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The radius of Mg^(2+), Cs^(+), O^(2-), S...

The radius of `Mg^(2+), Cs^(+), O^(2-), S^(2-)` and `Cl^(-)` ions are 0.65 Å, 1.69 Å, 1.40 Å, 1.84 Å and 1.81 Å respectively. Calculate the coordination numbers of cations in the crystals of MgS, MgO and CsCl.

Text Solution

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`(r(Mg^(2+)))/(r(S^(2-)))=(0.65)/(1.84) =0.353 gt 0.225` but less than 0.414.
`rArr CN=4` (tetrahedral)
`(r(Mg^(2+)))/(r(O^(2-)))=(0.65)/(1.40) = 0.464 gt 0.414` but less than 0.732.
`rArr CN(Mg^(2+)) =6` (octahedral)
`(r(Cs^(+)))/(r(Cl^(-)))=(1.69)/(1.81) = 0.933 gt 0.732`
`rArr CN(Cs^(+)) =8` (bcc)
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