What Are Simple, Body-Centered, and Face-Centered Cubic Structures?

TL;DR

There are three main cubic crystal structures: simple cubic, body-centered cubic, and face-centered cubic. The simple cubic structure has 1 atom and 52% volume occupancy, the body-centered has 2 atoms and 68%, while the face-centered structure has 4 atoms and the highest efficiency at 74%. Each structure has specific formulas relating edge length to atomic radius: x = 2r for simple cubic, x = 4/√3 r for body-centered, and x = √8 r for face-centered.

Transcript

in this video i'm going to give you a basic introduction into unit cells now there's three structures you need to be familiar with the first one on the left is the simple cubic structure the second one in the middle is the body centered cubic structure and the last one is the face centered cubic structure so each of these cubes represent a single u... Read More

Key Insights

• 😀 There are three types of unit cell structures: simple cubic, body centered cubic, and face centered cubic.
• 🫀 The coordination number represents the number of atoms attached to a single atom in a cubic structure.
• 😀 The volume occupancy of the cube by atoms varies for each structure, with the face centered cubic structure being the most efficient.

Summary & Key Takeaways

• The video explains three types of unit cell structures: simple cubic, body centered cubic, and face centered cubic, and discusses the number of atoms and coordination numbers in each.

• It highlights the volume occupancy of each structure, with the face centered cubic structure being the most efficient, and the simple cubic structure having 52% volume occupancy.

• The relationship between the edge length (x) and atomic radius (r) is explained for each structure, with the edge length being equal to 2r for simple cubic, 4/√3 times r for body centered cubic, and √8 times r for face centered cubic.