Physica

06 Dose

IAEA TRS-398 absorbed dose

D_w = M N_{D,w} k_Q. The IAEA twin of TG-51; k_Q is tabulated versus TPR20,10.

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Simulation

IAEA TRS-398 absorbed dose — Change the numbers; the scene follows.

Where it works

Water phantom

Water phantom

Ion chamber

In the water tank under the linac, at the ion chamber — reference dosimetry happens here.

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Formula

Dw=MND,wkQD_w=M\,N_{D,w}\,k_Q

Variables

Results

  • D_w

    Absorbed dose to water

    0.993Gy

  • D_w

    Absorbed dose to water

    99.3cGy

Explanation

Dw=MND,wkQD_w=M\,N_{D,w}\,k_Q

What it means

TRS-398 is the internationally used absorbed-dose-to-water protocol. The chamber carries N_{D,w} at Co-60 from a PSDL/SSDL; you correct the reading M for pT, recombination, polarity, electrometer and apply k_Q for the user’s beam quality. Photon quality is TPR20,10 (not %dd(10)x of TG-51). Numerically D_w agrees with TG-51 to ~0.5–1% when both are done carefully. This is a working relation in Dosimetry.

Where it is used

Clinically it sits on the Water phantom — Ion chamber. In the water tank under the linac, at the ion chamber — reference dosimetry happens here. Dosimetry is the chamber in water under the linac, or the well counter in the hot lab: TG-51, TRS-398, kerma, and recombination. These numbers are the calibration the rest of the department borrows.

Water phantom · Open this machine

How to use it

Enter fully corrected M (nC), N_{D,w} (Gy/nC) and k_Q. A Farmer N_{D,w} ≈ 0.05 Gy/nC, k_Q(6 MV) ≈ 0.993, M = 20 nC → D_w = 0.993 Gy. Change one input and watch the curve and the simulation follow.

Symbols

  • MCorrected reading20 nC
  • N_{D,w}Calibration coefficient0.05 Gy/nC
  • k_QBeam-quality factor0.993

Worked example

A typical case from the default values: M = 20 nC (Corrected reading); N_{D,w} = 0.05 Gy/nC (Calibration coefficient); k_Q = 0.993 (Beam-quality factor). Substituting into the relation gives D_w = 0.993 Gy; D_w = 99.3 cGy. These are teaching numbers — align them with your machine.

Typical values give

  • D_w = 0.993Gy
  • D_w = 99.3cGy

Where it comes from

The displayed formula is the working relation. D_w = M N_{D,w} k_Q. The IAEA twin of TG-51; k_Q is tabulated versus TPR20,10. Usual reference: IAEA TRS-398. Derive it in the specialty lesson, then return here to pin the numbers.

Reference: IAEA TRS-398

Assumptions & limits

M must already include kTP, ksat (Pion), kpol, kelec. k_Q from the TRS-398 table for your chamber type and TPR20,10 — this calculator does not interpolate the table. Cross-calibrated chambers (electrons) use a different k_Q path.

Pitfalls

kQ is for that chamber and that beam quality — not a neighbour's value. Polarity and recombination are measured, not copied. A ⁶⁰Co N_D,w is not an MV calibration until kQ is applied. M must already include kTP, ksat (Pion), kpol, kelec. k_Q from the TRS-398 table for your chamber type and TPR20,10 — this calculator does not interpolate the table. Cross-calibrated chambers (electrons) use a different k_Q path.

Keep this

Trace every gray back to a protocol, a chamber, and a quality index. M must already include kTP, ksat (Pion), kpol, kelec. k_Q from the TRS-398 table for your chamber type and TPR20,10 — this calculator does not interpolate the table. Cross-calibrated chambers (electrons) use a different k_Q path.

In this specialty

Dosimetry