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Equivalent dose
Absorbed dose of ionizing radiation weighted with the quality factor
Absorbed dose of ionizing radiation weighted with the quality factor
| Field | Value |
|---|---|
| name | equivalent dose |
| unit | sievert |
| otherunits | röntgen equivalent man |
| symbols | H |
| baseunits | J⋅kg−1 |
Equivalent dose (symbol H) is a dose quantity representing the stochastic health effects of low levels of ionizing radiation on the human body which represents the probability of radiation-induced cancer and genetic damage. It is derived from the physical quantity absorbed dose, but also takes into account the biological effectiveness of the radiation, which is dependent on the radiation type and energy. In the international system of units (SI), its unit of measure is the sievert (Sv).
Application

To enable consideration of stochastic health risk, calculations are performed to convert the physical quantity absorbed dose into equivalent dose, the details of which depend on the radiation type. For applications in radiation protection and dosimetry assessment, the International Commission on Radiological Protection (ICRP) and the International Commission on Radiation Units and Measurements (ICRU) have published recommendations and data on how to calculate equivalent dose from absorbed dose.
Equivalent dose is designated by the ICRP as a "limiting quantity"; to specify exposure limits to ensure that "the occurrence of stochastic health effects is kept below unacceptable levels and that tissue reactions are avoided". This is a calculated value, as equivalent dose cannot be practically measured, and the purpose of the calculation is to generate a value of equivalent dose for comparison with observed health effects.
Calculation

Equivalent dose HT is calculated using the mean absorbed dose deposited in body tissue or organ T, multiplied by the radiation weighting factor WR which is dependent on the type and energy of the radiation R.
The radiation weighting factor represents the relative biological effectiveness of the radiation and modifies the absorbed dose to take account of the different biological effects of various types and energies of radiation.
The ICRP has assigned radiation weighting factors to specified radiation types dependent on their relative biological effectiveness, which are shown in accompanying table.
Calculating equivalent dose from absorbed dose;
:H_T = \sum_R W_R \cdot D_{T,R} where :HT is the equivalent dose in sieverts (Sv) absorbed by tissue T, :DT,R is the absorbed dose in grays (Gy) in tissue T by radiation type R and :WR is the radiation weighting factor defined by regulation. Thus for example, an absorbed dose of 1 Gy by alpha particles will lead to an equivalent dose of 20 Sv, and an equivalent dose of radiation is estimated to have the same biological effect as an equal amount of absorbed dose of gamma rays, which is given a weighting factor of 1.
To obtain the equivalent dose for a mix of radiation types and energies, a sum is taken over all types of radiation energy doses. This takes into account the contributions of the varying biological effect of different radiation types.
| Radiation | Energy | WR (formerly Q) |
|---|---|---|
| x-rays, gamma rays, | ||
| beta particles, muons | 1 | |
| neutrons | 2.5 + 18.2·e−[ln(E)]²/6 | |
| 1...50 MeV | 5.0 + 17.0·e−[ln(2·E)]²/6 | |
| 50 MeV | 2.5 + 3.25·e−[ln(0.04·E)]²/6 | |
| protons, charged pions | 2 | |
| alpha particles, fission | ||
| products, heavy nuclei | 20 |
History
The concept of equivalent dose was developed in the 1950s. In its 1990 recommendations, the ICRP revised the definitions of some radiation protection quantities, and provided new names for the revised quantities. Some regulators, notably the International Committee for Weights and Measures (CIPM) and the US Nuclear Regulatory Commission continue to use the old terminology of quality factors and dose equivalent, even though the underlying calculations have changed.
Future use
At the ICRP 3rd International Symposium on the System of Radiological Protection in October 2015, ICRP Task Group 79 reported on the "Use of Effective Dose as a Risk-related Radiological Protection Quantity".
This included a proposal to discontinue use of equivalent dose as a separate protection quantity. This would avoid confusion between equivalent dose, effective dose and dose equivalent, and to use absorbed dose in Gy as a more appropriate quantity for limiting deterministic effects to the eye lens, skin, hands & feet.
These proposals will need to go through the following stages:
- Discussion within ICRP Committees
- Revision of report by Task Group
- Reconsideration by Committees and Main Commission
- Public Consultation
Units
The SI unit of measure for equivalent dose is the sievert, defined as one joule per kg. In the United States the roentgen equivalent man (rem), equal to 0.01 sievert, is still in common use, although regulatory and advisory bodies are encouraging transition to sievert.
References
References
- ICRP publication 103, paragraph 112
- ICRP publication 103, paragraph B50
- "In 1991, the International Commission on Radiological Protection (ICRP) [7] recommended a revised system of dose limitation, including specification of primary ''limiting quantities'' for radiation protection purposes. These protection quantities are essentially unmeasurable" - IAEA Safety report 16
- ICRP publication 103, paragraph B64
- ICRP publication 103, glossary
- (2007). "The 2007 Recommendations of the International Commission on Radiological Protection". Annals of the ICRP.
- Clarke, R.H.. (2009). "The History of ICRP and the Evolution of its Policies". Annals of the ICRP.
- (1991). "1990 Recommendations of the International Commission on Radiological Protection". Annals of the ICRP.
- (2009). "10 CFR 20.1004". US Nuclear Regulatory Commission.
- "Use of Effective Dose", John Harrison. 3rd International Symposium on the System of Radiological Protection, October 2015, Seoul.[http://www.icrp.org/docs/icrp2015/21%20John%20Harrison%202015.pdf]
- {{SIbrochure
- Nuclear Regulatory Commission. "NRC Regulations: §34.3 Definitions". United States Government.
- ICRP publication 103 - Glossary.
- ICRP Publication 103 paragraph 140
- ICRP publication 60 published in 1991
- [http://www.wmsym.org/archives/2009/pdfs/9444.pdf - "The confusing world of radiation dosimetry"] {{Webarchive. link. (2016-12-21 - M.A. Boyd, U.S. Environmental Protection Agency 2009. An account of chronological differences between US and ICRP dosimetry systems.)
- (2009). "10 CFR 20.1003". US Nuclear Regulatory Commission.
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