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How many atoms can be assigned to its un...

How many atoms can be assigned to its unit cell if an element forms (i) a body centred cubic unit cell (ii) face centred cubic unit cell ?

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To determine the number of atoms assigned to the unit cell for both body-centered cubic (BCC) and face-centered cubic (FCC) unit cells, we can follow these steps: ### Step 1: Understanding the Body-Centered Cubic (BCC) Unit Cell 1. **Identify the positions of atoms**: In a BCC unit cell, there are atoms located at: - 8 corners of the cube - 1 atom at the center of the cube 2. **Calculate the contribution of corner atoms**: Each corner atom is shared by 8 adjacent unit cells. Therefore, the contribution of each corner atom to the unit cell is: ...
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The percentage of free space in a body centred cubic unit cell is

Calculate the number of atoms in a face centred cubic unit cell.

Knowledge Check

  • In face -centered cubic unit cell, edge length is

    A
    `4/sqrt3` r
    B
    `4/sqrt2` r
    C
    2r
    D
    `sqrt3/2` r
  • The vacant space in body centred cubic lattice unit cell is:

    A
    0.32
    B
    0.26
    C
    0.48
    D
    0.68
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