RPR-21

Committed effective dose

E(τ) = I e(τ). Intake times the committed effective-dose coefficient.

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InternalICRP 119 e(τ)

Governing equation

E(\tau)=I\,e(\tau)

$I \in \left[0.01, 10000\right]$

where

I: Intake (kBq)
e(\tau): Dose coefficient e(τ) (nSv/Bq)
E(\tau): Committed effective dose (mSv)

The figure, part by part

Each numbered marker wears the color of its card. Hover a card to light the marker. Tap a marker to jump to that card. The slider walks a red point along the curve; Animate drawing traces it like a pen.

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①

Governing law — red

E(\tau)=I\,e(\tau)

$I \in \left[0.01, 10000\right]$

$I = 0.01$ $E(\tau) = 2\times 10^{-4}$

Along the curve

②

Domain of the variable — blue

I_{\min} = 0.01,\quad I_{\max} = 10000

$I \in \left[0.01, 10000\right]$

$I = 0.01$ $I = 0.01$

Along the curve

③

Response curve — green

E(\tau)=I\,e(\tau)

$I \in \left[0.01, 10000\right]$

$I = 0.01$ $E(\tau) = 2\times 10^{-4}$

Along the curve

④

Rate of change — amber

\frac{\mathrm{d}E(\tau)}{\mathrm{d}I}

$I \in \left[0.01, 10000\right]$

$I = 62.9$ $E(\tau)^{\prime} = 0.02$

Along the curve

Lecture brief

Historical brief

Inverse-square, half-value layer, ICRP weighting and ALARA are the protection craft since the 1920s commissions. The lab computes transmission, equivalent dose and a shielding snapshot. This sheet (RPR-21 — Committed effective dose) is the form associated with ICRP 119 e(τ). Working symbols: $I$ , $e(\tau)$ $\rightarrow$ $E(\tau)$ . τ is 50 y for adults, 70 y for children. e(τ) folds biokinetics and wT,wR. Inhalation and ingestion coefficients differ by orders of magnitude.

Purpose

Purpose: compute

E(\tau)

from

I

e(\tau)

in Radiation protection via

E(\tau)=I\,e(\tau)

E(τ) = I e(τ). Intake times the committed effective-dose coefficient. Use it when a real radiation protection question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

I = 10.000\,\mathrm{kBq}

e(\tau) = 20.000\,\mathrm{nSv/Bq}

, the governing relation

E(\tau)=I\,e(\tau)

yields

E(\tau) = 0.2000\,\mathrm{mSv}

. A Bq intake becoming a committed millisievert. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

Intake I10 kBqDose coefficient e(τ) e(\tau)20 nSv/Bq

Outputs

Committed effective dose E(\tau)0.2000 mSv

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Narration of this film

A Bq intake becoming a committed millisievert.

τ is 50 y for adults, 70 y for children. e(τ) folds biokinetics and wT,wR. Inhalation and ingestion coefficients differ by orders of magnitude.

Reading speed

Watch on YouTube