Predicting densities of nitrocubanes using partial orders
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abstract
The nitrocubane substitution network shows the pattern by which single nitro-substitutions starting from cubane lead ultimately to octanitrocubane. Of the 22 member species, densities have been experimentally measured for only 8, and we utilise these to estimate the densities of the other 14 members. The network is viewed as a partially ordered set (or poset), which is used for posetic interpolative methods, which in turn differ from conventional QSAR/QSPR procedures based directly on molecular structures. The posetic methods utilised are the "cluster-expansion" and the "splinoid" ones, which turn out to be stable procedures as assessed by the leave-one-out cross-validation technique. 2011 Springer Science+Business Media, LLC.