Uranium-235

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Template:Short description Template:Redirect Template:Infobox isotope Uranium-235 (Template:SimpleNuclide or U-235) is an isotope of uranium making up about 0.72% of natural uranium. Unlike the predominant isotope uranium-238, it is fissile, i.e., it can sustain a nuclear chain reaction. It is the only fissile isotope that exists in nature as a primordial nuclide.

Uranium-235 has a half-life of 704 million years. It was discovered in 1935 by Arthur Jeffrey Dempster. Its fission cross section for slow thermal neutrons is about Template:Val barns.<ref name="StandardReactionIAEA">Template:Cite web</ref> For fast neutrons it is on the order of 1 barn.<ref>Template:Cite web</ref> Most neutron absorptions induce fission, though a minority (about 15%) result in the formation of uranium-236.<ref name=power-ratio>Template:Cite web</ref><ref name=ratio-1962>Template:Cite journal</ref>

Fission properties

Nuclear fission seen with a uranium-235 nucleus

The fission of one atom of uranium-235 releases Template:Val (Template:Val) inside the reactor. That corresponds to 19.54 TJ/mol, or 83.14 TJ/kg.<ref name="kayelaby">Nuclear fission and fusion, and neutron interactions, National Physical Laboratory Archive.</ref> Another 8.8 MeV escapes the reactor as anti-neutrinos. When Template:Chem nuclei are bombarded with neutrons, one of the many fission reactions that it can undergo is the following (shown in the adjacent image):

Template:Center Heavy water reactors and some graphite moderated reactors can use natural uranium, but light water reactors must use low enriched uranium because of the higher neutron absorption of light water. Uranium enrichment removes some of the uranium-238 and increases the proportion of uranium-235. Highly enriched uranium (HEU), which contains an even greater proportion of uranium-235, is sometimes used in the reactors of nuclear submarines, research reactors and nuclear weapons.

If at least one neutron from uranium-235 fission strikes another nucleus and causes it to fission, then the chain reaction will continue. If the reaction continues to sustain itself, it is said to be critical, and the mass of 235U required to produce the critical condition is said to be a critical mass. A critical chain reaction can be achieved at low concentrations of 235U if the neutrons from fission are moderated to lower their speed, since the probability for fission with slow neutrons is greater. A fission chain reaction produces intermediate mass fragments which are highly radioactive and produce further energy by their radioactive decay. Some of them produce neutrons, called delayed neutrons, which contribute to the fission chain reaction. The power output of nuclear reactors is adjusted by the location of control rods containing elements that strongly absorb neutrons, e.g., boron, cadmium, or hafnium, in the reactor core. In nuclear bombs, the reaction is uncontrolled and the large amount of energy released creates a nuclear explosion.

Nuclear weapons

The Little Boy gun-type atomic bomb dropped on Hiroshima on August 6, 1945, was made of highly enriched uranium with a large tamper. The nominal spherical critical mass for an untampered 235U nuclear weapon is Template:Convert,<ref>Template:Cite web</ref> which would form a sphere Template:Convert in diameter. The material must be 85% or more of 235U and is known as weapons grade uranium, though for a crude and inefficient weapon 20% enrichment is sufficient (called weapon(s)-usable). Even lower enrichment can be used, but this results in the required critical mass rapidly increasing. Use of a large tamper, implosion geometries, trigger tubes, polonium triggers, tritium enhancement, and neutron reflectors can enable a more compact, economical weapon using one-fourth or less of the nominal critical mass, though this would likely only be possible in a country that already had extensive experience in engineering nuclear weapons. Most modern nuclear weapon designs use plutonium-239 as the fissile component of the primary stage;<ref name="FASdesign">Template:Cite book</ref><ref>Template:Cite book</ref> however, HEU (highly enriched uranium, in this case uranium that is 20% or more 235U) is frequently used in the secondary stage as an ignitor for the fusion fuel.

Source Average energy
released [MeV]<ref name="kayelaby" />
Instantaneously released energy
Kinetic energy of fission fragments 169.1
Kinetic energy of prompt neutrons Template:FspTemplate:Fsp4.8
Energy carried by prompt γ-rays Template:FspTemplate:Fsp7.0
Energy from decaying fission products
Energy of β− particles Template:FspTemplate:Fsp6.5
Energy of delayed γ-rays Template:FspTemplate:Fsp6.3
Energy released when those prompt neutrons which do not (re)produce fission are captured Template:FspTemplate:Fsp8.8
Total energy converted into heat in an operating thermal nuclear reactor 202.5 MeV
Energy of anti-neutrinos Template:FspTemplate:Fsp8.8
Sum 211.3 MeV

