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{{Short description|Problem in nuclear reactor start-up}}
The '''iodine pit''', also called the '''iodine hole''' or '''xenon pit''', is a temporary disabling of a nuclear reactor due to buildup of short-[[Half-life|lived]] [[nuclear poison]]s in the [[Reactor core|core]] of a [[nuclear reactor]]. The main isotope responsible is [[xenon-135]], mainly produced by natural [[beta decay|decay]] of [[iodine-135]]. Iodine-135 is a weak [[neutron absorber]], while xenon-135 is the most powerful known neutron absorber. When xenon-135 builds up in the [[fuel rod]]s of a reactor, it significantly lowers their [[reactivity (nuclear)|reactivity]], by absorbing a significant amount of the neutrons which provide the nuclear reaction.


The '''iodine pit''', also called the '''iodine hole''' or '''xenon pit''', is a temporary disabling of a [[nuclear reactor]] due to buildup of short-[[Half-life|lived]] [[nuclear poison]]s in the [[reactor core]]. The main isotope responsible is [[xenon-135|<sup>135</sup>Xe]], mainly produced by natural [[beta decay|decay]] of [[iodine-135|<sup>135</sup>I]]. <sup>135</sup>I is a weak [[Neutron capture|neutron absorber]], while <sup>135</sup>Xe is the strongest known neutron absorber. When <sup>135</sup>Xe builds up in the [[fuel rod]]s of a reactor, it significantly lowers their [[reactivity (nuclear)|reactivity]], by absorbing a significant amount of the neutrons that provide the nuclear reaction.
The presence of iodine-135 and xenon-135 in the reactor is one of the main reasons for its power fluctuations in reaction to change of [[control rod]] positions.

The presence of <sup>135</sup>I and <sup>135</sup>Xe in the reactor is one of the main reasons for its power fluctuations in reaction to change of [[control rod]] positions.


The buildup of short-lived [[fission product]]s acting as nuclear poisons is called '''reactor poisoning''', or '''xenon poisoning'''. Buildup of stable or long-lived neutron poisons is called '''reactor slagging'''.
The buildup of short-lived [[fission product]]s acting as nuclear poisons is called '''reactor poisoning''', or '''xenon poisoning'''. Buildup of stable or long-lived neutron poisons is called '''reactor slagging'''.


==Fission products decay and burnup==
==Fission products decay and burnup==
One of the common [[fission product]]s is [[tellurium-135]], which undergoes [[beta decay]] with [[half-life]] of 19 seconds to [[iodine-135]]. Iodine-135 itself is a weak neutron absorber. It builds up in the reactor in the rate proportional to the rate of fission, which is proportional to the reactor thermal power. Iodine-135 undergoes beta decay with half-life of 6.57 hours to [[xenon-135]]. The yield of <sup>135</sup>Xe for uranium fission is 6.3%; about 95% of xenon-135 originates from decay of iodine-135.
One of the common [[fission product]]s is [[tellurium-135|<sup>135</sup>Te]], which undergoes [[beta decay]] with [[half-life]] of 19 seconds to [[iodine-135|<sup>135</sup>I]]. <sup>135</sup>I itself is a weak neutron absorber. It builds up in the reactor in the rate proportional to the rate of fission, which is proportional to the reactor thermal power. <sup>135</sup>I undergoes beta decay with half-life of 6.57 hours to [[xenon-135|<sup>135</sup>Xe]]. The yield of <sup>135</sup>Xe for uranium fission is 6.3%; about 95% of <sup>135</sup>Xe originates from decay of <sup>135</sup>I.


