Physica

06 Dose

Exposure to air dose

D_air = X (W/e) = 0.00876 Gy/R under charged-particle equilibrium.

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Simulation

Exposure to air 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.

Open this machine

Formula

Dair=X(We),We=33.97J/CD_{\mathrm{air}}=X\left(\frac{W}{e}\right),\quad \frac{W}{e}=33.97\,\mathrm{J/C}

Variables

Results

  • D_air

    Air dose

    0.00876Gy

  • D_air

    Air dose

    8.7643mGy

Explanation

Dair=X(We),We=33.97J/CD_{\mathrm{air}}=X\left(\frac{W}{e}\right),\quad \frac{W}{e}=33.97\,\mathrm{J/C}

What it means

Under CPE the energy spent creating ion pairs in air is exactly the absorbed dose in air: multiply exposure (C/kg) by W/e. 1 R = 2.58×10⁻⁴ C/kg × 33.97 J/C = 8.76 mGy. Collision kerma equals this dose under CPE; without CPE (build-up region, MV in air without a cap) kerma and dose part company. 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 exposure in R. Read D_air in Gy and mGy, and the equivalent charge per kg. Same numbers as the exposure calculator in Foundations, grouped here with the other kerma/dose tools. 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 D_air = 0.00876 Gy; D_air = 8.7643 mGy. These are teaching numbers — align them with your machine.

Typical values give

  • D_air = 0.00876Gy
  • D_air = 8.7643mGy

Where it comes from

The displayed formula is the working relation. D_air = X (W/e) = 0.00876 Gy/R under charged-particle equilibrium. Usual reference: ICRU 85 / TG-51. Derive it in the specialty lesson, then return here to pin the numbers.

Reference: ICRU 85 / TG-51

Assumptions & limits

Dry air, Co-60 / diagnostic quality W/e. Humidity (~0.3%) and recombination are separate correction factors. Not a tissue dose — apply the f-factor or μen ratio next.

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, Co-60 / diagnostic quality W/e. Humidity (~0.3%) and recombination are separate correction factors. Not a tissue dose — apply the f-factor or μen ratio next.

Keep this

Trace every gray back to a protocol, a chamber, and a quality index. Dry air, Co-60 / diagnostic quality W/e. Humidity (~0.3%) and recombination are separate correction factors. Not a tissue dose — apply the f-factor or μen ratio next.

In this specialty

Dosimetry