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JEE Advanced
Exam
JEE Advanced
Subject
Chemistry
Chapter
Solid State

JEE Advanced · Chemistry · Solid State

In crystal of NaCl , consider the particle Cl^ - which is present...

In crystal of NaCl , consider the particle Cl−\mathrm{Cl}^{-}which is present at topmost layer. If x is the number of 2nd 2^{\text {nd }} nearest neighbours and yy is the number of 3rd 3^{\text {rd }} nearest neighbours with respect to reference particle. Calculate the value of (x+y)(x+y).In crystal of NaCl , consider the particle Cl^ - which is present at topmost layer. If x is the number of 2^ nd nearest

Correct answer

12

Step-by-step solution

In crystal of NaCl , consider the particle Cl^ - which is present at topmost layer. If x is the number of 2^ nd nearest
x=8( at distance a2)y=4( at distance 3a2)x+y=12\begin{aligned} & x=8\left(\text { at distance } \frac{a}{\sqrt{2}}\right) \\ & y=4\left(\text { at distance } \frac{\sqrt{3} a}{2}\right) \\ & x+y=12\end{aligned}
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