<sup>135</sup>Xe has a huge [[Neutron cross-section|cross section]] for [[thermal neutron]]s, 2.6×10<sup>6</sup>&nbsp;[[Barn (unit)|barns]],<ref name="stacey">{{cite book
<sup>135</sup>Xe is the most powerful known [[neutron absorber]], with a [[Neutron cross-section|cross section]] for [[thermal neutron]]s of 2.6×10<sup>6</sup>&nbsp;[[barn (unit)|barns]],<ref name="stacey" >{{cite book
|first=Weston M.|last=Stacey|year=2007
|first=Weston M.|last=Stacey
|year=2007
|title=Nuclear Reactor Physics|page=213
|title=Nuclear Reactor Physics
|page=213
|url=https://books.google.com/books?id=y1UgcgVSXSkC&pg=PA213
|url=http://books.google.com/books?id=y1UgcgVSXSkC&pg=PA213|publisher=Wiley-VCH|isbn=3-527-40679-4}}</ref> so it acts as a [[neutron absorber]] or "[[nuclear poison|poison]]" that can slow or stop the [[chain reaction]] after a period of operation. This was discovered in the earliest nuclear reactors built by the American [[Manhattan Project]] for [[plutonium]] production. Fortunately the designers had made provisions in the design to increase the reactor's reactivity (the number of neutrons per fission that go on to fission other atoms of [[nuclear fuel]]).<ref>{{cite web
|publisher=Wiley-VCH
|author=Staff|url=http://web.archive.org/web/20101014114829/http://www.cfo.doe.gov/me70/manhattan/hanford_operational.htm
|isbn=978-3-527-40679-1
|title=Hanford Becomes Operational
}}</ref> so it acts as a "[[nuclear poison|poison]]" that can slow or stop the [[chain reaction]] after a period of operation. This was discovered in the earliest nuclear reactors built by the [[Manhattan Project]] for [[plutonium]] production. As a result, the designers made provisions in the design to increase the reactor's [[reactivity (nuclear)|reactivity]] (the number of neutrons per fission that go on to fission other atoms of [[nuclear fuel]]).<ref>{{cite web|author=Staff |url=http://www.cfo.doe.gov/me70/manhattan/hanford_operational.htm |title=Hanford Becomes Operational |work=The Manhattan Project: An Interactive History |publisher=U.S. Department of Energy, Office of History and Heritage Resources |accessdate=2013-03-12 |url-status=dead |archiveurl=https://web.archive.org/web/20101014114829/http://www.cfo.doe.gov/me70/manhattan/hanford_operational.htm |archivedate=October 14, 2010 }}</ref>
|work=The Manhattan Project: An Interactive History
|publisher=U.S. Department of Energy, Office of History and Heritage Resources
|accessdate=2013-03-12}}</ref>
<sup>135</sup>Xe reactor poisoning played a major role in the [[Chernobyl disaster#Conditions prior to the accident|Chernobyl disaster]].<ref>{{cite book
<sup>135</sup>Xe reactor poisoning played a major role in the [[Chernobyl disaster#Conditions prior to the accident|Chernobyl disaster]].<ref>{{cite book
|title=Modern Physics: An Introductory Text|year=2000
|title=Modern Physics: An Introductory Text|year=2000
|first=Jeremy I.|last=Pfeffer|author2=Nir, Shlomo
|first=Jeremy I.|last=Pfeffer
|author2=Nir, Shlomo
|pages=421 ff.|publisher=Imperial College Press
|pages=421 ff
|publisher=Imperial College Press
|isbn=1-86094-250-4|url=http://books.google.com/books?id=KmMYWP56t98C&pg=PA421}}</ref>
|isbn=1-86094-250-4|url=https://books.google.com/books?id=KmMYWP56t98C&pg=PA421
}}</ref>


By [[neutron capture]], <sup>135</sup>Xe is transformed ("burned") to [[Xenon-136|<sup>136</sup>Xe]], which is effectively{{efn|[[Isotopes of xenon#Xenon-136|Xenon-136]] undergoes [[double beta decay]] with an extremely long half-life of 2.165×10<sup>21</sup> years.}} stable and does not significantly absorb neutrons.
Xenon-135 is the most powerful known neutron absorber. Its buildup in the fuel rods significantly lowers [[reactivity (nuclear)|reactivity]] of the reactor core. By a [[neutron capture]], Xe-135 is transformed ("burned") to [[xenon-136]], which is stable and does not significantly absorb neutrons. The burn rate is proportional to the [[neutron flux]], which is proportional to the reactor power; a reactor running on twice the power will have twice the xenon burn rate.


