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What is Plutonium – Definition

Plutonium is a transuranic chemical element with atomic number 94. The chemical symbol for plutonium is Pu. Plutonium is mostly produced in nuclear reactors. Material Properties

What is Plutonium

Plutonium is a transuranic chemical element with atomic number 94 which means there are 94 protons and 94 electrons in the atomic structure. The chemical symbol for plutonium is Pu. It is a man-made isotope and is created from uranium in nuclear reactors. Therefore we can find this element in irradiated nuclear fuel or as a fissile material in nuclear weapons. In fact, scientists have found trace amounts of naturally-occurring plutonium. Four isotopes (238Pu, 239Pu, 240Pu and 244Pu) can be found in the nature.

  • Trace amounts of 239Pu originate in radiative capture of neutron on 238U. Free neutrons come from a spontaneous fission reaction of 238U.
  • Trace amounts of 244Pu originate in its relatively long half-life of about 80 million years.
  • The isotope 240Pu is in a decay chain of the isotope 244Pu.  These nuclei are present in the unalterable proportions of the radioactive equilibrium between 244Pu and 240Pu.
  • Extremely small amounts of 238Pu originate in extremely rare double negative beta decay of naturally-occurring isotope 238U.
Fissile / Fertile Material Cross-sectionsFissile / Fertile Material Cross-sections. Comparison of total fission cross-sections.

Source: JANIS (Java-based Nuclear Data Information Software); ENDF/B-VII.1

Plutonium is mostly produced in nuclear reactors. It is a product of the transmutation and subsequent nuclear decay of fertile isotope 238U. The transmutation and decay chain is shown below:

Equation - Plutonium 239 breeding from Uranium 238

Neutron capture may also be used to create fissile 239Pu from 238U, which is the dominant constituent of naturally occurring uranium (99.28%). Absorption of a neutron in the 238U nucleus yields 239U. The half-life of 239U is approximately 23.5 minutes. 239U decays (negative beta decay) to 239Np (neptunium), whose half-life is 2.36 days. 239Np decays (negative beta decay)  to 239Pu.

Higher isotopes of plutonium (240Pu, 241Pu and 242Pu) are created by also by neutron radiative capture, but in this case an absorber must be the plutonium nucleus. For example, 240Pu which is the second most common isotope, is formed by radiative capture of a neutron by 239Pu.The transmutation and decay chain is shown below.

Plutonium in Commercial Power Reactors

The nuclear transmutation of 238U into fissile isotopes of plutonium (the plutonium breeding) in the fuel cycle of all commercial light water reactors plays a significant role. In recent years, the commercial power industry has been emphasizing high-burnup fuels (up to 60 – 70 GWd/tU), which are typically enriched to higher percentages of 235U (up to 5%). As burnup increases, a higher percentage of the total power produced in a reactor is due to the plutonium bred inside the reactor.

At a burnup of 30 GWd/tU (gigawatt-days per metric ton of uranium), about 30% of the total energy released comes from bred plutonium. At 40 GWd/tU, that percentage increases to about forty percent. This corresponds to a breeding ratio for these reactors of about 0.4 to 0.5. That means, about half of the fissile fuel in these reactors is bred there. This effect extends the cycle length for such fuels to sometimes nearly twice what it would be otherwise. MOX fuel has a smaller breeding effect than 235U fuel and is thus more challenging and slightly less economic to use due to a quicker drop off in reactivity through cycle life.

plutonium breedingSource of data: JANIS (Java-based Nuclear Data Information Software); The JEFF-3.1.1 Nuclear Data Library

Isotopes of Plutonium

About twenty plutonium isotopes have been discovered and described. Except 244Pu, all these isotopes are artificial isotopes. The main isotopes, which have to be considered in the fuel cycle of all commercial light water reactors, are:

  • 238Pu. 238Pu belongs to the group of fertile isotopes. 238Pu decays via alpha decay to 234U with half-life of 87.7 years. 238Pu generates very high decay heat and has very high rate of spontaneous fission.
  • 239Pu. 239Pu belongs to the group of fissile isotopes. 239Pu decays via alpha decay to 235U with half-life of 24100 years. This isotope is the principal fissile isotope in use.
  • 240Pu. 240Pu belongs to the group of fertile isotopes. 240Pu decays via alpha decay to 236U with half-life of 6560 years. 240Pu has very high rate of spontaneous fission and has high radiative capture cross-section for thermal and also for resonance neutrons.
  • 241Pu. 241Pu belongs to the group of fissile isotopes. 241Pu decays via negative beta decay to 241Am with half-life of 14.3 years. This fissile isotope decays to non-fissile isotope with high radiative capture cross-section for thermal neutrons. An impact on reactivity of the nuclear fuel  is obvious.
  • 242Pu. 242Pu belongs to the group of non-fissile isotopes. 242Pu decays via alpha decay to 238U with half-life of 37300 years. 242Pu has very high rate of spontaneous fission but its quantity in the irradiated nuclear fuel is relatively low.

