Scattering intensity

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).

Mathematics

The scattering intensity is frequently divided into the contribution from the form factor (F) and structure factor (S):

${\begin{alignedat}{2}I(q)&=\langle |F(\mathbf {q} )|^{2}S(\mathbf {q} )\rangle \\&=P(q)\left\langle {\frac {|F(\mathbf {q} )|^{2}}{P(q)}}S(\mathbf {q} )\right\rangle \\&=P(q)S(q)\end{alignedat}}$

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

• Form Factor
• Structure Factor