How to use the unit cell edge length calculator
Find the cubic unit cell edge length of a crystal from its density, molar mass and atoms per cell. Enter atoms per unit cell, molar mass, density in the fields above; the cell edge length are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “unit cell size from density”, “lattice parameter”, “edge length of crystal”, “calculate unit cell edge length”, “find cell edge length”.
Formula
Variables
- Z — Atoms per unit cell
- M — Molar mass (g/mol)
- rho — Density (g/cm³)
Worked example
With atoms per unit cell = 4, molar mass = 63.55 g/mol, density = 8.96 g/cm³, the calculator gives cell edge length ≈ 0.3611649 nm; cell edge length ≈ 361.1649 pm.
Frequently asked questions
What is the unit cell edge length calculator used for?
Find the cubic unit cell edge length of a crystal from its density, molar mass and atoms per cell. It helps with questions such as “unit cell size from density”, “lattice parameter”, “edge length of crystal”.
What is the formula for the unit cell edge length calculation?
Cell edge length (nm) = (Z × M / (rho × NAV))^(1 / 3) × 1e7. Cell edge length (pm) = [Cell edge length] × 1000. Here Z is atoms per unit cell, M is molar mass (g/mol), rho is density (g/cm³).
What inputs do I need for the unit cell edge length calculator?
You need atoms per unit cell, molar mass in g/mol, density in g/cm³. 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 unit cell edge length 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 unit cell edge length 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.