The influence of the free surface on the structure of the hexagonal ly
otropic mesophase (H-1) of the binary surfactant system pentaoxyethyle
ne-n-dodecylether + water was probed by grazing incidence X-ray diffra
ction. The reflected diffraction patterns consist of hexagonally arran
ged discrete spots showing that the orientation of the (01) lattice pl
anes is parallel to the surface. This orientation extends several micr
ometers into the bulk. We report on experimental evidence for the coex
istence of two lattices with different d-spacings. In the reflected di
ffraction patterns observed at a limited penetration depth of the inci
dent beam, the Bragg spots split into two well-resolved peaks, one of
which disappears as the penetration depth is increased. Analysis of th
e diffraction data reveals the existence of a surface layer of hexagon
ally packed micelles with a lattice constant smaller than the correspo
nding bulk value.