Radiation Dose Equivalent Calculator

Enter the absorbed dose and radiation type to find the dose equivalent in sieverts.

Result

0.0400 Sv
40.0000 mSv
20

How it is calculated

The absorbed dose D is entered in grays (Gy) and the radiation type is picked from a list. The tool multiplies by a fixed weighting factor: H = D × wR, giving the dose equivalent H in sieverts (Sv). The factors built in are 1 for X-rays, gamma rays and beta particles, 2 for protons, 10 for neutrons and 20 for alpha particles. The result is also shown in millisieverts (mSv = Sv × 1000) along with the factor used. Negative doses give no result, and the figures are rounded to four decimals, so very small doses show as 0.0000 Sv and are better read in the mSv line. The neutron factor is a single flat value here, although in practice it depends on neutron energy. Dose equivalent describes radiation type only, not which organs were exposed.

Worked example

Suppose 0.002 Gy (2 mGy) of alpha radiation is absorbed. Alpha particles have a weighting factor of 20. The calculation is H = 0.002 × 20 = 0.04 Sv. The tool shows 0.0400 Sv, which is 0.04 × 1000 = 40.0000 mSv, with wR = 20. The same 0.002 Gy of gamma radiation would give only 0.0020 Sv (2 mSv), which shows why the type matters even when the absorbed dose is identical.

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Common mistakes

  • Entering a dose in sieverts or millisieverts. The input is the absorbed dose in grays; typing a value already in Sv applies the weighting twice for heavy particles.
  • Entering milligray as gray. 5 mGy is 0.005 Gy, not 5; a factor-of-1000 slip changes the answer from 5 mSv to 5 Sv for gamma rays.
  • Assuming an unknown or unselected type is rejected. Anything outside the six listed types is treated as factor 1, so always check the weighting factor shown in the result.
  • Reading a 0.0000 Sv result as zero exposure. Small doses are rounded at four decimals in the sievert line, so use the millisievert value instead.
  • Treating the result as a whole-body risk figure. It only applies the radiation-type factor; it does not weight different organs or tissues.

About this calculator

Radiation exposure is first measured as absorbed dose, in grays (Gy) — the physical energy deposited per kilogram of tissue — but different types of radiation do different biological damage per gray absorbed. The dose equivalent, in sieverts (Sv), corrects for this by multiplying the absorbed dose by a radiation weighting factor set by the ICRP (International Commission on Radiological Protection): 1 for X-rays, gamma rays and beta particles, but as high as 20 for alpha particles, which cause far more damage per unit of deposited energy.

This conversion is central to radiology, nuclear medicine, and radiation safety programs, where sieverts are used to set occupational exposure limits, report patient doses from CT scans or radiotherapy, and compare risks across radiation sources — from a chest X-ray (a fraction of a millisievert) to occupational limits for radiation workers (tens of millisieverts per year).

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