The average cluster size as a function of beam incident angle.
Data were obtained for ALPIDE sensor at Vbb=0V and at Vbb=-3V using a 6 GeV/c pi^{-} beam at the Proton Synchrotron at CERN.
TID and NIEL are calculated from the proton flux ( Ekin = 30 MeV)
For 2.7 Mrad we had a total fluence of F= 1.14763e+13 protons cm^{-2}
NIEL is calculated as NIEL = D*F where D is taken from https://rd50.web.cern.ch/rd50/NIEL/default.html
There one can find that for 30 MeV proton D/(95 MeV mb ) = 2.346
This gives the total accumulated NIEL = 2.69e13 1_MeV_neq/cm^{-2} which we rounded to 2.7e13 1_MeV_neq/cm^{-2}
TID is calculated from the formula TID [krad] = 1.60 E-8 * LET [MeV*cm^2/mg] * F[cm^-2]
where LET for 30 MeV protons in silicon is 1.476E-02 MeV*cm^2/mg (taken from SRIM)