Difference between revisions of "Scattering intensity"
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The '''scattering intensity''' is the amount of radiation (e.g. [[x-ray]] or [[neutron]]) [[scattering|scattered]] at any particular angle. This quantity is usually given by <math>\scriptstyle I(q)</math>, where ''q'' is the [[momentum transfer]] (a vector in [[reciprocal-space]]). | The '''scattering intensity''' is the amount of radiation (e.g. [[x-ray]] or [[neutron]]) [[scattering|scattered]] at any particular angle. This quantity is usually given by <math>\scriptstyle I(q)</math>, where ''q'' is the [[momentum transfer]] (a vector in [[reciprocal-space]]). | ||
| + | |||
| + | ==Mathematics== | ||
| + | The [[scattering intensity]] is frequently divided into the contribution from the [[form factor]] (''F'') and structure factor (''S''): | ||
| + | :<math> | ||
| + | \begin{alignat}{2} | ||
| + | I(q) & = \langle |F(\mathbf{q})|^2 S(\mathbf{q}) \rangle \\ | ||
| + | & = P(q) \left\langle \frac{|F(\mathbf{q})|^2}{P(q)} S(\mathbf{q}) \right\rangle \\ | ||
| + | & = P(q)S(q) | ||
| + | \end{alignat} | ||
| + | </math> | ||
| + | The form factor describes the ''shape'' of scattering objects, whereas the structure factor describes the organization of these objects (disordered, in a [[lattice]], etc.). | ||
==See Also== | ==See Also== | ||
* [[Form Factor]] | * [[Form Factor]] | ||
* [[Structure Factor]] | * [[Structure Factor]] | ||
Revision as of 17:49, 14 January 2015
The scattering intensity is the amount of radiation (e.g. x-ray or neutron) scattered at any particular angle. This quantity is usually given by , where q is the momentum transfer (a vector in reciprocal-space).
Mathematics
The scattering intensity is frequently divided into the contribution from the form factor (F) and structure factor (S):
The form factor describes the shape of scattering objects, whereas the structure factor describes the organization of these objects (disordered, in a lattice, etc.).
