In this article, I review surface-sensitive X-ray scattering experimen
ts using evanescent X-ray scattering and asymptotic Bragg scattering t
echniques which have been carried out in order to investigate the ther
modynamic behaviour of the surface and the subsurface layers when the
bulk of the system approaches a phase transition. I discuss the surfac
e structures of the binary alloys Fe3Al and Cu3Au close to the order-d
isorder transition, the surface of the molecular crystal NH4Br near th
e critical temperature and ice single-crystal surfaces close the bulk
melting paint. The observed surface phenomena range from surface disor
der and surface-induced new universal critical behaviour to surface me
lting and surface segregation. They all have in common that they are n
ot bound to the outermost layers, but rather occur within a surface sh
eet whose thickness can grow to a mesoscopic or even macroscopic size.