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Lecture24-XRD-PreciseLatticeParameterMeasurements

# Lecture24-XRD-PreciseLatticeParameterMeasurements - EMSE...

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EMSE 312 – Diffraction Principles Lecture 24 Powder X-ray Diffraction (XRD) Techniques Precise Lattice Parameter Measurements (Review) Residual Stress Measurements EMSE 312 DIFFRACTION PRINCIPLES

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EMSE 312 – Diffraction Principles Remaining Classes Today – Nov. 22: Precise Lattice Parameter – Review and examples Residual Stress Measurements Monday – Nov. 29: Chemical Analysis Using X-ray Techniques (Cont) Qualitative and Quantitative Analysis Thursday – Dec. 2: Last Class Analytical Electron Microscopy X-ray Spectroscopy (WDXS and EDXS) Wrap-up (including texturing) Independent Study: Review of the 2 nd half of the course Review of Old Exams
EMSE 312 – Diffraction Principles Diffraction Techniques - XRD Precise Lattice Parameter Determinations Indirect Method Measure 2 θ Determine d hkl (reciprocal space) Calculate lattice parameters (real space) from d-spacings Sample Detector 1 θ 2 θ hkl 2d sin θ λ = 2 2 2 hkl hkl 2 2 2 a d a d h k l h k l = = + + + +

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EMSE 312 – Diffraction Principles Diffraction Techniques - XRD Precise Lattice Parameter Determinations sin θ Δ vs. θ Δ Small Error for θ≈ 90 o Extrapolation of data points to θ ≈ 90 o What function should be used? ( ) o 90 a lim a θ θ =
EMSE 312 – Diffraction Principles Diffraction Techniques - XRD Precise Lattice Parameter Determinations – Example 2 sin θ or 2 cos θ

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