A Rigid Unit Mode (RUM) approach is used to investigate the inherent displa
cive structural flexibility of layered and tunnel MxV2O5 framework structur
es. Characteristic low energy modes of distortion of these framework struct
ures are identified which do not distort the essentially rigid constituent
polyhedral units and which enable the framework structures to respond to th
e local crystal chemistry i.e. to the presence (or absence), as well as pos
itioning, of a range of intercalating cations.