Half-lifes of Isotopes of Plutonium

Isotope Half-life / Decay mode Product
238Pu 87.7 y / alpha decay 234U
239Pu 24 100 y / alpha decay 235U
240Pu 6 560 y / alpha decay 236U
241Pu  14.3 y / beta decay 241Am
242Pu  373 500 y / alpha decay 238U
243Pu  4.96 d / beta decay 243Am
244Pu  80 000 000 y / alpha decay 240Pu
Half-life of plutonium isotopes.Half-lifes of isotopes of plutonium.
Source: Java-based Nuclear Data Information Software
Library: The JEFF-3.1.1 Nuclear Data Library

Isotope

 
Plutonium 239
Fissile / Fertile Material Cross-sections
Source: JANIS (Java-based Nuclear Data Information Software)
Library: ENDF/B-VII.1

239Pu is a fissile isotope, which means 239Pu is capable of undergoing fission reaction after absorbing thermal neutron. Moreover, 239Pu meets also alternative requirement that the amount (~2.88 per one fission by thermal neutron) of neutrons produced by fission of 239Pu is sufficient to sustain a nuclear fission chain reaction. This isotope is the principal fissile isotope of plutonium in use.

It is a man-made isotope and can be found in an irradiated uranium fuel or in a spent uranium fuel. Isotope 239Pu is formed in a nuclear reactor from fertile isotope 238U, which constitute more than 95% of uranium fuel (e.g.  PWRs and BWRs require 3% – 5% of 235U). Absorption of a resonance or thermal neutron by the 238U nucleus yields 239U. The half-life of 239U is approximately 23.5 minutes. 239U decays (negative beta decay) to 239Np (neptunium), whose half-life is 2.36 days. 239Np decays (negative beta decay)  to 239Pu. The transmutation and decay chain is shown below:

Equation - Plutonium 239 breeding from Uranium 238

239Pu itself decays via alpha decay into 235U with half-life of 24 100 years. 239Pu occasionally decays by spontaneous fission with very low rate of 0.00000000031%. On the other hand 239Pu has very high absorption cross-section for thermal neutrons. When loaded into the reactor core 239Pu can be easily fissioned by a neutron or can be transformed into the 240Pu via a radiative capture reaction.

See also: Plutonium 239

Plutonium 240
Fissile / Fertile Material Cross-sections
Source: JANIS (Java-based Nuclear Data Information Software)
Library: ENDF/B-VII.1

240Pu is a fertile isotope because its fission cross-section is very low in comparison with fissile isotopes. Radiative capture of a neutron leads to the formation of fissile 241Pu similarly to 238U which radiative capture leads to the formation of fissile 239Pu.

It is a man-made isotope and can be found in an irradiated uranium fuel or in a spent uranium fuel. Isotope 240Pu is formed in a nuclear reactor from fissile isotope 239Pu. Absorption of a resonance or thermal neutron by the 239Pu nucleus yields 240Pu.  Trace amounts can be found in the nature. The isotope 240Pu is in a decay chain of the primordial isotope 244Pu.  These nuclei are present in the unalterable proportions of the radioactive equilibrium between 244Pu and 240Pu.

240Pu has relatively high radiative capture cross-section (about 290 barns for thermal neutrons).

240Pu decays via alpha decay into 236U with half-life of 6560 years.

Plutonium 241
241Pu is a fissile isotope, which means 241Pu is capable of undergoing fission reaction after absorbing thermal neutron. Moreover 241Pu meets also alternative requirement that the amount of neutrons produced by fission of 241Pu (~2.94 per one fission by thermal neutron) is sufficient to sustain a nuclear fission chain reaction. Its fission cross-section for thermal neutrons is about 1012 barns (for 0.025 eV neutron). For fast neutrons its fission cross-section is on the order of barns.

Most of absorption reactions result in fission reaction, but a part of reactions result in radiative capture forming 242Pu. The cross-section for radiative capture for thermal neutrons is about 363 barns (for 0.025 eV neutron). Therefore about 74% of all absorption reactions result in radiative capture of neutron. About 26% of all absorption reactions result in fission.

