Difference between revisions of "Beta decay" - New World Encyclopedia
(added credit and category tags, deleted foreign language links) |
|||
(23 intermediate revisions by 5 users not shown) | |||
Line 1: | Line 1: | ||
− | {{Nuclear physics}} | + | {{Images OK}}{{Submitted}}{{Approved}}{{Paid}}{{Copyedited}} |
− | [[Image:Beta-minus Decay.svg|thumb| | + | {{Nuclear physics}} |
− | [[Image:Beta Negative Decay.svg|thumb|right| | + | |
− | + | In [[nuclear physics]], '''beta decay''' is a type of [[radioactive]] decay involving the emission of '''beta particles'''. Beta particles are high-energy, high-speed [[electron]]s or [[positron]]s emitted by certain types of [[radioactive]] [[Atomic nucleus|atomic nuclei]] such as [[potassium]]-40. These particles, designated by the [[Greek alphabet|Greek letter]] beta (β), are a form of [[ionizing radiation]] and are also known as '''beta rays'''. | |
+ | |||
+ | There are two forms of beta decay: "beta minus" (β<sup>−</sup>), involving the release of [[electron]]s; and "beta plus" (β<sup>+</sup>), involving the emission of [[positron]]s (which are antiparticles of electrons). In beta minus decay, a neutron is converted into a [[proton]], an [[electron]], and an [[electron antineutrino]]. In beta plus decay, a proton is converted into a neutron, a positron, and an electron [[neutrino]] (a type of neutrino associated with the electron). In either case, the number of nucleons (neutrons plus protons) in the nucleus remains the same, while the number of protons in the nucleus changes. | ||
+ | {{toc}} | ||
+ | [[Image:Beta-minus Decay.svg|thumb|right|Beta-minus (''β''<sup>-</sup>) decay. The intermediate emission of a [[W boson|W<sup>-</sup> boson]] is omitted.]] | ||
+ | [[Image:Alfa_beta_gamma_radiation.svg|200px|thumb|Alpha radiation consists of [[helium]] nuclei and is readily stopped by a sheet of paper. Beta radiation, consisting of [[electron]]s, is halted by an aluminum plate. Gamma radiation is eventually absorbed as it penetrates a dense material.]] | ||
+ | [[Image:Beta Negative Decay.svg|thumb|right|220px|The [[Feynman diagram]] for beta decay of a [[neutron]] into a [[proton]], [[electron]], and [[neutrino|electron antineutrino]] via an intermediate heavy [[W boson|W<sup>-</sup> boson]].]] | ||
+ | |||
+ | If the atomic nuclei of a chemical element undergo beta decay, this process leads to the [[Nuclear transmutation|transmutation]] of that element into another. It is one way by which unstable atomic nuclei acquire greater stability. Beta minus decay is a common process in the neutron-rich fission by-products produced in nuclear reactors, accounting for the large numbers of electron antineutrinos produced by these reactors. Free neutrons also decay by this process. | ||
+ | |||
+ | ==History== | ||
+ | |||
+ | Historically, the study of beta decay provided the first physical evidence of the [[neutrino]]. In 1911, [[Lise Meitner]] and [[Otto Hahn]] performed an experiment that showed that the energies of [[electron]]s emitted by beta decay had a continuous rather than discrete spectrum. This was in apparent contradiction to the [[law of conservation of energy]], as it appeared that energy was lost in the beta decay process. A second problem was that the spin of the [[Nitrogen]]-14 atom was 1, in contradiction to the [[Ernest Rutherford, 1st Baron Rutherford of Nelson|Rutherford]] prediction of ½. | ||
+ | |||
+ | In 1920-1927, [[Charles Drummond Ellis]] (along with [[James Chadwick]] and colleagues) established clearly that the beta decay spectrum really is continuous, ending all controversies. | ||
+ | |||
+ | In a famous letter written in 1930, [[Wolfgang Pauli]] suggested that in addition to electrons and [[proton]]s atoms also contained an extremely light neutral particle which he called the [[neutron]]. He suggested that this "neutron" was also emitted during beta decay and had simply not yet been observed. In 1931, [[Enrico Fermi]] renamed Pauli's "neutron" to [[neutrino]], and in 1934 Fermi published a very successful [[Fermi's interaction|model of beta decay]] in which neutrinos were produced. | ||
