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  • Solve it, Packing fraction of simple cubic unit cell is -

Packing fraction of simple cubic unit cell is -

  • Option 1)

    0.52

  • Option 2)

    0.68

  • Option 3)

    0.74

  • Option 4)

    0.60

 

Answers (1)

best_answer

radius of atom in simple unit cell = \frac{a}{2}

packing \; fraction=\frac{1\times volume\; of\; atom}{Volume\; of\; unit\; cell}

                                       =\frac{\frac{4}{3}\pi r^{3}}{\left ( 2r \right )^{3}}=\frac{\pi }{6}=0.52

 

No. of atoms(z) for end centered unit cell -

Lattice point: at corners and one pair of opposite face centers.

For  end centered cubic, z=2

- wherein

 

 


Option 1)

0.52

This is correct

Option 2)

0.68

This is incorrect

Option 3)

0.74

This is incorrect

Option 4)

0.60

This is incorrect

Posted by

Aadil

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