Decay

Uranium-235 is an alpha emitter,<ref>Template:NUBASE2020</ref> producing thorium-231. Uranium-235 is the main progenitor of the actinium series, one of the principal actinide decay chains, as it is the longest-lived and sole primordial nuclide (aside from the final end product, lead-207). Beginning with naturally occurring uranium-235, this series includes isotopes of astatine, bismuth, francium, lead, polonium, protactinium, radium, radon, thallium, and thorium, all of which are present in natural uranium sources. The decay proceeds as (only main decay branches shown):

<math chem="">\begin{array}{l}{}\\

\ce{^{235}_{92}U->[\alpha][7.04 \times 10^8 \ \ce y] {^{231}_{90}Th} ->[\beta^-][25.52 \ \ce h] {^{231}_{91}Pa} ->[\alpha][3.27 \times 10^4 \ \ce y] {^{227}_{89}Ac}} \begin{Bmatrix} \ce{->[98.62\% \beta^-][21.772 \ \ce y] {^{227}_{90}Th} ->[\alpha][18.693 \ \ce d]} \\ \ce{->[1.38\% \alpha][21.772 \ \ce y] {^{223}_{87}Fr} ->[\beta^-][22.00 \ \ce{min}]} \end{Bmatrix} \ce{^{223}_{88}Ra ->[\alpha][11.435 \ \ce d] {^{219}_{86}Rn}} \\ \ce{^{219}_{86}Rn ->[\alpha][3.96 \ \ce s] {^{215}_{84}Po} ->[\alpha][1.781 \ \ce{ms}] {^{211}_{82}Pb} ->[\beta^-][36.16 \ \ce{min}] {^{211}_{83}Bi}} \begin{Bmatrix} \ce{->[99.724\% \alpha][2.14 \ \ce{min}] {^{207}_{81}Tl} ->[\beta^-][4.77 \ \ce{min}]} \\ \ce{->[0.276\% \beta^-][2.14 \ \ce{min}] {^{211}_{84}Po} ->[\alpha][0.516 \ \ce s]} \end{Bmatrix} \ce{^{207}_{82}Pb} \end{array}

</math> Or in tabular form, including minor branches:

Nuclide Decay mode Half-life
(a = years)
Energy released
MeV
Decay
product
235U α 7.04×108 a 4.678 231Th
231Th β 25.52 h 0.391 231Pa
231Pa α 3.27×104 a 5.150 227Ac
227Ac β 98.62%
α 1.38%
21.772 a 0.045
5.042
227Th
223Fr
227Th α 18.693 d 6.147 223Ra
223Fr β 99.994%
α 0.006%
22.00 min 1.149
5.561
223Ra
219At
223Ra α 11.435 d 5.979 219Rn
219At α 93.6%
β 6.4%
56 s 6.342
1.567
215Bi
219Rn
219Rn α 3.96 s 6.946 215Po
215Bi β 7.6 min 2.171 215Po
215Po α
β 2.3×10−4%
1.781 ms 7.526
0.715
211Pb
215At
215At α 37 μs 8.177 211Bi
211Pb β 36.16 min 1.366 211Bi
211Bi α 99.724%
β 0.276%
2.14 min 6.750
0.573
207Tl
211Po
211Po α 516 ms 7.595 207Pb
207Tl β 4.77 min 1.418 207Pb
207Pb stable

Astrophysical dating

Knowledge of current and theoretical production ratios of uranium-235 to uranium-238 allows radiometric dating, the time since modern uranium nuclei were formed in stellar nucleosynthesis.

The 1957 B2FH landmark paper in astrophysics explained the r-process by which both nuclei form. The authors predicted their relative abundances, and those of their rapidly alpha-chain decaying parent nuclides. Thus they predicted 1.64 as the 235U/238U ratio contributed to the interstellar medium by r-process events (supernovae and subsequently discovered kilonovae). This takes billions of years to diminish to their present value of 0.0072 (see natural uranium). They investigate scenarios for historical contribution to the solar nebula, before contribution is cut off at the Sun's formation 4.5 billion years ago. The scenarios are: a single supernova, a finite continuous uniform series of supernovae representing the lifetime of the Milky Way, and an infinite series representing the steady-state universe. From the second scenario, they estimated an age of the Milky Way at around 10 billion years, compared to a modern value of 13.61 billion years. Significantly, at this point the oldest known objects were stellar clusters at 6.5 billion years old.<ref name="l830">Template:Cite journal</ref>

References

Template:Reflist

Template:Isotope sequence Template:Isotopes of uranium