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]]). | ||
| − | == | + | ==Contributions== |
The [[scattering intensity]] is frequently divided into the contribution from the [[form factor]] (''F'') and structure factor (''S''): | The [[scattering intensity]] is frequently divided into the contribution from the [[form factor]] (''F'') and structure factor (''S''): | ||
:<math> | :<math> | ||
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\end{alignat} | \end{alignat} | ||
</math> | </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.). | + | The form factor describes the ''shape'' of scattering objects, whereas the structure factor describes the organization of these objects (disordered, in a [[lattice]], etc.). The scattering intensity, <math>\scriptstyle I(q)</math>, is what is measured experimentally on a [[detector]] (including a possible [[background]]). However, this quantify is frequently converted into (or treated as), <math>\scriptstyle P(q)</math> or <math>\scriptstyle S(q)</math>, in order to perform further analysis. |
==See Also== | ==See Also== | ||
* [[Form Factor]] | * [[Form Factor]] | ||
* [[Structure Factor]] | * [[Structure Factor]] | ||
Revision as of 17:51, 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 Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \scriptstyle I(q)} , where q is the momentum transfer (a vector in reciprocal-space).
Contributions
The scattering intensity is frequently divided into the contribution from the form factor (F) and structure factor (S):
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \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} }
The form factor describes the shape of scattering objects, whereas the structure factor describes the organization of these objects (disordered, in a lattice, etc.). The scattering intensity, Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \scriptstyle I(q)} , is what is measured experimentally on a detector (including a possible background). However, this quantify is frequently converted into (or treated as), Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \scriptstyle P(q)} or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \scriptstyle S(q)} , in order to perform further analysis.
