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· 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
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