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Development of powder diffraction analysis tools for a nanocrystalline specimen: An emphasis upon NiTi (Nitinol) Erich Owens Albion College Stanford Linear Accelerator Center August 16 th, 2006
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X-ray diffraction Bragg’s law: θ θ θ d *
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Powder Diffraction Basics
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Features of the Diffraction Image Peak width Crystallization of material Peak intensity Texture Peak location Lattice spacing (d)
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Overview Signal Identification and Extraction Data Science e.g.
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Features of the Diffraction Image
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Signal versus Background
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Data Analysis
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Each row (some chi value) to have a single peak fitted (Gaussian/Doppler, Lorentzian, or Voigt [a convolution of Gaussian and Lorentzian distribution]). Interpretation and subtraction of background from relevant signal Stored data along each chi of fitted peak’s width, amplitude, and location. Relevant data needed and how to get there
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Fitting the Curves
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Data Analysis
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Residues
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Developed Algorithm -Minimizes user input in determining signal from background -Extracts needed peak qualities
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Developed Algorithm (in action)
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Pretty pictures of fitted data Before After
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Overview (again) Refinement and Signal Extraction Data Science e.g.
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Results – succesful data extraction allows some science to be performed
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Acknowledgements Matthew Strasberg, Cornell University Apurva Mehta and Samuel Webb, Stanford Linear Accelerator Center SULI Program Coordinators at SLAC Office of Science, Department of Energy
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