Crystallography Basics – Materials Science & Engineering

What are Space Groups? (Simple Explanation)

Space groups are important in materials science because they capture all of the essential symmetry in a crystal structure. Space groups are mathematical constructs that capture every way an object...

Comparison of SC, BCC, FCC, and HCP Crystal Structures

All of this information can be found elsewhere on the site, but here is a quick reference sheet if you want to study the basic crystals quickly before an exam. Here are the links for the thorough...

List of Space Groups

Here is a list of the 230 3-dimensional space groups, organized by crystal system. Each space group is labeled according to its number, abbreviated Hermann–Mauguin notation (international...

The Difference Between Crystal Systems and Crystal Families

This is another of those articles that clarifies subtle terminology differences, plus a bonus chart that discusses the relationship between Bravais lattices, point groups, and space groups...

The 7 Crystal Systems (with Examples and Images)

So, you want to know what a crystal system is. If that’s the case, you might not be 100% clear on the difference between crystal system, crystal structure, crystal family, crystal lattices, or...

List of Point Groups 2D and 3D

This article lists all the 3D and 2D point groups, including alternate notations, related space groups, and allowed/forbidden properties in tabular format. If you want help understanding concepts,...