RPR-06

Equivalent dose H = D wR

H = D wR. Absorbed dose scaled by radiation type.

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QuantitiesICRP 103H = D wR

Governing equation

H=D\,w_R

$D \in \left[0.001, 100\right]$

where

D: Absorbed dose (mGy)
w_R: Radiation weighting wR (—)
H: Equivalent dose (mSv)

The figure, part by part

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①

Governing law — red

H=D\,w_R

$D \in \left[0.001, 100\right]$

$D = 0.001$ $H = 0.001$

Along the curve

②

Domain of the variable — blue

D_{\min} = 0.001,\quad D_{\max} = 100

$D \in \left[0.001, 100\right]$

$D = 0.001$ $D = 0.001$

Along the curve

③

Response curve — green

H=D\,w_R

$D \in \left[0.001, 100\right]$

$D = 0.001$ $H = 0.001$

Along the curve

④

Rate of change — amber

\frac{\mathrm{d}H}{\mathrm{d}D}

$D \in \left[0.001, 100\right]$

$D = 0.63$ $H^{\prime} = 1$

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-06 — Equivalent dose H = D wR) is the form associated with ICRP 103 · H = D wR. Working symbols: $D$ , $w_R$ $\rightarrow$ $H$ . wR is 1 for photons and electrons, 2 for protons, 20 for α and heavy ions. Neutrons follow wR(E).

Purpose

Purpose: compute

H

from

D

w_R

in Radiation protection via

H=D\,w_R

H = D wR. Absorbed dose scaled by radiation type. 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

D = 1.000\,\mathrm{mGy}

w_R = 1.000\,\mathrm{—}

, the governing relation

H=D\,w_R

yields

H = 1.000\,\mathrm{mSv}

. A gray bar stretched into sievert by wR. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

Absorbed dose D1 mGyRadiation weighting wR w_R1 —

Outputs

Equivalent dose H1.000 mSv

Reading speed

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Narration of this film

A gray bar stretched into sievert by wR.

wR is 1 for photons and electrons, 2 for protons, 20 for α and heavy ions. Neutrons follow wR(E).

Reading speed

Watch on YouTube