A solid XY has NaCl type close packed structure. If the anion has a radius of 241.5pm, what should be the minimum radius of the cation? Can a cation, having radius of 50pm be fitted into the tetrahedral hole of the crystal XY?
Cation can be fit
Cation cannot be fit
Size of cation is larger
Nothing can be predicted
We have:
Radius ratio for an octahedral hole
Thus, size of the cation
Thus, the minimum radius of the cation to fit in the octahedral hole
Again, radius ratio for tetrahedral hole
Thus, size of cation
According to question, the given size of the cation i.e, 50pm is less than the calculated value i.e, 54.34, thus the given cation can be easily fit into the tetrahedral hole of crystal XY.
Therefore, ?Option(1) is correct