Scale invariance of the density fluctuations in films and macromolecular aggregates in poly(styrene) solutions

Domain structure of cellulose triacetate

“…3), which enables us to use the model of fractal clus ter [9], for which g 0 (R) Ӎ (D/2Ω) , where R 0 is the gyration radius of a "simple" particle of the clus ter and D is its fractal dimensionality [4]. Using the functions g 0 (R), the values of R 0 and D are determined …”

“…Samples for electron microscopy were prepared by the method described in [4], i.e., by preliminary acti vation of the "air" surface of films by bromine water with subsequent vacuum thermal evaporation of gold and the preparation of a bearing carbon replica. Bro mine molecular complexes with carbonyl groups of CTA served as active centers for formation of decorat ing gold particles [7].…”

“…The model of fractal clusters is used in application to the analysis of elec tron microscopy images of decorating gold nanoparti cles. This model enables one to establish the interrela tion between the parameters of the short range and long range orders in a solid body, which we have dem onstrated earlier [4,5] when studying fluctuations of density on films of a flexible chain polymer: atactic polystyrene.…”

Cluster structure of oriented polyethylene terephthalate films

“…The films are deformed inhomogeneously, with formation of regions differing in the chain packing density and the degree of coil unfolded chain transformation β [1,2]. Such regions may be considered as fractal clusters of parti cles [3,4], for which, according to electron micros copy data, the parameter β can be calculated with a variation of λ.…”

“…Earlier [4], when studying density fluctuations on the surface of atactic polystyrene film, we used the model of fractal clusters for the analysis of electron microscopy images of decorating gold nanoparticles. As a result, the coil blob transition [5], which leads to an increase in the density fluctuations in films, has been found.…”