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An Introduction to Neutron Scattering - Spallation Neutron Source

An Introduction to Neutron Scattering - Spallation Neutron Source

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The Study of Diffuse <strong>Scattering</strong> From Rough Surfaces Has<br />

Not Made Much Headway Because Interpretation Is Difficult<br />

The theory (Dis<strong>to</strong>rted Wave<br />

2 2<br />

from a rough surface, works in some cases but breaks down when ξ / k >> 1,<br />

where ξ is the range of<br />

In some<br />

cases (e.g. faceted surfaces) one would also expect the approximation<br />

using an " average<br />

Born Approximation)<br />

correlations<br />

in thesurface<br />

surface" wavefunction<br />

used <strong>to</strong> describe scattering<br />

for perturbation<br />

theory<br />

R<br />

R<br />

micro−rough<br />

facet<br />

=<br />

R<br />

k z<br />

of<br />

<strong>to</strong> break down.<br />

=<br />

R<br />

smooth<br />

smooth<br />

e<br />

−2<br />

k<br />

2<br />

0<br />

s<br />

e<br />

2<br />

−2k<br />

t<br />

0k1<br />

s<br />

a<br />

2

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