In this paper we discuss aspects of the concept described by Somorjai as th
e "flexible surface", and whether some surfaces can be considered to be inf
lexible, or rigid. We present STM results which appear to manifest both typ
es of behaviour for surfaces. depending on their oxidation state. Copper me
tal surfaces can be classed as flexible, showing facile reconstruction in t
he presence of oxygen, whereas an oxidised Pd(110) surface shows no apparen
t diffusivity, even at 500 K. We go on to show data for a bulk oxide which
indicates that sub-stoichiometry in the sample induces an element of flexib
ility in the surface. especially during reaction with oxygen. Finally, this
is related to the direct observation of spillover on model catalysts of Pd
nanoparticles supported on TiO2. It must be recognised that flexibility re
lates to surface diffusivity and hence length- and time-scales. Surfaces wh
ich appear inflexible at short times may be flexible at long times. In rela
tion to catalysis then. surface flexibility depends on the relationship bet
ween the time-scale of diffusive events on the surface and the catalytic tu
rnover number.