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  • Help me solve this A metal crystallises in a face centred cubic structure. If the edge length of its unit cell is ‘a’, the closest approach between two atoms in metallic crystal will be :

A metal crystallises in a face centred cubic structure.  If the edge length of its unit cell is ‘a’, the closest approach between two atoms in metallic crystal will be :

 

  • Option 1)

    \sqrt{2}\: a

  • Option 2)

    \frac{a}{\sqrt{2}}

  • Option 3)

    2a

  • Option 4)

    2\sqrt{2}\: a

 

Answers (2)

best_answer

As we learnt in

Relation between radius of constituent particle, r and edge length, a for face centered cubic unit cell -

-

 

 The closest approach between two atoms in face cubic structure is \frac{a}{\sqrt{2}}.

Correct option is 2.

 


Option 1)

\sqrt{2}\: a

This is an incorrect option.

Option 2)

\frac{a}{\sqrt{2}}

This is the correct option.

Option 3)

2a

This is an incorrect option.

Option 4)

2\sqrt{2}\: a

This is an incorrect option.

Posted by

satyajeet

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