What this calculator does
Miller indices from axial intercepts works out miller indices (hkl) of a crystal plane, plus interplanar spacing for a cubic lattice. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.
The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.
The formula
The inputs explained
| Field | What to enter |
|---|---|
| x-axis intercept (fraction of a) | A number. Starts at 1. |
| y-axis intercept (fraction of b) | A number. Starts at 1. |
| z-axis intercept (fraction of c) | A number. Starts at 0.5. |
| Cubic lattice constant a (pm) | A number, measured in pm. Starts at 400. |
Worked examples
Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.
How the answer changes with x-axis intercept (fraction of a)
Every other input is held at the calculator’s starting values while x-axis intercept (fraction of a) varies. Select any row to load that scenario into the calculator.