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Crystal Lattices

About this simulation

This simulation shows how atoms pack into a repeating unit cell. Students choose between simple cubic, body-centred cubic, face-centred cubic, rock salt and diamond, then change atom size, spin, bonds and space-filling display. A toggle expands one cell into a 2 by 2 by 2 supercell. Readouts give atoms per cell, coordination number, packing efficiency and the number of atoms shown. It supports lessons on solids, metals, ionic crystals and why different arrangements fill space differently.

What students can explore

  • Switch between Simple cubic, BCC and FCC and compare the Atoms per cell readout.
  • Read the Packing efficiency for each lattice and say which uses space most efficiently.
  • Turn on 2x2x2 supercell and see how the single bright cell repeats in all directions.
  • Choose Rock salt (NaCl) and describe how the two kinds of ion alternate.
  • Enable Space-filling and Show bonds in turn to see touching atoms versus connections.

Learning objectives

  1. 1Describe a crystal as a unit cell repeated in three dimensions.
  2. 2Calculate atoms per unit cell by counting shared corner, edge and face atoms.
  3. 3Compare coordination number and packing efficiency across cubic lattices.
  4. 4Identify the structures of sodium chloride and diamond.

Questions teachers ask

Is it free?

Yes. It is free, works in any modern browser including on tablets and classroom whiteboards, and needs no sign-up.

Why does a cell hold fewer atoms than you can see?

Atoms on corners, edges and faces are shared with neighbouring cells. A corner atom counts as one eighth, an edge atom as one quarter and a face atom as one half, so simple cubic holds one atom in total.

Which cubic lattice packs most tightly?

Face-centred cubic fills about 74 percent of the space and each atom touches 12 neighbours. Body-centred cubic fills about 68 percent and simple cubic about 52 percent.

How do I use it in class?

Choose a lattice from the drop-down, adjust Atom size and Spin, and switch the supercell, bonds and space-filling toggles. Read the Atoms per cell and Packing efficiency values and compare lattices.

Embed this simulation

Drop it into your LMS, blog, or class site — free.

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