Q1: Calculate the density of Mg, an hcp metal. The ideal c/a ratio (height of the unit
cell divided by its length) is 1.633

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(a) Show that the c/a ratio is 1.633 for the ideal hcp structure. (b) Comment on the
fact that real hcp metals display c/a ratios varying from 1.58 (for Be) to 1.89 (for
Cd).

Q3: (a) Sketch, in a cubic unit cell, [100] and [210] directions. (b) Use a trigonometric
calculation to determine the angle between these directions. (c) Use equation below
to determine this angle.

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