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In a BCC (Body-Centered Cubic) unit cell of a crystalline material, how many atoms are present at the corners and within the unit cell respectively?

  • A.8 at the corners, 1 within the cell
  • B.1 at the corners, 8 within the cell
  • C.1 at the corners, 1 within the cell
  • D.4 at the corners, 1 within the cell

Answer: A

A body-centred cubic unit cell has 8 atoms at the corners, each shared among 8 cells, and 1 atom in the centre of the cell, within it. The effective number of atoms per cell is \[ 8\times\frac{1}{8} + 1 = 2 \] The other options give wrong numbers of corner and centre atoms, and 4 at the corners with 1 within does not describe BCC.

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