The local geometry, energy stabilization, and pseudolocal t1u vibratio
n mode of the Cu+ impurity in the alkali halide crystals have been inv
estigated with the ab initio perturbed ion cluster-in-the-lattice meth
odology. The electronic structure of different clusters, containing up
to 179 ions, has been computed for nine Cu:AX systems (A=Li, Na, K; X
=F, Cl, Br). The calculations clearly show that the nearest-neighbor r
elaxations induced by impurity substitution are essentially determined
by the substituted cation, the anion playing a rather minor role. In
contrast with predictions deducible from empirical ionic radii, we fin
d negligible or very small relaxations for Cu:LiX systems, and inward
relaxations of about -0.1 angstrom for Cu:NaX systems [in very good ag
reement with recent extended x-ray absorption fine-structure (EXAFS) m
easurements on Cu:NaCI]. For the Cu:KX family we found inward relaxati
ons as large as -0.3 angstrom. The stabilization energy associated to
the substitution reaction turns out to range from -0.2 to -1.8 eV, wit
h a remarkable dependence upon the substituted cation. The t1u frequen
cies, computed without including the intershell coupling, decrease wit
h increasing cationic size, showing a trend that agrees with the exper
imental data reported by McClure for Cu:LiCl, Cu:NaF, and Cu:NaCl. Our
methodology, in its present form, does not reproduce the off-center e
quilibrium position of the Cu+ ion observed in Cu:NaBr, Cu:KCl, and Cu
:KBr.