Abstract
Quantitative analysis of point defects is demonstrated through the use of multivariate statistical analysis. This analysis consists of principal component analysis for dimensional estimation and reduction, followed by independent component analysis to obtain physically meaningful, statistically independent factor images. Results from these analyses are presented in the form of factor images and scores. Factor images show characteristic intensity variations corresponding to physical structure changes, while scores relate how much those variations are present in the original data. The application of this technique is demonstrated on a set of experimental images of dislocation cores along a low-angle tilt grain boundary in strontium titanate. A relationship between chemical composition and lattice strain is highlighted in the analysis results, with picometer-scale shifts in several columns measurable from compositional changes in a separate column.
Original language | English |
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Pages (from-to) | 251-257 |
Number of pages | 7 |
Journal | Ultramicroscopy |
Volume | 111 |
Issue number | 3 |
DOIs | |
State | Published - Feb 2011 |
Externally published | Yes |
Funding
MCS thanks David Morgan, Quentin Ramasse, Chad Parish and Paul Kotula for helpful conversation and Bernhard Schaffer, Patricia Abellan, and the journal referees for productive comments on this manuscript. This work was supported by the United States Department of Energy , Grant no. DE-FG02-03ER46057 and by the Materials Design Institute, Los Alamos National Laboratory, LANS contract 25110-002-06, Mod 6 and by a University of California Lab Management Fees Award. SuperSTEM is funded by EPSRC. M. Chi was supported by an LLNL SEGRF fellowship during the TEM work of this paper.
Funders | Funder number |
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LANS | 25110-002-06 |
Materials Design Institute | |
University of California Lab Management | |
U.S. Department of Energy | DE-FG02-03ER46057 |
Lawrence Livermore National Laboratory | |
Los Alamos National Laboratory | |
Engineering and Physical Sciences Research Council |
Keywords
- Image processing
- Multivariate statistical analysis
- Point defect
- STEM