# Difference between revisions of "S coefficient (radiation weighted)"

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The equivalent dose to target region <math>r_T</math> per nuclear transformation of a given radionuclide in source region <math>r_S</math>, Sv (Bq s)<sup>-1</sup>. | The equivalent dose to target region <math>r_T</math> per nuclear transformation of a given radionuclide in source region <math>r_S</math>, Sv (Bq s)<sup>-1</sup>. | ||

− | <math | + | <math> |

− | + | S_w(r_T \leftarrow r_S) = \sum_R w_R \sum_i E_{R,i} Y_{R,i} \phi (r_T \leftarrow r_s, E_{R,i}) | |

</math> | </math> | ||

− | where <math>E_{R,i}</math> is the energy in joules of the i<sup>th</sup> radiation of type <math>R</math> emitted in nuclear transformations of the radionuclide (J); <math>Y_{R,i}</math> is the yield of the i<sup>th</sup> radiation of type <math>R</math> per nuclear transformation [(Bq | + | where <math>E_{R,i}</math> is the energy in joules of the i<sup>th</sup> radiation of type <math>R</math> emitted in nuclear transformations of the radionuclide (J); <math>Y_{R,i}</math> is the yield of the i<sup>th</sup> radiation of type <math>R</math> per nuclear transformation [(Bq s)<sup>-1</sup>]; <math>w_R</math> is the radiation weighting factor for radiation type <math>R</math>; and <math>\phi (r_T \leftarrow r_s, E_{R,i})</math> is the speciﬁc absorbed fraction deﬁned as the fraction of energy <math>E_{R,i}</math> of radiation type <math>R</math> emitted within the source region <math>r_S</math> that is absorbed per mass in the target region <math>r_T</math> (kg<sup>-1</sup>). |

[[ICRP Publication 130]], 2015 | [[ICRP Publication 130]], 2015 |

## Latest revision as of 18:57, 19 August 2021

The equivalent dose to target region [math]r_T[/math] per nuclear transformation of a given radionuclide in source region [math]r_S[/math], Sv (Bq s)^{-1}.

[math] S_w(r_T \leftarrow r_S) = \sum_R w_R \sum_i E_{R,i} Y_{R,i} \phi (r_T \leftarrow r_s, E_{R,i}) [/math]

where [math]E_{R,i}[/math] is the energy in joules of the i^{th} radiation of type [math]R[/math] emitted in nuclear transformations of the radionuclide (J); [math]Y_{R,i}[/math] is the yield of the i^{th} radiation of type [math]R[/math] per nuclear transformation [(Bq s)^{-1}]; [math]w_R[/math] is the radiation weighting factor for radiation type [math]R[/math]; and [math]\phi (r_T \leftarrow r_s, E_{R,i})[/math] is the speciﬁc absorbed fraction deﬁned as the fraction of energy [math]E_{R,i}[/math] of radiation type [math]R[/math] emitted within the source region [math]r_S[/math] that is absorbed per mass in the target region [math]r_T[/math] (kg^{-1}).

ICRP Publication 130, 2015

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