“…Several earlier studies of the morphological and structural characterization of electrode material revealed the surface roughness played important roles in determining its electrocatalytic activity (Duo et al, 2003;Guinea et al, 2009;Luo et al, 2009). However, due to the limitations of the traditional roughness analyses, the accurate determination of surface roughness becomes particularly difficult in the case of real electrode materials (Popov et al, 2010). Alternatively, a novel mathematical tool named fractal geometry greatly simplifies the descriptive properties of surface morphology (Yadav et al, 2012).…”