This website was created to make crystallography more accessible through interactive visualisation and computation.
It brings together many of the core concepts used in crystallography—including crystal systems, Bravais lattices, point groups, space groups, Miller planes, crystal directions, and symmetry operations—into a single browser-based application. Rather than simply presenting tables of data, the site allows these concepts to be explored visually with interactive 3D models.
The application is designed for students learning crystallography, educators looking for teaching resources, and anyone with an interest in crystal symmetry. All calculations are performed directly in your browser, requiring no software installation.
The site supports all 230 crystallographic space groups in their standard settings, together with many alternative settings and origin choices. Space groups can be explored using both Hermann–Mauguin and Hall symbols.
Equivalent positions are generated algorithmically from the symmetry generators rather than retrieved from precomputed tables. Hall symbols are interpreted to construct the corresponding Seitz matrices, including lattice translations, screw axes, glide planes, origin shifts, and closure of the symmetry group.
Every crystal model can be rotated, zoomed, and examined in three dimensions. Interactive visualisation helps reveal relationships that are often difficult to appreciate from static diagrams or printed tables.
The aim of this project is not only to provide reference information but also to help explain how crystallographic symmetry works. Wherever possible, the underlying symmetry operations are exposed so that users can see how equivalent positions and symmetry elements arise.
Whether you are studying crystallography for the first time or revisiting it as a scientist or engineer, the goal is to provide an intuitive way to explore the geometry and symmetry of crystals.
This project was developed as an independent educational resource using modern web technologies. All graphics are rendered interactively in the browser, making the application available on desktop and mobile devices without requiring additional software.
Suggestions, comments, and reports of any errors are always welcome and will help improve the site for future users.
Rotate the model by dragging with the left mouse button.
Use the mouse wheel to zoom in and out.