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Question

The unit cell cube length for LiCl (just like NaCl structure) is 5.14 ËšA. Assuming anion-anion contact, the ionic radius for chloride ion is:

A
1.815 ˚A
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B
2.8 ˚A
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C
3.8 ˚A
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D
4.815 ˚A
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Solution

The correct option is A 1.815 ˚A
In NaCl structure, anions have face centered cubic arrangement.
In such a unit cell face diagonal is four times the radius of anions.
Face diagonal =2a=2×5.14˚A
Face diagonal =4r
4r=2×5.14
r=2×5.144=1.817˚A

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