwise model of surface heterogeneity [6], the patches have been assumed to be independent one of another. 

Pd(lll). However, Pd(lll) shows little or no evidence for the stoichiometric 2Bi + L + 3L process. This could be due to the presence of longer range order on the single crystal than on the Pd particles, leading to processes more akin to two dimensional phase transitions on the Pd(lll) crystal surface, rather than a more local species conversion on the small metal crystallites. 

Another demonstration of the impact of upd on bulk deposition is provided by Pb and T1 deposition on Ag(lll) and Ag(lOO), where the orientation of the three-dimensional crystallites reflects the epitaxially relationship established by the upd layer [341]. For example, in the case of Pb deposition on Ag(lll) [395], a two-dimensional layer, Ag(lll)[110] compressed 2D hep Pb [110] R 4.5°, is initially formed followed by nucleation of a three-dimensional cluster having the same orientational relationship, Ag(lll)[110] 3DPb(lll)[110] R4.5°. 

When the charge-transfer step in an electrodeposition reaction is fast, the rate of growth of nuclei (crystallites) is determined by either of two steps (I) the lattice incorporation step or (2) the diffusion of electrodepositing ions into the nucleus (diffusion in the solution). We start with the first case. Four simple models of nuclei are usually considered (a) a two-dimensional (2D) cylinder, (b) a three-dimensional (3D) hemisphere, (c) a right-circular cone, and (d) a truncated four-sided pyramid (Fig. 7.2). 

For example, the oxidative dehydrogenation of ethane and propane was examined via UV-visible and Raman spectra. The study investigated the catalytic properties vanadia formulations that possessed a range of VO surface species density (1.4—34.2 V/nm ) on an AI2O3 support. The observations showed increased surface densities, greater than 2.3 V/nm , favored two-dimensional polyvanadates. At lower surface densities, ca. 2.3 V/nm , predominately isolated monovanadate species were observed. Further increasing surface densities to more than 7.0 V/nm yielded V2O5 crystallites. ... 

Fig. la. Atomic structure ofa two-dimensional nano-structured material. For the sake of clarity, the atoms in the centers of the crystals are indicated in black. The ones in the boundary core regions are represented by open circles. Both types of atoms are assumed to be chemically identical b Atomic arrangement in a two-dimensional glass (hard sphere model), c Atomic structure of a two-dimensional nanostructured material consisting Of elastically distorted crystallites. The distortion results from the incorporation of large solute atoms. In the vicinity of the large solute atoms, the lattice planes are curved as indicated in the crystallite on the lower left side. This is not so if all atoms have the same size as indicated in Fig. la [13]... 

As in many other anthracitic substances, diffuse bands also appear near 43° and 80° 26. These represent two-dimensional (hk) reflections only since the turbostratic disorder of graphitic layers which characterizes amorphous carbons does not permit (hkl) three-dimensional atomic planes other than (001). Hirsch (19) proposed that the position of the (11) band was a function of carbon content of the sample, related to the crystallite layer diameter (L ). With increasing rank, the (11) reflection shifts towards smaller 26 values, representing greater bond lengths and larger crystallite size. Using values... 

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