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Curie (unit)

From Wikipedia, the free encyclopedia
Non-SI unit of radioactivity
Curie
A sample of radium, the element which was used in the original definition of the curie.
General information
Unit ofActivity
SymbolCi
Named afterPierre Curie andMarie Curie
Conversions
1 Ciin ...... is equal to ...
   rutherfords   37000 Rd
   SI derived unit   37 GBq
   SI base unit   3.7×1010 s−1
Sample ofcobalt-60 that emits 1 μCi (microcurie) of radioactivity; i.e. 37,000 decays per second.

Thecurie (symbolCi) is a non-SI unit ofradioactivity originally defined in 1910. According to a notice inNature at the time, it was to be named in honour ofPierre Curie,[1] but was considered at least by some to be in honour ofMarie Skłodowska-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 ofradium emanation in equilibrium with one gram ofradium (element)",[1] but is currently defined as 1 Ci =3.7×1010decays persecond[4] after more accurate measurements of the activity of226Ra (which has a specific activity of3.66×1010 Bq/g[5]).

In 1975 theGeneral Conference on Weights and Measures gave thebecquerel (Bq), defined as one nuclear decay per second, official status as theSI unit of activity.[6] Therefore:

1 Ci =3.7×1010 Bq = 37 GBq

and

1 Bq ≅2.703×10−11 Ci ≅ 27 pCi

While its continued use is discouraged by theNational 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 thedecay energy by approximately 5.93 mW / MeV.

Aradiotherapy machine may have roughly 1000 Ci of a radioisotope such ascaesium-137 orcobalt-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, themedian lethal dose (LD-50) for ingestedpolonium-210 is 240 μCi; about 53.5 nanograms.

The typical human body contains roughly 0.1 μCi (14 mg) of naturally occurringpotassium-40. A human body containing 16 kg (35 lb) of carbon (seeComposition of the human body) would also have about 24 nanograms or 0.1 μCi ofcarbon-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).

As a measure of quantity

[edit]
Relation between some ionizing radiation units[8]

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 particularradionuclide, 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 thespecific activity of that radionuclide.

The activity of a sample decreases with time because of decay.

The rules ofradioactive 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

N (atoms) ×λ (s−1) = 1 Ci = 3.7 × 1010 Bq,

and so

N = 3.7 × 1010 Bq /λ,

whereλ is thedecay constant in s−1.

Here are some examples, ordered by half-life:

NuclideIsotopic mass (Da)[9]Number of atoms in 1 gramHalf-life[10][a]Specific activity (Ci/g)Mass of 1 curie
209Bi208.98039862.8816773×10212.01×1019 years8.51×10−1711.7 billion tonnes
190Pt189.95994983.1702160×10214.83×1011 years3.90×10−9257 tonnes
147Sm146.91490444.0990673×10211.066×1011 years2.28×10−843.8 tonnes
232Th232.03805362.5953246×10211.405×1010 years1.10×10−7 (0.110 μCi/g)9.12 tonnes
238U238.05078762.5297714×10214.468×109 years3.36×10−7 (0.336 μCi/g)2.98 tonnes
40K39.963998171.50689146×10221.248×109 years7.18×10−6 (7.17 μCi/g)140 kg
235U235.04392812.5621342×10217.038×108 years2.16×10−6 (2.16 μCi/g)463 kg
129I128.90498364.6717672×10211.614×107 years1.72×10−4 (172 μCi/g)5.82 kg
99Tc98.906249686.0887363×10212.111×105 years1.71×10−458.4 g
239Pu239.05216162.5191744×10212.411×104 years6.20×10−216.1 g
240Pu240.05381172.5086628×10216561 years0.2274.41 g
14C14.003241994.30053323×10225700 years4.48223 mg
226Ra226.02540822.6643645×10211600 years0.9891.01 g
241Am241.05682732.4982245×1021432.6 years3.43292 mg
238Pu238.04955822.5297845×102187.7 years17.158.4 mg
137Cs136.90708934.3987063×102130.04 years86.911.5 mg
90Sr89.90772796.6981347×102128.91 years1387.27 mg
241Pu241.05684972.4982243×102114.329 years1049.66 mg
3H3.0160492813201.996698393×102312.32 years9.62×103104 μg
228Ra228.03106862.6409299×10215.75 years2733.67 mg
60Co59.933815541.00479849×10225.2714 years1.13×103884 μg
210Po209.98287372.8679200×1021138.376 days4.49×103223 μg
131I130.90612644.6003506×10218.0249 days1.24×1058.05 μg
123I122.90558984.8998103×102113.2232 hours1.93×106519 ng
212Pb211.99189592.8407410×102110.627 hours1.39×106719 ng
223Fr223.01973422.7002726×102122.00 minutes3.83×10726.1 ng
212Po211.98886802.8407816×1021294.4 nanoseconds1.81×10175.53 ag

