Mn ions play an important role in the properties of LaMnO3-based syste
ms. The Mn ions are in the mixed-valence state of the Mn4+ and Mn3+ co
nfigurations. Mn4+ consists of three localized d electrons in t(2g) or
bitals with their spins ferromagnetically coupled and is represented b
y a spin S=3/2. The Mn3+ configuration has an additional localized d e
lectron in one of the e(g), orbitals to form a total spin S+1/2. The e
(g) electron hybridizes with conduction electrons and is assumed to fo
rm an orbital singlet as in the two-channel Kondo problem. The orbital
singlet is partially broken by a small quadrupolar field that lifts t
he degeneracy of the e(g) levels. The quadrupolar response is related
to the Jahn-Teller effect and determines the local distribution of Mn-
O bond lengths. We study the system in the absence of a magnetic held
and in the spin-polarized limit. Both limiting cases yield similar res
ults, suggesting that the quadrupolar susceptibility does not have a s
trong magnetic field dependence.