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Uranium-235

Isotope of uranium

Uranium-235

Isotope of uranium

FieldValue
imageHEUraniumC.jpg
image_captionUranium metal highly enriched in uranium-235
mass_number235
symbolU
num_neutrons143
num_protons92
abundance0.72%
halflife
decay_productThorium-231
decay_mass231
decay_symbolTh
parentProtactinium-235
parent_mass235
parent_symbolPa
parent_decayb-
parent2Neptunium-235
parent2_mass235
parent2_symbolNp
parent2_decayb+
parent3Plutonium-239
parent3_mass239
parent3_symbolPu
parent3_decaya
mass235.043928
spin7/2−
excess_energy
binding_energy
decay_mode1Alpha
decay_energy14.679

Uranium-235 (**** 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 barns. For fast neutrons it is on the order of 1 barn. Most neutron absorptions induce fission, though a minority (about 15%) result in the formation of uranium-236.

Fission properties

Nuclear fission seen with a uranium-235 nucleus

The fission of one atom of uranium-235 releases () inside the reactor. That corresponds to 19.54 TJ/mol, or 83.14 TJ/kg. Another 8.8 MeV escapes the reactor as anti-neutrinos. When nuclei are bombarded with neutrons, one of the many fission reactions that it can undergo is the following (shown in the adjacent image):

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 56 kg, which would form a sphere 17.32 cm 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;{{cite book |chapter-url = https://archive.org/details/encyclopediaofch00hamp |chapter-url-access = registration

SourceAverage energy
released [MeV]
Instantaneously released energy
Kinetic energy of fission fragments169.1
Kinetic energy of prompt neutrons4.8
Energy carried by prompt γ-rays7.0
Energy from decaying fission products
Energy of β− particles6.5
Energy of delayed γ-rays6.3
Energy released when those prompt neutrons which do not (re)produce fission are captured8.8
Total energy converted into heat in an operating thermal nuclear reactor202.5 MeV
Energy of anti-neutrinos8.8
Sum211.3 MeV

Decay

Uranium-235 is an alpha emitter, 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):

:\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}

Or in tabular form, including minor branches:

NuclideDecay modeHalf-life
(*a* = years)Energy released
MeVDecay
product
235Uα7.04×108 a4.678231Th
231Thβ−25.52 h0.391231Pa
231Paα3.27×104 a5.150227Ac
227Acβ− 98.62%
α 1.38%21.772 a0.045
5.042227Th
223Fr
227Thα18.693 d6.147223Ra
223Frβ− 99.994%
α 0.006%22.00 min1.149
5.561223Ra
219At
223Raα11.435 d5.979219Rn
219Atα 93.6%
β− 6.4%56 s6.342
1.567215Bi
219Rn
219Rnα3.96 s6.946215Po
215Biβ−7.6 min2.171215Po
215Poα
β− 2.3×10−4%1.781 ms7.526
0.715211Pb
215At
215Atα37 μs8.177211Bi
211Pbβ−36.16 min1.366211Bi
211Biα 99.724%
β− 0.276%2.14 min6.750
0.573207Tl
211Po
211Poα516 ms7.595207Pb
207Tlβ−4.77 min1.418207Pb
207Pbstable

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.

References

References

  1. {{NUBASE2020
  2. {{AME2020 II
  3. {{NNDC
  4. "#Standard Reaction: 235U(n,f)". IAEA.
  5. ""Some Physics of Uranium", ''UIC.com.au''".
  6. "Capture-to-fission Ratio".
  7. (1962). "The ratio of neutron capture to fission for uranium-235". Journal of Inorganic and Nuclear Chemistry.
  8. [https://web.archive.org/web/20190505175631/http://www.kayelaby.npl.co.uk/atomic_and_nuclear_physics/4_7/4_7_1.html Nuclear fission and fusion, and neutron interactions], National Physical Laboratory Archive.
  9. "FAS Nuclear Weapons Design FAQ".
  10. "Nuclear Weapon Design". Federation of American Scientists.
  11. {{NUBASE2020
  12. (1957-10-01). "Synthesis of the Elements in Stars". Reviews of Modern Physics.
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