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AX,AY,BX, and BY have rock salt type str...

`AX,AY,BX`, and `BY` have rock salt type structure with following internuclear distances:
`|{:("Salt","Anion-anion","Cation-anion"),(,"distance in"Å,"distance in"Å),(AX,2.40,1.70),(AY,1.63,1.15),(BX,2.66,1.88),(By,2.09,1.48):}|`
A salt `MY` crystallizes in the `CsCl` structure. The anions at the corners touch each other and cation is in the centre. The radius ratio `(r_(o+)//r_(Θ))` for this structure is

A

`0.35` and `0.68 Å`

B

`0.68` and `0.35 Å`

C

`1.20` and `0.80 Å`

D

`0.80` and `1.20 Å`

Text Solution

Verified by Experts

The correct Answer is:
A
`Y^(ɵ)` is small than `X^(ɵ)`.
The difference in internucler distanc between `AX` and `BX` indicates that the cation must not be touching apl the anions in `AX` (smaller cation, larger anion) [see `Q.10`, Fig.(a)]. There must ve anion-anion contact is this compound.
`:.` Anion-anion ditance = `2r_(ɵ)`
The remaining radius ratio is represented in (see `Q.9` Figure].
b. Radius of `X^(ɵ)(r_(ɵ)) = (2.40)/(2) = 1.20Å`
Radius of `B^(o+)(r_(o+)) = (1.88 - 1.20)Å = 0.68Å`
c. Similarly, radius of `Y^(ɵ)(r_(ɵ)) = (1.48 - 0.68) = 0.80 Å`
Radius of `A^(o+)(r_(o+)) = (1.15 - 0.80)Å = 0.35 Å`
Radius of `A^(o+)` and `B^(o+)`, respectively, are `= 0.35` and `0.68Å`
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