The burn rate is proportional to the [[neutron flux]], which is proportional to the reactor power; a reactor running at twice the power will have twice the xenon burn rate. The production rate is also proportional to reactor power, but due to the half-life time of <sup>135</sup>I, this rate depends on the ''average'' power over the past several hours.
Xenon-135 beta-decays with half-life of 9.2 hours to [[caesium-135]]; a poisoned core will spontaneously recover after several half-lives. For some reactors, the <sup>135</sup>Xe concentration will be equal to its equilibrium concentration at full power. After about 3 days of shutdown, the core can be assumed to be free of <sup>135</sup>Xe, without it introducing errors into the reactivity calculations.<ref name="tpubdoe"/>


The increase of the <sup>135</sup>Xe concentration during lowering the reactor power can lower the reactivity enough to effectively shut down the reactor. As there are not enough neutrons to offset their absorption by <sup>135</sup>Xe, nor to burn the built-up xenon, the reactor has to be kept in shutdown state for 1–2 days until enough of <sup>135</sup>Xe decays. The inability of the reactor to be restarted in such state is called '''xenon precluded start up''' or '''dropping into an iodine pit'''; the duration of this situation is known as '''xenon dead time''', '''poison outage''', or '''iodine pit depth'''. Due to the risk of such situations, in the early Soviet nuclear industry, many servicing operations were performed on running reactors, as downtimes longer than an hour led to xenon buildup that could keep the reactor offline for significant time, lower the production of valuable weapon [[plutonium-239]], and cause an investigation by a committee and punishment of the operators.<ref>{{cite book|title=The History of the Soviet Atomic Industry|first=Arkadii|last=Kruglov|url=http://books.google.com/books?id=oSriY07qvdIC&pg=PA57&lpg=PA57&dq=%22iodine+pit%22#v=onepage&q=%22iodine%20pit%22&f=false|pages=57, 60|isbn=0-41526-970-9}}</ref>
As a result, a reactor operating at constant power has a fixed steady-state equilibrium concentration, but when ''lowering'' reactor power, the <sup>135</sup>Xe concentration can increase enough to effectively shut down the reactor. Without enough neutrons to offset their absorption by <sup>135</sup>Xe, nor to burn the built-up xenon, the reactor has to be kept in shutdown state for 1–2 days until enough of the <sup>135</sup>Xe decays.

<sup>135</sup>Xe beta-decays with half-life of 9.2 hours to [[caesium-135|<sup>135</sup>Cs]]; a poisoned core will spontaneously recover after several half-lives. After about 3 days of shutdown, the core can be assumed to be free of <sup>135</sup>Xe, without it introducing errors into the reactivity calculations.<ref name="tpubdoe"/>

The inability of the reactor to be restarted in such state is called '''xenon precluded start up''' or '''dropping into an iodine pit'''; the duration of this situation is known as '''xenon dead time''', '''poison outage''', or '''iodine pit depth'''. Due to the risk of such situations, in the early Soviet nuclear industry, many servicing operations were performed on running reactors, as downtimes longer than an hour led to xenon buildup that could keep the reactor offline for significant time, lower the production of [[plutonium-239|<sup>239</sup>Pu]], required for nuclear weapons, and would lead to investigations and punishment of the reactor operators.<ref >{{cite book
|title=The History of the Soviet Atomic Industry
|first=Arkadii|last=Kruglov
|date=15 August 2002|url=https://books.google.com/books?id=oSriY07qvdIC&q=%22iodine+pit%22&pg=PA57
|pages=57, 60
|publisher=CRC Press |isbn=0-41526-970-9
}}</ref>


