Based on the calculations, the number of Si atoms in one unit cell is equal to 8 atoms/unit cell.
Mathematically, the volume of a unit cell can be calculated by using this formula:
V = a³
V = (543)³ × (1 × 10⁻¹²)³ × (100)³
Volume, V = 1.60 × 10⁻²² cm³.
Next, we would determine the mass:
Mass = density × volume
Mass = 2.33 × 1.60 × 10⁻²²
Mass = 3.73 × 10⁻²² grams.
Also, we would determine the mass of one silicon atom:
Mass = 28.09/(6.022 × 10²³)
Mass = 4.665 × 10⁻²³ g/atom.
Now, we can calculate the number of Si atoms in one unit cell:
Number = 3.73 × 10⁻²²/4.665 × 10⁻²³
Number = 8 atoms/unit cell.
Read more on unit cell here: https://brainly.com/question/17218051
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