Radiation related quantities

[edit]

The following table shows radiation quantities in SI and non-SI units:

Ionizing radiation related quantities
QuantityUnitSymbolDerivationYearSI equivalent
Activity (A)becquerelBqs−11974SI unit
curieCi3.7×1010 s−119533.7×1010 Bq
rutherfordRd106 s−119461000000 Bq
Exposure (X)coulomb perkilogramC/kgC⋅kg−1 of air1974SI unit
röntgenResu /0.001293 g of air19282.58×10−4 C/kg
Absorbed dose (D)grayGyJ⋅kg−11974SI unit
erg per gramerg/gerg⋅g−119501.0×10−4 Gy
radrad100 erg⋅g−119530.010 Gy
Equivalent dose (H)sievertSvJ⋅kg−1 ×WR1977SI unit
röntgen equivalent manrem100 erg⋅g−1 ×WR19710.010 Sv
Effective dose (E)sievertSvJ⋅kg−1 ×WR ×WT1977SI unit
röntgen equivalent manrem100 erg⋅g−1 ×WR ×WT19710.010 Sv

See also

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References

[edit]
  1. ^abRutherford, Ernest (6 October 1910)."Radium Standards and Nomenclature".Nature.84 (2136):430–431.Bibcode:1910Natur..84..430R.doi:10.1038/084430a0.
  2. ^abFrame, Paul (1996)."How the Curie Came to Be".Health Physics Society Newsletter. Archived fromthe original on 20 March 2012. Retrieved3 July 2015.
  3. ^United States Atomic Energy Commission (1951).Semiannual Report of the Atomic Energy Commission, Volume 9. p. 93.
  4. ^"Resolution 7 of the 12th CGPM".International Bureau of Weights and Measures (BIPM). 1964. Archived fromthe original on 2021-02-19.
  5. ^Delacroix, D. (2002)."Radionuclide and Radiation Protection Data Handbook 2002".Radiation Protection Dosimetry.98 (1). Nuclear Technology Publishing: 147.doi:10.1093/oxfordjournals.rpd.a006705.PMID 11916063. Archived fromthe original on 2016-03-05.
  6. ^"SI units for ionizing radiation: becquerel".Resolutions of the 15th CGPM (Resolution 8). 1975. Retrieved3 July 2015.
  7. ^NIST Special Publication 811, paragraph 5.2 (Report). NIST. 28 January 2016. Retrieved22 March 2016.
  8. ^"Measuring Radiation".NRC Web.Archived from the original on 2025-05-16. Retrieved2025-10-06.
  9. ^Wang, Meng; Huang, W.J.; Kondev, F.G.; Audi, G.; Naimi, S. (2021). "The AME 2020 atomic mass evaluation (II). Tables, graphs and references".Chinese Physics C.45 (3) 030003.doi:10.1088/1674-1137/abddaf.
  10. ^Kondev, F. G.; Wang, M.; Huang, W. J.; Naimi, S.; Audi, G. (2021)."The NUBASE2020 evaluation of nuclear properties"(PDF).Chinese Physics C.45 (3) 030001.doi:10.1088/1674-1137/abddae.
  1. ^Note that NUBASE2020 uses thetropical year to convert between years and other units of time, not theGregorian year. The relationship between years and other time units in NUBASE2020 is as follows:1 y = 365.2422 d = 31 556 926 s
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