Lecture09-BraggsLaw

Lecture09-BraggsLaw - EMSE 312 – Diffraction Principles...

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Unformatted text preview: EMSE 312 – Diffraction Principles Lecture 9 Applications of Bragg’s Law Preview: XRD Laue Backscattering X-ray Spectroscopy Basic Properties of X-rays (EM- Waves) EMSE 312 DIFFRACTION PRINCIPLES EMSE 312 – Diffraction Principles Diffraction • Obtain Diffraction Patters - Reciprocal Space • D e t e r m i n e Real Space – Explore Symmetry • The Symmetry of the Reciprocal Lattice is related to the symmetry of the Real Lattice (Location) • Explore Systematic Absences - interference – Explore the Intensity • The Chemistry is related to the Intensity of Diffracted beams (Shape) Real Space Reciprocal Space Fourier Transforms EMSE 312 – Diffraction Principles Diffraction • B r a g g s L a w – Diffraction Occurs for Positive Interference ( ) B hkl 2d sin n θ λ = ⋅ hkl d λ 1 1’ 2 2’ B θ B θ ( ) B hkl d s i n θ ( ) B hkl d s i n θ Path Difference ( ) B 1'2' hkl 2d sin n δ θ λ = = ⋅ EMSE 312 – Diffraction Principles Diffraction - Techniques • B r a g g s L a w – Constant Geometry ( θ B =const) – Laue Technique – Constant wavelength ( λ =const) – XRD – Constant d-spacing (d hkl =const) – X-ray Spectroscopy ( ) B hkl 2d sin n θ λ = ⋅ hkl d λ 1 1’ 2 2’ B θ B θ B θ B θ ( ) B hkl d s i n θ ( ) B hkl d s i n θ ( ) B 1'2' hkl 2d sin n δ θ λ = = ⋅ EMSE 312 – Diffraction Principles Diffraction Techniques - Preview • Laue Backscattering Technique – Constant Geometry ( θ B =const) – Used to orient Single Crystals – Each plane will diffract for a particular wavelength and direction determined by Bragg’s Law ( ) B hkl 2d sin n θ λ = ⋅ EMSE 312 – Diffraction Principles Diffraction Techniques - Preview • Laue Backscattering Technique ( ) B hkl 2d sin n θ λ = ⋅ Single Crystal n Diffracted Beam Plane Normal Plane d hkl Incident Beam Photographic Plate B θ B θ EMSE 312 – Diffraction Principles...
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This note was uploaded on 12/01/2011 for the course EMSE 312 taught by Professor Lagerlof,p during the Spring '08 term at Case Western.

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Lecture09-BraggsLaw - EMSE 312 – Diffraction Principles...

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