It is a man-made isotope and can be found in an irradiated uranium fuel or in a spent uranium fuel. Isotope 241Pu is formed in a nuclear reactor from fertile isotope 240Pu. Absorption of a resonance or thermal neutron by the 240Pu nucleus yields 241Pu.

241Pu decays via beta decay into 241Am with half-life of only 14.3 years. 241Am has relatively high cross-section for radiative capture for thermal neutrons (~680 barns – 0.025eV). This two phenomena (decrease in fissile isotope and increase in neutron absorber) cause slight decrease in reactivity of irradiated fuel when stored in a spent fuel pool.

See also:

Uranium

See also:

Nuclear Fuel

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What is Plutonium Isotope – Definition

About twenty plutonium isotopes have been discovered and described. The main isotopes, which have to be considered in the fuel cycle of all commercial light water reactors, are here. Material Properties
About twenty plutonium isotopes have been discovered and described. Except 244Pu, all these isotopes are artificial isotopes. The main isotopes, which have to be considered in the fuel cycle of all commercial light water reactors, are:
  • 238Pu. 238Pu belongs to the group of fertile isotopes. 238Pu decays via alpha decay to 234U with half-life of 87.7 years. 238Pu generates very high decay heat and has very high rate of spontaneous fission.
  • 239Pu. 239Pu belongs to the group of fissile isotopes. 239Pu decays via alpha decay to 235U with half-life of 24100 years. This isotope is the principal fissile isotope in use.
  • 240Pu. 240Pu belongs to the group of fertile isotopes. 240Pu decays via alpha decay to 236U with half-life of 6560 years. 240Pu has very high rate of spontaneous fission and has high radiative capture cross-section for thermal and also for resonance neutrons.
  • 241Pu. 241Pu belongs to the group of fissile isotopes. 241Pu decays via negative beta decay to 241Am with half-life of 14.3 years. This fissile isotope decays to non-fissile isotope with high radiative capture cross-section for thermal neutrons. An impact on reactivity of the nuclear fuel  is obvious.
  • 242Pu. 242Pu belongs to the group of non-fissile isotopes. 242Pu decays via alpha decay to 238U with half-life of 37300 years. 242Pu has very high rate of spontaneous fission but its quantity in the irradiated nuclear fuel is relatively low.
Fissile / Fertile Material Cross-sectionsFissile / Fertile Material Cross-sections. Comparison of total fission cross-sections.Source: JANIS (Java-based Nuclear Data Information Software); ENDF/B-VII.1plutonium breedingSource of data: JANIS (Java-based Nuclear Data Information Software); The JEFF-3.1.1 Nuclear Data Library

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Plutonium and Power Reactors

See also:

Plutonium

See also:

Half-life of Plutonium

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What is Half-life and Decay Mode of Isotopes of Plutonium – Definition

This page summarizes basic decay properties of isotopes of plutonium. Half-lifes, decay modes, products of decay. Isotopes 238, 239, 240, 241, 242, 243, 244

Half-lifes of Isotopes of Plutonium

Isotope Half-life / Decay mode Product
238Pu 87.7 y / alpha decay 234U
239Pu 24 100 y / alpha decay 235U
240Pu 6 560 y / alpha decay 236U
241Pu  14.3 y / beta decay 241Am
242Pu  373 500 y / alpha decay 238U
243Pu  4.96 d / beta decay 243Am
244Pu  80 000 000 y / alpha decay 240Pu
Half-life of plutonium isotopes.Half-lifes of isotopes of plutonium.Source: Java-based Nuclear Data Information SoftwareLibrary: The JEFF-3.1.1 Nuclear Data Library

See also:

Plutonium Isotopes

See also:

Plutonium

See also:

Plutonium 239

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What is Plutonium 239 – Definition

Plutonium 239 is a fissile isotope and its fission cross-section for thermal neutrons is about 750 barns (for 0.025 eV neutron). Material Properties

