Inferring fractal dimension of rough/porous surfaces—A comparison of SEM image analysis and electrochemical impedance spectroscopy methods

Pore structure and fractal analysis of Ximeng lignite under microwave irradiation

“…Therefore, an increase in fractal dimension indicates an increase in the roughness of the surface, whereas a decrease in fractal dimension indicates smoothing of the surface. The fractal dimension of fractals can be determined with different methods, including small-angle X-ray scattering, scanning electron microscope (SEM), high-resolution transmission electron microscopy, mercury porosimetry, small-angle neutron scattering, nuclear magnetic resonance spectroscopy, and gas adsorption [7][8][9][10][11][12]. Gas adsorption can be the simplest and most convenient method that is widely used to analyze the pore structure and fractal characterization of objects [13][14][15][16].…”

Fractal Approach to Alternating Current Impedance Spectroscopy Studies of Carbon Nanotubes/Epoxy Polymer Composites

“…The power-law dependence of the CPE impedance suggests a possible relationship between CPE behavior and the fractal interface geometry of the electrode (Hernandez Creus et al, 1993;Le Mehaute & Crepy, 1983;Nyikos & Pajkossy, 1985;Sapoval et al, 1933). Numerous experimental studies on various materials using different characterization techniques were performed to reveal the structure of solid aggregates by means of fractal dimension (Risović et al, 2008;Zhang et al, 2009). In some, though not all, systems studied so far, a relation (Nyikos & Pajkossy, 1985):…”

Carbon Sequestration Monitoring Activities

“…Previous studies have demonstrated the fractal nature of pore networks in many different rock types using neutron scattering (KAHLE et al, 2004;RADLINSKI, 2006;RADLINSKI et al, 2004) and image analysis (DATHE et al, 2001;LEE et al, 2006;RISOVIC et al, 2008). However, only a handful of studies have shown changes to the fractal distribution of pore networks as a result of chemical or physical properties, such as oil generation (RADLINSKI et al, 2000a;RADLINSKI et al, 1996), metamorphism (ANOVITZ et al, 2009) and chemical weathering.…”