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 len... |
Shape-Independent |
07 Sep 2017 |
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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-center... |
Paracrystal |
07 Sep 2017 |
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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... |
Sphere |
07 Sep 2017 |
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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 ... |
Sphere |
07 Sep 2017 |
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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
$$ I(q) = \text{scale... |
Shape-Independent |
07 Sep 2017 |
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Squarewell |
# Note: model title and parameter table are inserted automatically Calculates the interparticle structure factor for a hard sphere fluid with a narrow, attractive, square well potential. **The Mean... |
Structure Factor |
07 Sep 2017 |
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Gel Fit |
*This model was implemented by an interested user!*
Unlike a concentrated polymer solution, the fine-scale polymer distribution in a gel involves at least two characteristic length scales, a sho... |
Shape-Independent |
07 Sep 2017 |
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Peak Lorentz |
This model describes a Lorentzian shaped peak on a flat background.
Definition
The scattering intensity $I(q)$ is calculated as
$$ I(q) = \frac{scale}{\bigl(1+\bigl(\frac{q-q_0}{B}\big... |
Shape-Independent |
07 Sep 2017 |
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Hardsphere |
# Note: model title and parameter table are inserted automatically Calculates the interparticle structure factor for monodisperse spherical particles interacting through hard sphere (excluded volum... |
Structure Factor |
07 Sep 2017 |
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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... |
Parallelepiped |
07 Sep 2017 |
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Correlation Length |
#correlation length model # Note: model title and parameter table are inserted automatically Definition
The scattering intensity I(q) is calculated as
$$ I(Q) = \frac{A}{Q^n} + \frac{C}{1 ... |
Shape-Independent |
07 Sep 2017 |
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Binary Hard Sphere |
Definition
The binary hard sphere model provides the scattering intensity, for binary mixture of hard spheres including hard sphere interaction between those particles, using rhw Percus-Yevic... |
Sphere |
07 Sep 2017 |
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Core Shell Bicelle |
Definition
This model provides the form factor for a circular cylinder with a core-shell scattering length density profile. Thus this is a variation of a core-shell cylinder or disc where the... |
Cylinder |
07 Sep 2017 |
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Capped Cylinder |
Definitions
Calculates the scattering from a cylinder with spherical section end-caps. Like `barbell`, this is a sphereocylinder with end caps that have a radius larger than that of the cylin... |
Cylinder |
07 Sep 2017 |
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Fractal |
Definition
This model calculates the scattering from fractal-like aggregates of spherical building blocks according the following equation:
$$ I(q) = \phi\ V_\text{block} (\rho_\text{block} ... |
Shape-Independent |
07 Sep 2017 |
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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)
$$ ... |
Sphere |
07 Sep 2017 |
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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 char... |
Shape-Independent |
07 Sep 2017 |
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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 wi... |
Parallelepiped |
07 Sep 2017 |
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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 a... |
Lamellae |
07 Sep 2017 |
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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 almo... |
Parallelepiped |
07 Sep 2017 |
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