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Name Description
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 relationshi...
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 ( $a1$ ) to describe the r...
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 ...
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 reasona...
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 th...
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...
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-compo...
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 t...
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 lyi...
Fractal Definition This model calculates the scattering from fractal-like aggregates of spherical building blocks according the following equation: $$I(q) = \phi\ V_\text{block} (\rho_\text{block} - \rho_\text{solvent})^2 P(q)S(q) + \text{backgrou... Sphere For information about polarised and magnetic scattering, see the magnetism documentation. Definition The 1D scattering intensity is calculated in the following way (Guinier, 1955)$$ I(q) = \frac{\text{scale}}{V} \cdot \left[ 3V(\De...
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 len...
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...
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 ...
Rectangular Prism # rectangular_prism model # Note: model title and parameter table are inserted automatically This model provides the form factor, $P(q)$, for a rectangular prism. Note that this model is almost totally equivalent to the existing `parallelepi...
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