Miller Indices Calculator

Find Miller indices from plane intercepts.

Miller indices (hkl) (6 3 2)

Formula: reciprocals of intercepts, cleared of fractions

Step-by-step with your numbers:

1. Values used:

2. Intercept a = 1

3. Intercept b = 2

4. Intercept c = 3

6. Miller indices (hkl) = (6 3 2)

Did we solve your problem today?

Miller indices label crystal planes from where they cut the axes.

The math behind it

Take the reciprocals of the axis intercepts, then clear fractions to the smallest integers (h k l).

Intercepts 1, 2, 3 → (6 3 2).

Parallel to an axis?

That intercept is ∞, giving an index of 0 (this tool uses finite intercepts).