Simple Crystal Structures and Miller Indices

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.



This Demonstration interactively illustrates several crystal structures, showing unit cells and Miller indices.


1. Repetition of unit cell to make crystals

2. Differences in SC, BCC, FCC, HCP and various simple ceramics structures

3. Conventional unit cell (use shift in three directions)

4. Contact condition for atoms (by changing atomic radius)

5. Close-packed directions and close-packed planes

6. Draw planes for Miller indices

7. Explore crystals by rotation and zoom

The last may run slowly, so be patient when there are many 3D spheres and planes to draw!


Contributed by: Yunfeng Shi and Adam Bross (April 2018)
Open content licensed under CC BY-NC-SA




Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.