Measuring the complexity of micro and nanostructured surfaces

A. Arapis, V. Constantoudis (Lead / Corresponding author), D. Kontziampasis, A. Milionis, C. W. E. Lam, A. Tripathy, D. Poulikakos, E. Gogolides

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


Nanostructured surfaces usually exhibit complicated morphologies that cannot be described in terms of Euclidean geometry. Simultaneously, they do not constitute fully random noise fields to be characterized by simple stochastics and probability theory. In most cases, nanomorphologies consist of complicated mixtures of order and randomness, which should be described quantitatively if one aims to control their fabrication and properties. In this work, inspired by recent developments in complexity theory, we propose a method to measure nanomorphology complexity that is based on the deviation from the average symmetry of surfaces. We present the methodology for its calculation and the validation of its performance, using a series of synthetic surfaces where the proposed complexity measure obtains a maximum value at the most heterogeneous morphologies between the fully ordered and fully random cases. Additionally, we measure the complexity of experimental micro and nanostructured surfaces (polymeric and metallic), and demonstrate the usefulness of the proposed method in quantifying the impact of processing conditions on their morphologies. Finally, we hint at the relationship between the complexity measure and the functional properties of surfaces.

Original languageEnglish
Pages (from-to)63-72
Number of pages10
JournalMaterials Today: Proceedings
Issue numberPart 1
Early online date12 Nov 2021
Publication statusPublished - 2022
Event2020 International Conferences and Exhibition on Nanotechnologies, Organic Electronics Nanomedicine, NANOTEXNOLOGY 2020 - Thessaloniki, Greece
Duration: 4 Jul 202011 Jul 2020


  • Aluminium surfaces
  • Complexity
  • Entropy
  • Etching
  • Nanostructures
  • PMMA surfaces

ASJC Scopus subject areas

  • General Materials Science


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