A crystal is made of particles X, Y and Z. X forms fcc packing. Y occu...
A crystal is made of particles X, Y and Z. X forms fcc packing. Y occu...
Crystal Structure:
- The crystal is made up of particles X, Y, and Z.
- Particle X forms a face-centered cubic (fcc) packing.
Occupation of Void Spaces:
- Particle Y occupies all the octahedral voids of X.
- Particle Z occupies all the tetrahedral voids of X.
Removal of Particles:
- All the particles, including corner atoms, along one body diagonal are removed.
Analysis:
- Let's consider one unit cell of the crystal structure.
- In the fcc packing, there are 4 particles at the corners of the unit cell and 4 particles at the face centers.
- Particle X occupies the corner positions, while particle Y occupies the face center positions.
Effect of Removing Particles:
- Removing the particles along one body diagonal means removing particles X, Y, and Z from the unit cell.
- This results in the removal of 1 X particle from the corner and 1 Y particle from the face center along the body diagonal.
- However, the particle Z is not present at the corners along the body diagonal, so it is not removed.
Formula of the Crystal:
- After the removal of particles, we are left with particle Z occupying the tetrahedral voids of X.
- The formula of the crystal can be deduced by counting the remaining particles.
- In the unit cell, there are 4 corner positions and 4 face center positions.
- Since particle Z occupies the tetrahedral voids of X, there are 8 tetrahedral voids in total.
- Therefore, the formula of the crystal is X(5)Y(4)Z(8).
Answer:
The formula of the crystal after removing all particles along one body diagonal is (d) X(5)Y(4)Z(8).