The inventive perfluoronated cycle-containing tertiary amines (PFCTA) of general formula (1) where n=1 or 2; m=2 or 3 X represents or , at n=2 X represents are used as a basis for gas conveying emulsions. PFCTA is a group of compounds near to perfluor-N-(4-methylcyclohexyl)-piperidine with respect to the properties thereof, in particular with respect to a critical solution temperature in hexane. Said compounds are used in a mixture, thereby producing a range of compounds which exhibit gradually changing characteristics and making it possible to obtain highly uniform fluorocarbon phases of the emulsions and to increase the stability of emulsion particles which are stabilised with the aid of ethylene oxide-propylene oxide block polymers without being toxic for small and large animals. The PFCTA is produced by electrochemical fluorination of n-piperidine heptane fluor toluene in anhydrous hydrogen fluoride. The use of said PFCTA mixture instead of the individual perfluor-N-(4-methylcyclohexyl)-piperidine makes it possible to simplify, accelerate and lower the price of the production of perfluoronated organic compounds and extend the use of gas conveying emulsions produced on the basis thereof.