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Reciprocal Lattice & Diffraction
Crystallography H. K. D. H. Bhadeshia Reciprocal Lattice & Diffraction
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Weiss Zone Rule proven!
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Cubic P, section of reciprocal lattice normal to [001]
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Cubic P, section of reciprocal lattice normal to [110]
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Cubic P, section of reciprocal lattice normal to [111]
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For 100 keV accelerating voltage, the wavelength of electrons is 0
For 100 keV accelerating voltage, the wavelength of electrons is nm. If the d spacing is 0.2 nm, then the Bragg angle is just 0.5° Ewald sphere has a large diameter in reciprocal space.
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Cubic P Cubic F
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Cubic P Cubic F
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Cubic P Cubic F
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Lattice: face-centred cubic Motif: Si at 0,0,0 Si at 1/4,1/4,1/4
3/4 1/4 3/4 1/4 3/4 1/4 3/4 1/4 Lattice: face-centred cubic Motif: Si at 0,0,0 Si at 1/4,1/4,1/4
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diffraction from thin crystals
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100 nm thick foil 20 nm thick foil
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[111] [ ]
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(R. Herring)
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