3.
(a)
Show that the units of the diffusion constant, D, are cm²/s.
(b)
A 300 micron layer of MgO is deposited between layers of nickel and tantalum to
provide a diffusion barrier that prevents high temperature reactions between the two
metals. At 1400°C, nickel ions are created and diffuse through the MgO ceramic to
the tantalum. Determine the time it would take for one micron (1 µm) of nickel to be
removed. At 1400°C, the diffusion constant of nickel in MgO is 9 x 10-12 cm²/s, and
lattice constant of nickel is 3.6 x 10-8cm.