===Xenon-135 oscillations===
===Xenon-135 oscillations===
The interdependence of <sup>135</sup>Xe buildup and the neutron flux can lead to periodic power fluctuations. In large reactors, with little neutron flux coupling between their regions, flux nonuniformities can lead to formation of '''xenon oscillations''', periodic local variations of reactor power moving through the core with the period of about 15 hours. A local variation of neutron flux causes increased burnup of <sup>135</sup>Xe and production of <sup>135</sup>I, depletion of <sup>135</sup>Xe increases the reactivity in the core region. The local power density can change by factor of three or more, while the average power of the reactor stays more or less unchanged. Strong negative [[temperature coefficient]] of reactivity causes [[damping]] of these oscillations, and is a desired reactor design feature.<ref name="tpubdoe">{{cite web|title=Xenon-135 Oscillations|url=http://www.tpub.com/content/doe/h1019v2/css/h1019v2_63.htm|accessdate=2014-08-21}}</ref>
The interdependence of <sup>135</sup>Xe buildup and the neutron flux can lead to periodic power fluctuations. In large reactors, with little neutron flux coupling between their regions, flux nonuniformities can lead to formation of '''xenon oscillations''', periodic local variations of reactor power moving through the core with a period of about 15 hours. A local variation of neutron flux causes increased burnup of <sup>135</sup>Xe and production of <sup>135</sup>I, depletion of <sup>135</sup>Xe increases the reactivity in the core region. The local power density can change by a factor of three or more, while the average power of the reactor stays more or less unchanged. Strong negative [[temperature coefficient]] of reactivity causes [[Damping ratio|damping]] of these oscillations, and is a desired reactor design feature.<ref name="tpubdoe" >{{cite book |title=Nuclear Physics and Reactor Theory |volume=2 of 2 |page=39 |chapter=Xenon-135 Oscillations |url=http://large.stanford.edu/courses/2014/ph241/alnoaimi2/docs/Nuclear-Volume2.pdf |chapter-url=http://www.tpub.com/content/doe/h1019v2/css/h1019v2_63.htm |date=January 1993 |publisher=U.S. Department of Energy |id=DOE-HDBK-1019/2-93 |accessdate=2014-08-21
}}</ref>


===Iodine pit behavior===
===Iodine pit behavior===
[[File:reactor shutdown xe chart en.png|thumb|right|400px|Development of <span style="color:RoyalBlue;">'''(1)'''</span> concentration of <sup>135</sup>Xe and <span style="color:OrangeRed;">'''(2)'''</span> reactor [[reactivity (nuclear)|reactivity]] after reactor shutdown. (Until shutdown the [[neutron flux]] was φ=10<sup>18</sup> neutrons/(m<sup>2</sup>·s).)]]<!-- TODO: upload the image from russian wikipedia -->
[[File:reactor shutdown xe chart en.png|thumb|right|400px|Development of <span style="color:RoyalBlue; font-weight:bold;">(1)</span> concentration of <sup>135</sup>Xe and <span style="color:OrangeRed; font-weight:bold;">(2)</span> reactor [[reactivity (nuclear)|reactivity]] after reactor shutdown. (Until shutdown the [[neutron flux]] was {{nobr|φ {{=}} 10{{sup|18}} neutrons/m<sup>2</sup>s}}.)]]<!-- TODO: upload the image from Russian wikipedia -->
The reactivity of the reactor after the shutdown first decreases, then increases again, having a shape of a pit; this gave the "iodine pit" its name. The degree of poisoning, and the depth of the pit and the corresponding duration of the outage, depends on the [[neutron flux]] before the shutdown. Iodine pit behavior is not observed in reactors with neutron flux density below 5×10<sup>16</sup> neutrons/(m<sup>2</sup>·s), as the <sup>135</sup>Xe is primarily removed by decay instead of neutron capture. As the core reactivity reserve is usually limited to 10% of Dk/k, thermal power reactors tend to use neutron flux at most about 5×10<sup>17</sup> neutrons/(m<sup>2</sup>·s) to avoid restart problems after shutdown.<ref name="tpubdoe"/>
The reactivity of the reactor after the shutdown first decreases, then increases again, having a shape of a pit; this gave the "iodine pit" its name. The degree of poisoning, and the depth of the pit and the corresponding duration of the outage, depends on the [[neutron flux]] before the shutdown. Iodine pit behavior is not observed in reactors with neutron flux density below 5×10<sup>16</sup> neutrons m<sup>−2</sup>s<sup>−1</sup>, as the <sup>135</sup>Xe is primarily removed by decay instead of neutron capture. As the core reactivity reserve is usually limited to 10% of Dk/k, thermal power reactors tend to use neutron flux at most about 5×10<sup>13</sup> neutrons m<sup>−2</sup>s<sup>−1</sup> to avoid restart problems after shutdown.<ref name="tpubdoe"/>


