Summary what you must know about scattering
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Summary: what you must know about scattering. . A plane wave:. Phase fronts (planes of equal phase). Point scatter:. Scattering vector. Point scatters:. Continuous medium:. Form factor scattering. Independent scatterers:. Form factor scattering An example: a uniform sphere. .

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Summary: what you must know about scattering

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Summary what you must know about scattering

Summary: what you must know about scattering


A plane wave

A plane wave:

Phase fronts (planes of equal phase)


Point scatter

Point scatter:

Scattering vector


Point scatters

Point scatters:


Continuous medium

Continuous medium:


Form factor scattering

Form factor scattering

Independent scatterers:


Form factor scattering an example a uniform sphere

Form factor scatteringAn example: a uniform sphere


Form factor scattering an example a uniform sphere1

Form factor scatteringAn example: a uniform sphere

In reality:


Form factor scattering an example a uniform sphere2

Form factor scatteringAn example: a uniform sphere

Guinier range:

I(K)  exp(-RgK)2/3)

LOG-LOG plot:

Porod range:

I(K)  A/K4

total surface area


Experimental form factor

2p/d

experimental Form Factor

4 orders of magnitude variation

Dangerous region


Form factor scattering more examples disks rods

‘1D object’

orientational average

‘2D object’

Form factor scatteringMore examples: disks & rods


Form factor scattering more examples dumbbells

Form factor scatteringMore examples: Dumbbells

R = 95 nm

Johnson et al. (Utrecht); published in Langmuir (2005)


Summary what you must know about scattering

  • SANS: structure factor effect in dipolar chains

M. Klokkenburg et al.,

to be published.


Most popular techniques

Most popular techniques

  • Small-angle x-ray scattering (SAXS)

  • Small-angle neutron scattering (SANS)

  • Light scattering

    See slides of the other lecture


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