+ | |||
+ | ==β<sup>−</sup> decay (electron emission)== | ||
+ | |||
+ | An unstable atomic nucleus with an excess of [[neutron]]s may undergo β<sup>−</sup> decay. In this process, a neutron is converted into a [[proton]], an [[electron]], and an [[electron antineutrino|electron-type antineutrino]] (the [[antiparticle]] of the [[neutrino]]): | ||
− | |||
: <math>n^0 \rightarrow p^+ + e^- + \bar{\nu}_e</math>. | : <math>n^0 \rightarrow p^+ + e^- + \bar{\nu}_e</math>. | ||
− | At the [[fundamental particle|fundamental]] level ( | + | At the [[fundamental particle|fundamental]] level (depicted in the [[Feynman diagram]] below), this process is mediated by the [[weak interaction]]. A neutron (one up [[quark]] and two down quarks) turns into a proton (two up quarks and one down quark) by the conversion of a down quark to an up quark, with the emission of a [[W boson|W<sup>-</sup> boson]]. The W<sup>-</sup> boson subsequently decays into an electron and an antineutrino. |
+ | |||
+ | Beta decay commonly occurs among the neutron-rich [[fission]] byproducts produced in nuclear reactors. This process is the source of the large numbers of electron antineutrinos produced by fission reactors. Free neutrons also decay via this process. | ||
+ | |||
+ | ==β<sup>+</sup> decay (positron emission) == | ||
+ | |||
+ | Unstable atomic nuclei with an excess of [[proton]]s may undergo β<sup>+</sup> decay, or inverse beta decay. In this case, energy is used to convert a proton into a neutron, a [[positron]] (''e''<sup>+</sup>), and an electron-type [[neutrino]] (<math>\nu_e</math>): | ||
− | |||
: <math>\mathrm{energy} + p^+ \rightarrow n^0 + e^+ + {\nu}_e</math>. | : <math>\mathrm{energy} + p^+ \rightarrow n^0 + e^+ + {\nu}_e</math>. | ||
− | + | On a fundamental level, an up quark is converted into a down quark, emitting a W<sup>+</sup> boson that then decays into a positron and a neutrino. | |
+ | |||
+ | Unlike beta minus decay, beta plus decay cannot occur in isolation, because it requires energy — the [[mass]] of the neutron being greater than the mass of the proton. Beta plus decay can only happen inside nuclei when the absolute value of the [[binding energy]] of the daughter nucleus is higher than that of the mother nucleus. The difference between these energies goes into the reaction of converting a proton into a neutron, a positron and, a neutrino and into the [[kinetic energy]] of these particles. | ||
− | + | == Electron capture == | |
+ | :(''See main article on [[Electron capture]].'') | ||
− | In all | + | In all cases where β<sup>+</sup> decay is allowed energetically (and the [[proton]] is part of an atomic nucleus surrounded by [[electron]] shells), it is accompanied by the "[[electron capture]]" process, also known as ''inverse beta decay''. In this process, a proton in the atomic nucleus captures an atomic electron (from an inner [[orbital]]), with the emission of a [[neutrino]]. The proton is converted into a neutron. The process may be written as follows: |
: <math>\mathrm{energy} + p^+ + e^- \rightarrow n^0 + {\nu}_e</math>. | : <math>\mathrm{energy} + p^+ + e^- \rightarrow n^0 + {\nu}_e</math>. | ||
− | |||
− | If the | + | If, however, the energy difference between initial and final states is low (less than 2<i>m</i><sub>e</sub><i>c</i><sup>2</sup>), then β<sup>+</sup> decay is not energetically possible, and [[electron capture]] is the sole decay mode. |
− | + | ||
+ | == Effects of beta decay == | ||
− | + | Beta decay does not change the number of [[nucleon]]s ''A'' in the nucleus, but changes only its [[electric charge|charge]] ''Z''. Thus, during beta decay, the parent nuclide and daughter nuclide share the same ''A'' value. | |
