Intermediate spin, Schr\"odinger cat states and nano-magnets

Quantum tunneling of nano-magnets finds a natural description in terms of intermediate spin. Periodic magnetic effects correspond to a change of flux by the flux quantum ${\mathrm{\Phi }}_0$. Schr"odinger cat states with different superpositions of the applied magnetic field occur. The molecular magnet Fe${}_8$ is discussed and oscillations are predicted for Mn${}_{12}$.