Y. Mishin et D. Farkas, ATOMISTIC SIMULATION OF POINT-DEFECTS AND DIFFUSION IN B2 NIAL .1. POINT-DEFECT ENERGETICS, Philosophical magazine. A. Physics of condensed matter. Structure, defects and mechanical properties, 75(1), 1997, pp. 169-185
Point defect energetics in compounds is important both for diffusion s
imulations and for the calculation of formation energies of extended d
efects. We apply the strict thermodynamic definitions to relate the fo
rmation energy of an arbitrary crystalline defect in an ordered compou
nd to its 'raw' energy (calculated using a perfectly ordered crystal a
s a reference state) and the chemical potentials of the components in
a uniform alloy at zero temperature. In turn, the chemical potentials
are expressed in terms of the 'raw' formation energies of constitution
al defects in off-stoichiometric alloys. We derive expressions for the
chemical potentials and true energies of vacancies and antisites in a
triple-defect compound. Specific calculations are performed for a B2
compound NiAl using 'molecular statics' and the embedded atom method (
EAM). We find that the existing EAM potentials for NiAl are inapproria
te for this purpose because the point defect energies obtained are inc
onsistent with the triple-defect model. Since this model has been firm
ly verified experimentally for NiAl, we had to modify the existing EAM
potentials in order to reconcile the simulation results with experime
ntal observations. ?The modified EAM potentials are empirically fitted
to self-diffusion data in pure Ni and Al and render NiAl a triple-def
ect compound. Using the modified EAM potentials we calculate the chemi
cal potentials of Ni and Al, the true formation energies of point defe
cts, and the binding energies of their complexes in NiAl. The data we
obtain can be used for the calculation of the excess energy of extende
d defects (for example, grain boundaries) in NiAl. These data will als
o be used in part II of this work for the analysis of diffusion mechan
isms in NiAl.