Small-angle X-ray scattering - Hasylab - Desy

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$Grazing Incidence X-ray Diffraction - Hasylab$

Two-phase approximation • Only mean electron density difference counts B A (vacuum) Absorption Anomalous scattering factors Intensity (log scale) Conclusion: f’’ Pink atoms are distributed homogeneously into one phase (in small-angle scattering)! f’ Energy Absorption edge of pink element I(E1) I(E2) I(E1) - I(E2) Scattering angle (log scale) Intensity ∝ |ρB (E) - ρA | Real space Fourier space 2 Atomic scattering factor Z + f’(E) + if’’(E)
Three or more phases • One more phase now ASAXS can help S bb S pp S bp B A (vacuum) Absorption Anomalous scattering factors Energy f’’ f’ Intensity (log scale) Absorption edge of pink element I(E1) I(E2) I(E1) - I(E2) Scattering angle (log scale) Intensity(E) = Spp (E) + Sbp (E) + Sbb Real space Fourier space Partial structure factors Assumption: Atoms in phase B have constant f (no absorption edge at this energy)!
Page 1 and 2: The very basics of Small-angle X-ra
Page 4 and 5: 20 40 60 80 Small is big & big is s
Page 6 and 7: Oriented samples (example) Organocl
Page 8 and 9: Example of a SAXS beamline, B1 SAXS
Page 10 and 11: 0 200 400 600 800 Scattering from a
Page 12 and 13: Intensity (arbitrary units) 10 10 1
Page 14 and 15: Surface fractal Koch snowflake, sur
Page 16 and 17: Form factor & structure factor of p
Page 18 and 19: Scattering from particles Distance
Page 20 and 21: N(R) = number size distribution R =
Page 22 and 23: Example: Ontime chemistry at beamli
Page 24 and 25: Example: Spinodal decomposition in
Page 28 and 29: Lignosulfonate, the brown stuff in
Page 30 and 31: SAXS beamlines at DORIS III • SAX
Page 32: Programs to analyze SAXS data But b

Small-angle X-ray scattering - Hasylab - Desy

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