Solid State Question 38

Question: A mineral having the formula $ AB_2 $ crystallizes in ccp lattice with A atoms occupying the lattice points. Pick out the correct statement of the following

Options:

A) 100% occupancy of tetrahedral voids, C.N. of $ B=4 $

B) 100% occupancy of octahedral voids, C.N. of B=4

C) 50% occupancy of tetrahedral voids, C.N. of A=4

D) 100% occupancy of octahedral voids, C.N. of A =4

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Number of A cations per unit cell = 4

Number of B anions per unit cell must be $ =2\times 4=8 $

Number of tetrahedral voids per unit cell $ =2\times 4=8 $

Number of octahedral voids per unit all $ =1\times 4=4. $

Hence, occupancy of tetraral voids =100%