Chapter 29, Problem 12P

To determine

The distance between two nearest neighbour $Na$ ions.

Answer to Problem 12P

  $0.34nm$ .

Explanation of Solution

Given:

Spacing between $Na$ and $Cl$ ions $=0.24nm$

Formula used:

It is known that: $\text{D}=\text{d}\sqrt{\text{2}}$ ,

Where,

  $\text{d}$ is spacing between ions.

  $\text{D}$ is diagonal distance between two similar ions.

Calculation:

  

From the figure, the diagonal distance between two $Na$ ions,

  $\text{D}=\text{d}\sqrt{\text{2}}=0.24\text{nm}\sqrt{2}=0.34\text{nm}$

Conclusion: The required spacing is $0.34\text{nm}$ .