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Alpha process

From Wikipedia, the free encyclopedia
Nuclear fusion reaction
Creation of elements beyond carbon through alpha process

Thealpha process, also known asalpha capture or thealpha ladder, is one of two classes ofnuclear fusion reactions by which stars converthelium into heavierelements. The other class is a cycle of reactions called thetriple-alpha process, which consumes only helium, and producescarbon.[1] The alpha process most commonly occurs in massive stars and duringsupernovae.

Both processes are preceded byhydrogen fusion, which produces thehelium that fuels both the triple-alpha process and the alpha ladder processes. After thetriple-alpha process has produced enough carbon, the alpha-ladder begins and fusion reactions of increasingly heavy elements take place, in the order listed below. Each step only consumes the product of the previous reaction and helium. The later-stage reactions which are able to begin in any particular star, do so while the prior stage reactions are still under way in outer layers of the star.

 C612   +He24  O816   +γ ,E=7.16 MeV O816   +He24 Ne1020  +γ ,E=4.73 MeVNe1020  +He24 Mg1224 +γ ,E=9.32 MeVMg1224 +He24 Si1428   +γ ,E=9.98 MeVSi1428   +He24 S1632     +γ ,E=6.95 MeVS1632    +He24 Ar1836   +γ ,E=6.64 MeVAr1836  +He24 Ca2040  +γ ,E=7.04 MeVCa2040 +He24 Ti2244   +γ ,E=5.13 MeVTi2244  +He24 Cr2448  +γ ,E=7.70 MeVCr2448 +He24 Fe2652   +γ ,E=7.94 MeVFe2652 +He24 Ni2856   +γ ,E=8.00 MeV{\displaystyle {\begin{array}{ll}{\ce {~{}_{6}^{12}C\ ~~+{}_{2}^{4}He\ ->~{}_{8}^{16}O\ \ ~+\gamma ~,}}&E={\mathsf {7.16\ MeV}}\\{\ce {~{}_{8}^{16}O\ ~~+{}_{2}^{4}He\ ->{}_{10}^{20}Ne\ \ +\gamma ~,}}&E={\mathsf {4.73\ MeV}}\\{\ce {{}_{10}^{20}Ne\ ~+{}_{2}^{4}He\ ->{}_{12}^{24}Mg\ +\gamma ~,}}&E={\mathsf {9.32\ MeV}}\\{\ce {{}_{12}^{24}Mg\ +{}_{2}^{4}He\ ->{}_{14}^{28}Si\ ~~+\gamma ~,}}&E={\mathsf {9.98\ MeV}}\\{\ce {{}_{14}^{28}Si\ ~~+{}_{2}^{4}He\ ->{}_{16}^{32}S\ \ ~~~+\gamma ~,}}&E={\mathsf {6.95\ MeV}}\\{\ce {{}_{16}^{32}S\ ~~~+{}_{2}^{4}He\ ->{}_{18}^{36}Ar\ ~\ +\gamma ~,}}&E={\mathsf {6.64\ MeV}}\\{\ce {{}_{18}^{36}Ar\ ~+{}_{2}^{4}He\ ->{}_{20}^{40}Ca\ \ +\gamma ~,}}&E={\mathsf {7.04\ MeV}}\\{\ce {{}_{20}^{40}Ca\ +{}_{2}^{4}He\ ->{}_{22}^{44}Ti\ ~~+\gamma ~,}}&E={\mathsf {5.13\ MeV}}\\{\ce {{}_{22}^{44}Ti\ ~+{}_{2}^{4}He\ ->{}_{24}^{48}Cr\ ~+\gamma ~,}}&E={\mathsf {7.70\ MeV}}\\{\ce {{}_{24}^{48}Cr\ +{}_{2}^{4}He\ ->{}_{26}^{52}Fe\ ~\ +\gamma ~,}}&E={\mathsf {7.94\ MeV}}\\{\ce {{}_{26}^{52}Fe\ +{}_{2}^{4}He\ ->{}_{28}^{56}Ni\ ~\ +\gamma ~,}}&E={\mathsf {8.00\ MeV}}\end{array}}}

The energy produced by each reaction,E, is mainly in the form ofgamma rays (γ), with a small amount taken by thebyproduct element, as addedmomentum.

Binding energy per nucleon for a selection of nuclides. Not listed is62Ni, with the highest binding energy at 8.7945 MeV.

