Native point defects in yttrium aluminum garnet (YAG) are studied in the fr
amework of the pair-potential approximation, coupled with the shell-model d
escription of the lattice ions. For the perfect lattice, a new set of poten
tial parameters is obtained; these parameters reproduce the structure, elas
tic, and dielectric constants of YAG very well. The calculated formulation
energies for native defects suggest that antisite disorder is preferred ove
r Frenkel and Schottky-like disorder in YAG. The calculated values of the d
istortion that is caused by the antisite Y atom that substitutes in the Al
site in the lattice are in excellent agreement with the extended,X-ray abso
rption fine-structure (EXAFS) measurements. In nonstoichiometric YAG, the c
alculated reaction energies indicate that excess Y2O3 or Al2O3 most likely
is accommodated by the formation of antisites, rather than vacancies, in th
e lattice.