Becquerel
| Becquerel | |
|---|---|
| Unit system | SI derived unit |
| Unit of | Specific activity |
| Symbol | Bq |
| Named after | Henri Becquerel |
| Conversions | |
| 1 Bq in ... | ... is equal to ... |
rutherford | 7000100000000000000♠10−6 Rd |
curie | 7000100010999999999♠2.703×10−11 Ci ≅ 6999999000000000000♠27 pCi |
SI base unit | s−1 |
[1]
The becquerel (English: /bɛkəˈrɛl/; symbol: Bq) is the SI derived unit of radioactivity. One becquerel is defined as the activity of a quantity of radioactive material in which one nucleus decays per second. The becquerel is therefore equivalent to an inverse second, s−1. The becquerel is named after Henri Becquerel, who shared a Nobel Prize in Physics with Pierre and Marie Curie in 1903 for their work in discovering radioactivity.[2]
Contents
1 Capitalization
2 Definition
3 Prefixes
4 Relationship to the curie
5 Calculation of radioactivity
6 Radiation-related quantities
7 See also
8 References
9 External links
Capitalization
As with every International System of Units (SI) unit named for a person, the first letter of its symbol is uppercase (Bq). However, when an SI unit is spelled out in English, it should always begin with a lowercase letter (becquerel)—except in a situation where any word in that position would be capitalized, such as at the beginning of a sentence or in material using title case.[3]
Definition
1 Bq = 1 s−1
A special name was introduced for the reciprocal second (s−1) to represent radioactivity to avoid potentially dangerous mistakes with prefixes. For example, 1 µs−1 could be taken to mean 106 disintegrations per second: 1·(10−6 s)−1 = 106 s−1.[4] Other names considered were hertz (Hz), a special name already in use for the reciprocal second, and fourier (Fr).[4] The hertz is now only used for periodic phenomena.[5] Whereas 1 Hz is 1 cycle per second, 1 Bq is 1 aperiodic radioactivity event per second.
The gray (Gy) and the becquerel (Bq) were introduced in 1975.[6] Between 1953 and 1975, absorbed dose was often measured in rads. Decay activity was measured in curies before 1946 and often in rutherfords between 1946[7] and 1975.
Prefixes
Like any SI unit, Bq can be prefixed; commonly used multiples are kBq (kilobecquerel, 103 Bq), MBq (megabecquerel, 106 Bq, equivalent to 1 rutherford), GBq (gigabecquerel, 109 Bq), TBq (terabecquerel, 1012 Bq), and PBq (petabecquerel, 1015 Bq). For practical applications, 1 Bq is a small unit; therefore, the prefixes are common. For example, the roughly 0.0169 g of potassium-40 present in a typical human body produces approximately 4,400 disintegrations per second or 4.4 kBq of activity.[8] The global inventory of carbon-14 is estimated to be 7018850000000000000♠8.5×1018 Bq (8.5 EBq, 8.5 exabecquerel).[9] The nuclear explosion in Hiroshima (An explosion of 16 kt or 67 TJ) is estimated to have produced 7024800000000000000♠8×1024 Bq (8 YBq, 8 yottabecquerel).[10]
Relationship to the curie
The becquerel succeeded the curie (Ci),[11] an older, non-SI unit of radioactivity based on the activity of 1 gram of radium-226. The curie is defined as 3.7·1010 s−1, or 37 GBq.[4]
Conversion factors:
- 1 Ci = 7010370000000000000♠3.7×1010 Bq = 37 GBq
- 1 μCi = 37,000 Bq = 37 kBq
- 1 Bq = 6999999000000000000♠2.7×10−11 Ci = 6999999000000000000♠2.7×10−5 μCi
- 1 MBq = 0.027 mCi
Calculation of radioactivity
For a given mass m{displaystyle m} (in grams) of an isotope with atomic mass ma{displaystyle m_{a}}
(in g/mol) and a half-life of t1/2{displaystyle t_{1/2}}
(in s), the radioactivity can be calculated using:
ABq=mmaNAln(2)t1/2{displaystyle A_{Bq}={frac {m}{m_{a}}}N_{A}{frac {ln(2)}{t_{1/2}}}}
With NA{displaystyle N_{A}} = 7023602214179000000♠6.02214179(30)×1023 mol−1, the Avogadro constant.
Since m/ma is the number of moles (n), the amount of radioactivity A{displaystyle A} can be calculated by:
ABq=nNAln(2)t1/2{displaystyle A_{Bq}=nN_{A}{frac {ln(2)}{t_{1/2}}}}
For instance, on average each gram of potassium contains 0.000117 gram of 40K (all other naturally occurring isotopes are stable) that has a t1/2{displaystyle t_{1/2}} of 7016402990552000000♠1.277×109 years = 7016403000000000000♠4.030×1016 s,[12] and has an atomic mass of 39.964 g/mol,[13] so the amount of radioactivity associated with a gram of potassium is 30 Bq.
