We present a quantitative study of specular and diffuse (nonspecular) x-ray
and neutron reflectivity from highly aligned phospholipid membranes deposi
ted on solid substrates, The height-height correlation function could be ob
tained from the diffuse scattering without further model assumptions. The r
esults differ significantly from the linear theory of smectic elasticity. W
e argue that the diffuse scattering is dominated by static liquid-crystalli
ne defects, rather than thermal fluctuations. [S1063-651X(99)07312-2].