A nut graph is a connected simple graph with nullity one that has a full kernel eigenvector. In the context of \( \pi \) systems, chemical nut graphs are identical with the subcubic nut graphs. Chemical nut graphs are of interest for at least two reasons: the possibility of fully distributed radical reactivity arising from partial occupation of their sole non-bonding orbital, and their identification with the class of strong omniconductors of nullity one in source-and-sink models of ballistic molecular conduction. In this note, a mapping between the Hückel tight-binding theory of \( \pi \)-conjugated carbon frameworks and the Telegraph equations for networks of coaxial cables is described. This mapping motivates experimental realisation of chemical nut graphs, where the radio-frequency resonances of the cable network correspond to the spectrum of a weighted version of the molecular graph. In particular, measurements with a vector network analyser give direct access to the nullstate of the cable network, and hence to a simulation of the non-bonding molecular orbital of the \( \pi \) system. We demonstrate the distributed nature of the kernel eigenvector, which underpins the description of chemical reactivity, omni-conduction and electrical properties, for the cable models of the smallest chemical nut graph, and the three smallest nut graphs. We also show the feasibility of larger cable networks obtainable by known constructions for infinite families of nut graphs.