“…Recently, Berry recalled [8], instructively, the diversity of fundamental ideas and paths leading to his concept and related geometrical and topological phases. Here we explain our recent observations [9] in terms of a geometric Berry phase [10,11] where, in a free single atom with only two electrons in the outer valence orbits, spin-polarized electron exchange excitation from a singlet S = 0, M S = 0 to a triplet S = 1, M S = 0 state is described essentially as parallel movement of electron spin around a closed path with an inherent phase change of π radians in the wave function. The process causes alignment rather than polarization of the electron charge cloud.…”