The concentration changes of <sup>135</sup>Xe in the reactor core after its [[shutdown (nuclear reactor)|shutdown]] is determined by the short-term [[power history]] of the reactor (which determines the initial concentrations of <sup>135</sup>I and <sup>135</sup>Xe), and then by the half-life differences of the isotopes governing the rates of its production and removal; if the activity of <sup>135</sup>I is higher than activity of <sup>135</sup>Xe, the concentration of <sup>135</sup>Xe will rise, and vice versa.
The concentration changes of <sup>135</sup>Xe in the reactor core after its [[shutdown (nuclear reactor)|shutdown]] is determined by the short-term [[power history]] of the reactor (which determines the initial concentrations of <sup>135</sup>I and <sup>135</sup>Xe), and then by the half-life differences of the isotopes governing the rates of its production and removal; if the activity of <sup>135</sup>I is higher than activity of <sup>135</sup>Xe, the concentration of <sup>135</sup>Xe will rise, and vice versa.
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During reactor operation at a given power level, a [[secular equilibrium]] is established within 40–50 hours, when the production rate of iodine-135, its decay to xenon-135, and its burning to xenon-136 and decay to caesium-135 are keeping the xenon-135 amount in the reactor constant at a given power level.
During reactor operation at a given power level, a [[secular equilibrium]] is established within 40–50 hours, when the production rate of iodine-135, its decay to xenon-135, and its burning to xenon-136 and decay to caesium-135 are keeping the xenon-135 amount in the reactor constant at a given power level.


The equilibrium concentration of <sup>135</sup>I is proportional to the neutron flux φ. The equilibrium concentration of <sup>135</sup>Xe however depends very little on neutron flux for φ>10<sup>17</sup> neutrons/(m<sup>2</sup>·s).
The equilibrium concentration of <sup>135</sup>I is proportional to the neutron flux φ. The equilibrium concentration of <sup>135</sup>Xe, however, depends very little on neutron flux for φ&nbsp;>&nbsp;10<sup>17</sup> neutrons m<sup>−2</sup>s<sup>−1</sup>.


Increase of the reactor power, and the increase of neutron flux, causes a rise in production of <sup>135</sup>I and consumption of <sup>135</sup>Xe. At first, the concentration of xenon decreases, then slowly increases again to a new equilibrium level as now excess <sup>135</sup>I decays. During typical power increases from 50 to 100%, the <sup>135</sup>Xe concentration falls for about 3 hours.<ref name="Xenon decay transient graph">[http://www.tpub.com/content/doe/h1019v2/css/h1019v2_64.htm Xenon decay transient graph]</ref>
Increase of the reactor power, and the increase of neutron flux, causes a rise in production of <sup>135</sup>I and consumption of <sup>135</sup>Xe. At first, the concentration of xenon decreases, then slowly increases again to a new equilibrium level as now excess <sup>135</sup>I decays. During typical power increases from 50 to 100%, the <sup>135</sup>Xe concentration falls for about 3 hours.<ref name="Xenon decay transient graph">[http://www.tpub.com/content/doe/h1019v2/css/h1019v2_64.htm Xenon decay transient graph]</ref>


