For the given close packed structure of a salt made of cation X and anion Y shown below (ions of only one face are shown for clarity), the packing fraction is approximately packing fraction = packing efficiency100
A
0.74
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B
0.63
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C
0.52
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D
0.48
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Solution
The correct option is B0.63 Packing fraction (f)=3×43πr3++1×43πr3−a3 =1×43π[3(r+r−)3+1](ar−)3
Now 2r−=a ∴ar−=2
Also. r+r−=0.414
So, f=1×43×3.14[3×(0.414)3+1](2)3 =0.634≈0.63