Plutonium 239

239Pu is a fissile isotope, which means 239Pu is capable of undergoing fission reaction after absorbing thermal neutron. Moreover, 239Pu meets also alternative requirement that the amount (~2.88 per one fission by thermal neutron) of neutrons produced by fission of 239Pu is sufficient to sustain a nuclear fission chain reaction. This isotope is the principal fissile isotope of plutonium in use.It is a man-made isotope and can be found in an irradiated uranium fuel or in a spent uranium fuel. Isotope 239Pu is formed in a nuclear reactor from fertile isotope 238U, which constitute more than 95% of uranium fuel (e.g.  PWRs and BWRs require 3% – 5% of 235U). Absorption of a resonance or thermal neutron by the 238U nucleus yields 239U. The half-life of 239U is approximately 23.5 minutes. 239U decays (negative beta decay) to 239Np (neptunium), whose half-life is 2.36 days. 239Np decays (negative beta decay)  to 239Pu. The transmutation and decay chain is shown below:Equation - Plutonium 239 breeding from Uranium 238239Pu itself decays via alpha decay into 235U with half-life of 24 100 years. 239Pu occasionally decays by spontaneous fission with very low rate of 0.00000000031%. On the other hand 239Pu has very high absorption cross-section for thermal neutrons. When loaded into the reactor core 239Pu can be easily fissioned by a neutron or can be transformed into the 240Pu via a radiative capture reaction.

Plutonium 239 Fission

Plutonium 239 is a fissile isotope and its fission cross-section for thermal neutrons is about 750 barns (for 0.025 eV neutron). For fast neutrons its fission cross-section is on the order of barns. Most of absorption reactions result in fission reaction, but a part of reactions result in radiative capture forming 240Pu. The cross-section for radiative capture for thermal neutrons is about 270 barns (for 0.025 eV neutron). Therefore about 27% of all absorption reactions result in radiative capture of incident neutron. About 73% of all absorption reactions result in fission.

Plutonium fission vs. radiative capture

Typically, when plutonium 239 nucleus undergoes fission, the nucleus splits into two smaller nuclei (triple fission can also rarely occur), along with a few neutrons (the average is 2.89 neutrons per fission by thermal neutron) and release of energy in the form of heat and gamma rays. The average of the fragment atomic mass is about 120, but very few fragments near that average are found. It is much more probable to break up into unequal fragments, and the most probable fragment masses are around mass numbers 103 and 134 (and around atomic numbers 40 – Zirconium and 54 – Xenon).

Most of these fission fragments are highly unstable (radioactive) and undergo further radioactive decays to stabilize itself, therefore part of the released energy is radiated away from the reactor. On the other hand most of the energy released by one fission (~175MeV of total ~207MeV) appears as kinetic energy of these fission fragments. The fission fragments interact strongly with the surrounding atoms or molecules traveling at high speed, causing them to ionize. Creation of ion pairs requires energy, which is lost from the kinetic energy of the charged fission fragment causing it to decelerate. The positive ions and free electrons created by the passage of the charged fission fragment will then reunite, releasing energy in the form of heat (e.g. vibrational energy or rotational energy of atoms). This is the principle how fission fragments heat up fuel in the reactor core.

Fission Fragments
plutonium breedingSource of data: JANIS (Java-based Nuclear Data Information Software); The JEFF-3.1.1 Nuclear Data Library
Fissile / Fertile Material Cross-sectionsFissile / Fertile Material Cross-sections. Comparison of total fission cross-sections.Source: JANIS (Java-based Nuclear Data Information Software); ENDF/B-VII.1
Fissile / Fertile Material Cross-sectionsPlutonium 239. Comparison of total fission cross-section and cross-section for radiative capture.

Source: JANIS (Java-based Nuclear Data Information Software); ENDF/B-VII.1

Neutron production per one fission of Plutonium 239.Neutron production per one fission of Plutonium 239.
Source: JANIS (Java-based Nuclear Data Information Software)
The JEFF-3.1.1 Nuclear Data Library
Fission fragment yieldsFission fragment yield for different nuclei. The most probable fragment masses for 239Pu fission are around mass 103 (Zirconium) and 134 (Xenon).

See also:

Half-life of Plutonium

See also:

Plutonium

See also:

Plutonium 240

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What is Plutonium 240 – Definition

Plutonium 240 is a fertile isotope because its fission cross-section is very low in comparison with fissile isotopes. Isotope 240Pu is formed in a nuclear reactor. Material Properties

Plutonium 240

240Pu is a fertile isotope because its fission cross-section is very low in comparison with fissile isotopes. Radiative capture of a neutron leads to the formation of fissile 241Pu similarly to 238U which radiative capture leads to the formation of fissile 239Pu.

It is a man-made isotope and can be found in an irradiated uranium fuel or in a spent uranium fuel. Isotope 240Pu is formed in a nuclear reactor from fissile isotope 239Pu. Absorption of a resonance or thermal neutron by the 239Pu nucleus yields 240Pu.  Trace amounts can be found in the nature. The isotope 240Pu is in a decay chain of the primordial isotope 244Pu.  These nuclei are present in the unalterable proportions of the radioactive equilibrium between 244Pu and 240Pu.

