Question

For one mole close pqcked spheres,how many octahedral and tetrahedral voids are present​

Answer 1

Answer:

Octahedral voids = 6.022×10^23

Tetrahedral voids = 12.044×10^23

Explanation:

Each unit cells in closed packed structure contains 4 atoms.

No of unit cells in closed packed structure by one mole atoms is -

N = NA / 4

N = 6.022×10^23 / 4

N = 1.505×10^23 unit cells

Each unit cell contains 4 octahedral and 8 tetrahedral voids.

Number of octahedral voids is -

Octahedral voids = 4 × N

Octahedral voids = 4 × 1.505×10^23

Octahedral voids = 6.022×10^23

Number of tetrahedral voids is -

Tetrahedral voids = 8 × N

Tetrahedral voids = 8 × 1.505×10^23

Tetrahedral voids = 12.044×10^23