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["HD, IK, 22/06/21",null,"Muon RCS chain parameters"]
[]
[]
[null,null,"Speed of light","c0","[m/s]",299792458]
[null,null,"Electron charge","e0","[10-19C]",1.6021766340000001]
[null,null,"Muon rest mass","mm","[MeV]",105.65837550000001]
[null,null,"Muon lifetime (at rest)","tm","[ms]",2.196981122]
[]
[null,null,null,null,"Unit","RCS-LE (nc)","RCS-ME (hybrid)","RCS-HE (hybrid)",null,"Remark"]
[null,null,"Injection energy","Einj","[TeV]",6.3E-2,0.3,0.75]
[null,null,"Ejection energy","Eej","[TeV]",0.3,0.75,1.5]
[null,null,"Muon survival rate","Nej/Ninj",null,0.9,0.9,0.9]
[]
[null,null,"Circumference","2pR","[km]",5.99,5.99,10.7]
[null,null,"Pack fraction",null,"[]",0.7,0.7,0.7]
[null,null,"Bending radius","r","[km]",{"$f":"F14/2/PI()*F15","v":0.66733667638431715},{"$f":"G14/2/PI()*G15","v":0.66733667638431715},{"$f":"H14/2/PI()*H15","v":1.192070523758296}]
[null,null,"Total straight section length","lSS","[km]",{"$f":"F14*(1-F15)","v":1.7970000000000004},{"$f":"G14*(1-G15)","v":1.7970000000000004},{"$f":"H14*(1-H15)","v":3.2100000000000004}]
[null,null,"Injection bending field (average)","Binj","[T]",{"$f":"$F$6*1000000/$F$4^2*($F$5*0.0000000000000000001)*F30*$F$4/(F$16*1000)/($F$5*0.0000000000000000001)","v":0.3149015892748771},{"$f":"$F$6*1000000/$F$4^2*($F$5*0.0000000000000000001)*G30*$F$4/(G$16*1000)/($F$5*0.0000000000000000001)","v":1.499531377499415},{"$f":"$F$6*1000000/$F$4^2*($F$5*0.0000000000000000001)*H30*$F$4/(H$16*1000)/($F$5*0.0000000000000000001)","v":2.0986432129022181}]
[null,null,"Ejection bending field (average)","Bej","[T]",{"$f":"$F$6*1000000/$F$4^2*($F$5*0.0000000000000000001)*F31*$F$4/(F$16*1000)/($F$5*0.0000000000000000001)","v":1.499531377499415},{"$f":"$F$6*1000000/$F$4^2*($F$5*0.0000000000000000001)*G31*$F$4/(G$16*1000)/($F$5*0.0000000000000000001)","v":3.7488284437485371},{"$f":"$F$6*1000000/$F$4^2*($F$5*0.0000000000000000001)*H31*$F$4/(H$16*1000)/($F$5*0.0000000000000000001)","v":4.1972864258044362}]
[null,null,"Ejection minus injection field","Bej - Binj","[T]",{"$f":"F19-F18","v":1.1846297882245378},{"$f":"G19-G18","v":2.2492970662491221},{"$f":"H19-H18","v":2.0986432129022181}]
[]
[]
[null,null,"Length of normal conducting section","lnc","[km]",null,3.0939999999999999,5.13]
[null,null,"Maximum field, super conducting","Bsc,max","[T]",null,10,10]
[null,null,"Length of super conducting section","lsc","[km]",null,{"$f":"2*PI()*G16-G23","v":1.0989999999999998},{"$f":"2*PI()*H16-H23","v":2.3599999999999994}]
[null,null,"Injection bending field (normal cond.)","-Bnc,inj","[T]",null,{"$f":"(G25*G24-2*PI()*G16*G18)/G23","v":1.5198658481399328},{"$f":"(H25*H24-2*PI()*H16*H18)/H23","v":1.5362889542616729}]
[null,null,"Ejection bending field (normal cond.)","Bnc,ej","[T]",null,{"$f":"(2*PI()*G16*G19-G25*G24)/G23","v":1.5283896782927009},{"$f":"(2*PI()*H16*H19-H25*H24)/H23","v":1.5278119550244118}]
[]
[]
[null,null,"Injection relativistic mass factor","ginj","[]",{"$f":"F10*1000000000000/($F$6*1000000)","v":596.26129686235811},{"$f":"G10*1000000000000/($F$6*1000000)","v":2839.3395088683719},7098.3487721709289]
