  Formulas for the contribution of the conduction electrons to the polarization
and magnetization are derived for disordered systems and within a one-particle
framework. These results generalize known formulas for Bloch electrons and the
presented proofs considerably simplify and strengthen prior justifications. The
new formulas show that orbital polarization and magnetization are of geometric
nature. This leads to quantization for a periodically driven Piezo effect as
well as the derivative of the magnetization w.r.t. the chemical potential. It
is also shown how the latter is connected to boundary currents in Chern
insulators. The main technical tools in the proofs are an adaption of Nenciu's
super-adiabatic theory to C$^*$-dynamical systems and Bellissard's Ito
derivatives w.r.t. the magnetic field.
