  Based on geometric phases of Bloch electrons computed from first-principles,
we propose a scheme for unambiguous partitioning of charge in matter, derivable
directly from the Kohn-Sham states. Generalizing the fact that geometric phases
acquired by electrons due to evolution of their crystal momentum $\vec k$ in a
direction through out the Brillouin zone(BZ), provide position of their
localization with net minimum spread along the corresponding direction in real
space. We find that the total charge can be meaningfully distributed into
charge centres simultaneously contributed by triads of electrons with their
crystal momentum evolving linearly independently through each unique $\vec k$
across the BZ. The resultant map of charge centres readily renders not only the
qualitative nature of inter-atomic as well as intra-atomic hybridization of
electrons, but also unbiased quantitative estimates of electrons on atoms or
shared between them, as demonstrated in a select variety of isolated and
periodic systems with varying degree of sharing of valence electrons among
atoms, including variants of multi-centered bonds.
