BornAgain
≻ git-main
≻ Documentation ≻ Reference ≻ Sample model ≻ Particles ≻ Form factor ≻ Hard particles ≻ Box
BornAgain
≻ git-main
≻ Documentation ≻ Reference ≻ Sample model ≻ Particles ≻ Form factor ≻ Hard particles ≻ Box
A rectangular cuboid.
Box(L, W, H)
Parameters:
As for any other Form factor.
Class Box inherits from the interface class IFormfactor .
Form factor is computed as $$F(\mathbf{q})=LWH \space \exp\Big(iq_{z}\dfrac{H}{2}\Big) \space \text{sinc}\Big(q_{x}\dfrac{L}{2}\Big) \space \text{sinc}\Big(q_{y}\dfrac{W}{2}\Big) \space \text{sinc}\Big(q_{z}\dfrac{H}{2}\Big).$$
Volume has been validated against $$V=LWH.$$
More general:
More special:
Modified cubes:
Scattering by uncorrelated, oriented boxes for horizontal incidence. Rotation around $z$ axis:
Generated by Examples/ff/Box.py .
Agrees with “Box” form factor of IsGISAXS [manual, Eq. 2.37; Renaud 2009, Eq. 214], except for factors $1/2$ in the definition of parameters $L,\space W,\space H$.