Topology short-range

TSRO topological short-range ordering XPS X-ray photoelectron spectroscopy... 

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. 

Both ZK4 and faujasite exhibit short range statistical order which can be rationalized in terms of a competition between the statistics of the step in which the sodalite cage is formed and the tendency of the system to avoid Al, Al next nearest neighbor interactions. The basic difference between the two systems can be understood in terms of the difference in the severity of the constraint imposed by Loewenstein s rule for the formation of a sodalite cage from four ordered 6R s in the case of faujasite or from six 4R s or D4R s in the case of ZK4. The local order in faujasite can be considered as "frozen in" by the topological constraint imposed by the ordered 6R sub-units. As such this order is more a property of the sub-unit than a manifestation of next nearest neighbor interactions in the faujasite crystal. By contrast the next nearest neighbor interaction in ZK4 cannot be... 

The TT descriptor is a topological analogue of the 3D torsion angle, defined by four consecutively bonded atoms. The topological torsion is a short-range descriptor, that is, it is sensitive only to local changes in the molecule and is independent of the total number of atoms in the molecule. 

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