It is a common misconception that the above sequence ends at2856Ni{\displaystyle \,{}_{28}^{56}\mathrm {Ni} \,} (or2656Fe{\displaystyle \,{}_{26}^{56}\mathrm {Fe} \,}, which is a decay product of2856Ni{\displaystyle \,{}_{28}^{56}\mathrm {Ni} \,}[2]) because it is the most tightly boundnuclide – i.e., the nuclide with the highestnuclear binding energy pernucleon – and production of heavier nuclei would consume energy (beendothermic) instead of release it (exothermic).2862Ni{\displaystyle \,{}_{28}^{62}\mathrm {Ni} \,} (Nickel-62) is actually the most tightly bound nuclide in terms of binding energy[3] (though56Fe{\displaystyle {}^{56}{\textrm {Fe}}} has a lower energy or mass per nucleon). The reaction56Fe+4He60Ni{\displaystyle {}^{56}{\textrm {Fe}}+{}^{4}{\textrm {He}}\rightarrow {}^{60}{\textrm {Ni}}} is actually exothermic, and indeed adding alphas continues to be exothermic all the way to 50100Sn {\displaystyle \ {}_{50}^{100}\mathrm {Sn} \ },[4] but nonetheless the sequence does effectively end at iron. The sequence stops before producing elements heavier than nickel because conditions in stellar interiors cause the competition betweenphotodisintegration and the alpha process to favor photodisintegration aroundiron.[2][5] This leads to more2856Ni{\displaystyle \,{}_{28}^{56}\mathrm {Ni} \,} being produced than2862Ni .{\displaystyle \,{}_{28}^{62}\mathrm {Ni} ~.}

All these reactions have a very low rate at the temperatures and densities in stars and therefore do not contribute significant energy to a star's total output. They occur even less easily with elements heavier thanneon (Z > 10) due to the increasingCoulomb barrier.

Alpha process elements

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Alpha process elements (oralpha elements) are so-called since their most abundant isotopes are integer multiples of four – the mass of the helium nucleus (thealpha particle). These isotopes are calledalpha nuclides.

Logarithm of the relative energy output (ε) ofproton–proton (p-p),CNO, andtriple-α fusion processes at different temperatures (T). The dashed line shows the combined energy generation of thep-p and CNO processes within a star.

The status of oxygen (O) is contested – some authors[6] consider it an alpha element, while others do not.O is surely an alpha element in low-metallicityPopulation II stars: It is produced inType II supernovae, and its enhancement is well correlated with an enhancement of other alpha process elements.

SometimesC andN are considered alpha process elements since, likeO, they are synthesized in nuclear alpha-capture reactions, but their status is ambiguous: Each of the three elements is produced (and consumed) by theCNO cycle, which can proceed at temperatures far lower than those where the alpha-ladder processes start producing significant amounts of alpha elements (includingC,N, &O). So just the presence ofC,N, orO in a star does not a clearly indicate that the alpha process is actually underway – hence reluctance of some astronomers to (unconditionally) call these three "alpha elements".

Production in stars

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The alpha process generally occurs in large quantities only if the star is sufficiently massive – more massive than about 10solar masses.[7] These stars contract as they age, increasing core temperature and density to high enough levels to enable the alpha process. Requirements increase with atomic mass, especially in later stages – sometimes referred to assilicon burning – and thus most commonly occur insupernovae.[8] Type II supernovae mainly synthesize oxygen and the alpha-elements (Ne,Mg,Si,S,Ar,Ca, andTi) whileType Ia supernovae mainly produce elements of theiron peak (Ti,V,Cr,Mn,Fe,Co, andNi).[7] Sufficiently massive stars can synthesize elements up to and including the iron peak solely from the hydrogen and helium that initially comprises the star.[6]

Typically, the first stage of the alpha process (or alpha-capture) follows from thehelium-burning stage of the star once helium becomes depleted; at this point, free612C{\displaystyle {}_{6}^{12}{\textrm {C}}} capture helium to produce816O{\displaystyle {}_{8}^{16}{\textrm {O}}}.[9] This process continues after the core finishes the helium burning phase as a shell around the core will continue burning helium andconvecting into the core.[7] The second stage (neon burning) starts as helium is freed by the photodisintegration of one1020Ne{\displaystyle {}_{10}^{20}{\textrm {Ne}}} atom, allowing another to continue up the alpha ladder. Silicon burning is then later initiated through the photodisintegration of1428Si{\displaystyle {}_{14}^{28}{\textrm {Si}}} in a similar fashion; after this point, the2856Ni{\displaystyle \,{}_{28}^{56}\mathrm {Ni} \,}peak discussed previously is reached. Thesupernova shock wave produced by stellar collapse provides ideal conditions for these processes to briefly occur.

