TY - JOUR
T1 - Big data in reciprocal space
T2 - Sliding fast Fourier transforms for determining periodicity
AU - Vasudevan, Rama K.
AU - Belianinov, Alex
AU - Gianfrancesco, Anthony G.
AU - Baddorf, Arthur P.
AU - Tselev, Alexander
AU - Kalinin, Sergei V.
AU - Jesse, S.
N1 - Publisher Copyright:
© 2015 AIP Publishing LLC.
PY - 2015/3/2
Y1 - 2015/3/2
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84929094773&partnerID=8YFLogxK
U2 - 10.1063/1.4914016
DO - 10.1063/1.4914016
M3 - Article
AN - SCOPUS:84929094773
SN - 0003-6951
VL - 106
JO - Applied Physics Letters
JF - Applied Physics Letters
IS - 9
M1 - 091601
ER -