Big Data in Reciprocal Space: Sliding Fast Fourier Transforms for Determining Periodicity

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

doi:10.1063/1.4914016

Title: Big Data in Reciprocal Space: Sliding Fast Fourier Transforms for Determining Periodicity

Journal Article · Tue Mar 03 00:00:00 EST 2015 · Applied Physics Letters

DOI:https://doi.org/10.1063/1.4914016· OSTI ID:1185879

Vasudevan, Rama K. ^[1]; Belianinov, Alex ^[1]; Gianfrancesco, Anthony G. ^[1]; Baddorf, Arthur P. ^[1]; Tselev, Alexander ^[1]; Kalinin, Sergei V. ^[1]; Jesse, Stephen ^[1]

Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

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.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Sciences (CNMS)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1185879

Alternate ID(s):: OSTI ID: 1420542

Journal Information:: Applied Physics Letters, Vol. 106, Issue 9; ISSN 0003-6951

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 29 works

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