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If distance between Cs+ and Cl- in CsCl structure is 200 pm , then the edge length of unit cell is -

  • Option 1)

    220 pm

  • Option 2)

    231 pm

  • Option 3)

    242 pm

  • Option 4)

    251 pm

 

Answers (1)

best_answer

Edge length in CaCl structure = \frac{2}{\sqrt{3}}\left ( r_{Cs^{+}} +r_{Cl^{-}}\right )

                                                =\frac{2}{\sqrt{3}}\times 200

                                                =231pm

 

 

CsCl type structure -

Cl^{-} located at all corners

Cs^{+} located at body centre

Edge length = \frac{2}{\sqrt{3}} (r_{Cs^{+}} + r_{Cl^{-}})

Coordination number = 8:8

- wherein

Number of Cl^{-} = 1

Number of Cs^{+} = 1

Number of CsCl molecule per unit cell = 1

 

 


Option 1)

220 pm

This is incorrect

Option 2)

231 pm

This is correct

Option 3)

242 pm

This is incorrect

Option 4)

251 pm

This is incorrect

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prateek

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