Transition metal oxi-borates present a variety of interesting physical beha
vior associated with the presence of low-dimensional sub-units (ribbons or
walls) in their structure. When transition metal ions with incomplete shell
s and spin S = 1/2 occupy randomly the octahedral sites in the ribbons we o
bserve the formation of a random singlet phase in these one-dimensional str
uctures. The magnetic behavior of ribbons randomly occupied by transition i
ons of spin S = 1 is also investigated. When the sub-units are walls, we ob
serve the formation of independent magnetic sub-systems which order separat
ely, Homo-metallic systems with mixed valence ions present different types
of charge ordering depending on the relative strength of the electron-elect
ron or electron-phonon interaction. (C) 2001 Elsevier Science B.V. All righ
ts reserved.