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Percentage of free space in a body-centr...

Percentage of free space in a body-centred cubic unit cell is

A

0.34

B

0.28

C

0.3

D

0.32

Text Solution

Verified by Experts

The correct Answer is:
D
The ratio of volumes occupied by atoms in unit cell to the total volume of the unit cell is called as packing fraction or density of packing. For body-centred cubic structure, packing fraction = 0.68 i.e., 68% of the unit cell is occupied by atoms and 32% is empty.
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Knowledge Check

  • Percentage of free space in cubic in a body- centred cubic unit cell is .

    A
    `32%`
    B
    `34%`
    C
    `28%`
    D
    `30%`

  • In face-centred cubic unit cell :

    A
    face diagonal of the cube is `asqrt(2)` or `4r`
    (a=edge length, r=radius of constituent units)
    B
    effective number of atoms in the unit cell is 4
    C
    8 tetrahedral voids per unit cell
    D
    rank of the unit cell is 3

  • The percentage of empty space in a body centred cubic arrangement is _____

    A
    74
    B
    68
    C
    32
    D
    26

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