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Which of following statements is correct...

Which of following statements is correct in the zinc-blende-type structure of an ionic compound?

A

Coordination number of each cation and anion is `2`.

B

Coordination number of each cation and union is `4`.

C

Coordination number of each cation and union is `6`.

D

Coordination number of each cation and union is `8`.

Text Solution

Verified by Experts

The correct Answer is:
B

`ZnS` has diamond cubic structure in which `S^(2-)` ions from `bcc` lattice and `Zn^(2+)` ions are present in alternalte `TV_(s)`.
`Z_(eff)` of `S^(2-) = 4` (corner `+` face centre `= 3 + 4`).
`Z_(eff)` of `Zn^(2+) = 4`
(Total `TV_(s) = 8`, alternate `TV_(s) = 4`).
So `Z_(eff)` of `ZnS = 4`
Hence, the formula is `Zn_(4)S_(4)`.
So coordination number of `Zn^(2+)` and `S^(2-)` is `4` each.
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Knowledge Check

  • Which of the following statement is/are incorrect in the rock-salt structure if an ionic compounds ? (A) coordination number of cation is four where as that of anion is six.

    A
    coordination number of cation is four where as that of anion is six.
    B
    coordination number of cation is six where as that of anion is four.
    C
    coordination number of each cation and anion is four.
    D
    coordination number of each cation and anion is six.
  • Which one of the following statements is wrong about zinc blende type structure ?

    A
    Each `Zn^(2+)` ion is surrounded tetrahedrally by four `S^(2-)` ions and each `S^(2-)` ion by four `Zn^(2+)` ions
    B
    `S^(2-)` ions form fcc arrangement
    C
    AgBr has zinc blende type structure
    D
    Cuprous halides have zinc blende type structure
  • Which of the following statements is(are) correct for the diamond structure?

    A
    Each atom has `4` nearest neighbours and `12` next nearest neighbours.
    B
    It is relatively empty.
    C
    The maximum proportion of the available volume which may be filled by hard spheres is only `0.34`.
    D
    The maximum proportion of the available volume which may be filled by hard sphere is only `0.46`.
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