The difference between the correct asymptotic limit, 1, and the sampled, g N,0 lm , 1 -g N,0 lm is used in a smooth switching function, where α lm controls the smoothness of the switch from g N,0 lm to 1. κ lm represents an effective diameter with which particle of type l and m displace each other, as it is taken to be twice the distance at which g lm (r) starts to be different from zero. This RDF-correction grows in at larger r, and leaves the local structure untouched. However, from the definition of the RDF in eq. 1, the 1/ρ m normalization should be applied over the entire r-range. This correction is more akin to the often applied "damping" or "windowing" functions used ubiquitously in forward modeling as well as in inversion methods , which we will address in the next section.