Physics · Solid State Physics
Consider a crystal lattice with primitive vectors given by: a1 = a i a2 = a j a3 = (a/2)(i + j + k) where i, j, k are the unit vectors along the Cartesian axes and a is a positive constant. Which of the following is correct regarding the Bravais lattice type and the volume of the primitive cell?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1It is a Body-Centered Cubic (BCC) lattice, and the volume of the primitive cell is a3/2✓
- 2It is a Face-Centered Cubic (FCC) lattice, and the volume of the primitive cell is a3/4
- 3It is a Body-Centered Cubic (BCC) lattice, and the volume of the primitive cell is a3/8
- 4It is a Face-Centered Cubic (FCC) lattice, and the volume of the primitive cell is a3
Correct answer
It is a Body-Centered Cubic (BCC) lattice, and the volume of the primitive cell is a3/2
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