Lecture17-XRD-UnitCellStructureFactor

Lecture17-XRD-UnitCellStructureFactor - EMSE 312...

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EMSE 312 – Diffraction Principles Lecture 17 Powder X-ray Diffraction (XRD) Techniques Unit Cell Structure Factors Diffracted Intensities EMSE 312 DIFFRACTION PRINCIPLES
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EMSE 312 – Diffraction Principles Diffraction Techniques - XRD Scattering by a Unit Cell – first order reflections Plane (h00): Angular phase shift: hkl d B θ B θ 2 2’ 1 1’ x 3 3’ ( ) B 1'3' 2xsin δ θ λ = < ( ) B 1'2' hkl 2d sin δ θ λ = = h00 a d h = ( ) ( ) B B 1'2' h00 h00 2d sin sin 2d λ δ θ λ θ = = = ( ) ( ) 1'3' h00 x 2x h x / a 2d a / h λ λ δ λ = = = ( ) ( ) 1'3' 2 x 2 h x / a a / h π λ φ π λ = = 2 δ φ π λ =
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