A general
theory of the chiral induced spin selectivity (CISS)
effect is presented. It is based on the fact that the spin–orbit
(SO) coupling is small, a few meV, for the light atoms, which make
up typical chiral molecules in experiments. We present a theorem based
on the Onsager reciprocal principle, which states that the CISS effect
vanishes when thermally averaging over all electron states. This zero
result is avoided by the very nonthermal character of the incoming
optically generated electrons in experimental realizations. Despite
the small SO-coupling, the presence of accidental degeneracies in
the molecular spectrum yields a sizable spin polarization. The CISS
effect in the presence of magnetic leads is special. We prove that,
in a situation with one magnetic lead, the other lead will become
magnetized. This results from the interplay between the spin–orbit
coupling in the chiral molecule and the magnetized lead. Numerical
calculations for realistic chiral molecules confirm the theory.