PHYS 4801

Solid State Physics

Experiment 1

Exploring Crystal Structures

Visualize and compare the unit cells of SC, BCC, FCC, NaCl, and Diamond structures in 3D.

Controls

Key Equations

A crystal structure = Bravais lattice + basis. The unit cell is the smallest repeating volume.

APF = (n * 4/3 * π * r³) / a³

CN = Nearest neighbors

For close-packed structures: SC (n=1, APF 0.524), BCC (n=2, APF 0.680), FCC (n=4, APF 0.740).

Crystal Lattice Viewer
Atoms/Cell

1

CN

6

APF

0.524

Example

Polonium (Po)

Drag to rotate • Scroll to zoom

The simplest structure where atoms are located only at the corners of the cube.

Task: Compare Structures

Select each structure and record the properties in your table. Pay attention to the colors:

  • Blue: Corner/A-type atoms
  • Orange: Additional basis atoms
Teaching Connection

Crystal models are the first "abstract concept" students encounter. This 3D simulation is far more powerful than 2D diagrams. Consider: how would you adapt this to explain to Form 4 students why metals conduct electricity?

Reflection Questions
  1. Viewed along the body diagonal (⟨111⟩ direction), what shape do the face-centre atoms form in the FCC structure?
  2. Why is diamond extremely hard despite having such a low APF (0.340)? What type of bonding does diamond have?
  3. A metal crystallises in FCC with a = 3.61 Å. Identify the metal if its density is 8960 kg/m³.