uter ons ▁to ▁be ▁acceler ated ▁are ▁made ▁to ▁move ▁in ▁circles ▁of ▁increasing ▁radius . ▁The ▁acceleration ▁of ▁particles ▁takes ▁place ▁as ▁they ▁enter ▁or ▁leave ▁the ▁de e . ▁At ▁the ▁outer ▁edge , ▁the ▁ion ▁beam ▁can ▁be ▁removed ▁with ▁the ▁aid ▁of ▁electro static ▁def lect or . ▁The ▁first ▁syn ch ro cy cl ot ron ▁produced ▁ 1 9 5   Me V ▁de uter ons ▁and ▁ 3 9 0   Me V ▁α - part icles . ▁ ▁D iffer ences ▁from ▁the ▁classical ▁cycl ot ron ▁In ▁a ▁classical ▁cycl ot ron , ▁the ▁angular ▁frequency ▁of ▁the ▁electric ▁field ▁is ▁given ▁by ▁ ▁, ▁Where ▁ ▁is ▁the ▁angular ▁frequency ▁of ▁the ▁electric ▁field , ▁ ▁is ▁the ▁charge ▁on ▁the ▁particle , ▁ ▁is ▁the ▁magnetic ▁field , ▁and ▁ ▁is ▁the ▁mass ▁of ▁the ▁particle . ▁This ▁makes ▁the ▁assumption ▁that ▁the ▁particle ▁is ▁classical , ▁and ▁does ▁not ▁experience ▁relativ istic ▁phen omena ▁such ▁as ▁length ▁contra ction . ▁These ▁effects ▁start ▁to ▁become ▁significant ▁when ▁, ▁the ▁velocity ▁of ▁the ▁particle ▁greater ▁than ▁. ▁To ▁correct ▁for ▁this , ▁the ▁relativ istic ▁mass ▁is ▁used ▁instead ▁of ▁the ▁rest ▁mass ; ▁thus , ▁a ▁factor ▁of ▁ ▁multip lies ▁the ▁mass , ▁such ▁that ▁, ▁where ▁. ▁This ▁is ▁then ▁the ▁angular ▁frequency ▁of ▁the ▁field ▁applied ▁to ▁the ▁particles ▁as ▁they ▁are ▁acceler ated ▁around ▁the ▁syn ch ro cy cl ot ron . ▁ ▁Adv antages ▁