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5 A certain tetragonal crystal has four atoms of the same kind per unit cell, located at \( 0 \frac{1}{2} \frac{1}{4} \), \( \frac{1}{2} 0 \frac{1}{4}, \frac{1}{2} 0 \frac{3}{4}, 0 \frac{1}{2} \frac{3}{4} \). (Do not change axes.) a) Derive simplified expressions for \( F^{2} \). b) What is the Bravais lattice of this crystals? c) What are the values of \( F^{2} \) for the \( 100,002,111 \), and 011 reflections?

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