Question

Show that in the compact hexagonal structure the theoretical
axial relationship is c / a = 1.633. Sodium transforms from bcc to
hcp to 23 K. Assuming that the density remains fixed during the
transition, find the network constant of the hexagonal phase, since
a = 4.23 A in the cubic phase and that the ratio c / a It has the
ideal value

solid state physics

Answer #1

Sodium transforms from bcc to hcp at T = 23 K. Assuming the
atomic density remains constant and the c/a ratio is ideal,
calculate the hcp lattice constant a, given that the bcc phase
lattice constant, a' = 4.23 A.

Magnesium (Mg) presents at room temperature a compact hexagonal
structure (HCP) with parameters reticular a0 = 0.32094 nm and c =
0.52105 nm with an atomic mass of 24.31 g mol-1
Determine: a) The volume of the HCP unit cell; b) The density of
Magnesium; c) The Packing Factor for this cell unitary (answers: a)
1.39 x 10-28 m3 ; b) 1740 kg/m3 , c) 0.7471)

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