Sketch a tetragonal unit cell, and within that cell indicate locations of the \(\frac{1}{2} 1 \frac{1}{2}\) and \(\frac{1}{4} \frac{1}{2} \frac{3}{4}\) point coordinates.

Question: Sketch a tetragonal unit cell and indicate the positions of the point coordinates \(\frac{1}{2} 1 \frac{1}{2}\) and \(\frac{1}{4} \frac{1}{2} \frac{3}{4}\) inside the unit cell. Answer: In a tetragonal unit cell, the coordinates of the point \(\frac{1}{2} 1 \frac{1}{2}\) are half of the length of the first side (a), the full length of the second side (b), and half of the length of the third side (c). The point is located within the cell, in the center of the top face along the c-axis. The coordinates of the point \(\frac{1}{4} \frac{1}{2} \frac{3}{4}\) are one fourth of the length of the first side (a), half of the length of the second side (b), and three fourths of the length of the third side (c). This point is also located within the cell, slightly above and to the right of the cell center along the c-axis.