Physica

06 Dose

Exposure to dose in air

D_air = X · (W/e). 1 R ≈ 8.76 mGy in air.

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Simulation

Exposure to dose in air — 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.

Open this machine

Formula

Dair=X(W/e)D_{\mathrm{air}} = X \cdot (W/e)

Variables

Results

  • X

    Exposure

    0.000258C/kg

  • D_air

    Dose in air

    0.00876Gy

  • D_air

    Dose in air

    8.764mGy

Explanation

Dair=X(W/e)D_{\mathrm{air}} = X \cdot (W/e)

What it means

Exposure X (ionisation in air) converts to dose in air by W/e = 33.97 J/C. With 1 R = 2.58×10⁻⁴ C/kg this is 8.76 mGy/R in air. The f-factor then takes you from air to tissue. 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 roentgen. Pair with the f-factor calculator for muscle or bone. Modern kV dosimetry prefers air kerma (Gy) over R. Change one input and watch the curve and the simulation follow.

Symbols

  • XExposure1 R

Worked example

A typical case from the default values: X = 1 R (Exposure). Substituting into the relation gives X = 0.000258 C/kg; D_air = 0.00876 Gy; D_air = 8.764 mGy. These are teaching numbers — align them with your machine.

Typical values give

  • X = 0.000258C/kg
  • D_air = 0.00876Gy
  • D_air = 8.764mGy

Where it comes from

The displayed formula is the working relation. D_air = X · (W/e). 1 R ≈ 8.76 mGy in air. Usual reference: Attix. Derive it in the specialty lesson, then return here to pin the numbers.

Reference: Attix

Assumptions & limits

Dry air, W/e at calibration quality. Does not include backscatter (that is BSF on ESD) or medium absorption.

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. Dry air, W/e at calibration quality. Does not include backscatter (that is BSF on ESD) or medium absorption.

Keep this

W/e = 33.97 J/C. 1 R = 2.58×10⁻⁴ C/kg.

In this specialty

Dosimetry