Persistent Homology To Quantify the Quality of Surface-Supported Covalent Networks

Abraham Gutierrez, Mickaël Buchet*, Sylvain Clair

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Covalent networks formed by on-surface synthesis usually suffer from the presence of a large number of defects. We report on a methodology to characterize such two-dimensional networks from their experimental images obtained by scanning probe microscopy. The computation is based on a persistent homology approach and provides a quantitative score indicative of the network homogeneity. We compare our scoring method with results previously obtained using minimal spanning tree analyses and we apply it to some molecular systems appearing in the existing literature.

Original languageEnglish
Publication statusE-pub ahead of print - 1 Jan 2019


  • 2D networks
  • Network quality
  • on-surface synthesis
  • persistent homology
  • scanning probe microscopy

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Physical and Theoretical Chemistry


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