PHZ3400-09 Problem Set 4

Problem 1

Copper has a density of 8.885 $g/cm^{3}$, a relative atomic mass of 63.57 and has a face-centered cubic structure. Estimate:

a) How many moles of copper there are in 1 $m^{3}$.

b) How many copper atoms there are in 1 $m^{3}$.

c) The size of the unit cube.

d) The atomic radius of copper in the solid state.

e) The mass of the copper atom.

Problem 2

Draw the planes whose Miller indices are (421), (112), (1-10) and (-121). State their intercepts on the x- y- and z- axes.

Problem 3

a) Consider a face-centered cubic cell. Construct a primitive cell within this larger cell (make a sketch).

b) Compare the volume of the two cells.

c) How many atoms are there in the primitive cell? How does this compare with the number of atoms in the original cell?