The arrangement of X - ions around A + ion in solid AX is given in...

The arrangement of X^- ions around A⁺ ion in solid AX is given in the figure (not drawn to scale). If the radius of X^- is 250 pm, the radius of A⁺ is
The arrangement of X - ions around A + ion in solid AX is given in the figure (not drawn to scale). If the radius of X

Options

A104 pm
B125 pm
C183 pm
D57 pm

Correct answer

A. 104 pm

Step-by-step solution

A⁺ cation is filled in octahedral hole generated by X^- anion
i.e.,

\dfrac{\text{r} {\text{A}}^{+}}{\text{r} {\text{X}}^{-}} = \text{0.414}

\text{r} {\text{A}}^{+} = \text{0.414} \times 2 5 0 = \text{103.5} \text{pm}

\approx 1 0 4 \text{pm}

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