Cubic Structures and Coordination Numbers

This video provides a basic introduction to unit cells, focusing on three types: simple cubic, body centered cubic, and face centered cubic structures. It explains the number of atoms per unit cell, coordination numbers, and the efficiency of space usage in each structure. The video also covers the relationship between edge length and atomic radius, and provides calculations for volume efficiency in simple and body centered cubic structures.

Which cubic structure has a coordination number of 12?

• Face-centered cubic

• Body-centered cubic

• Hexagonal close-packed

• Simple cubic

What percentage of the volume is occupied by atoms in a face-centered cubic structure?

• 52%

• 80%

• 68%

• 74%

In a simple cubic structure, how is the edge length related to the atomic radius?

• x = 4/√3r

• x = √8r

• x = 4r

• x = 2r

How many atoms are there per unit cell in a simple cubic structure?

• 1

• 8

• 2

• 4

What is the coordination number for a simple cubic structure?

• 8

• 12

• 6

• 4

How is the volume efficiency calculated for a simple cubic structure?

• Volume of atoms multiplied by volume of cube

• Volume of atoms divided by volume of cube

• Volume of cube divided by volume of atoms

• Volume of cube minus volume of atoms

In a body-centered cubic structure, how many atoms are there per unit cell?

• 1

• 2

• 4

• 8

What is the coordination number for a body-centered cubic structure?

• 6

• 8

• 4

• 12

How is the edge length related to the atomic radius in a body-centered cubic structure?

• x = 2r

• x = 4/√3r

• x = 4r

• x = √8r

What percentage of the volume is occupied by atoms in a body-centered cubic structure?

• 80%

• 74%

• 68%

• 52%