ESTRO PT 2018
Energy loss of charged particles
Bethe formula: The average energy loss increases quadratically with the inverse velocity (1/v 2 ) and the charge of the particle (Z 2 )!
R=16cm H2O
Protons Carbon
Energy (MeV/u)
150
300
Velocity (v/c)
0,26
0,43
Charge (Z)
1
6
Energy loss (Mev/cm)
5,5
128,1
Hans Bethe 1930
The energy loss of a carbon ion is much higher than for protons. Where does this energy go? Very many low energy electrons are produced!
Oliver Jäkel
Medical Physics
Page 8
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