Neighboring clusters

Insertion of a third methylene bridge into M leads to hypho P with 20 SE. The tetrameric species [Li(thp)2Li87]4 and Li([12]cr-4)2 4(Li87)4 suggest that one Li+ has to be assigned to each [(MeCH)3BMe]32 arachno cluster. The former is coordinated by two C-B bonds of the neighboring cluster [103]. This increases the total... 

Fig. 2. The graph representation of various relations among proteins or genes. The pathway and the assembly are representations of biochemical knowledge about the network of molecular interactions. The genome represents the positional correlations of genes. The neighbor, cluster, and hierarchical tree are computationally obtained from a set of binary relations, namely, similarity relations of protein pairs or gene pairs.

Figure 108. A portion of the polymeric structure of [SjCd tSPh O f-OMeF], the solvent methanol molecule is not shown. Here, the xanthate ligands serve to bridge neighboring clusters resulting in a 3D array. The SPh groups are represented as SR for clarity.

ElliPro Residue protrusion index and neighbor clustering http //tools.immuneepitope. org/tools /ElliPro / Ponomarenko et al. (36)... 

Figure 5. Two Moi54 clusters can be held to each other through a water network involving two pentagonal boxes (one associated with each (Mo)Mo5), each with five hydrogen bonded links (as Figure 4b) plus four further hydrogen bonded links from each of the local (Mo)Mo5Mo5C>33 clusters and associated links from neighboring clusters and including 45-plus shared molecules from the partial icosahedral water clusters. Water O-atoms are shown white with the Mo cluster atoms darker. The Mo—Mo distance between the two central surface Mo atoms of the Mo clusters is about 1.59 nm.

The proportionality constant Nf in Eq. (21) is a generalized Flory-Number of order one (Np=l) that considers a possible interpenetrating of neighboring clusters [22]. For an estimation of cluster size in dependence of filler concentration we take into account that the solid fraction of fractal CCA-clusters fulfils a scaling law similar to Eq. (14). It follow directly from the definition of the mass fractal dimension df given by NA=( /d)df, which implies... 

For analyzing the fracture behavior of filler clusters in strained rubbers, it is necessary to estimate the strain of the clusters in dependence of the external strain of the samples. In the case of small strains, considered above, both strain amplitudes in spatial direction n are equal (t A F i). because the stress is transmitted directly between neighboring clusters of the filler network. For strain amplitudes larger than about 1%, this is no longer the case, since a gel-sol transition of the filler network takes place with increasing strain [57, 154] and the stress of the filler clusters is transmitted by the rubber matrix. At larger strains, the local strain eAtfl of a filler cluster in a strained rubber matrix can be determined with respect to the external strain if a stress equilibrium between the strained cluster and the rubber matrix is assumed ea GpX =6rm( u)) With Eq. (29) this implies... 

---