Physical Sciences and Mathematics Commons^™

Quantifying And Enforcing Two-Dimensional Symmetries In Scanning Probe Microscopy Images, Peter Moeck, Marius Toader, Mahmoud Abdel-Hafiez, Michael Hietschold

Physics Faculty Publications and Presentations

The overall performance and correctness of the calibration of all kinds of traditional scanning probe microscopes can be assessed in a fully quantitative way by means of “crystallographic” processing of their two-dimensional (2D) images from samples with 2D periodic (and preferably highly symmetric) features. This is because crystallographic image processing results in two residual indices that quantify by how much the symmetry in a corresponding scanning probe microscopy image deviates from the symmetries of the possible plane groups of the periodic features of the sample. When a most probable plane symmetry group has been identified on the basis of crystallographic …