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A cubic unit cell has one atom on each c...

A cubic unit cell has one atom on each corner and one atom on each body diagonal. The number of atoms in the unit cell is

Text Solution

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The correct Answer is:
5
Contribution by atoms on the corners `=8xx1/8=1` As atoms on the body diagonals are not shared by any other unit cell and there are four body diagonals , their contribution =4 .
Hence, total atoms in the unit cell=5
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Knowledge Check

  • How many number of atoms are there in a cube based unit cell having one atom on each corner and two atoms on each body diagonal of cube-

    A
    8
    B
    6
    C
    4
    D
    9

  • The number of atoms in a cubic based unit cell having one atom on each corner and two atoms on each body diagonal is

    A
    `6`
    B
    `7`
    C
    `8`
    D
    `9`

  • In a body centred cubic arrangement, the number of atoms per unit cell is-

    A
    8
    B
    2
    C
    1
    D
    4