240Pu has relatively high radiative capture cross-section (about 290 barns for thermal neutrons).240Pu decays via alpha decay into 236U with half-life of 6560 years.

Fissile / Fertile Material Cross-sectionsFissile / Fertile Material Cross-sections. Comparison of total fission cross-sections.Source: JANIS (Java-based Nuclear Data Information Software); ENDF/B-VII.1
Fissile / Fertile Material Cross-sectionsPlutonium 240. Comparison of total fission cross-section and cross-section for radiative capture.  Source: JANIS (Java-based Nuclear Data Information Software); ENDF/B-VII.1
plutonium breedingSource of data: JANIS (Java-based Nuclear Data Information Software); The JEFF-3.1.1 Nuclear Data Library

See also:

Plutonium 239

See also:

Plutonium

See also:

Plutonium 241

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What is Plutonium 241 – Definition

241Pu is a fissile isotope of plutonium. Isotope 241Pu is formed in a nuclear reactor from fertile isotope 240Pu. 241Pu decays via beta decay into 241Am. Material Properties

Plutonium 241

241Pu is a fissile isotope, which means 241Pu is capable of undergoing fission reaction after absorbing thermal neutron. Moreover 241Pu meets also alternative requirement that the amount of neutrons produced by fission of 241Pu (~2.94 per one fission by thermal neutron) is sufficient to sustain a nuclear fission chain reaction. Its fission cross-section for thermal neutrons is about 1012 barns (for 0.025 eV neutron). For fast neutrons its fission cross-section is on the order of barns.

Most of absorption reactions result in fission reaction, but a part of reactions result in radiative capture forming 242Pu. The cross-section for radiative capture for thermal neutrons is about 363 barns (for 0.025 eV neutron). Therefore about 74% of all absorption reactions result in radiative capture of neutron. About 26% of all absorption reactions result in fission.

It is a man-made isotope and can be found in an irradiated uranium fuel or in a spent uranium fuel. Isotope 241Pu is formed in a nuclear reactor from fertile isotope 240Pu. Absorption of a resonance or thermal neutron by the 240Pu nucleus yields 241Pu.241Pu decays via beta decay into 241Am with half-life of only 14.3 years. 241Am has relatively high cross-section for radiative capture for thermal neutrons (~680 barns – 0.025eV). This two phenomena (decrease in fissile isotope and increase in neutron absorber) cause slight decrease in reactivity of irradiated fuel when stored in a spent fuel pool.

Fissile / Fertile Material Cross-sectionsFissile / Fertile Material Cross-sections. Comparison of total fission cross-sections.Source: JANIS (Java-based Nuclear Data Information Software); ENDF/B-VII.1
Fissile / Fertile Material Cross-sectionsPlutonium 241. Comparison of total fission cross-section and cross-section for radiative capture.  Source: JANIS (Java-based Nuclear Data Information Software); ENDF/B-VII.1
plutonium breedingSource of data: JANIS (Java-based Nuclear Data Information Software); The JEFF-3.1.1 Nuclear Data Library

See also:

Plutonium 240

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Plutonium

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What is Thorium – Definition

What is Thorium. Thorium is a naturally-occurring chemical element with atomic number 90. The chemical symbol for thorium is Th. Material Properties

What is Thorium

Thorium is a naturally-occurring chemical element with atomic number 90 which means there are 90 protons and 90 electrons in the atomic structure. The chemical symbol for thorium is Th. Thorium was discovered in 1828 by norwegian mineralogist Morten Thrane Esmark. Joens Jakob Berzelius, the swedish chemist, named it after Thor, the Norse god of thunder.

Thorium  is a naturally-occurring element and it is estimated to be about three times more abundant than uranium. Thorium is commonly found in monazite sands (rare earth metals containing phosphate mineral).

Thorium has 6 naturally occurring isotopes. All of these isotopes are unstable (radioactive), but only 232Th is relatively stable with half-life of 14 billion years, which is comparable to the age of the Earth (~4.5×109 years). Isotope 232Th belongs to primordial nuclides and natural thorium consists primarily of isotope 232Th. Other isotopes (230Th, 229Th, 228Th, 234Th and 227Th) occur in nature as trace radioisotopes, which originate from decay of 232Th, 235U and 238U.

