Lect25_notes

The total measured intensity absorption factor

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Unformatted text preview: re 25 ! 16 Intensities of X-ray Diffracted Beams! !The multiplicity:! !! ! ! ! ! CBEMS 164 – XRD, SEM & Microanalysis: Lecture 25 ! 17 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:! ! eπ i = e 3π i = e5 π i = −1 ! N ! 2 π i g ir e2 π i = e 4 π i = e6 π i = 1 f j e hkl j Fhkl = ! j=1 n ! enπ i = −1 ( ) ∑ = ∑ fj e ( N j=1 2 π i hx j +ky j +lz j ) ( ) ( ) enπ i = e− nπ i eix + e−ix = 2 cos x CBEMS 164 – XRD, SEM & Microanalysis: Lecture 25 ! 18 Lorentz Polarization Factor! The total measured intensity:! ! ! absorption ! factor multiplicity ! 2 p L p θ A θ e−2 M I hkl = Fhkl ! hkl temperature ! structure ( Lorentz ) factor factor polarization ! factor ! ! ! ! The Lorentz-Polarization Factor:! ! ! 1+ cos 2 2θ ! LP = 2 ! sin θ cosθ ! ( ) ( ) CBEMS 164 – XRD, SEM &am...
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This note was uploaded on 01/16/2014 for the course CBEMS 164 taught by Professor Porter,j during the Fall '08 term at UC Irvine.

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