Abstract

A review of quantitative arrangement analysis methods of nanoporous anodic aluminum oxide has been done. Numerous researches trigger the need of reliable quantitative arrangement analysis of the nanopores. The reviewed methods are based on the quantitative image analysis and include: regularity ratio derived from fast Fourier transform, angle distribution function, pair distribution function, circularity, local order parameter and defect maps. Each of the method brings unique information about the ordering. In this review the fundamentals of all the applied quantitative arrangement analysis methods are discussed. Also applications of the methods in the research are described. The described arrangement analysis methods are complementary to each other.

Keywords: Angle distribution function, anodization, arrangement, circulairty, defect maps, delaunay triangulations, fast fourier transform, local order parameter, pair distribution function, regularity, self-organization.

Graphical Abstract