Asymptotic behaviour of incoherent scattering functions

The exact asymptotia behaviour of the incoherent scattering function S(K) is found to be related to the behaviour of the weighted pair distribution near the origin rather than the pair distribution function as previously reported in the literature. The expression may be simplified by employing the electron-electron cusp condition to show that the asymptotic behaviour of S(K) is determined by the wavefunction at the electron-electron singularity.