3D lab · Solid state

Crystal Lattices and Unit Cells in 3D

Build SC, BCC, FCC and HCP unit cells in 3D, count atoms per cell, see tetrahedral and octahedral voids, and calculate density.

Last updated: 26 October 2026

Direct answer

Build SC, BCC, FCC and HCP unit cells in 3D, count atoms per cell, see tetrahedral and octahedral voids, and calculate density.

Set sphere size to 100% to see where atoms touch: along the edge (SC), the body diagonal (BCC) or the face diagonal (FCC). Turn on voids to see where small ions fit. Syllabus note: unit cells and crystal structures are not a unit in the current JEE Main chemistry topic list on this site. They still appear in older PYQs and some other exams, so check the latest official syllabus before spending time here.

Simulation

Try it

Crystal Lattices and Unit Cells in 3D

Solid state

Drag to rotate, two fingers or right-drag to pan, scroll or pinch to zoom. The toolbar has views, cutaway, measure and “show the maths”.

What's happening? Set sphere size to 100% to see where atoms touch: along the edge (SC), the body diagonal (BCC) or the face diagonal (FCC). Turn on voids to see where small ions fit.
Learn more

Study this lab with

Watch and try

FAQs

Frequently asked questions

How many atoms are in an FCC unit cell?

Four: 8 corners × 1/8 + 6 face centres × 1/2 = 4.

What is the packing fraction of BCC?

68%. Atoms touch along the body diagonal, so √3·a = 4r.

How many octahedral and tetrahedral voids are there in ccp?

If there are N atoms, there are N octahedral voids and 2N tetrahedral voids. An FCC cell has 4 octahedral and 8 tetrahedral voids.

<link rel="stylesheet" href="/css/concepts-lab.min.css?v=20261027b">
WA✎
Sitemap