Fourier transform (see Cowley Sect. 2.2)
Fourier transform (see Cowley Sect. 2.2)
Fourier transform (see Cowley Sect. 2.2)
Fourier transform (see Cowley Sect. 2.2)
Fourier transform
Fourier transform
Fourier transform
Fourier transform
Scattering of x-rays by single electron (Thomson) (see Cowley sect. 4.1)
Scattering of x-rays by single electron (Thomson) (see Cowley sect. 4.1)
Scattering of x-rays by single electron (Thomson)
Scattering of x-rays by single electron (Thomson)
Scattering of x-rays by single atom For n electrons in an atom, time-averaged electron density is
Scattering of x-rays by single atom For n electrons in an atom, time-averaged electron density is Can define an atomic scattering factor
Scattering of x-rays by single atom For n electrons in an atom, time-averaged electron density is Can define an atomic scattering factor For spherical atoms
Scattering of x-rays by single atom Need to find (r) …. A QM problem But soln for f() looks like this (in electron scattering units)
Dispersion - anomalous scattering Have assumed radiation frequency >> resonant frequency of electrons in atom … frequently not true
Dispersion - anomalous scattering Have assumed radiation frequency >> resonant frequency of electrons in atom … frequently not true Need to correct scattering factors f = fo + f' + i f"
Dispersion - anomalous scattering Need to correct scattering factors f = fo + f' + i f" 5 f" 1 2 K f'
Atom assemblies (see Cowley sect. 5.1)
For this electron density, there is a Fourier transform Atom assemblies (see Cowley sect. 5.1) For this electron density, there is a Fourier transform F(u) is a fcn in reciprocal space
Atom assemblies (see Cowley sect. 5.1)
Atom assemblies
Atom assemblies For single slit, width a & g(x) = 1 If scatterer is a box a, b, c
Atom assemblies For single slit, width a & g(x) = 1 If scatterer is a box a, b, c For periodic array of zero-wiidth slits
Atom assemblies This requires ua = h, an integer. Then Finally
Atom assemblies This requires ua = h, an integer. Then Finally