A) \[PF=\frac{\frac{4}{3}\pi \left( r_{+}^{3}+r_{-}^{3} \right)}{16\sqrt{2}r_{-}^{3}}\]
B) \[PF=\frac{\frac{4}{3}\pi \left( \frac{5}{3}r_{+}^{3}+4r_{-}^{3} \right)}{16\sqrt{2}r_{-}^{3}}\]
C) \[PF=\frac{\frac{4}{3}\pi \left( \frac{5}{2}r_{+}^{3}+r_{-}^{3} \right)}{16\sqrt{2}r_{-}^{3}}\]
D) \[PF=\frac{\frac{4}{3}\pi \left( \frac{7}{2}r_{+}^{3}+r_{-}^{3} \right)}{16\sqrt{2}r_{-}^{3}}\]
Correct Answer: B
Solution :
| [b] Effective number of |
| \[N{{a}^{+}}=4-\left( 1+2\times \frac{1}{4} \right)=\frac{5}{2}\] |
| Effective number of \[C{{l}^{-}}=4\sqrt{2}a=4{{r}^{-}}\] |
| \[PF=\frac{\text{Volume}\,\text{of}\,\text{effective}\,\text{number}\,\text{of}\,\text{cations}\,\text{and}\,\text{anions}}{\text{Volume}\,\text{of}\ \text{unit}\,\text{cell}}\] |
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