Graphic showing relationships between radioactivity and detected ionizing radiation
The following table shows radiation quantities in SI and non-SI units.
| Quantity | Unit | Symbol | Derivation | Year | SI equivalence |
|---|---|---|---|---|---|
Activity (A) | curie | Ci | 3.7 × 1010 s−1 | 1953 | 3.7×1010 Bq |
becquerel | Bq | s−1 | 1974 | SI | |
rutherford | Rd | 106 s−1 | 1946 | 1,000,000 Bq | |
Exposure (X) | röntgen | R | esu / 0.001293 g of air | 1928 | 2.58 × 10−4 C/kg |
Fluence (Φ) | (reciprocal area) | m−2 | 1962 | SI | |
Absorbed dose (D) | erg | erg⋅g−1 | 1950 | 1.0 × 10−4 Gy | |
rad | rad | 100 erg⋅g−1 | 1953 | 0.010 Gy | |
gray | Gy | J⋅kg−1 | 1974 | SI | |
Dose equivalent (H) | röntgen equivalent man | rem | 100 erg⋅g−1 | 1971 | 0.010 Sv |
sievert | Sv | J⋅kg−1 × WR | 1977 | SI |
See also
- Background radiation
- Banana equivalent dose
- Counts per minute
- Ionizing radiation
- Orders of magnitude (radiation)
- Radiation poisoning
- Relative Biological Effectiveness
- Rem (unit)
- Rutherford (unit)
Sievert (biological dose equivalent of radiation)
References
^ "SI UNITS IN RADIATION AND RADIOACTIVITY", Computational Methods in Reactor Shielding, Elsevier, pp. 433–435, 1982, ISBN 9780080286853, retrieved 2018-12-19.mw-parser-output cite.citation{font-style:inherit}.mw-parser-output q{quotes:"""""""'""'"}.mw-parser-output code.cs1-code{color:inherit;background:inherit;border:inherit;padding:inherit}.mw-parser-output .cs1-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/9px-Lock-green.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .cs1-lock-limited a,.mw-parser-output .cs1-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/9px-Lock-gray-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .cs1-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Lock-red-alt-2.svg/9px-Lock-red-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration{color:#555}.mw-parser-output .cs1-subscription span,.mw-parser-output .cs1-registration span{border-bottom:1px dotted;cursor:help}.mw-parser-output .cs1-hidden-error{display:none;font-size:100%}.mw-parser-output .cs1-visible-error{font-size:100%}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration,.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left,.mw-parser-output .cs1-kern-wl-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right,.mw-parser-output .cs1-kern-wl-right{padding-right:0.2em}
^ "BIPM - Becquerel". BIPM. Retrieved 2012-10-24.
^
"SI Brochure: The International System of Units (SI)". SI Brochure (8 ed.). BIPM. 2014.
^ abc Allisy, A. (1995), "From the curie to the becquerel", Metrologia, 32 (6): 467–479, Bibcode:1995Metro..31..467A, doi:10.1088/0026-1394/31/6/006
^ "BIPM - Table 3". BIPM. Retrieved 2015-07-19.(d) The hertz is used only for periodic phenomena, and the becquerel is used only for stochastic processes in activity referred to a radionuclide.
^ Harder, D (1976), "[The new radiologic units of measurement gray and becquerel (author's translation from the German original)]", Röntgen-Blätter, 29 (1): 49–52, PMID 1251122.
^ Lind, SC (1946), "New units for the measurement of radioactivity", Science, 103 (2687): 761–762, Bibcode:1946Sci...103..761L, doi:10.1126/science.103.2687.761-a, PMID 17836457.
^ Radioactive human body — Harvard University Natural Science Lecture Demonstrations - Accessed October 2013
^ G.R. Choppin, J.O.Liljenzin, J. Rydberg, "Radiochemistry and Nuclear Chemistry", 3rd edition, Butterworth-Heinemann, 2002.
ISBN 978-0-7506-7463-8.
^ Michael J. Kennish, Pollution Impacts on Marine Biotic Communities , CRC Press, 1998, p. 74.
ISBN 978-0-8493-8428-8.
^ It was adopted by the BIPM in 1975, see resolution 8 of the 15th CGPM meeting
^ "Table of Isotopes decay data". Lund University. 1990-06-01. Retrieved 2014-01-12.
^ "Atomic Weights and Isotopic Compositions for All Elements". NIST. Retrieved 2014-01-12.
External links
| Look up becquerel in Wiktionary, the free dictionary. |
Derived units on the International Bureau of Weights and Measures (BIPM) web site