Face Centered Cubic Structures

The video tutorial explains the face-centered cubic structure, detailing the number of atoms per unit cell, coordination number, and edge length derivation. It also covers the calculation of the volume and the percentage of space occupied by atoms in the structure. The tutorial uses visual aids and mathematical derivations to clarify these concepts, providing a comprehensive understanding of the face-centered cubic structure.

How many atoms are present in a face centered cubic unit cell?

• 2

• 8

• 4

• 6

What fraction of an atom is located at each corner of a face centered cubic unit cell?

• 1/4

• 1/2

• 1/8

• 1/16

What is the coordination number of a face centered cubic structure?

• 12

• 10

• 8

• 6

In a face centered cubic structure, how many atoms is each corner atom connected to?

• 6

• 4

• 12

• 8

Which theorem is used to derive the edge length formula for a face centered cubic structure?

• Pythagorean theorem

• Binomial theorem

• Fundamental theorem of calculus

• Fermat's Last Theorem

What is the formula for the edge length of a face centered cubic structure?

• X = √2R

• X = 4R

• X = √8R

• X = 2R

What percentage of a face centered cubic structure is occupied by atoms?

• 68%

• 74%

• 80%

• 85%

How is the volume of a sphere calculated in the context of a face centered cubic structure?

• 4/3 πR²

• 4/3 πR³

• 2/3 πR³

• πR³

What is the relationship between the cube's edge length and the radius of the atoms in a face centered cubic structure?

• Edge length is twice the radius

• Edge length is four times the radius

• Edge length is the square root of two times the radius

• Edge length is the square root of eight times the radius

Which of the following is the correct expression for the volume of a cube in a face centered cubic structure?

• X³

• 2X³

• 4X³

• 8X³