| Spherical Sld |
Definition
Similarly to the onion, this model provides the form factor, $P(q)$, for a multi-shell sphere, where the interface between the each neighboring shells can be described by the error function, power-law, or exponential functions. The… |
| Gauss Lorentz Gel |
This model calculates the scattering from a gel structure, but typically a physical rather than chemical network. It is modeled as a sum of a low-q exponential decay (which happens to give a functional form similar to Guinier scattering, so interpre… |
| Core Shell Bicelle Elliptical |
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… |
| Triaxial Ellipsoid |
# triaxial ellipsoid model # Note: model title and parameter table are inserted automatically Definition
Ellipsoid with $R_a$ as *radius_equat_minor*, $R_b$ as *radius_equat_major* and $R_c$ as *radius_polar*.
Given an ellipsoid … |
| Adsorbed Layer |
Definition
This model describes the scattering from a layer of surfactant or polymer adsorbed on large, smooth, notionally spherical particles under the conditions that (i) the particles (cores) are contrast-matched to the dispersion medium, (… |
| Two Lorentzian |
Definition
The scattering intensity $I(q)$ is calculated as
$$ I(q) = \frac{A}{1 +(Q\xi_1)^n} + \frac{C}{1 +(Q\xi_2)^m} + \text{B}
$$
where $A$ = Lorentzian scale factor #1, $C$ = Lorentzian scale #2, $\xi_1$ and $\xi_2$ are the correspon… |
| Vesicle |
Definition
This model provides the form factor, *P(q)*, for an unilamellar vesicle and is effectively identical to the hollow sphere reparameterized to be more intuitive for a vesicle and normalizing the form factor by the volume of the shell.… |
| Surface Fractal |
This model calculates the scattering from fractal-like aggregates based on the Mildner reference.
Definition
The scattering intensity $I(q)$ is calculated as
$$ \begin{align*} I(q) = \text{scale} \times P(q)S(q) + \text{background} \\ P… |
| Core Multi Shell |
Definition
This model is a trivial extension of the CoreShell function to a larger number of shells. The scattering length density profile for the default sld values (w/ 4 shells).
SLD profile of the core_multi_shell object from the … |
| Core Shell Sphere |
.. _core_shell_sphere:
This model provides the form factor, $P(q)$, for a spherical particle with a core-shell structure. The form factor is normalized by the particle volume.
For information about polarised and magnetic scattering, see the `m… |
| Hollow Rectangular Prism Thin Walls |
# rectangular_prism model # Note: model title and parameter table are inserted automatically Definition
This model provides the form factor, $P(q)$, for a hollow rectangular prism with infinitely thin walls. It computes only the 1D scattering, no… |
| Mono Gauss Coil |
#mono_gauss_coil model #conversion of DebyeModel.py #converted by Steve King, Mar 2016 This Debye Gaussian coil model strictly describes the scattering from *monodisperse* polymer chains in theta solvents or polymer melts, conditions under which the… |
| Elliptical Cylinder |
# pylint: disable=line-too-long
Elliptical cylinder geometry $a = r_\text{minor}$ and $\nu = r_\text{major} / r_\text{minor}$ is the *axis_ratio*.
The function calculated is
$$ I(\vec q)=\frac{1}{V_\text{cyl}}\int{d\psi}\int{d\phi… |
| Fuzzy Sphere |
For information about polarised and magnetic scattering, see the `magnetism` documentation.
Definition
The scattering intensity $I(q)$ is calculated as:
$$ I(q) = \frac{\text{scale}}{V}(\Delta \rho)^2 A^2(q) S(q) + \text{background}
$$… |
| Porod |
This model is a special case of the power law model, deriving its special name from the Porod Law which it models, where the power law exponent is fixed to -4.
$$ I(q) = C/q^4 + Background
$$
Where the power law constant $C$ in this case is just… |