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Atomic Packing Efficiency Calculator

Find the fraction of a unit cell filled by atoms for common crystal structures.

Inputs

Results

Packing efficiency74.05%
Empty space25.95%

Not what you need? Search by intent

Describe what you want to find — “packing efficiency” — and jump to the right calculator.

How to use the atomic packing efficiency calculator

Find the fraction of a unit cell filled by atoms for common crystal structures. Enter crystal structure in the field above; the packing efficiency, empty space are computed instantly and plotted on the chart so you can see how the answer changes.

Common searches this calculator answers include “packing efficiency”, “FCC packing”, “BCC packing fraction”, “calculate atomic packing efficiency”, “find packing efficiency”.

Formula

Packing efficiency (%) = pk
Empty space (%) = 100-pk

Variables

  • pk — Crystal structure (%)

Worked example

With crystal structure = Face-centred cubic, the calculator gives packing efficiency ≈ 74.05 %; empty space ≈ 25.95 %.

Frequently asked questions

What is the atomic packing efficiency calculator used for?

Find the fraction of a unit cell filled by atoms for common crystal structures. It helps with questions such as “packing efficiency”, “FCC packing”, “BCC packing fraction”.

What is the formula for the atomic packing efficiency calculation?

Packing efficiency (%) = pk. Empty space (%) = 100-pk. Here pk is crystal structure (%).

What inputs do I need for the atomic packing efficiency calculator?

You need crystal structure in %. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use the atomic packing efficiency calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the atomic packing efficiency result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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