A certain element crystallizes in a bcc lattice of unit cell edge length 27Å. If the same element under the same conditions crystallises in the fcc lattice, the edge length of the unit cell in Å will be _________. (Round off to the Nearest Integer).

[Assume each lattice point has a single atom]

[Assume √3 = 1.73, √2 = 1.41]

Answer: 33

For BCC unit cell, √3a = 4R

a = 4R/√3 = 27

R = 27√3 / 4

For fcc unit cell

√2a = 4R

a = 4/√2 (27√3 / 4)

a = 27 √3 / √2

a = 33.12 ≈ 33

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