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Energy lost = Dose deposition

• Heavy charged particle follow the Bethe-Bloch formula:

(

)

+ −





⋅ ⋅

=

SDBB

I

W cm

A

Z z K

ds

dE

e

2

2

2

max

2 2

2

2

1

2 ln

2

1

1

β

β

β

β

ρ

• First approximation:

1/

v

2

Bragg peak

H. Bethe: Annalen der Physik. 397, Nr. 3, 1930