Manganese ions in a mixed valent state of two magnetic L configuration
s, Mn4+ and Mn3+, play an important role in the magnetoresistance of L
aMnO3-based systems. We consider a Mn impurity with the Mn4+ represent
ed by a spin S-3/2 (three localized d electrons in the t(2g) orbitals
with their spins ferromagnetically coupled) and the Mn3+ configuration
having an additional localized d electron in one of the e(g) orbitals
to form a total spin (S + 1/2). The e(g) electron hybridizes with the
conduction electrons and the multiple occupancy of the eg level is ex
cluded by a large Coulomb energy. This gives rise to a quadrupolar Kon
do effect,which compensates the orbital degrees of freedom into a quad
rupolar singlet, and interferes with the usual spin Kondo effect. We c
alculate the ground slate energy, valence, charge susceptibility and t
he quadrupolar susceptibility as a function of the energy of the e(g)
level in zero-magnetic field and for the spin-polarized Limit (ferroma
gnetic lattice). The methods used are a mean-field slave-boson formula
tion, the noncrossing diagram approximation (NCA) and the Bethe ansatz
. Both, the charge and quadrupolar susceptibilities, are larger in the
spin-polarized lattice, indicating that this state is more favorable
for charge order and lattice distortions.