BornAgain-git-main Prism6

Prism6

A prism based on regular hexagon.

Constructor

Prism6(L, H)

Parameters:

R, edge of the regular hexagonal base
H, height

Usage

As for any other Form factor.

Implementation

Class Prism6 inherits from the interface class IFormfactor.

Form factor is computed as

$F (q) = H \exp (i q_{z} \frac{H}{2}) sinc (q_{z} \frac{H}{2}) F_{| |} (q_{| |})$

where the form factor $F_{| |} (q_{| |})$ computation is based on the generic form factor of a planar polygon with two-fold symmetry $(S_{2})$ provided by libformfactor .

Volume has been validated against $V = \frac{3 \sqrt{3}}{2} H R^{2} .$

More general:

Pyramid6, if sides are not vertical.

Example

Scattering by uncorrelated, oriented prisms for horizontal incidence. Rotation around $z$ axis:

Generated by Examples/ff/Prism3.py .

History

Has been validated against the “Prism6” form factor of IsGISAXS [manual, Eq. 2.30] and “Prism with six fold symmetry” [Renaud 2009, Eq. 221], which has different parametrization and lacks a factor $H$ in $F (q)$ . Reimplemented in BornAgain 1.6 using the generic form factor of a polygonal prism with symmetry $S_{2}$ [Wuttke 2021] to achieve numerical stability near the removable singularity at $q \to 0$ .

Introduction
- Functionality overview
- Architectural overview

Install or build

Graphical user interface

Python scripting

Reference

Literature

How to

Developers' corner
- Configure
  - Build
  - Pyenv
- Develop
- Release
  - Manual GUI test