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Synthesis of new elements at the upper border of the charts of nuclei andinvestigation of their decay properties and nuclear structure has been one ofthe main research topics in low energy nuclear physics since more than fivedecades. Main items are the quest for the heaviest nuclei that can exist andthe verification of the theoretical predicted spherical proton and neutronshells at Z = 114, 120 or 126 and N = 172 or 184. The scope of the presentpaper is to illustrate some technical and physical aspects in investigation ofthe heaviest nuclei ('superheavy nuclei') and to critical discuss some selectedresults, which from a strict scientific point of view are not completely clearso far, making partly also suggestions for alternatively interpretations. Acomplete review of the whole field of superheavy element research, however, isout of the scope of this paper.

Some Aspects on Identification, Decay Properties and Nuclear Structure of the Heaviest Nuclei