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RTH-18

Electron practical range

Rp (cm water) ≈ E(MeV)/2. The bedside rule of thumb.

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ElectronsRule of thumb Rp

Governing equation

RpE/2R_p\approx E/2

where

E
Beam energy (MeV)
R_p
Practical range (cm)

Lecture brief

Historical brief

The linear-quadratic model, BED, tissue-maximum ratio and Clarkson scatter turned radiotherapy into fraction arithmetic. MU calculation on these sheets is that clinical closed form. This sheet (RTH-18 — Electron practical range) is the form associated with Rule of thumb Rp. Working symbols: EE \rightarrow RpR_p. A 9 MeV beam stops near 4.5 cm. Choose energy so Rp sits just beyond the target.

Purpose

Purpose: compute RpR_p from EE in Radiotherapy via RpE/2R_p\approx E/2 Rp (cm water) ≈ E(MeV)/2. The bedside rule of thumb. Use it when a real radiotherapy question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given E=9.000MeVE = 9.000\,\mathrm{MeV}, the governing relation RpE/2R_p\approx E/2 yields Rp=4.50cmR_p = 4.50\,\mathrm{cm}. A pencil of electrons dying at Rp. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

Outputs

  • Practical range R_p4.50 cm
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RTH-18 · dose
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Narration of this film

A pencil of electrons dying at Rp.

A 9 MeV beam stops near 4.5 cm. Choose energy so Rp sits just beyond the target.

Reading speed

Watch on YouTube