The further development of turbo-compressors has shown that improvements in design are possible by matching the design of the cryogenic cycle to that of the compressor. Different possibilities of the beam screen Nelium Turbo-Brayton cycle arrangement are analysed. The cryogenic cycles with different arrangements of the pre-cooling turbine are studied and compared including the number of necessary turbo-compressor stages. The final concept of the system is described. A reasonable neon-helium mixture composition for efficient process performance and reduced cost will be proposed.