During this terminal heating involving photodisintegration and rearrangement, nuclear particles are converted to their most stable forms during the supernova and subsequent ejection through, in part, alpha processes. Starting at2244Ti{\displaystyle {}_{22}^{44}{\textrm {Ti}}} and above, all the product elements are radioactive and will therefore decay into a more stable isotope; for instance,2856Ni{\displaystyle \,{}_{28}^{56}\mathrm {Ni} \,} is formed and decays into2656Fe{\displaystyle {}_{26}^{56}{\textrm {Fe}}}.[9]

Special notation for relative abundance

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The abundance of total alpha elements in stars is usually expressed in terms oflogarithms, with astronomers customarily using a square bracket notation:

[αFe]  log10(NEαNFe)Starlog10(NEαNFe)Sun ,{\displaystyle \left[{\frac {\alpha }{\,{\ce {Fe}}\,}}\right]~\equiv ~\log _{10}{\left(\,{\frac {N_{\mathrm {E} \alpha }}{\,N_{{\ce {Fe}}}\,}}\,\right)_{\mathsf {Star}}}-\log _{10}{\left({\frac {N_{\mathrm {E} \alpha }}{\,N_{{\ce {Fe}}}\,}}\,\right)_{\mathsf {Sun}}}~,}

whereNEα{\displaystyle \,N_{\mathrm {E} \alpha }\,} is the number of alpha elements per unit volume, andNFe{\displaystyle \,N_{{\ce {Fe}}}\,} is the number of iron nuclei per unit volume. It is for the purpose of calculating the numberNEα{\displaystyle \,N_{\mathrm {E} \alpha }\,} that which elements are to be considered "alpha elements" becomes contentious. Theoreticalgalactic evolution models predict that early in the universe there were more alpha elements relative to iron.

References

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  1. ^Narlikar, Jayant V. (1995).From Black Clouds to Black Holes.World Scientific. p. 94.ISBN 978-9810220334.
  2. ^abFewell, M.P. (1995-07-01). "The atomic nuclide with the highest mean binding energy".American Journal of Physics.63 (7):653–658.Bibcode:1995AmJPh..63..653F.doi:10.1119/1.17828.ISSN 0002-9505.
  3. ^Nave, Carl R. (c. 2017) [c. 2001]."The most tightly bound nuclei". Physics and Astronomy.hyperphysics.phy-astr.gsu.edu. HyperPhysics pages.Georgia State University. Retrieved2019-02-21.
  4. ^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.
  5. ^Burbidge, E. Margaret;Burbidge, G.R.;Fowler, William A.;Hoyle, F. (1957-10-01)."Synthesis of the elements in stars".Reviews of Modern Physics.29 (4):547–650.Bibcode:1957RvMP...29..547B.doi:10.1103/RevModPhys.29.547.
  6. ^abMo, Houjun (2010).Galaxy formation and evolution. Frank Van den Bosch, S. White. Cambridge: Cambridge University Press. p. 460.ISBN 978-0-521-85793-2.OCLC 460059772.
  7. ^abcTruran, J.W.; Heger, A. (2003),"Origin of the Elements",Treatise on Geochemistry,1, Elsevier: 711,Bibcode:2003TrGeo...1....1T,doi:10.1016/b0-08-043751-6/01059-8,ISBN 978-0-08-043751-4, retrieved2023-02-17
  8. ^Truran, J. W.; Cowan, J. J.; Cameron, A. G. W. (1978-06-01)."The helium-driven r-process in supernovae".The Astrophysical Journal.222:L63 –L67.Bibcode:1978ApJ...222L..63T.doi:10.1086/182693.ISSN 0004-637X.
  9. ^abClayton, Donald D. (1983).Principles of stellar evolution and nucleosynthesis : with a new preface. Chicago: University of Chicago Press. pp. 430–435.ISBN 0-226-10953-4.OCLC 9646641.

Further reading

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Radioactive decay
Stellar nucleosynthesis
Other
processes
Capture
Exchange
Formation
Evolution
Classification
Remnants
Hypothetical
Nucleosynthesis
Structure
Properties
Star systems
Earth-centric
observations
Lists
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