  When a cerocene molecule is chemisorbed on metallic substrate, or when an
asymmetric double dot is hybridized with itinerant electrons, its singlet
ground state crosses its lowly excited triplet state, leading to a competition
between the Zhang-Rice mechanism of singlet-triplet splitting in a confined
cluster and the Kondo effect (which accompanies the tunneling through quantum
dot under a Coulomb blockade restriction). The rich physics of an underscreened
S=1 Kondo impurity in the presence of low-lying triplet/singlet excitations is
exposed. Estimates of the magnetic susceptibility and the electric conductance
are presented.
