Isotropic Chord Length Distributions CLD

The isotropic chord length distribution (CLD) is of limited practical value if soft matter with only short-range order is studied. Nevertheless, the related notions have been fruitful for the development of new methods for topology visualization from SAXS data. 

Related Notions. Not only the ID correlation function, but also the general 3D correlation function starts with a linear decay, and its series expansion 

In the sketch taken from a handout of Tchoubar the distributions i (r) and 2 (r) are separated extraordinarily well. 

For a general, isotropic and condensed multiphase material with short-range order, the CLD offers the best possible model-free visualization of the nanostructure. Nevertheless, the image does not show many details because of the inherent solid-angle average. 

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