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The packing efficiency of diamond is

  • Option 1)

    34%

  • Option 2)

    68%

  • Option 3)

    52%

  • Option 4)

    92%

 

Answers (1)

best_answer

Packing\; efficiency=\frac{Z\times Volume\; of\; atom}{Volume\; of\; cube}

                                            =\frac{8\times \frac{4}{3}\pi r^{3}}{\frac{\left ( 8r \right )^{3}}{3\sqrt{3}}}

                                            =\frac{\pi \sqrt{3}}{16}=0.34

Percent of packimg efficiency =0.34\times 100=34% 

 

 

Diamond structure -

In the structure of diamond C atom present at all corners , all face centres and 50 % tetrahedral voids.

Bond length i.e distance between 2 nearest C atom = \frac{\sqrt{3}a}{4}

Radius of C atom =  rc

rc = \frac{\sqrt{3}a}{8}

Packing efficiency of diamond is 34%

- wherein

Number of C atom per unit cell = 8

a = edge length of unit cell

 

 


Option 1)

34%

This is correct

Option 2)

68%

This is incorrect

Option 3)

52%

This is incorrect

Option 4)

92%

This is incorrect

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prateek

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