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Question

KCl has a rock salt lattice with edge length =628pm. Pick the incorrect option(s).

A
Second nearest neighbours of K+ are 12, their sign is positive, with a distance of 444 pm
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B
Second nearest neighbours of K+ are 12, their sign is negative, with a distance of 364 pm
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C
In an unit cell, number of effective KCl molecules are 6
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D
Third nearest neighbours of K+ are 8, their sign is negative, with a distance of 544 pm
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Solution

The correct option is C In an unit cell, number of effective KCl molecules are 6
Edge length =a=628pm

1st neighbour of K+=Cl=6 at a2=314 pm

6 first neighbours located at the distance of a2. [For K+ at body centre, these first neighbours are 6 Cl present at faces.]

2nd neighbour of K+=Cl=12 at a2=6282=444 pm

12 second neighbours located at the distance of a2[For K+ at body centre, these second neighbours are 12 K+ present at the edges].

3rd neighbour of K+=Cl=8 at 3a2=3×6282=544 pm

8 Third neighbours located at the distance of 3a2 [For K+ at body centre, these third neighbours are 8 Cl present at the corners].

In an unit cell, number of effective KCl molecules are 4.

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