Home
Class 12
CHEMISTRY
A solid A^(o+)B^(ɵ) has NaCl-type close-...

A solid `A^(o+)B^(ɵ)` has `NaCl`-type close-packed structure. If the radius of the cation is `90` pm, calculate the probable range of the radius of the anion.

Text Solution

Verified by Experts

The correct Answer is:
`123.3` to `217.4 pm`
`NaCl` has fcc-type structure. The ideal limiting radius ratio is `0.414`.
`(r_(o+))/(r_(ɵ)) = 0.414`
`r_(ɵ) = (90)/(0.414) = 217.4` pm
When the structure is nor ideally close packed (i.e., anions do not touch each other) the limiting ratio can be upto `0.73`.
Minimum raudys of anion `= (r_(o+))/(0.73) = (90)/(0.73) = 123.3` pm
Promotional Banner

Similar Questions

Explore conceptually related problems

A solid A^(+)B^(-) has NaCl -type close-packed structure. If the anion has a radius of 250 pm, what should be the ideal radius for the cation? Can a cation C^(+) having radius of 180 pm be slipped into the tetrahedral site of the crystal A^(+)B^(-) ? Give reason for your answer.

A solid A^+ B^- has NaCI type close packed structure. If the anion has a radius of 241.5 pm, what should be the ideal radius of cation ?

A solid AB has NaCl structure. If the radius of the cation A is 100 pm, what is the radius of anion B ?

The edge length of a face-centred cubic unit cell is 508 pm . If the radius of the cation is 110 pm the radius of the anion is

A binary solid A^+B^-) has a rock structure. If the edge length is 400 pm and radius of cation is 75 pm, the radius of anion is

Aluminium crystallizes in an fcc structure. Atomic radius of the metal is 125 pm. Calculate the edge length of the unit cell of the metal.

An ionic solid A^(o+)B^(Θ) crystallizes as an fcc structure. If the edge length of cell is 508 pm and the radius of anion is 144 ppm, the radius of cation is

Aluminium crystallizes in FCC structure. Atomic radius of the metalics 125 pm. Calculate the edge length of the unit cell.

A solid AB has CsCl -type structure. The edge length of the unit cell is 404 pm. Calculate the distance of closest approach between A^(o+) and B^(Θ) ions.

Aluminium crystallies in a cubic close packed structure. Radius of the atom in the metal is 125 pm. (i) What is the length of the side of the unit cell ? (ii) How many unit cells are there in 1 cm^(3) of aluminium ?