Single-chain clusters

FIGURE 7-15 Amylose and amylopectin, the polysaccharides of starch, (a) A short segment of amylose, a linear polymer of o-glucose residues in (ctl —>4) linkage. A single chain can contain several thousand glucose residues. Amylopectin has stretches of similarly linked residues between branch points, (b) An (ctl —>6) branch point of amylopectin. (c) A cluster of amylose and amylopectin like that believed... 

A first contribution to J-p is caused by the bonding between two atoms which constitute one molecule. This direct intra-molecular interaction between the atoms is taken into considerations as a f -bond. In addition there are intra-molecular interactions of indirect nature between the both atoms of a molecule. These atoms affect each other indirectly by n point interactions with all remaining atoms and combinations of atoms. The so-called intra-molecular pair cavity function y (ryw) expresses the ensemble of all indirect interactions which appear between the atoms of a molecule in f-bonds [13] and establishes the searched correlation function for all indirect interactions between the atoms inside a molecule. TTie molecular DFT approach evaluates the cluster expansion to calculate y (rjvr) using TPT. This approximation takes into account only presentations with vertices n <— 2, for what reason it is called the single chain approximation (TPT1)[12]. [7,8]... 

The dynamics of a single chain in a tube is mapped onto the dynamics of the cluster of reptons along the one-dimensional lattice. To properly describe chain motion along the tube, the motion of reptons must obey a specific set of rules. The reptons can never vacate a site in the middle of the... 

Single-determinant HF calculations by Ewing and Pfeiffer on C (n = 2 to 6) [227]. MNDO calculations by Bemholc and Phillips for neutral and charged chains and monocyclic rings up to = 25 [228]. For neutral clusters, linear chains were found to be the preferred structures up to n = 9 (as compared with cyclic isomers), with the odd-... 

As a result, clusters are formed that are loosely bound. The clusters are often linearly elongated in contrast to the usual spherical clusters. This chaining is occasioned by the fusion of single objects to a cluster. The procedure is related to the k-nearest neighbor (k-NN) method. 

Compounds with either isolated clusters or chains condensed from single octahedra... 

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