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How will derive the formula of density of a unit cell?

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1. Using the edge length of a unit cell, we can calculate the density (p )of the crystal by considering a cubic unit cell as follows.

Substitute the value (3) in (2)

Mass of the unit cell = n x \(\frac{M}{N_A}\)

For a cubic unit cell, all the edge lengths are equal. i.e., a = b = c 

Volume of the unit cell = a x a x a = a3

∴Density of the unit cell = ρ = \(\frac{nM}{a^3N_A}\)

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