[null,null,"Injection relativistic mass factor","gej","[]",2839.3395088683719,{"$f":"G11*1000000000000/($F$6*1000000)","v":7098.3487721709289},14196.697544341858]
[]
[null,null,"Revolution frequency","frev","[kHz]",{"$f":"$F$4/(F14*1000)/1000","v":50.048824373956592},{"$f":"$F$4/(G14*1000)/1000","v":50.048824373956592},{"$f":"$F$4/(H14*1000)/1000","v":28.017986728971962}]
[]
[null,"Linear ramp","Gradient for survival","G","[MV/m]",{"$f":"-LN(F11/F10)/LN(F12)*($F$6*1000000)*($F$5*0.0000000000000000001)/($F$7*0.000001)/$F$4/($F$5*0.0000000000000000001)/1000000","v":2.3762049902816398},{"$f":"-LN(G11/G10)/LN(G12)*($F$6*1000000)*($F$5*0.0000000000000000001)/($F$7*0.000001)/$F$4/($F$5*0.0000000000000000001)/1000000","v":1.3951223855922537},{"$f":"-LN(H11/H10)/LN(H12)*($F$6*1000000)*($F$5*0.0000000000000000001)/($F$7*0.000001)/$F$4/($F$5*0.0000000000000000001)/1000000","v":1.05536934345217},null,"Constant acceleration with linear energy increase"]
[null,null,"Acceleration time","Tacc","[ms]",{"$f":"(F11-F10)*1000000000000/(F35*1000000)/$F$4*1000","v":0.33269305840735602},{"$f":"(G11-G10)*1000000000000/(G35*1000000)/$F$4*1000","v":1.0759188182293178},2.3704788560589081]
[null,null,"Number of turns","nturn",null,{"$f":"(F36*0.001)*(F33*1000)","v":16.650896450664249},{"$f":"(G36*0.001)*(G33*1000)","v":53.848471974194055},{"$f":"(H36*0.001)*(H33*1000)","v":66.416045130367138}]
[null,null,"Ramp rate","dB/dt","[kT/s]",{"$f":"(F19-F18)/(F36/1000)/1000","v":3.560728900974103},{"$f":"(G27+G26)/(G36*0.001)/1000","v":2.833164988645954},{"$f":"(H27+H26)/(H36*0.001)/1000","v":1.2926084117790331}]
[null,null,"Maximum energy gain per turn","DE","[GeV]",{"$f":"(F11-F10)*1000000000000/(F36*0.001)/(F33*1000)/1000000000","v":14.23346789178702},{"$f":"(G11-G10)*1000000000000/(G36*0.001)/(G33*1000)/1000000000","v":8.3567830896975988},{"$f":"(H11-H10)*1000000000000/(H36*0.001)/(H33*1000)/1000000000","v":11.292451974938217},null,"No overvoltage!"]
[null,null,"Average gradient per straight length","DE/l","[MV/m]",{"$f":"F39/(F17*1000)*1000","v":7.920683300938796},{"$f":"G39/(G17*1000)*1000","v":4.6504079519741772},{"$f":"H39/(H17*1000)*1000","v":3.5178978115072326}]
[]
[null,null,"Stable phase","fS","[°]",45,45,45]
[null,null,"Bucket area reduction factor","AB/AB,st","[]",0.16269750365297558,0.16269750365297558,0.16269750365297558]
[null,null,"RF voltage per turn","VRF","[GV]",{"$f":"F39/SIN(F42/180*PI())","v":20.129163332167192},{"$f":"G39/SIN(G42/180*PI())","v":11.818275983260483},15.969938735404471]
[null,null,"Gradient per straight length (50% RF)","DE/l","[MV/m]",{"$f":"F44/(F17*1000)*1000*2","v":22.403075494899483},{"$f":"G44/(G17*1000)*1000*2","v":13.153339992499141},{"$f":"H44/(H17*1000)*1000*2","v":9.9501175921523171},null,"50% of straight section length available to RF"]
[null,null,"Phase slip factor","h","[]",2.3999999999999998E-3,2.3999999999999998E-3,2.3999999999999998E-3]
[null,null,"Transition gamma","gtr","[]",{"$f":"SQRT(1/F46)","v":20.412414523193153},{"$f":"SQRT(1/G46)","v":20.412414523193153},{"$f":"SQRT(1/H46)","v":20.412414523193153}]
[null,null,"RF frequency","fRF","[MHz]",1300,1300,1300]
[null,null,"Harmonic number","h","[]",{"$f":"ROUND(F48*1000/F33,0)","v":25975},{"$f":"ROUND(G48*1000/G33,0)","v":25975},{"$f":"ROUND(H48*1000/H33,0)","v":46399}]
