| Pearl Necklace |
This model provides the form factor for a pearl necklace composed of two elements: *N* pearls (homogeneous spheres of radius *R*) freely jointed by *M* rods (like strings - with a total mass *Mw* = *M* \* *m*`r` + *N* \* *m*\ `s`, and the string seg… |
| Sc Paracrystal |
Definition
Calculates the scattering from a **simple cubic lattice** with paracrystalline distortion. Thermal vibrations are considered to be negligible, and the size of the paracrystal is infinitely large. Paracrystalline distortion is assume… |
| Lamellar |
Polydispersity in the bilayer thickness can be applied from the GUI.
Definition
The scattering intensity $I(q)$ for dilute, randomly oriented, "infinitely large" sheets or lamellae is
$$ I(q) = \text{scale}\frac{2\pi P(q)}{q^2\delta} + … |
| Polymer Excl Volume |
This model describes the scattering from polymer chains subject to excluded volume effects and has been used as a template for describing mass fractals.
Definition
The form factor was originally presented in the following integral form (Ben… |
| Mass Fractal |
Calculates the scattering from fractal-like aggregates based on the Mildner reference.
Definition
The scattering intensity $I(q)$ is calculated as
$$ I(q) = scale \times P(q)S(q) + background
$$
$$ P(q) = F(qR)^2
$$
$$ F(x) = \frac{… |
| Flexible Cylinder |
This model provides the form factor, $P(q)$, for a flexible cylinder where the form factor is normalized by the volume of the cylinder. **Inter-cylinder interactions are NOT provided for.**
$$ P(q) = \text{scale} \left<F^2\right>/V + \text{backg… |
| Be Polyelectrolyte |
.. note:: Please read the Validation section below.
Definition
This model calculates the structure factor of a polyelectrolyte solution with the RPA expression derived by Borue and Erukhimovich. Note however that the fitting procedure here do… |
| Lamellar Stack Caille |
This model provides the scattering intensity, $I(q) = P(q) S(q)$, for a lamellar phase where a random distribution in solution are assumed. Here a Caille $S(q)$ is used for the lamellar stacks.
Definition
The scattering intensity $I(q)$ is … |
| Star Polymer |
Definition
Calcuates the scattering from a simple star polymer with f equal Gaussian coil arms. A star being defined as a branched polymer with all the branches emanating from a common central (in the case of this model) point. It is derived … |
| Dab |
Calculates the scattering from a randomly distributed, two-phase system based on the Debye-Anderson-Brumberger (DAB) model for such systems. The two-phase system is characterized by a single length scale, the correlation length, which is a measure o… |
| Flexible Cylinder Elliptical |
This model calculates the form factor for a flexible cylinder with an elliptical cross section and a uniform scattering length density. The non-negligible diameter of the cylinder is included by accounting for excluded volume interactions within the… |
| Poly Gauss Coil |
#poly_gauss_coil model #conversion of Poly_GaussCoil.py #converted by Steve King, Mar 2016 This empirical model describes the scattering from *polydisperse* polymer chains in theta solvents or polymer melts, assuming a Schulz-Zimm type molecular wei… |
| Fractal Core Shell |
Definition
Calculates the scattering from a fractal structure with a primary building block of core-shell spheres, as opposed to just homogeneous spheres in the fractal model. It is an extension of the well known Teixeira[#Teixeira1988]_ fractal … |
| Core Shell Ellipsoid |
Definition
Parameters for this model are the core axial ratio $X_{core}$ and a shell thickness $t_{shell}$, which are more often what we would like to determine and make the model better behaved, particularly when polydispersity is applied, th… |
| Mass Surface Fractal |
A number of natural and commercial processes form high-surface area materials as a result of the vapour-phase aggregation of primary particles. Examples of such materials include soots, aerosols, and fume or pyrogenic silicas. These are all chara… |