Big data in reciprocal space: Sliding fast Fourier transforms for determining periodicity

Rama K. Vasudevan, Alex Belianinov, Anthony G. Gianfrancesco, Arthur P. Baddorf, Alexander Tselev, Sergei V. Kalinin, S. Jesse

Research output: Contribution to journalArticlepeer-review

36 Scopus citations

Abstract

Significant advances in atomically resolved imaging of crystals and surfaces have occurred in the last decade allowing unprecedented insight into local crystal structures and periodicity. Yet, the analysis of the long-range periodicity from the local imaging data, critical to correlation of functional properties and chemistry to the local crystallography, remains a challenge. Here, we introduce a Sliding Fast Fourier Transform (FFT) filter to analyze atomically resolved images of in-situ grown La5/8Ca3/8MnO3 (LCMO) films. We demonstrate the ability of sliding FFT algorithm to differentiate two sub-lattices, resulting from a mixed-terminated surface. Principal Component Analysis and Independent Component Analysis of the Sliding FFT dataset reveal the distinct changes in crystallography, step edges, and boundaries between the multiple sub-lattices. The implications for the LCMO system are discussed. The method is universal for images with any periodicity, and is especially amenable to atomically resolved probe and electron-microscopy data for rapid identification of the sub-lattices present.

Original languageEnglish
Article number091601
JournalApplied Physics Letters
Volume106
Issue number9
DOIs
StatePublished - Mar 2 2015

Fingerprint

Dive into the research topics of 'Big data in reciprocal space: Sliding fast Fourier transforms for determining periodicity'. Together they form a unique fingerprint.

Cite this