Fissile / Fertile Material Cross-sectionsFissile / Fertile Material Cross-sections. Comparison of total fission cross-sections.Source: JANIS (Java-based Nuclear Data Information Software); ENDF/B-VII.1Fissile / Fertile Material Cross-sectionsSource of data: JANIS (Java-based Nuclear Data Information Software); ENDF/B-VII.1

Thorium 232

Thorium 232, which alone makes up nearly all natural thorium, is the most common isotope of thorium in the nature. This isotope has the longest half-life (1.4 x 1010 years) of all isotopes with more than 83 protons. In fact, its half-life is considerably longer than the age of earth. Therefore 232Th belongs to primordial nuclides.

232Th decays via alpha decay into 228Ra . 232Th  occasionally decays by spontaneous fission with very low probability of 1.1 x 10-9 %.

232Th is a fertile isotope. 232Th is not capable of undergoing fission reaction after absorbing thermal neutron, on the other hand 232Th can be fissioned by fast neutron with energy higher than >1MeV. 232Th does not meet also alternative requirement to fissile materials. 232Th is not capable of sustaining a nuclear fission chain reaction, because too many of neutrons produced by fission of 232Th have lower energies than original neutron.

Isotope 232Th is key material in the thorium fuel cycle. Radiative capture of a neutron leads to the formation of fissile 233U. This process is called nuclear fuel breeding.

 
Uranium 233 breeding
n+_{90}^{232}textrm{Th}  {rightarrow} _{90}^{232}textrm{Th}+gamma rightarrow  _{91}^{233}textrm{Pa} rightarrow  _{92}^{233}textrm{U}

232Th is the predominant isotope of natural thorium. If this fertile material is loaded in the nuclear reactor, the nuclei of 232Th absorb a neutron and become nuclei of 233Th. The half-life of 233Th is approximately 21.8 minutes. 233Th decays (negative beta decay) to 233Pa (protactinium), whose half-life is 26.97 days. 233Pa decays (negative beta decay)  to 233U, that is very good fissile material. On the other hand proposed reactor designs must attempt to physically isolate the protactinium from further neutron capture before beta decay can occur.

See also:

Plutonium

See also:

Nuclear Fuel

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What is Thorium 232 – Definition

Thorium 232 is the most common isotope of thorium in the nature. 232Th is a fertile isotope, but is not capable of undergoing fission reaction after absorbing thermal neutron. Material Properties

Thorium 232

Thorium 232, which alone makes up nearly all natural thorium, is the most common isotope of thorium in the nature. This isotope has the longest half-life (1.4 x 1010 years) of all isotopes with more than 83 protons. In fact, its half-life is considerably longer than the age of earth. Therefore 232Th belongs to primordial nuclides.232Th decays via alpha decay into 228Ra . 232Th  occasionally decays by spontaneous fission with very low probability of 1.1 x 10-9 %.

232Th is a fertile isotope. 232Th is not capable of undergoing fission reaction after absorbing thermal neutron, on the other hand 232Th can be fissioned by fast neutron with energy higher than >1MeV. 232Th does not meet also alternative requirement to fissile materials. 232Th is not capable of sustaining a nuclear fission chain reaction, because too many of neutrons produced by fission of 232Th have lower energies than original neutron.Isotope 232Th is key material in the thorium fuel cycle. Radiative capture of a neutron leads to the formation of fissile 233U. This process is called nuclear fuel breeding

Uranium 233 breeding
n+_{90}^{232}textrm{Th} {rightarrow} _{90}^{232}textrm{Th}+gamma rightarrow _{91}^{233}textrm{Pa} rightarrow _{92}^{233}textrm{U}232Th is the predominant isotope of natural thorium. If this fertile material is loaded in the nuclear reactor, the nuclei of 232Th absorb a neutron and become nuclei of 233Th. The half-life of 233Th is approximately 21.8 minutes. 233Th decays (negative beta decay) to 233Pa (protactinium), whose half-life is 26.97 days. 233Pa decays (negative beta decay)  to 233U, that is very good fissile material. On the other hand proposed reactor designs must attempt to physically isolate the protactinium from further neutron capture before beta decay can occur.
What is Thorium
Thorium is a naturally-occurring chemical element with atomic number 90 which means there are 90 protons and 90 electrons in the atomic structure. The chemical symbol for thorium is Th. Thorium was discovered in 1828 by norwegian mineralogist Morten Thrane Esmark. Joens Jakob Berzelius, the swedish chemist, named it after Thor, the Norse god of thunder.Thorium  is a naturally-occurring element and it is estimated to be about three times more abundant than uranium. Thorium is commonly found in monazite sands (rare earth metals containing phosphate mineral).Thorium has 6 naturally occurring isotopes. All of these isotopes are unstable (radioactive), but only 232Th is relatively stable with half-life of 14 billion years, which is comparable to the age of the Earth (~4.5×109 years). Isotope 232Th belongs to primordial nuclides and natural thorium consists primarily of isotope 232Th. Other isotopes (230Th, 229Th, 228Th, 234Th and 227Th) occur in nature as trace radioisotopes, which originate from decay of 232Th, 235U and 238U.

