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I do know that for large particle accelerators ( LHC, Fermilab) that the use of cryogenics is used, which is anything below -150C. LHC for example uses liquid helium to create a temperature of about 4K. For smaller particle accelerators though, lets say around 3m in diameter, is the use of cryogenics needed and if so would it need to be cooled to such an extreme temperature?