“…Aluminum is probably the most important under all these metallic elements. Since the discovery of the structural features of porous aluminum oxide (PAOX) on anodized aluminum in 1953 by Keller et al, a widespread scientific interest has emerged in which new findings continue to be published. − New applications regarding PAOX are characterized by the publication of advanced synthesis methods for nanomaterials, for which PAOX serves both as a template and as a basis for the production of photonic crystals, hierarchical pore structures, ordered three-dimensional, interconnected nanostructures, and sensors. , This popularity of PAOX for various nanotechnological applications is mainly due to the simplicity of its synthesis, ,,, which is realized by a straightforward electrochemical process governed by the type of electrolyte, its bulk concentration c 0 and temperature T . ,, As a consequence of the simplicity of the experimental fabrication, many studies have been published in the past decades which investigate the influence of the mentioned parameters on the structural properties of PAOX and the arrangement of its pores. ,, In the so-called “self-ordering regime” at specific electrical potentials ΔU max , the pores self-organize to form a hexagonal closed packing or honeycomb structure . It can occur several times within the applicable ΔU -range. , Beside these experimental findings, a number of theoretical − and semiempirical − theories exist to explain or predict PAOX and the nature of its formation. − These existing theories can be categorized into different fields, which deal with either the pore initiation and formation, , the initiation of the porous structure and its growth, , the dependencies of the PAOX properties on the applied current or voltage, , or the self-organization of pores including their arrangement. ,,, Nevertheless, the self-organization process of pore arrangement and its relation to the ΔU max values is currently still far...…”