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Crystalline silicon has a cubic structure The unit cell edge length is 543 pm The density of the solid is 2.33 gcm3 Calculate the number of Si atoms in one unit cell?
Matse1289
Density = Mass / Volume
Silicon has a molar mass of 28.09g
Density = 2.33g/cm^3
Volume = (543pm)^3 = (543 x10^-10 cm)^3 = 1.60x10^-22 cm^3
Mass = x net atoms * (1 mol/6.022x10^23) * (28.09g/mol) = x *(4.665x10^-23g)
(2.33g/cm^3)(1.60x10^-22 cm^3) = (4.665x10^-23g)*x
(3.73x10^-22g) / (4.665x10^-23g) = 7.996
The net number of atoms in Silicon is 8. This particular form of crystallization is known as the diamond cubic crystal structure.
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