Core shell cuboid

Description:

Output:
P(q) = \frac{\text{scale}}{V_{cs}} \int_{0}^{\pi}\int_{0}^{2\pi} f^2(q,\theta_Q,\phi_Q) \sin(\theta_Q) d\theta_Q d\phi_Q + \text{background}

where
f(q,\theta_Q,\phi_Q) = ( \rho_{c}-\rho_{sh} ) \prod_{j=1}^3 [ 2 * L/2 * sinc(Q_j*L/2) ] + ( \rho_{sh}-\rho_{solv} ) * \prod_{j=1}^3 [ 2 * (L/2+d) * sinc(Q_j*(L/2+d)) ]

where
sinc(x) = \sin(x) / x

Q_1 = Q \sin(\theta_Q) \cos(\phi_Q)
Q_2 = Q \sin(\theta_Q) \sin(\phi_Q)
Q_3 = Q \cos(\theta_Q)

Parameters:
scale = scaling factor, volume fraction of particles scale phi ~ N V_{cs} / V_{irr}, with N / V_{irr} being the number density of particles in the irradiated volume
background = const. background
L = length of the cuboid
d = shell thickness
\rho_{c} = scattering length density of core
\rho_{sh} = scattering length density of shell
\rho_{solv} = scattering length density of solvent
V_{cs} = volume of core-shell cuboid

Intensity is very similar to the faster core-shell sphere model, especially when using polydispersity. Model can easily be generalized for anisotropic lengths.

Details:

 Created By p3scmr Uploaded Aug. 2, 2019, 6:27 p.m. Category Parallelepiped Score 0 Verified This model has not been verified by a member of the SasView team In Library This model is not currently included in the SasView library. You must download the files and install it yourself. Files core_shell_cuboid.c core_shell_cuboid.py