Determination of the degree of ordering of materials’ structure by calculating the information-correlation characteristics

Abstract

A new method for the analysis of self organization processes in solid state materials by calculating the information-correlation characteristics of a surface (in particular, by calculating the average mutual information) is described. Criteria for determining the degree of ordering of a surface structure are suggested; these criteria have been tested for experimental semiconductor structures of single , poly crystalline, and amorphous silicon. The dependences of the information characteristics for films of disordered semiconduc tors on the technological conditions of their fabrication are established.

Multifractal Detrended fluctuation Analysis in Examining Surface Properties of the Gas-Sensing Metal-Containing Polyacrylonitrile

“…According to the work (Lu et al, 2012) the various time-temperature modes of IR-annealing and the modifying additive concentration are the technological parameters that form the unique structure of a polymer composite Ag-containing PAN film and lead to essential change of the film surface morphology. It have been established that the best gas-sensitivity shows the films with obvious self-organization processes and presence of structures with several correlation dimensions and high value of average mutual information (Vikhrov et al, 2012) or mean reciprocal information (Mursalov et al, 2000).…”

“…The film surface images received by means of microscopy can serve as a starting point for the analysis by methods of nonlinear dynamics and the information theory (Vikhrov et al, 2005, Bodyagin et al, 1997, Mursalov et al, 2000, Vikhrov et al, 2012, Avacheva et al, 2008. The processes in solid-state formation are characterized by the basic features of self-organizing systems (Vikhrov et al, 2005).…”

“…Vikhrov S.P. suggested a new approach of describing the formation processes of disordered structures in order to have an efficient method for diagnostics of surface structure using information theory and a method for determining the degree of ordering of the materials' structure (Vikhrov et al, 2012). Vikhrov S.P.…”

“…Vikhrov S.P. showed the ability of the methods to reveal change of structure under influence of technology parameters that is impossible to make by traditional methods (Vikhrov et al, 2012, Avacheva et al, 2008.…”

Determination of Surface Structural Complexity of Solid-State Materials

“…In some cases for disordered materials, there is not any correlation vector at all. In this case, the surface structure should be evaluated by the degree of ordering [6].…”