Calculated Vacancy Concentration After Quenching

Calculated changes in the concentration of single- double- and triple vacancies (cL, cD and cT) and the total concentration c = cL + 2cD0 + 3cT in Au during quenching from 800 oC with dT/dt = 3 · 104 K/s (after Furuka).
The colored dashed lines assume a dislocation density of zero (i.e. no sinks, N = 0), whereas the solid lines assume a dislocation density of N = 5 · 107.
vacancy concentration
Without sinks, the total concentration c of vacancies does not change is required (since no clusters with more that 3 vacancies are allowed). The concentration of single vacancies, however, changes considerably despite the large cooling rate.
The presence of sinks does change the picture somewhat, but not dramatically as we would expect for large cooling rates - there simply is not enough time to migrate to a sink.
For the migration energies (Ex,M) and the binding energies Ex;B the following values were used:
EL, M= 0.83 eV, ED,M= 0.71 eV, ED;B= 0.35 eV, ET,B= 0.65 eV.  
See also chapter 10.2 in the "Physikalische Metallkunde" of P. Haasen

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