DOI: 10.1063/1.4914016. Big data in reciprocal space: Sliding fast Fourier transforms for determining periodicity

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

10.1063/1.4914016

Crossref journal-article

AIP Publishing

Applied Physics Letters (317)

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.

Bibliography

Vasudevan, R. K., Belianinov, A., Gianfrancesco, A. G., Baddorf, A. P., Tselev, A., Kalinin, S. V., & Jesse, S. (2015). Big data in reciprocal space: Sliding fast Fourier transforms for determining periodicity. Applied Physics Letters, 106(9).

Authors 7

Rama K. Vasudevan (first)
Alex Belianinov (additional)
Anthony G. Gianfrancesco (additional)
Arthur P. Baddorf (additional)
Alexander Tselev (additional)
Sergei V. Kalinin (additional)
S. Jesse (additional)

References 28 Referenced 37

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Dates

Type	When
Created	10 years, 5 months ago (March 3, 2015, 1:03 p.m.)
Deposited	2 years ago (Aug. 3, 2023, 9:32 p.m.)
Indexed	3 weeks, 4 days ago (July 30, 2025, 7:02 a.m.)
Issued	10 years, 5 months ago (March 2, 2015)
Published	10 years, 5 months ago (March 2, 2015)
Published Online	10 years, 5 months ago (March 3, 2015)
Published Print	10 years, 5 months ago (March 2, 2015)

Funders 1

Basic Energy Sciences 10.13039/100006151
Region: Americas
gov (National government)
Labels6
1. Office of Basic Energy Sciences
2. DOE Office of Basic Energy Sciences
3. US Department of Energy's Basic Energy Sciences
4. DOE Basic Energy Sciences
5. Department of Energy Basic Energy Sciences Program
6. BES

BibTeX

@article{Vasudevan_2015, title={Big data in reciprocal space: Sliding fast Fourier transforms for determining periodicity}, volume={106}, ISSN={1077-3118}, url={http://dx.doi.org/10.1063/1.4914016}, DOI={10.1063/1.4914016}, number={9}, journal={Applied Physics Letters}, publisher={AIP Publishing}, author={Vasudevan, Rama K. and Belianinov, Alex and Gianfrancesco, Anthony G. and Baddorf, Arthur P. and Tselev, Alexander and Kalinin, Sergei V. and Jesse, S.}, year={2015}, month=mar }

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