In this paper the perturbation expressions of the g(z) and g(x) factor
s of the 3d(9) ions with (2)A(1g) ground state in a tetragonal crystal
field are obtained by a molecular orbital approach. Using these formu
lae the g(z) and g(x) factors of the NH4X:Cu2+ (X=Cl, Br, I) crystals
are calculated. The results show that the contribution of the spin-orb
it coupling from ligands is small for the Cu2+-Cl- cluster but signifi
cant for the Cu2+-I- cluster. The theoretical difficulties of pure cry
stal-field model in these compounds, namely the sign of the Delta g(z)
(=g(z)-g(s)) in NH4I:Cu2+ being opposite to the experimental, and the
order of the g(z) (zeta(d)) (NH4Cl:Cu2+ > NH4Br:Cu2+ > NH4I:Cu2+) bei
ng opposite to the measured one (NH4Cl:Cu2+ < NH4Br:Cu2+ < NH4I:Cu2+),
hence removed.