| 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
$$ P(q) = (\Delta \rho )^2 V \int^{\pi/2}_0 d\psi \sin{\psi} sinc^2 \left( \frac{qd\cos{\psi}}{2} \right) \left[ \left( S^2_0+C^… |
| Linear Pearls |
This model provides the form factor for $N$ spherical pearls of radius $R$ linearly joined by short strings (or segment length or edge separation) $l$ $(= A - 2R)$. $A$ is the center-to-center pearl separation distance. The thickness of each string … |
| Polymer Micelle |
This model provides the form factor, $P(q)$, for a micelle with a spherical core and Gaussian polymer chains attached to the surface, thus may be applied to block copolymer micelles. To work well the Gaussian chains must be much smaller than the … |
| Lorentz |
Lorentz (Ornstein-Zernicke Model)
Definition
The Ornstein-Zernicke model is defined by
$$ I(q)=\frac{\text{scale}}{1+(qL)^2}+\text{background}
$$
The parameter $L$ is the screening length *cor_length*.
For 2D data the scattering inte… |
| Fcc Paracrystal |
#fcc paracrystal model #note model title and parameter table are automatically inserted #note - calculation requires double precision Definition
Calculates the scattering from a **face-centered cubic lattice** with paracrystalline distortion. … |
| Raspberry |
Definition
The figure below shows a schematic of a large droplet surrounded by several smaller particles forming a structure similar to that of Pickering emulsions.
Schematic of the raspberry model
In order to calculate the form f… |
| Onion |
This model provides the form factor, $P(q)$, for a multi-shell sphere where the scattering length density (SLD) of each shell is described by an exponential, linear, or constant function. The form factor is normalized by the volume of the sphere whe… |