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In fcc unit cell , what is the volume oc...

In fcc unit cell , what is the volume occupied ?

A

`4/3 pir^3`

B

`8/3 pi r^3`

C

`16/3 pi r^3`

D

`(64r^3)/(3sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
C
The volume occupied by the fcc unit cell is `16/3 pi r^3`
Packing fraction or volume occupied `=(Z_(eff)xx4/3pir^3)/(a^3)`
For fcc, `Z_(eff) = 4`
`=(4xx4/3pir^3)/(a^3)` (where , a=1)

`=16/3 pir^3`
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Knowledge Check

  • The edge - centred cubic unit cell , what is the volume occupied ?

    A
    `(4)/(3) pi r^(3)`
    B
    `(8)/(3) pi r^(3)`
    C
    `(16)/(3)pi r^(3)`
    D
    `(64 r^(3))/(3sqrt(3))`

  • In a face centred cubic unit cell, what is the volume occupied ?

    A
    `4/3 pi r^3`
    B
    `8/3 pi r^3`
    C
    `16/3 pi r^3`
    D
    `(64 r^3)/(3sqrt(3))`

  • In face centred cubic unit cell, what is the volume occupied ?

    A
    `(4)/(3) pi r^(3)`
    B
    `(8)/(3) pi r^(3)`
    C
    `(16)/(3) pi r^(3)`
    D
    `(14r^(3))/(3sqrt(3))`

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