Corrections to scaling for critical scattering
Abstract
An equation including the first corrections to scaling for the intensity of smallangle xray and neutron scattering from a fluid near its liquidvapor critical point has been obtained. In the OrnsteinZernike equation, which, as a number of experiments have verified, is a very good approximation of the inner part of the critical scattering curve, the first corrections to scaling can be made by substitution of expressions for the reduced susceptibility and the longrange correlation length which includes these corrections. (For a onecomponent fluid, the reduced susceptibility is proportional to the isothermal compressibility.) The amplitude of the corrections to scaling in the OrnsteinZernike equation has been estimated. One of these corrections was found to have a sign opposite to that determined in an earlier fit of smallangle xrayscattering data. This difference may be caused by the fact that previous studies did not consider the slowly changing background scattering from the smallangle tail of the principal maximum of the scattering from the atoms in the fluid.
 Publication:

Physical Review B
 Pub Date:
 September 1981
 DOI:
 10.1103/PhysRevB.24.2773
 Bibcode:
 1981PhRvB..24.2773S