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Diffusion

· In a three-dimensional lattice, six equivalent <100> jumps will take the interstitial from one body centered site to the equivalent site in an adjacent unit cell.
· Only a jump in the [100] direction will contribute to transport in the +x direction.
· The interstitial can overcome the Gibbs function barrier to the [1 0 0 ] jump ,ΔG, if it has a thermal vibration energy greater than this value.
· The Boltzmann probability of the atom having an energy of ΔG is:
P = exp(- ΔG/kT) ,
where T is the Kelvin temperature of the lattice.
· The number of approaches to the barrier in unit time is determined by the lattice vibration frequency (Einstein frequency) n ~ 1015 Hz