Abstract
It is shown that the spin asymmetry of the elastic transmission of electrons through ferromagnetic films can approach unity. The polycrystalline Co films are a few nanometers thick and saturated with the magnetization $\stackrel{\ensuremath{\rightarrow}}{M}$ in the plane. The contribution of spin-productive scattering events is below $5%$. If the electron spin at incidence is chosen to be perpendicular to $\stackrel{\ensuremath{\rightarrow}}{M}$, it rotates into the direction of $\stackrel{\ensuremath{\rightarrow}}{M}$ and also precesses around it.
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