1.

Which of the following statement(s) is/are correct for an ionic solid AB(s) having NaCl structure? [r_(+)//r_(-)=0.414,"edge length of cube = a"]

Answer»

The number of neighbour of `A^(+)` which are at a distance 'a' from `A^(+)=6`
The number of neighbour of `A^(+)` which are at a distance of `sqrt(3)/(2)` a from `B^(-)=8`
The number of neighbour of `A^(+)` which are at a distance `((2-sqrt(2))/(sqrt(2)))r_(-)` from `A^(+)=6`
The number of neighbour of `A^(+)` which are at a distance `((a)/(sqrt(2)))` from `A^(+)=12`

Solution :(A) Neighbour of `A^(+)` which are at a distance 'a' are `A^(+)` and number is 6
(B) Consider CORNER `B^(-)` and central A+ (O.v. at cube centre), corner `B^(-)` is common in 8 unit cell, so `8A^(+)` are
at a distance `(sqrt(3))/(2)` a from `B^(-)`
(C ) GIVEN value, it is `r_(+)//r_(-)=0.414."So "A^(+)`is trapped between i.e. O.V. `6B^(-)`


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