The small-angle scattering curves of deterministic mass fractals are studied and analyzed in momentum space. In the fractal region, curve I(q)q(D) is found to be log-periodic with good accuracy, period equal scaling factor fractal. Here, D I(q) dimension intensity, respectively. number periods this coincides iterations. We show that log-periodicity space related quantity g(r)r(3-D) real space, where g(r) pair distribution function. minima maxima positions intensity estimated explicitly by...

We argue that a finite iteration of any surface fractal can be composed mass-fractal iterations the same dimension. Within this assertion, scattering amplitude is shown to sum amplitudes composing mass fractals. Various approximations for intensity are considered. It small-angle (SAS) from explained in terms power-law distribution sizes objects (internal polydispersity), provided distance between much larger than their size each fractal. The decay $I(q) \propto q^{D_{\mathrm{s}}-6}$, where...

Abstract This research presents an in-depth exploration of the electrical and magnetic properties a polypyrrole nanotubes/magnetite nanoparticles (PPyM) material embedded in silicone oil matrix. A key finding our study is dual nature composite, i.e. it exhibits behaviour akin to both electro- magnetorheological suspensions. unique duality evident its response varying electric field intensities. Our focuses on examining including dielectric permittivity loss factor. Additionally, we conduct...

Small-angle scattering (SAS) intensities observed experimentally are often characterized by the presence of successive power-law regimes with various exponents whose values vary from -4 to -1. This usually indicates multiple fractal structures sample different size scales. The existing models explaining crossover positions (that is, points where exponent changes) involve only one contrast parameter, which depends solely on ratio sizes. Here, a model that describes SAS multi-phase system few...

The small-angle scattering (SAS) from the Cantor surface fractal on plane and Koch snowflake is considered. We develop construction algorithm for snowflake, which makes possible recurrence relation amplitude. fractals can be decomposed into a sum of mass arbitrary iteration, enables various approximations intensity. It shown that fractal, one neglect with good accuracy correlations between amplitudes, while these are important. nevertheless, build in explains decay intensity $I(q)\sim...

This study presents the fabrication and characterization of hybrid magneto-responsive composites (hMRCs), which are composed entirely recyclable components: magnetite microparticles (MMPs) as fillers, lard a natural binding matrix, cotton fabric for structural reinforcement. MMPs obtained by in-house plasma-synthesis, sustainable, efficient, highly tunable method producing high-performance MMPs. The resulting hMRCs integrated into flat capacitors, their electrical capacitance (C), resistance...

This study presents the fabrication and characterization of magnetically active textiles using cotton fibers impregnated with suspensions pumpkin seed oil, carbonyl iron microparticles, propolis microparticles. The were utilized to manufacture planar capacitors, enabling an investigation effects static magnetic fields introduced microparticles on components complex dielectric permittivity. results reveal that properties fabricated are highly sensitive applied field intensity, frequency...

This study presents the fabrication and characterization of hybrid magneto-responsive composites (hMRCs), composed recyclable components: magnetite microparticles (MMPs) as fillers, lard a natural binding matrix, cotton fabric for structural reinforcement. MMPs are obtained by in-house plasma-synthesis, sustainable, efficient, highly tunable method producing high-performance MMPs. hMRCs integrated into flat capacitors, their electrical capacitance (C), resistance (R), dielectric permittivity...

This study presents the fabrication and characterization of magnetically active textiles using cotton fibers impregnated with suspensions pumpkin seed oil, carbonyl iron microparticles, propolis microparticles. The were utilized to manufacture planar capacitors, enabling an investigation effects static magnetic fields introduced microparticles on components complex dielectric permittivity. results reveal that properties fabricated are highly sensitive applied field intensity, frequency...

Small-angle scattering (SAS; X-rays, neutrons, light) is being increasingly used to better understand the structure of fractal-based materials and describe their interaction at nano- micro-scales. To this aim, several minimalist yet specific theoretical models which exploit fractal symmetry have been developed extract additional information from SAS data. Although problem can be solved exactly for many particular structures, due intrinsic limitations method, inverse problem, i.e.,...

Electrical conductance and susceptance of electrical devices with composite liquids based on silicone oil polypyrrole-magnetite particles are finely tuned by varying electric magnetic fields adjusting magnetite content.

A fractal with a variable dimension, which is generalization of the well known triadic Cantor set, considered. In contrast usual dimension controlled using scaling factor, and can vary from zero to one in three dimensions. The intensity profile small-angle scattering generalized dimensions calculated. system generated by set iterative rules, each iteration corresponding certain generation. Small-angle considered monodispersive sets, are randomly oriented placed. intensities represent minima...

Small-angle scattering (SAS) of X-rays, neutrons or light from ensembles randomly oriented and placed deterministic fractal structures are studied theoretically. In the standard analysis, a very few parameters can be determined SAS data: dimension, lower upper limits range. The self-similarity allows one to obtain additional characteristics their spatial structures. paper considers models which describe accurately such developed fractals offer many advantages in describing systems, including...

Iron oxide microfibers are synthesized from iron pentacarbonyl, silicone oil and carbonyl microparticles in a microwave field.