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Curie | |
---|---|
General information | |
Unit of | Activity |
Symbol | Ci |
Named after | Pierre Curie and Marie Curie |
Conversions | |
1 Ci in ... | ... is equal to ... |
rutherfords | 37000 Rd |
SI derived unit | 37 GBq |
SI base unit | 3.7×1010 s−1 |
The curie (symbol Ci) is a non-SI unit of radioactivity originally defined in 1910. According to a notice in Nature at the time, it was to be named in honour of Pierre Curie,[1] but was considered at least by some to be in honour of Marie Curie as well,[2] and is in later literature considered to be named for both.[3]
It was originally defined as "the quantity or mass of radium emanation in equilibrium with one gram of radium (element)",[1] but is currently defined as 1 Ci = 3.7×1010 decays per second[4] after more accurate measurements of the activity of 226Ra (which has a specific activity of 3.66×1010 Bq/g[5]).
In 1975 the General Conference on Weights and Measures gave the becquerel (Bq), defined as one nuclear decay per second, official status as the SI unit of activity.[6] Therefore:
and
While its continued use is discouraged by the National Institute of Standards and Technology (NIST)[7] and other bodies, the curie is still widely used throughout government, industry and medicine in the United States and in other countries.
At the 1910 meeting, which originally defined the curie, it was proposed to make it equivalent to 10 nanograms of radium (a practical amount). But Marie Curie, after initially accepting this, changed her mind and insisted on one gram of radium. According to Bertram Boltwood, Marie Curie thought that "the use of the name 'curie' for so infinitesimally small [a] quantity of anything was altogether inappropriate".[2]
The power emitted in radioactive decay corresponding to one curie can be calculated by multiplying the decay energy by approximately 5.93 mW / MeV.
A radiotherapy machine may have roughly 1000 Ci of a radioisotope such as caesium-137 or cobalt-60. This quantity of radioactivity can produce serious health effects with only a few minutes of close-range, unshielded exposure.
Radioactive decay can lead to the emission of particulate radiation or electromagnetic radiation. Ingesting even small quantities of some particulate emitting radionuclides may be fatal. For example, the median lethal dose (LD-50) for ingested polonium-210 is 240 μCi; about 53.5 nanograms.
The typical human body contains roughly 0.1 μCi (14 mg) of naturally occurring potassium-40. A human body containing 16 kg (35 lb) of carbon (see Composition of the human body) would also have about 24 nanograms or 0.1 μCi of carbon-14. Together, these would result in a total of approximately 0.2 μCi or 7400 decays per second inside the person's body (mostly from beta decay but some from gamma decay).
Units of activity (the curie and the becquerel) also refer to a quantity of radioactive atoms. Because the probability of decay is a fixed physical quantity, for a known number of atoms of a particular radionuclide, a predictable number will decay in a given time. The number of decays that will occur in one second in one gram of atoms of a particular radionuclide is known as the specific activity of that radionuclide.
The activity of a sample decreases with time because of decay.
The rules of radioactive decay may be used to convert activity to an actual number of atoms. They state that 1 Ci of radioactive atoms would follow the expression
and so
where λ is the decay constant in s−1.
Here are some examples, ordered by half-life:
Isotope | Half-life | Mass of 1 curie | Specific activity (Ci/g) |
---|---|---|---|
209Bi | 2.01×1019 years | 11.75 billion tonnes | 8.51×10−17 |
232Th | 1.405×1010 years | 9.1 tonnes | 1.1×10−7 (110,000 pCi/g, 0.11 μCi/g) |
238U | 4.468×109 years | 2.975 tonnes | 3.36×10−7 (336,000 pCi/g, 0.336 μCi/g) |
40K | 1.248×109 years | 139.5 kg | 7.168×10−6 (7,168,000 pCi/g, 7.168 μCi/g) |
235U | 7.04×108 years | 463 kg | 2.16×10−6 (2,160,000 pCi/g, 2.16 μCi/g) |
129I | 15.7×106 years | 5.66 kg | 0.00018 |
99Tc | 211×103 years | 58 g | 0.017 |
239Pu | 24.11×103 years | 16.12 g | 0.06203 |
240Pu | 6563 years | 4.4 g | 0.23 |
14C | 5730 years | 0.22 g | 4.5 |
226Ra | 1600 years | 1.012 g | 0.989 |
241Am | 432.6 years | 0.29 g | 3.43 |
238Pu | 88 years | 59 mg | 17 |
137Cs | 30.08 years | 11.52 mg | 86.81 |
90Sr | 28.79 years | 7.240 mg | 138.1 |
241Pu | 14 years | 9.4 mg | 106 |
3H | 12.32 years | 104 μg | 9,621 |
228Ra | 5.75 years | 3.67 mg | 273 |
60Co | 1925.3 days | 883.71 μg | 1,131.6 |
210Po | 138.4 days | 222.5 μg | 4,494 |
131I | 8.0252 days | 8.0455 μg | 124,293 |
123I | 13 hours | 518 ng | 1,930,000 |
212Pb | 10.64 hours | 719 ng | 1,390,000 |
223Fr | 22.00 minutes | 26.09 ng | 38,323,000 |
212Po | 299 nanoseconds | 5.61 ag | 1.78×1017 |
The following table shows radiation quantities in SI and non-SI units:
Quantity | Unit | Symbol | Derivation | Year | SI equivalent |
---|---|---|---|---|---|
Activity (A) | becquerel | Bq | s−1 | 1974 | SI unit |
curie | Ci | 3.7×1010 s−1 | 1953 | 3.7×1010 Bq | |
rutherford | Rd | 106 s−1 | 1946 | 1000000 Bq | |
Exposure (X) | coulomb per kilogram | C/kg | C⋅kg−1 of air | 1974 | SI unit |
röntgen | R | esu / 0.001293 g of air | 1928 | 2.58×10−4 C/kg | |
Absorbed dose (D) | gray | Gy | J⋅kg−1 | 1974 | SI unit |
erg per gram | erg/g | erg⋅g−1 | 1950 | 1.0×10−4 Gy | |
rad | rad | 100 erg⋅g−1 | 1953 | 0.010 Gy | |
Equivalent dose (H) | sievert | Sv | J⋅kg−1 × WR | 1977 | SI unit |
röntgen equivalent man | rem | 100 erg⋅g−1 × WR | 1971 | 0.010 Sv | |
Effective dose (E) | sievert | Sv | J⋅kg−1 × WR × WT | 1977 | SI unit |
röntgen equivalent man | rem | 100 erg⋅g−1 × WR × WT | 1971 | 0.010 Sv |