  We show that in non-collinear magnetic molecules, non-adiabatic (dynamical)
effects due to the electron-vibron coupling are time-reversal symmetry breaking
interactions for the vibrational field. As in these systems the electronic
wavefunction can not be chosen as real, a nonzero geometric vector potential
(Berry connection) arises. As a result, an intrinsic nonzero vibrational
angular momentum occurs even for non-degenerate modes and in the absence of
external probes. The vibronic modes can then be seen as elementary quantum
particles carrying a sizeable angular momentum. As a proof of concept, we
demonstrate the magnitude of this topological effect by performing
non-adiabatic first principles calculations on platinum clusters and by showing
that these molecules host sizeable intrinsic phonon angular momenta comparable
to the orbital electronic ones in itinerant ferromagnets.
