| 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. Take special care before use and read both of the provided refe… |
| 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… |
| 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… |