Fissile / Fertile Material Cross-sectionsFissile / Fertile Material Cross-sections. Comparison of total fission cross-sections.Source: JANIS (Java-based Nuclear Data Information Software); ENDF/B-VII.1Fissile / Fertile Material Cross-sectionsSource of data: JANIS (Java-based Nuclear Data Information Software); ENDF/B-VII.1

See above:See also:

Thorium

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What is Primordial Matter – Definition

Primordial nuclides are nuclides found on the Earth that have existed in their current form since before Earth was formed. Primordial nuclides. Material Properties
Primordial matter consist of primordial nuclides. Primordial nuclides are nuclides found on the Earth that have existed in their current form since before Earth was formed. Primordial nuclides are residues from the Big Bang, from cosmogenic sources, and from ancient supernova explosions which occurred before the formation of the solar system. Only 288 such nuclides are known.

Bismuth, thorium, uranium and plutonium are primordial nuclides because they have half-lives long enough to still be found on the Earth, while all the others are produced either by radioactive decay or are synthesized in laboratories and nuclear reactors.

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Glossary

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What is Nuclear Breeding – Definition

The nuclear fuel breeding in the fuel cycle of all commercial light water reactors plays a significant role. The nuclear breeding permits the power reactor to operate longer. Material Properties

Nuclear Fuel Breeding

All commercial light water reactors contains both fissile and fertile materials. For example, most PWRs use low enriched uranium fuel with enrichment of 235U up to 5%. Therefore more than 95% of content of fresh fuel is fertile isotope 238U. During fuel burnup the fertile materials (conversion of 238U to fissile 239Pu known as fuel breeding) partially replace fissile 235U, thus permitting the power reactor to operate longer before the amount of fissile material decreases to the point where reactor criticality is no longer manageable.

The fuel breeding in the fuel cycle of all commercial light water reactors plays a significant role. In recent years, the commercial power industry has been emphasizing high-burnup fuels (up to 60 – 70 GWd/tU), which are typically enriched to higher percentages of 235U (up to 5%). As burnup increases, a higher percentage of the total power produced in a reactor is due to the fuel bred inside the reactor. 

Effect of Fuel Temperature on Nuclear Breeding
In LWRs, the fuel temperature influences the rate of nuclear breeding (the breeding ratio). In principle, the increase is the fuel temperature affects primarily the resonance escape probability, which is connected with the phenomenon usually known as the Doppler broadening (primarily 238U).  The impact of this resonance capture reaction  on the neutron balance is evident, the neutron is lost and this effect decreases the effective multiplication factor. On the other hand, this capture leads to formation of unstable nuclei with higher neutron number. Such unstable nuclei undergo a nuclear decay, which may lead to formation of another fissile nuclei. This process is also referred to as the nuclear transmutation and is responsible for new fuel breeding in nuclear reactors.

From this point of view, the neutron is utilized much more effectively when captured by 238U than when captured by absorbator, because the effective multiplication factor must in every state equal to 1 (Note that in PWRs the boric acid is used to compensate an excess of reactivity of reactor core along thefuel cycle). In other words it is better to capture the neutron (lower an excess of reactivity) by 238U, rather than by 10B nuclei.

At HFP (hot full power) state, the fuel temperature is directly given by:

  • Local linear heat rate (W/cm), which is given by neutron flux distribution. See also: Power Distribution
  • Fuel-cladding gap. As the fuel burnup increases the fuel-cladding gap reduces. This reduction is caused by the swelling of the fuel pellets and cladding creep. Fuel pellets swelling occurs because fission gases cause the pellet to swell resulting in a larger volume of the pellet. At the same time, the cladding is distorted by outside pressure (known as the cladding creep). These two effects result in direct fuel-cladding contact (e.g. at burnup of 25 GWd/tU). The direct fuel-cladding contact causes a significant reduction in fuel temperature profile, because the overall thermal conductivity increases due to conductive heat transfer.
  • Core inlet temperature. Core inlet temperature is directly given by system parameters in steam generators. When steam generators are operated at approximately 6.0MPa, it means the saturation temperature is equal to 275.6 °C. Since there must be always ΔT (~15°C) between the primary circuit and the secondary circuit, the reactor coolant (in the cold leg)have about 290.6°C (at HFP) at the inlet of the core. As the system pressure increases, the core inlet temperature must also increase. This increase causes slight increase in fuel temperature.

