Wyckoff Positions

2D toy crystal with three occupied Wyckoff positions. The shaded areas illustrate the region of the unit cell the relevant atoms are constrained to lie in by specifying an anonymized Wyckoff position for that atom.
Reproduction of fig. 2 from “Wyckoff Set Regression for Materials Discovery” by Rhys Goodall, adapted from https://pyxtal.readthedocs.io/en/latest/Background.html#wyckoff-positions.

wyckoff-positions

Edit and compile if you like:

% 2D toy crystal with three occupied Wyckoff positions. The shaded areas illustrate the region of the unit cell the relevant atoms are constrained to lie in by specifying an anonymized Wyckoff position for that atom.
% Reproduction of fig. 2 from "Wyckoff Set Regression for Materials Discovery" by Rhys Goodall, adapted from https://pyxtal.readthedocs.io/en/latest/Background.html#wyckoff-positions.

\documentclass[tikz]{standalone}

\begin{document}
\begin{tikzpicture}[thick]
  \def\r{5}
  \fill[teal!60] (\r,-\r) -- (0,0) -- (\r,0) -- cycle;
  \fill[yellow!60] (\r,-\r) -- (0,0) -- (0,-0.\r) -- (4.\r,-\r) -- cycle;
  \fill[red!60] (0,0) rectangle (\r,0.3\r);
  \draw (-\r,-\r) rectangle (\r,\r);
  \draw[dashed] (-\r,-\r) -- (\r,\r) (\r,-\r) -- (-\r,\r) (-\r,0) -- (\r,0) (0,-\r) -- (0,\r);

  \foreach \a in {-0.8*\r,0.8*\r}
  \foreach \b in {-0.8*\r,0.8*\r}
  \draw[fill=yellow!60] (\a,\b) +(-0.3,-0.3) rectangle +(0.3,0.3);

  \foreach \a in {-0.7*\r,0.7*\r} {
      \draw[fill=red!60] (\a,0) circle (0.3);
      \draw[fill=red!60] (0,\a) circle (0.3);
    }

  \foreach \i in {1,...,8}
  \draw[rotate=45,fill=teal!60] (\i*360/8+22.5:2cm) +(-0.3,-0.3) rectangle +(0.3,0.3);
\end{tikzpicture}
\end{document}

Click to download: wyckoff-positions.tex
Open in Overleaf: wyckoff-positions.tex
This file is available on tikz.netlify.app and on GitHub and is MIT licensed.
See more on the author page of Janosh Riebesell..

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