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X-RAY SCATTERINGFROM ATOMS TO COMPLEX SYSTEMS
Giulio Ungaretti
-EXPERIMENTAL X-RAY PHYSICS EXAM -19/7/2013
1 /11
Wednesday, June 19, 13
Outline
•Simple models
•Adding complexities
•Real life examples
Slides and blackboard
2 /11
Wednesday, June 19, 13
Atomic scattering
3 /11
f0
(Q) =
Z
⇢(r)iQ·r
d3
r
Wednesday, June 19, 13
Molecular scattering
4 /11
fmol
(Q) =
X
j
fj(r)eiQ·rj
Wednesday, June 19, 13
Molecular scattering II
and, more generally:
5 /11
ISAXS
(Q) / ⇢2
P(Q)S(Q)even more:
ISAXS
(Q) / ⇢2
P(Q)
I(Q) = Nf(Q)2
+ f(Q)2
X
n
Z
V ol
(⇢(rn rm) ⇢average)eiQ·(rn rm
)dV +
| {z }
short range
+ f(Q)2
X
n
Z
V ol
⇢averageeiQ·(rn rm)
dV
| {z }
SAXS
Wednesday, June 19, 13
Adding complexities
• Poly disperse systems
• Complex structures
• Dynamical diffraction
6 /11
Wednesday, June 19, 13
Real life examples I:
kr scattering
7 /11
Wednesday, June 19, 13
Real life examples II:
CF4 molecule
Unexpected
attenuation !!!!!! explian
alluminum shit
8 /11
Wednesday, June 19, 13
Real life examples III:
SAXS(ish)-milk fat
9 /11
Wednesday, June 19, 13
Real life examples III:
WAXS milk fat
10 /11
Wednesday, June 19, 13
Conclusions
•Powerful structural tool
•Can use simple models
•Versatile method
11/11
Wednesday, June 19, 13

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X ray scattering