Question

in a body centred cubic structure, the space occupied is about (a) 74% (b) 20 %(c)68percent (d)52.4%​

Answer 1

Answer:

68

Explanation:

In body centered cubic structure the space occupied is about (a) 68%

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Answer 2

Answer:

68 percent

Explanation:

a body centred cubic unit cell atoms are present at the corners of the unit cell and one atom occupy the center of the unit cell.

Therefore Z

eff

of the unit cell =

8

1

×8+1=2

Packing fraction of the unit cell =

Volume of unit cell

Volume occupied by the atoms

In BCC, atoms touch along the body diagonal of the unit cell therefore, we can write

3

a=4r

Packing fraction =

a

3

Z

eff

×

3

4

πr

3

=

(

3

4r

)

3

2×

3

4

πr

3

=

8

3

π

=0.68