Decrease of the reactor power lowers production of new <sup>135</sup>I, but also lowers the burn rate of <sup>135</sup>Xe. For a while <sup>135</sup>Xe builds up, governed by the amount of available <sup>135</sup>I, then its concentration decreases again to an equilibrium for the given reactor power level. The peak concentration of <sup>135</sup>Xe occurs after about 11.1 hours after power decrease, and the equilibrium is reached after about 50 hours. A total shutdown of the reactor is an extreme case of power decrease.<ref>{{cite book | title = DOE Fundamentals Handbook: Nuclear Physics and Reactor Theory Volume 2| date = January 1993 | publisher = U.S. Department of Energy|url=http://www.hss.doe.gov/nuclearsafety/techstds/docs/handbook/h1019v2.pdf | accessdate = 2013-03-12}}, pages 35-42.</ref>
Decrease of the reactor power lowers production of new <sup>135</sup>I, but also lowers the burn rate of <sup>135</sup>Xe. For a while <sup>135</sup>Xe builds up, governed by the amount of available <sup>135</sup>I, then its concentration decreases again to an equilibrium for the given reactor power level. The peak concentration of <sup>135</sup>Xe occurs after about 11.1 hours after power decrease, and the equilibrium is reached after about 50 hours. A total shutdown of the reactor is an extreme case of power decrease.<ref>{{cite book| title = DOE Fundamentals Handbook: Nuclear Physics and Reactor Theory Volume 2| date = January 1993| publisher = U.S. Department of Energy| url = http://www.hss.doe.gov/nuclearsafety/techstds/docs/handbook/h1019v2.pdf| accessdate = 2013-03-12| url-status = dead| archiveurl = https://web.archive.org/web/20121109194948/http://www.hss.doe.gov/nuclearsafety/techstds/docs/handbook/h1019v2.pdf| archivedate = 2012-11-09| pages=35–42}}</ref>


==Design precautions==
==Design precautions==
If sufficient [[reactivity (nuclear)|reactivity]] control authority is available, the reactor ''can'' be restarted, but a xenon burn-out [[Transient state|transient]] must be carefully managed. As the [[control rod]]s are extracted and [[critical mass|criticality]] is reached, [[neutron flux]] increases many orders of magnitude and the <sup>135</sup>Xe begins to absorb neutrons and be transmuted to <sup>136</sup>Xe. The reactor ''burns off'' the nuclear poison. As this happens, the reactivity increases and the control rods must be gradually re-inserted or reactor power will increase. The time constant for this burn-off transient depends on the reactor design, power level history of the reactor for the past several days (therefore the <sup>135</sup>Xe and <sup>135</sup>I concentrations present), and the new power setting. For a typical step up from 50% power to 100% power, <sup>135</sup>Xe concentration falls for about 3 hours.<ref name="Xenon decay transient graph"/>
If sufficient [[reactivity (nuclear)|reactivity]] control authority is available, the reactor ''can'' be restarted, but a xenon burn-out [[Transient state|transient]] must be carefully managed. As the [[control rod]]s are extracted and [[critical mass|criticality]] is reached, [[neutron flux]] increases many orders of magnitude and the <sup>135</sup>Xe begins to absorb neutrons and be transmuted to <sup>136</sup>Xe. The reactor ''burns off'' the nuclear poison. As this happens, the reactivity increases and the control rods must be gradually re-inserted or reactor power will increase. The time constant for this burn-off transient depends on the reactor design, power level history of the reactor for the past several days (therefore the <sup>135</sup>Xe and <sup>135</sup>I concentrations present), and the new power setting. For a typical step up from 50% power to 100% power, <sup>135</sup>Xe concentration falls for about 3 hours.<ref name="Xenon decay transient graph"/>


The first time <sup>135</sup>Xe poisoning of a nuclear reactor occurred was on September 28, 1944, in Pile 100-B at the Hanford Site. The [[B Reactor]] was a plutonium production reactor built by DuPont as part of the Manhattan Project. The reactor was started on September 27, 1944, but the power dropped unexpectedly shortly after, leading to a complete shutdown on the evening of September 28. Next morning the reaction restarted by itself. The physicists [[John Archibald Wheeler]], working for DuPont at the time, and [[Enrico Fermi]] were able to identify that the drop in the neutron flux and the consequent shutdown was caused by the accumulation of <sup>135</sup>Xe in the reactor fuel. The reactor was built with spare fuel channels that were then used to increase the normal operating levels of the reactor, thus increasing the burn-up rate of the accumulating <sup>135</sup>Xe.<ref>{{Cite web|url=https://www.manhattanprojectvoices.org/oral-histories/john-wheelers-interview-1965|title=John Wheeler's Interview (1965)|website=www.manhattanprojectvoices.org|language=en|access-date=2019-06-19}}</ref>
Reactors with large physical dimensions, e.g. the [[RBMK]] type, can develop significant nonuniformities of xenon concentration through the core. Control of such nonhomogeneously poisoned cores, especially at low power, is a challenging problem. The [[Chernobyl disaster]] resulted from an attempt to recover the reactor from a nonuniformly poisoned state.

