Microscopic magnetic properties of vanadium oxides. II. ${\mathrm{V}}_3$${\mathrm{O}}_5$, ${\mathrm{V}}_5$${\mathrm{O}}_9$, ${\mathrm{V}}_6$${\mathrm{O}}_{11}$, and ${\mathrm{V}}_6$${\mathrm{O}}_{13}$

The local distributions of magnetization in ${\mathrm{V}}_3$ ${\mathrm{O}}_5$, ${\mathrm{V}}_5$ ${\mathrm{O}}_9$, ${\mathrm{V}}_6$ ${\mathrm{O}}_{11}$, and ${\mathrm{V}}_6$ ${\mathrm{O}}_{13}$ have been determined in their metallic, insulating, and antiferromagnetic insulating phases by means of ${}_{}{}^{51}{}_{}{}^{}\mathrm{V}$ nuclear magnetic resonance. Magnetic inequivalence of atomic sites is found in each phase. At every metal-insulator transition, radical changes in local magnetic properties occur. Increased charge differentiation and localized-moment or spin-paired behavior are found in the insulating phases. In the metallic phases, partial charge differentiation and strongly correlated narrow-band behavior are observed.