Cluster fractal structure conductivity

A characteristic feature of the carbon modifications obtained by the method developed by us is their fractal structure (Fig. 1), which manifests itself by various geometric forms. In the electrochemical cell used by us, the initiation of the benzene dehydrogenation and polycondensation process is associated with the occurrence of short local discharges at the metal electrode surface. Further development of the chain process may take place spontaneously or accompanied with individual discharges of different duration and intensity, or in arc breakdown mode. The conduction channels that appear in the dielectric medium may be due to the formation of various percolation carbon clusters. 

The authors of Ref [9] conducted cross-linked polymers microhardness description within the frameworks of the fractal (structural) models and the indicated parameter intercommunication with structure and mechanical characteristics clarification. The epoxy polymers structure description is given within the frameworks of the cluster model of polymers amorphous state structure [10], which allows to consider polymer as natural nanocomposites, in which nanoclusters play nanofiller role (this question will be considered in detail in chapter fifteen). 

Section VII deals with suspensions made of fractal aggregates, because of the practical importance of such structures that may be present in many circumstances. The conductivity of such suspensions is determined for charged and uncharged clusters the electrophoretic mobility is calculated in the dilute limit. 

Atomic and electronic processes that occur at the polymer-nanoparticle interface largely determine the unique properties of nanocomposite. These materials become electrical conductors only at definite component ratios when conducting chain-type coagulated structures are formed instead of matrix systems. In other words, the fractal clusters formed upon cohesion of nanoparticles serve as ciurent-conducting channels. The highest conductivity is attained when the metallopoly-meric material is permeated by interconnected chains of conducting particles that are in contact. This forms an electrical percolation network that exceeds the percolation threshold. As a rule, this is achieved at a nanoparticles content of 50 vol%. 

Let us briefly consider the conducting properties of hybrid nanocomposites. Conducting properties are manifested only with particular inorganic component to polymer ratios in which cmrent-conducting channels of fractal metal-containing clusters are formed in a polymeric matrix for one reason or other. The highest conductivity is achieved when the composite is converted into a network of interrelated current-conducting chains. This is where a percolation structure is achieved. To put it differently, critical concentrations of the filler (p (the percolation threshold) exist above which (9 > 9 ) the conductivity sharply increases. 

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