| 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. Thus this is a variation of the core-shell bicelle model, but with an elliptical cylinder for the core. Outer shells… |
| 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
$$ \begin{align*} I(q) = \text{scale} \times P(q)S(q) + \text{background} \\ P… |
| Core Multi Shell |
Definition
This model is a trivial extension of the CoreShell function to a larger number of shells. The scattering length density profile for the default sld values (w/ 4 shells).
SLD profile of the core_multi_shell object from the … |
| Core Shell Sphere |
.. _core_shell_sphere:
This model provides the form factor, $P(q)$, for a spherical particle with a core-shell structure. The form factor is normalized by the particle volume.
For information about polarised and magnetic scattering, see the `m… |
| Hollow Rectangular Prism Thin Walls |
# rectangular_prism model # Note: model title and parameter table are inserted automatically Definition
This model provides the form factor, $P(q)$, for a hollow rectangular prism with infinitely thin walls. It computes only the 1D scatteri… |
| Mono Gauss Coil |
#mono_gauss_coil model #conversion of DebyeModel.py #converted by Steve King, Mar 2016 This Debye Gaussian coil model strictly describes the scattering from *monodisperse* polymer chains in theta solvents or polymer melts, conditions under which the… |
| Elliptical Cylinder |
Elliptical cylinder geometry $a = r_\text{minor}$ and $\nu = r_\text{major} / r_\text{minor}$ is the axis ratio.
The function calculated is
$$ I(\vec q)=\frac{1}{V_\text{cyl}}\int{d\psi}\int{d\phi}\int{ p(\theta,\phi,\psi)F^2(\vec q,\alp… |
| 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 fits the Porod function
$$ I(q) = C/q^4
$$
to the data directly without any need for linearisation (cf. Log I(q) vs Log q).
Here $C = 2\pi (\Delta\rho)^2 S_v$ is the scale factor where $S_v$ is the specific surface area (ie, surfac… |
| Guinier Porod |
Calculates the scattering for a generalized Guinier/power law object. This is an empirical model that can be used to determine the size and dimensionality of scattering objects, including asymmetric objects such as rods or platelets, and shapes inte… |