− | : | + | The beta decay of atomic nuclei results in the [[Nuclear transmutation|transmutation]] of one chemical element into another. For example: |
− | + | * '''Beta minus:''' <math>\mathrm{{}^1{}^{37}_{55}Cs}\rightarrow\mathrm{{}^1{}^{37}_{56}Ba}+ e^- + \bar{\nu}_e</math> | |
− | + | * '''Beta plus:''' <math>\mathrm{~^{22}_{11}Na}\rightarrow\mathrm{~^{22}_{10}Ne} + e^+ + {\nu}_e</math> | |
− | + | For comparison, the electron capture process may be written as follows: | |
− | + | * '''[[Electron]] capture:''' <math>\mathrm{~^{22}_{11}Na} + e^- \rightarrow\mathrm{~^{22}_{10}Ne} + {\nu}_e</math> | |
− | {{ | ||
− | |||
− | + | In nature, most [[isotope]]s are beta stable, but a few exceptions exist with [[half life|half-lives]] so long that they have not had enough time to decay since the moment of their [[nucleosynthesis]]. One example is [[potassium|<sup>40</sup>K]], which undergoes beta minus and beta plus decay and electron capture, with a half-life of 1.277×10<sup>9</sup> years. | |
− | + | ||
− | + | It should be noted that a beta-stable nucleus may undergo other kinds of radioactive decay, such as [[alpha decay]]. | |
− | + | == Double beta decay == | |
− | + | Some nuclei can undergo [[double beta decay]] (ββ decay), where the charge of the nucleus changes by two units. In most practically interesting cases, single beta decay is energetically forbidden for such nuclei, because when β and ββ decays are both allowed, the probability of β decay is (usually) much higher, preventing investigations of very rare ββ decays. Thus, ββ decay is usually studied only for beta stable nuclei. Like single beta decay, double beta decay does not change the value of ''A''. Thus, at least one of the nuclides with a given ''A'' value has to be stable, for both single and double beta decay. | |
==See also== | ==See also== | ||
− | *[[ | + | |
− | *[[ | + | * [[Alpha decay]] |
− | *[[ | + | * [[Electron]] |
− | *[[ | + | * [[Electron capture]] |
− | *[[ | + | * [[Gamma ray]] |
− | *[[ | + | * [[Neutrino]] |
− | *[[ | + | * [[Neutron]] |
+ | * [[Particle physics]] | ||
+ | * [[Positron]] | ||
+ | * [[Proton]] | ||
+ | * [[Radioactive decay]] | ||
+ | |||
+ | == References == | ||
+ | |||
+ | * Krane, Kenneth S., and David Halliday. 1988. ''Introductory Nuclear Physics.'' New York: Wiley. ISBN 047180553X. | ||
+ | * Martin, Brian. 2006. ''Nuclear and Particle Physics: An Introduction''. Hoboken, NJ: Wiley. ISBN 0470025328. | ||
+ | * Poenaru, D. N. 1996. ''Nuclear Decay Modes.'' Fundamental and Applied Nuclear Physics Series. Philadelphia: Institute of Physics. ISBN 0750303387. | ||
+ | * Tipler, Paul, and Ralph Llewellyn. 2002. ''Modern Physics''. 4th ed. New York, NY: W.H. Freeman. ISBN 0716743450. | ||
+ | * Turner, James E. 1995. ''Atoms, Radiation, and Radiation Protection.'' 2nd ed. New York: Wiley. ISBN 0471595810. | ||
+ | |||
+ | == External links == | ||
+ | All links retrieved September 29, 2023. | ||
+ | |||
+ | * [http://education.jlab.org/glossary/betadecay.html Beta decay.] ''Jefferson Lab''. | ||
{{Nuclear processes}} | {{Nuclear processes}} | ||
Line 58: | Line 100: | ||
[[Category:Physical sciences]] | [[Category:Physical sciences]] | ||
[[Category:Physics]] | [[Category:Physics]] | ||
− | [[Category: | + | [[Category:Particle physics]] |
− | {{credit|165368475}} | + | {{credit|Beta_decay|165368475|Beta_particle|161604935}} |
Latest revision as of 17:45, 29 September 2023
Nuclear physics | ||||||||||||||
![]() | ||||||||||||||
Radioactive decay Nuclear fission Nuclear fusion
| ||||||||||||||
In nuclear physics, beta decay is a type of radioactive decay involving the emission of beta particles. Beta particles are high-energy, high-speed electrons or positrons emitted by certain types of radioactive atomic nuclei such as potassium-40. These particles, designated by the Greek letter beta (β), are a form of ionizing radiation and are also known as beta rays.
