Same units, different quantities
Radiation units cause more confusion than almost any other family, and the reason is structural: there are three different quantities in play, two of them share a dimension, and the names give no hint which is which.
What each quantity actually measures| Quantity | SI unit | Old unit | Measures |
|---|
| Absorbed dose | gray (Gy) | rad | Energy deposited per kilogram |
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| Equivalent dose | sievert (Sv) | rem | That energy, weighted for biological harm |
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| Activity | becquerel (Bq) | curie (Ci) | Decays per second in a source |
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The gray and the sievert are both joules per kilogram. They have identical dimensions, so nothing about the arithmetic would stop a converter from treating them as the same unit — and a good many do. The SI keeps them separate deliberately, precisely so that a figure carries which question it answers.
The becquerel is not even in the same family. It counts events in a source; the others describe what happens in a body. Those are related by an exposure situation, not by a factor.
So this converter groups the units by quantity and refuses every crossing. It is occasionally frustrating and it is the only honest arrangement.
Why one gray can be twenty sieverts
The same energy deposited in tissue does different amounts of harm depending on how it was delivered. Spread thinly along a long track it does less; concentrated into a short one it does far more, because the damage lands in a small volume and overwhelms repair.
One gray, as each kind of radiation| Radiation | wR | 1 Gy is |
|---|
| X-rays, gamma, electrons | 1 | 1 Sv |
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| Protons | 2 | 2 Sv |
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| Neutrons, thermal | 2.5 | 2.5 Sv |
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| Neutrons, around 1 MeV | 20 | 20 Sv |
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| Alpha particles | 20 | 20 Sv |
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A factor of twenty from the same joules. This is why an alpha emitter is comparatively harmless in a sealed source — alpha particles are stopped by a sheet of paper or the dead outer layer of skin — and serious once inhaled or swallowed, where that same weighting applies to living tissue with nothing in between.
It also explains why the two units look interchangeable in a hospital. Medical imaging is X-rays and gamma, where the factor is 1, so a milligray and a millisievert come out numerically equal. That coincidence trains an intuition which then fails everywhere else.
One honest caveat: neutron weighting is a continuous function of energy rather than the two values in the table, running from about 2.5 at thermal energies up to 20 near 1 MeV and back down at high energy. The two rows above are points on a curve, not categories.
Becquerels are not sieverts
“How many sieverts is a megabecquerel?” has no answer, and unlike most such questions on this site it does not have one even in principle from a single extra number.
A becquerel is one decay per second in a source. A sievert is energy absorbed by a body, weighted. Getting from the first to the second needs the isotope — what it emits and at what energy — the geometry, the distance, any shielding, the exposure time, and whether the material stayed outside the body or was inhaled or swallowed. That is a dose assessment, and it is a professional exercise rather than an arithmetic one.
The same activity can therefore correspond to almost any dose. A megabecquerel of a pure alpha emitter in a sealed container delivers essentially nothing through the container wall, and the same megabecquerel inhaled delivers a great deal. A megabecquerel of a short-lived gamma emitter behaves differently again.
So the calculator returns nothing rather than a figure. A converter that produced a number here would be inventing every one of the inputs above, and the number would look exactly as authoritative as the ones that are real.
rad and rem, and which goes with which
The older units survive in US practice and in a lot of older literature, and the arithmetic is the easiest part of this page: a rad is exactly a hundredth of a gray, and a rem is exactly a hundredth of a sievert.
The trap is the pairing rather than the factor. rad goes with gray — both absorbed dose. rem goes with sievert — both equivalent dose. Converting a rad figure to sieverts by multiplying by 0.01 silently asserts a weighting factor of 1, which is right for X-rays and wrong by up to twenty for anything else.
The old and new units, correctly paired| Old | New | Factor | Quantity |
|---|
| rad | gray | 0.01 exactly | Absorbed dose |
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| rem | sievert | 0.01 exactly | Equivalent dose |
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| curie | becquerel | 3.7 × 10¹⁰ exactly | Activity |
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The curie is the odd one, and its number is not arbitrary: it was originally the activity of one gram of radium-226, later fixed at exactly 3.7 × 10¹⁰ decays a second so that the unit stopped depending on a measurement. It is also inconveniently large — a curie is a serious quantity of material, which is why millicuries and microcuries are what actually appear on labels.
Effective dose is not organ dose
One more layer sits above the sievert, and it is the one the familiar numbers belong to. Equivalent dose says how much harm the radiation does to the tissue it hits. Effective dose spreads that across the whole body using tissue weighting factors, so that exposures to different parts can be compared on one scale.
Typical effective doses| Exposure | Effective dose | Chest X-rays |
|---|
| Eating a banana | 0.0001 mSv | 0.005 |
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| Dental X-ray | 0.005 mSv | 0.25 |
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| Chest X-ray | 0.02 mSv | 1 |
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| Transatlantic flight | 0.08 mSv | 4 |
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| Head CT | 2.0 mSv | 100 |
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| Natural background, one year | 2.4 mSv | 120 |
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| Abdominal CT | 8.0 mSv | 400 |
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| Annual limit, radiation worker | 20 mSv | 1000 |
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Because it is a whole-body figure, an effective dose understates what the tissue actually in the beam received — sometimes by a large factor. A mammogram delivers a few millisieverts of effective dose and a much larger local dose to breast tissue; that the two numbers differ is the design of the quantity, not an error in it.
The figures are also representative rather than definitive. The same nominal scan can differ several-fold between hospitals depending on the equipment and the protocol, and a real dose for a real patient comes from the department that did it. This page converts units; it does not assess anyone’s exposure, and no conversion can.
Sources and methodology
The weighting factors here are the ICRP 103 values, and the distinction they encode — between energy deposited and harm done — is why the SI keeps the gray and the sievert as separate units despite their sharing a dimension. The dose figures used for scale are representative published values rather than measurements of any particular procedure.