[]
[null,null,"Injection synchrotron frequency","fS,inj","[kHz]",{"$f":"SQRT(F$49*F$46*(2*PI()*(F$33*1000))^2*($F$5*0.0000000000000000001)*(F$44*1000000000)*COS(F$42/180*PI())/(2*PI()*(F10*1000000000000*($F$5*0.0000000000000000001))))/(2*PI())/1000","v":74.932881524904502},{"$f":"SQRT(G$49*G$46*(2*PI()*(G$33*1000))^2*($F$5*0.0000000000000000001)*(G$44*1000000000)*COS(G$42/180*PI())/(2*PI()*(G10*1000000000000*($F$5*0.0000000000000000001))))/(2*PI())/1000","v":26.311540906532922},{"$f":"SQRT(H$49*H$46*(2*PI()*(H$33*1000))^2*($F$5*0.0000000000000000001)*(H$44*1000000000)*COS(H$42/180*PI())/(2*PI()*(H10*1000000000000*($F$5*0.0000000000000000001))))/(2*PI())/1000","v":14.473395062676204}]
[null,null,"Injection synchrotron tune","fS,inj/frev","[]",{"$f":"F51/F$33","v":1.4971956377040612},{"$f":"G51/G$33","v":0.52571746161183353},{"$f":"H51/H$33","v":0.51657512735238786}]
[null,null,"Injection bucket area","AB,inj","[eVs]",{"$f":"8*SQRT(2)/(F$49*(2*PI()*(F$33*1000)))*SQRT((F10*1000000000000*($F$5*0.0000000000000000001))*($F$5*0.0000000000000000001)*(F$44*1000000000)/(PI()*F$49*F$46))/($F$5*0.0000000000000000001)*F$43","v":0.57343126799921484},{"$f":"8*SQRT(2)/(G$49*(2*PI()*(G$33*1000)))*SQRT((G10*1000000000000*($F$5*0.0000000000000000001))*($F$5*0.0000000000000000001)*(G$44*1000000000)/(PI()*G$49*G$46))/($F$5*0.0000000000000000001)*G$43","v":0.95881744010070091},{"$f":"8*SQRT(2)/(H$49*(2*PI()*(H$33*1000)))*SQRT((H10*1000000000000*($F$5*0.0000000000000000001))*($F$5*0.0000000000000000001)*(H$44*1000000000)/(PI()*H$49*H$46))/($F$5*0.0000000000000000001)*H$43","v":1.3185841443794712}]
[null,null,"Ejection synchrotron frequency","fS,ej","[kHz]",{"$f":"SQRT(F$49*F$46*(2*PI()*(F$33*1000))^2*($F$5*0.0000000000000000001)*(F$44*1000000000)*COS(F$42/180*PI())/(2*PI()*(F11*1000000000000*($F$5*0.0000000000000000001))))/(2*PI())/1000","v":34.338560162903285},{"$f":"SQRT(G$49*G$46*(2*PI()*(G$33*1000))^2*($F$5*0.0000000000000000001)*(G$44*1000000000)*COS(G$42/180*PI())/(2*PI()*(G11*1000000000000*($F$5*0.0000000000000000001))))/(2*PI())/1000","v":16.640879602667109},{"$f":"SQRT(H$49*H$46*(2*PI()*(H$33*1000))^2*($F$5*0.0000000000000000001)*(H$44*1000000000)*COS(H$42/180*PI())/(2*PI()*(H11*1000000000000*($F$5*0.0000000000000000001))))/(2*PI())/1000","v":10.234235795610241}]
[null,null,"Ejection synchrotron tune","fS,ej/frev","[]",{"$f":"F54/F$33","v":0.68610123399365397},{"$f":"G54/G$33","v":0.33249291688310578},{"$f":"H54/H$33","v":0.36527377554317786}]
[null,null,"Injection bucket area","AB,ej","[eVs]",{"$f":"8*SQRT(2)/(F$49*(2*PI()*(F$33*1000)))*SQRT((F11*1000000000000*($F$5*0.0000000000000000001))*($F$5*0.0000000000000000001)*(F$44*1000000000)/(PI()*F$49*F$46))/($F$5*0.0000000000000000001)*F$43","v":1.251329614981386},{"$f":"8*SQRT(2)/(G$49*(2*PI()*(G$33*1000)))*SQRT((G11*1000000000000*($F$5*0.0000000000000000001))*($F$5*0.0000000000000000001)*(G$44*1000000000)/(PI()*G$49*G$46))/($F$5*0.0000000000000000001)*G$43","v":1.51602348550514},{"$f":"8*SQRT(2)/(H$49*(2*PI()*(H$33*1000)))*SQRT((H11*1000000000000*($F$5*0.0000000000000000001))*($F$5*0.0000000000000000001)*(H$44*1000000000)/(PI()*H$49*H$46))/($F$5*0.0000000000000000001)*H$43","v":1.8647595801115717}]