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Relation Between r and a

PbS has sodiu...

Question

$P b S$ has sodium chloride structure. The shortest distance between $P b^{2 +}$ ion and $S^{2 -}$ is $297 p m$ . What will be the edge length of unit cell (in pm)?

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Solution

$P b s h a s s o d i u m c h l o r i d e s t r u c t u r e (d i a g r a m) S o, e d g e l e n g t h w i l l b e 2 \times (s h o r t e s t d i s t a n c e b e t w e e n {P b}^{2 +} a n d S) = 2 \times 297 p m = 594 p m$

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