It can be summarized, the fuel breeding is lower, when the reactor is operated at lower power levels. Note that, in order to lower the reactor power, additional absorbators must be inserted inside the core.  The fuel breeding is higher  (e.g. 1 EFPD surplus), when the core inlet temperature of the reactor coolant is higher (e.g. 1°C for 300 EFPDs). It must be added, the inlet temperature is limited and it cannot be changed arbitrarily.

At a burnup of 30 GWd/tU (gigawatt-days per metric ton of uranium), about 30% of the total energy released comes from bred plutonium. At 40 GWd/tU, that percentage increases to about forty percent. This corresponds to a breeding ratio for these reactors of about 0.4 to 0.5. That means, about half of the fissile fuel in these reactors is bred there. This effect extends the cycle length for such fuels to sometimes nearly twice what it would be otherwise. MOX fuel has a smaller breeding effect than 235U fuel and is thus more challenging and slightly less economic to use due to a quicker drop off in reactivity through cycle life. 
Plutonium 239 breeding
 n+_{92}^{238}textrm{U} {rightarrow} _{92}^{239}textrm{U}+gamma rightarrow _{93}^{239}textrm{Np} rightarrow _{94}^{239}textrm{Pu} 

Neutron capture may also be used to create fissile 239Pu from 238U, which is the dominant constituent of naturally occurring uranium (99.28%). Absorption of a neutron in the 238U nucleus yields 239U. The half-life of 239U is approximately 23.5 minutes. 239decays (negative beta decay) to 239Np (neptunium), whose half-life is 2.36 days. 239Np decays (negative beta decay)  to 239Pu.

Uranium 233 breeding
n+_{90}^{232}textrm{Th} {rightarrow} _{90}^{232}textrm{Th}+gamma rightarrow _{91}^{233}textrm{Pa} rightarrow _{92}^{233}textrm{U}

232Th is the predominant isotope of natural thorium. If this fertile material is loaded in the nuclear reactor, the nuclei of 232Th absorb a neutron and become nuclei of 233Th. The half-life of 233Th is approximately 21.8 minutes. 233Th decays (negative beta decay) to 233Pa (protactinium), whose half-life is 26.97 days. 233Pa decays (negative beta decay)  to 233U, that is very good fissile material. On the other hand proposed reactor designs must attempt to physically isolate the protactinium from further neutron capture before beta decay can occur.

Comparison of cross-sections

Source: JANIS (Java-based nuclear information software)  http://www.oecd-nea.org/janis/

Fissile / Fertile Material Cross-sections
Source: JANIS (Java-based nuclear information software)
http://www.oecd-nea.org/janis/

Uranium 238. Comparison of total fission cross-section and cross-section for radiative capture.

Fissile / Fertile Material Cross-sections
Source: JANIS (Java-based nuclear information software)
http://www.oecd-nea.org/janis/

Thorium 232. Comparison of total fission cross-section and cross-section for radiative capture.

Pu-239 breeding. The uranium nucleus absorbs neutron, thus leads to Pu-239 breeding.
Pu-239 breeding. The uranium nucleus absorbs neutron, thus leads to Pu-239 breeding.

Conversion Factor – Breeding Ratio

A quantity that characterizes this conversion of fertile into fissile material is known as the conversion factor. The conversion factor is defined as the ratio of fissile material created to fissile material consumed either by fission or absorption. If the ratio is greater than one, it is often referred to as the breeding ratio, for then the reactor is creating more fissile material than it is consuming.

Conversion Factor - Breeding Ratio - definition

When C is unity, one new atom is produced per one atom consumed. It seems fertile material can be converted in the reactor indefinitely without adding new fuel, but in real reactors the content of fertile uranium 238 also decreases and fission products with significant absorption cross-section accumulates in the fuel as fuel burnup increases.

If we use a simplified model, which includes only uranium and plutonium-239, the conversion factor is:

Conversion Factor - Breeding Ratio - equation

This equation indicates that increased fuel enrichment results in a decreased value of C(0), the initial conversion factor. As the content of fissile material decreases with fuel burnup, the conversion factor increases. As this happens an increasing fraction of the fission comes from plutonium.

See also: Conversion Factor

See also:

Glossary

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