[en] By using the method of chemical enrichment (coprecipitation, cementation, sorption, extraction etc.) the isolation of trace elements from the hot brines of the Cheleken peninsula was carried out. Some 10-15 m³ of brine were processed in a single experiment. The concentration factor for the trace elements reached the value 10³-10⁵. The samples obtained were studied using a ³He-counter neutron- multiplicity detector. No spontaneously fissioning nuclide (SFN) was revealed in the samples at a detection limit of 10^-13 g/g. The possible explanations of that are discussed. On the basis of the special study of the chemical forms of the trace elements, the possible analogs of superheavy elements in hot brines, and from the analysis of the results of the present and previous searches for the SFN in Cheleken hot brines an assumption has been advanced that the SFN is present in the brines as compounds with organic admixtures, like gold and mercury are. Prospects of further work aimed at detecting the SFN in Cheleken hot brines are discussed