Lect25_notes

The arrangement of the atoms in the crystal the

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Unformatted text preview: diffracting power of the atoms present – the atomic scattering factor! •  The arrangement of the atoms in the crystal – the structure factor! •  The thermal vibrations of the atoms – the temperature factor! •  The polarization of the beam of radiation! •  The thickness, shape and perfection of the crystal – the form factor! •  For diffraction from a powder rather than a single crystal, the number of equivalent (hkl) planes present – the multiplicity! ! ! ! ! ! CBEMS 164 – XRD, SEM & Microanalysis: Lecture 25 ! 15 Intensities of X-ray Diffracted Beams! The total measured intensity:! ! ! ! ! absorption ! factor multiplicity ! 2 phkl L p θ A θ e−2 M I hkl = Fhkl ! temperature ! structure ( Lorentz ) factor factor polarization ! factor ! ! ! ! The Structure Factor:! ! ! N N ⎛ sin θ hkl ⎞ 2 π i ghkl irj ⎛ sin θ hkl ⎞ 2 π i ( hx j +ky j +lz j ) ! fj ⎜ = fj ⎜ e Fhkl = ⎟e ! ⎝ λ ⎠ ⎝ λ ⎟ ⎠ j =1 j=1 ! ( ) ∑ ( ) ∑ CBEMS 164 – XRD, SEM & Microanalysis: Lectu...
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