BCC Lattice Quiz

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Questions and Answers

Question 2

  • The coordination number in a BCC lattice is 8
  • The coordination number in a BCC lattice is 6
  • The coordination number in a BCC lattice is 12 (correct)
  • The coordination number in a BCC lattice is 4

Question 1

  • The number of atoms per unit cell in a BCC lattice is 2 (correct)
  • The number of atoms per unit cell in a BCC lattice is 4
  • The number of atoms per unit cell in a BCC lattice is 8
  • The number of atoms per unit cell in a BCC lattice is 1

Question 3

  • The packing factor of a BCC lattice is 0.68
  • The packing factor of a BCC lattice is 0.74
  • The packing factor of a BCC lattice is 0.82 (correct)
  • The packing factor of a BCC lattice is 0.52

Question 1

<p>The number of atoms per unit cell in a body centered cubic (BCC) lattice is 2.</p> Signup and view all the answers

Question 2

<p>The coordination number of a body centered cubic (BCC) lattice is 8.</p> Signup and view all the answers

Question 3

<p>The packing factor of a body centered cubic (BCC) lattice is approximately 0.68.</p> Signup and view all the answers

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Study Notes

Body Centered Cubic Lattice

  • A body-centered cubic (BCC) lattice consists of identical atoms with a radius of R.
  • In a BCC lattice, each unit cell has a total of 2 atoms: 8 atoms at the corners of the cube (each shared by 8 adjacent cells) and 1 atom at the center of the cube.

Number of Atoms per Unit Cell

  • There are 2 atoms per unit cell in a BCC lattice.

Coordination Number

  • The coordination number of a BCC lattice is 8, meaning each atom is in contact with 8 nearest neighboring atoms.

Packing Factor

  • The packing factor (PF) of a BCC lattice is 0.68, which is the ratio of the volume occupied by the atoms to the total volume of the unit cell.
  • PF = (Volume of atoms) / (Volume of unit cell) = (2 × (4/3) × Ï€ × R³) / (2 × R³) = 0.68

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