The inner structure of condensed phase domains in monolayers at the ai
r-water interface is studied by Brewster angle microscopy. Condensed p
hase domains of l-monoglycerides exhibit a 7-fold substructure. Seven
segments of different molecular orientation meet at a center. The atte
ntion is focused on the orientational relations of the partial lattice
s separated by a sharp boundary for explaining the observed segment nu
mber. The boundary lines of the segments are considered to be along de
nse lattice rows. Thus a defined change of the molecular orientation o
ccurs at a segment boundary. The interdependence of the lattice parame
ters and the number of segments is described based on a centered ortho
rhombic lattice. The geometrical analysis of the inner domain structur
e shows that the chains are tilted along the bisector of each segment
and that the segment boundaries are along next nearest neighbor direct
ions.