There are two forms of beta decay: "beta minus" (β−), involving the release of electrons; and "beta plus" (β+), involving the emission of positrons (which are antiparticles of electrons). In beta minus decay, a neutron is converted into a proton, an electron, and an electron antineutrino. In beta plus decay, a proton is converted into a neutron, a positron, and an electron neutrino (a type of neutrino associated with the electron). In either case, the number of nucleons (neutrons plus protons) in the nucleus remains the same, while the number of protons in the nucleus changes.
![](/d/images/thumb/a/aa/Beta-minus_Decay.svg/300px-Beta-minus_Decay.svg.png)
If the atomic nuclei of a chemical element undergo beta decay, this process leads to the transmutation of that element into another. It is one way by which unstable atomic nuclei acquire greater stability. Beta minus decay is a common process in the neutron-rich fission by-products produced in nuclear reactors, accounting for the large numbers of electron antineutrinos produced by these reactors. Free neutrons also decay by this process.
History
Historically, the study of beta decay provided the first physical evidence of the neutrino. In 1911, Lise Meitner and Otto Hahn performed an experiment that showed that the energies of electrons emitted by beta decay had a continuous rather than discrete spectrum. This was in apparent contradiction to the law of conservation of energy, as it appeared that energy was lost in the beta decay process. A second problem was that the spin of the Nitrogen-14 atom was 1, in contradiction to the Rutherford prediction of ½.
In 1920-1927, Charles Drummond Ellis (along with James Chadwick and colleagues) established clearly that the beta decay spectrum really is continuous, ending all controversies.
In a famous letter written in 1930, Wolfgang Pauli suggested that in addition to electrons and protons atoms also contained an extremely light neutral particle which he called the neutron. He suggested that this "neutron" was also emitted during beta decay and had simply not yet been observed. In 1931, Enrico Fermi renamed Pauli's "neutron" to neutrino, and in 1934 Fermi published a very successful model of beta decay in which neutrinos were produced.
β− decay (electron emission)
An unstable atomic nucleus with an excess of neutrons may undergo β− decay. In this process, a neutron is converted into a proton, an electron, and an electron-type antineutrino (the antiparticle of the neutrino):
- .
At the fundamental level (depicted in the Feynman diagram below), this process is mediated by the weak interaction. A neutron (one up quark and two down quarks) turns into a proton (two up quarks and one down quark) by the conversion of a down quark to an up quark, with the emission of a W- boson. The W- boson subsequently decays into an electron and an antineutrino.
Beta decay commonly occurs among the neutron-rich fission byproducts produced in nuclear reactors. This process is the source of the large numbers of electron antineutrinos produced by fission reactors. Free neutrons also decay via this process.
β+ decay (positron emission)
Unstable atomic nuclei with an excess of protons may undergo β+ decay, or inverse beta decay. In this case, energy is used to convert a proton into a neutron, a positron (e+), and an electron-type neutrino ():
- .
On a fundamental level, an up quark is converted into a down quark, emitting a W+ boson that then decays into a positron and a neutrino.
