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27 September, 20:26

Sodium oxide (Na2O) crystallizes in a structure in which the O2 - ions are in a face - centered cubic lattice and the Na + ions are in tetrahedral holes. What is the number of Na + ions in the unit cell?

A) 2

B) 4

C) 6

D) 8

E) none of these

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  1. 27 September, 20:52
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    We have to know the number of Na⁺ ions in the unit cell.

    The number of Na⁺ ions in the unit cell is (D) 8.

    Sodium oxide (Na2O) crystallizes in a structure in which the O2 - ions are in a face - centered cubic lattice and the Na + ions are in tetrahedral holes.

    O²⁻ ions are in a face centred cubic lattice, so the number of O²⁻ ions per unit cell is equal to 4. The number of tetrahedral hole = 2 X 4=8. Na + ions are present in tetrahedral holes, which indicates there are 8 number of Na + ions in the unit cell.
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