| Power Law |
#power_law model #conversion of PowerLawAbsModel.py #converted by Steve King, Dec 2015
This model calculates a simple power law with a flat background.
Definition
$$ I(q) = \text{scale} \cdot q^{-\text{power}} + \text{background}
$$
No… |
| Squarewell |
# Note: model title and parameter table are inserted automatically Calculates the interparticle structure factor for a hard sphere fluid with a narrow, attractive, square well potential. **The Mean Spherical Approximation (MSA) closure relationship … |
| Gel Fit |
*This model was implemented by an interested user!*
Unlike a concentrated polymer solution, the fine-scale polymer distribution in a gel involves at least two characteristic length scales, a shorter correlation length ($\xi$) to describe the rapi… |
| Peak Lorentz |
This model describes a Lorentzian shaped peak on a flat background.
Definition
The scattering intensity $I(q)$ is calculated as
$$ I(q) = \frac{scale}{\bigl(1+\bigl(\frac{q-q_0}{B}\bigr)^2\bigr)} + background
$$
with the peak having he… |
| Hardsphere |
# Note: model title and parameter table are inserted automatically Calculates the interparticle structure factor for monodisperse spherical particles interacting through hard sphere (excluded volume) interactions. This $S(q)$ may also be a reasonabl… |
| Core Shell Parallelepiped |
Definition
Calculates the form factor for a rectangular solid with a core-shell structure. The thickness and the scattering length density of the shell or "rim" can be different on each (pair) of faces. The three dimensions of the core of the … |
| Correlation Length |
#correlation length model # Note: model title and parameter table are inserted automatically Definition
The scattering intensity I(q) is calculated as
$$ I(Q) = \frac{A}{Q^n} + \frac{C}{1 + (Q\xi)^m} + \text{background}
$$
The first term d… |
| Binary Hard Sphere |
Definition
The binary hard sphere model provides the scattering intensity, for binary mixture of hard spheres including hard sphere interaction between those particles, using rhw Percus-Yevick closure. The calculation is an exact multi-compone… |
| Core Shell Bicelle |
Definition
This model provides the form factor for a circular cylinder with a core-shell scattering length density profile. Thus this is a variation of a core-shell cylinder or disc where the shell on the walls and ends may be of different thi… |
| Capped Cylinder |
Definitions
Calculates the scattering from a cylinder with spherical section end-caps. Like `barbell`, this is a sphereocylinder with end caps that have a radius larger than that of the cylinder, but with the center of the end cap radius lying… |
| Fractal |
Definition
This model calculates the scattering from fractal-like aggregates of spherical building blocks according the following equation:
$$ I(q) = \phi\ V_\text{block} (\rho_\text{block} - \rho_\text{solvent})^2 P(q)S(q) + \text{background… |
| Sphere |
For information about polarised and magnetic scattering, see the `magnetism` documentation.
Definition
The 1D scattering intensity is calculated in the following way (Guinier, 1955)
$$ I(q) = \frac{\text{scale}}{V} \cdot \left[ 3V(\Delt… |
| Teubner Strey |
Definition
This model calculates the scattered intensity of a two-component system using the Teubner-Strey model. Unlike `dab` this function generates a peak. A two-phase material can be characterised by two length scales - a correlation lengt… |
| Hollow Rectangular Prism |
# rectangular_prism model # Note: model title and parameter table are inserted automatically Definition
This model provides the form factor, $P(q)$, for a hollow rectangular parallelepiped with a wall of thickness $\Delta$. The 1D scattering i… |
| Lamellar Hg |
# Note: model title and parameter table are inserted automatically This model provides the scattering intensity, $I(q)$, for a lyotropic lamellar phase where a random distribution in solution are assumed. The SLD of the head region is taken to be di… |