Unlike beta minus decay, beta plus decay cannot occur in isolation, because it requires energy — the mass of the neutron being greater than the mass of the proton. Beta plus decay can only happen inside nuclei when the absolute value of the binding energy of the daughter nucleus is higher than that of the mother nucleus. The difference between these energies goes into the reaction of converting a proton into a neutron, a positron and, a neutrino and into the kinetic energy of these particles.
Electron capture
- (See main article on Electron capture.)
In all cases where β+ decay is allowed energetically (and the proton is part of an atomic nucleus surrounded by electron shells), it is accompanied by the "electron capture" process, also known as inverse beta decay. In this process, a proton in the atomic nucleus captures an atomic electron (from an inner orbital), with the emission of a neutrino. The proton is converted into a neutron. The process may be written as follows:
- .
If, however, the energy difference between initial and final states is low (less than 2mec2), then β+ decay is not energetically possible, and electron capture is the sole decay mode.
Effects of beta decay
Beta decay does not change the number of nucleons A in the nucleus, but changes only its charge Z. Thus, during beta decay, the parent nuclide and daughter nuclide share the same A value.
The beta decay of atomic nuclei results in the transmutation of one chemical element into another. For example:
- Beta minus:
- Beta plus:
For comparison, the electron capture process may be written as follows:
- Electron capture:
In nature, most isotopes are beta stable, but a few exceptions exist with half-lives so long that they have not had enough time to decay since the moment of their nucleosynthesis. One example is 40K, which undergoes beta minus and beta plus decay and electron capture, with a half-life of 1.277×109 years.
It should be noted that a beta-stable nucleus may undergo other kinds of radioactive decay, such as alpha decay.
Double beta decay
Some nuclei can undergo double beta decay (ββ decay), where the charge of the nucleus changes by two units. In most practically interesting cases, single beta decay is energetically forbidden for such nuclei, because when β and ββ decays are both allowed, the probability of β decay is (usually) much higher, preventing investigations of very rare ββ decays. Thus, ββ decay is usually studied only for beta stable nuclei. Like single beta decay, double beta decay does not change the value of A. Thus, at least one of the nuclides with a given A value has to be stable, for both single and double beta decay.
See also
- Alpha decay
- Electron
- Electron capture
- Gamma ray
- Neutrino
- Neutron
- Particle physics
- Positron
- Proton
- Radioactive decay
ReferencesISBN links support NWE through referral fees
- Krane, Kenneth S., and David Halliday. 1988. Introductory Nuclear Physics. New York: Wiley. ISBN 047180553X.
- Martin, Brian. 2006. Nuclear and Particle Physics: An Introduction. Hoboken, NJ: Wiley. ISBN 0470025328.
- Poenaru, D. N. 1996. Nuclear Decay Modes. Fundamental and Applied Nuclear Physics Series. Philadelphia: Institute of Physics. ISBN 0750303387.
- Tipler, Paul, and Ralph Llewellyn. 2002. Modern Physics. 4th ed. New York, NY: W.H. Freeman. ISBN 0716743450.
- Turner, James E. 1995. Atoms, Radiation, and Radiation Protection. 2nd ed. New York: Wiley. ISBN 0471595810.
External links
All links retrieved September 29, 2023.
- Beta decay. Jefferson Lab.
|
Credits
New World Encyclopedia writers and editors rewrote and completed the Wikipedia article in accordance with New World Encyclopedia standards. This article abides by terms of the Creative Commons CC-by-sa 3.0 License (CC-by-sa), which may be used and disseminated with proper attribution. Credit is due under the terms of this license that can reference both the New World Encyclopedia contributors and the selfless volunteer contributors of the Wikimedia Foundation. To cite this article click here for a list of acceptable citing formats.The history of earlier contributions by wikipedians is accessible to researchers here:
The history of this article since it was imported to New World Encyclopedia:
Note: Some restrictions may apply to use of individual images which are separately licensed.