The scattering cross-section of a small scatterer, s, can be determined by a known equation:

Hence, from the above equation, the liquids would have a scattering cross-section of zero.

Moreover, the scattering cross-section of a gas is substantially different than a liquid or solid, in part, because a gas bubble can be compressed to a greater degree than a liquid or solid.

st]([lambda]) reduced macroscopic scattering cross-section [[mu].

These effects become important in Equation (10) and are manifest in the macroscopic scattering cross-sections (Eqs.

These results show that the detector system is an accurate device for measuring parameters like particle size, concentration, and

scattering cross-section [C.

In the geometric domain, the

scattering cross-section increased with the square of the frequency, in contrast to the frequency to the fourth power in the Rayleigh domain.

Superfluid helium does not support the formation of bubbles within the target chambers, and more importantly, the small-angle neutron

scattering cross-section of superfluid helium is smaller than normal liquid helium by a factor of 5 [11,12].

P] = The differential

scattering cross-section of a single particle averaged over all orientations.

The normalized differential

scattering cross-sections [k.

On-line monitoring of the target transmission provides a check on the target conditions, since the

scattering cross-sections for ortho and para hydrogen differ by about a factor of 20 in the energy range of interest.

From these cross-sections, both the nuclear and the magnetic

scattering cross-sections could be extracted.