Below you will find a Miller plane viewer. Miller planes can be viewed as planes that slice through a unit cell. It can be used to visualize crystal growth directions. It can also be used to consider how X-ray "diffraction" (actually scattering) occurs off of a plane. We define each plane using a set of indices, *h*, *k*, and *l*. Each index represents the inverse of how far along a unit cell the plane passes through along *x*, *y*, and *z* respectively. For example, if *h* = 1, then the plane intersects the *x*-axis at *a*. Furthermore, if *h* = 2, then the plane intersects the *x*-axis at half of *a* (*1/h = 1/2*). We label planes as "(*h k l*)". So the plane (*1 1 0*) intesects the *x*-axis at *a*, the *y*-axis at *b*, and it runs parallel to the *z*-axis *1/l = 1/0 = ∞ *).

Use the viewer below to explore the viewer. Be careful with negative values of *h*, *k*, and *l*.

h: k: l:

Enable

h: k: l:

a length:

b length:

c length:

Department of Chemistry,

Memorial University,

St. John's, NL

Canada

**Phone:** 1-709-864-8745

**Email:**
mkatz@mun.ca
**Website:**
www.KatzResearchGroup.com

© 2022 Michael J. Katz