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If there are 4 atoms in one unit cell then the packing efficiency of unit cell is

  • Option 1)

    0.52

  • Option 2)

    0.74

  • Option 3)

    0.68

  • Option 4)

    0.91

 

Answers (5)

best_answer

packing \: efficiancy=\frac{z\times volume\: of\: one\: atom}{volume\: of\: unit\: cell}

since Number of atom per unit cell is 4 that means it is a fcc unit cell.

In fcc unit cell relation between radius of atom and edge of unit cell is - 

r=\frac{a}{2\sqrt{2}}

packing\: \; efficiancy=\frac{4\times \frac{4}{3}\pi r^{3}}{\left ( 2\sqrt{2r} \right )^{3}}

                                            =\frac{\pi }{3\sqrt{2}}=0.74

 

Packing fraction, Pf, or packing efficiency -

Pf = \frac{Vol.\ of\ particles\ in\ unit\ cell}{Total\ volume\ of\ unit\ cell}

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Option 1)

0.52

This is incorrect

Option 2)

0.74

This is correct

Option 3)

0.68

This is incorrect

Option 4)

0.91

This is incorrect

Posted by

Plabita

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0.74

Posted by

Menaaz Anjum

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option 3

Posted by

Menaaz Anjum

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0.74

 

Posted by

manabhanjan72

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2

Posted by

akshaysaivaddevoluvaddevolu

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