Fractal approach

It turns out that many surfaces (and many line patterns such as shown in Fig. XV-7) conform empirically to Eq. VII-20 (or Eq. VII-21) over a significant range of r (or a). Fractal surfaces thus constitute an extreme departure from ideal plane surfaces yet are amenable to mathematical analysis. There is a considerable literature on the subject, but Refs. 104-109 are representative. The fractal approach to adsorption phenomena is discussed in Section XVI-13. 

D. Avnir, ed.. The Fractal Approach to Heterogeneous Chemistry, Wiley, New York, 1989. 

Avnir D (ed) 1989 The Fractal Approach to Heterogeneous Chemistry Surfaces, Colloids, Polymers (New York Wiley)... 

MODELING THE ENSEMBLES (CLUSTERS) OF PARTICLES AND PORES ON THE BASIS OF A FRACTAL APPROACH... 

Another important field of the application of fractal approach to texturology is related to surface roughness. Anvir and Pfeifer [212,213] proposed characterization of surface irregularities by adsorption and established two methods, based on Mandelbrot s fundamental equations of type 9.69. According to the first method of Dt calculation, one uses the relations that interrelate a number of molecules in a complete monolayer during physisorption, nm, or an accessible surface area, A, with a cross-sectional area, w, which correspond to one molecule in a monolayer ... 

Fractal Approach to Rough Surfaces and Interfaces in Electrochemistry... 

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