| Prism |
This model provides the form factor for a right prism whose cross-section is a regular polygon. Orientation averaging is done by using the Fibonacci quadrature. This quadrature provides a quasi-uniform distribution of points on the unit sphere usin… |
| Truncated Octahedron |
# truncated_octahedron model # Note: model title and parameter table are inserted automatically This model provides the form factor P(q) for a general octahedron. It can be a regular octahedron, with all edges of equal length. Or a general shape wit… |
| Tetrahedron |
This model provides the form factor for regular tetrahedrons. Orientation averaging is done by using the Fibonacci quadrature. This quadrature provides a quasi-uniform distribution of points on the unit sphere using the golden ratio. The number of p… |
| Micromagnetic Ff 3D |
Definition
This model is a micromagnetic approach to analyse the SANS that arises from nanoscale variations in the magnitude and orientation of the magnetization in bulk ferromagnets in the approach to magnetic saturation (single domain state). T… |
| Truncated Tetrahedron |
This model provides the form factor for truncated tetrahedrons. Orientation averaging is done by using the Fibonacci quadrature. This quadrature provides a quasi-uniform distribution of points on the unit sphere using the golden ratio. The number of… |
| Two Yukawa |
This model calculates the structure factor, $S(q)$, of one-component liquid systems interacting with a two-term Yukawa potential with the mean spherical approximation (MSA) by solving the Ornstein-Zernike (OZ) equation. Both Yukawa terms can be used… |
| Superball |
# superball model # Note: model title and parameter table are inserted automatically Definition
Superball visualisation for varied values of the parameter p.
This model calculates the scattering of a superball, which represents a cube… |
| Core Shell Bicelle Elliptical Belt Rough |
Definition
This model provides the form factor for an elliptical cylinder with a core-shell scattering length density profile [#Onsager1949]_. Thus this is a variation of the core-shell bicelle model, but with an elliptical cylinder for the co… |
| Bcc Paracrystal |
Definition
Calculates the scattering from a **body-centered cubic lattice** with paracrystalline distortion. Thermal vibrations are considered to be negligible, and the size of the paracrystal is infinitely large. Paracrystalline distortion is… |
| Line |
This model calculates intensity using simple linear function
Definition
The scattering intensity $I(q)$ is calculated as
$$ I(q) = \text{scale} (A + B \cdot q) + \text{background}
$$
.. note:: For 2D plots intensity has different d… |
| Parallelepiped |
# parallelepiped model # Note: model title and parameter table are inserted automatically Definition
This model calculates the scattering from a rectangular solid (`parallelepiped-image`). If you need to apply polydispersity, see also `rectang… |
| Guinier |
Definition
This model fits the Guinier function
$$ I(q) = \text{scale} \cdot \exp{\left[ \frac{-Q^2 R_g^2 }{3} \right]} + \text{background}
$$
to the data directly without any need for linearization (*cf*. the usual plot of $\ln I(q)$ vs … |
| Cylinder |
# cylinder model # Note: model title and parameter table are inserted automatically
For information about polarised and magnetic scattering, see the `magnetism` documentation.
Definition
The output of the 2D scattering intensity function… |
| Two Power Law |
Definition
The scattering intensity $I(q)$ is calculated as
$$ I(q) = \begin{cases} A q^{-m1} + \text{background} & q <= q_c \\ C q^{-m2} + \text{background} & q > q_c \end{cases}
$$
where $q_c$ = the location of the crossover from one sl… |
| Pringle |
Definition
The form factor for this bent disc is essentially that of a hyperbolic paraboloid and calculated as
$$ P(q) = (\Delta \rho )^2 V \int^{\pi/2}_0 d\psi \sin{\psi} sinc^2 \left( \frac{qd\cos{\psi}}{2} \right) \left[ \left( S^2_0+C^… |