Elastic-scattering cross sections of photons for momentum transfer in
the range 0.1 less than or equal to x less than or equal to 2. 2 Angst
rom(-1) with E(gamma) = 59.5 and 316 keV were measured in order to tes
t the limits of momentum transfer within which the scattering by real
samples can be considered as being due to free-atom Rayleigh scatterin
g. Polycrystalline aggregate, liquid, perfect-single-crystal, and crys
tal powder samples were used as scatterers. The measurements for E(gam
ma) = 316 and 59.5 keV were carried out in the angular ranges theta =
0.5 degrees-10 degrees and 2 degrees-23 degrees with a geometrical res
olution of 0.1 degrees and 1 degrees, respectively. At the present tim
e, most of the experimental data on elastic photon scattering have bee
n measured using solid molecular structures as scatterers. The present
results allow the conclusion that highly precise data (Delta d sigma/
d Omega less than or equal to 2%) on elastic scattering of photons can
be compared with free-atom Rayleigh-scattering theories only for x >
2 Angstrom(-1).