Chemistry

Miller Indices Calculator

Find Miller indices from plane intercepts.

Calculated Output

Miller indices (hkl) (6 3 2)

Formula: reciprocals of intercepts, cleared of fractions

Step-by-Step Breakdown

1. Values used:

2. Intercept a = 1

3. Intercept b = 2

4. Intercept c = 3

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

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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).