Reactors with large physical dimensions, e.g. the [[RBMK]] type, can develop significant nonuniformities of xenon concentration through the core. Control of such non-homogeneously poisoned cores, especially at low power, is a challenging problem. The [[Chernobyl disaster]] occurred after recovering Reactor 4 from a nonuniformly poisoned state. Reactor power was significantly reduced in preparation for a test, to be followed by a scheduled shutdown. Just before the test, the power plummeted in part due to the accumulation of <sup>135</sup>Xe as a result of the low burn-up rate at low power. Operators withdrew most of the control rods in an attempt to bring the power back up. Unbeknownst to the operators, these and other actions put the reactor in a state where it was exposed to a feedback loop of neutron power and steam production. A flawed shutdown system then caused a power surge that led to the explosion and destruction of reactor 4.


The iodine pit effect has to be taken in account for reactor designs. High values of [[power density]], leading to high production rates of fission products and therefore higher iodine concentrations, require higher amount and enrichment of the [[nuclear fuel]] used to compensate. Without this reactivity reserve, a reactor shutdown would preclude its restart for several tens of hours until <sup>135</sup>I/<sup>135</sup>Xe sufficiently decays, especially shortly before replacement of spent fuel (with high [[burnup]] and accumulated [[nuclear poison]]s) with fresh one.
The iodine pit effect has to be taken in account for reactor designs. High values of [[power density]], leading to high production rates of fission products and therefore higher iodine concentrations, require higher amount and enrichment of the [[nuclear fuel]] used to compensate. Without this reactivity reserve, a reactor shutdown would preclude its restart for several tens of hours until <sup>135</sup>I/<sup>135</sup>Xe sufficiently decays, especially shortly before replacement of spent fuel (with high [[burnup]] and accumulated [[nuclear poison]]s) with fresh one.


Fluid fuel reactors cannot develop xenon inhomogeneity because the fuel is free to mix. Also, the [[Molten Salt Reactor Experiment]] demonstrated that spraying the liquid fuel as droplets through a gas space during recirculation can allow xenon and krypton to leave the fuel salts. However, removing xenon-135 from neutron exposure also means that the reactor will produce more of the [[long-lived fission product]] [[caesium-135]].
Fluid fuel reactors cannot develop xenon inhomogeneity because the fuel is free to mix. Also, the [[Molten Salt Reactor Experiment]] demonstrated that spraying the liquid fuel as droplets through a gas space during recirculation can allow xenon and krypton to leave the fuel salts.{{efn|Removing <sup>135</sup>Xe from neutron exposure also means that the reactor will produce more of the [[long-lived fission product]] [[caesium-135|<sup>135</sup>Cs]]. However, thanks to the short 3.8-minute half-life of <sup>137</sup>Xe it will mostly decay in the fuel, leaving the <sup>135</sup>Cs significantly less contaminated with the far more active [[caesium-137|<sup>137</sup>Cs]] and so more suitable for treatments like [[nuclear transmutation]].}}

==Notes==
{{notelist}}


==References==
==References==
{{Reflist}}
* {{cite web
* {{cite web
|author=C.R. Nave
|author=C.R. Nave
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* Петунин В. П. Теплоэнергетика ядерных установок. — М.: Атомиздат, 1960.
* Петунин В. П. Теплоэнергетика ядерных установок. — М.: Атомиздат, 1960.
* Левин В. Е. Ядерная физика и ядерные реакторы. ''4-е изд.'' — М.: Атомиздат, 1979.
* Левин В. Е. Ядерная физика и ядерные реакторы. ''4-е изд.'' — М.: Атомиздат, 1979.

<references/>


[[Category:Nuclear technology]]
[[Category:Nuclear technology]]
[[Category:Neutron poisons]]
[[Category:Neutron poisons]]
[[Category:Isotopes of xenon]]
[[Category:Isotopes of xenon]]
[[Category:Isotopes of iodine]]

Latest revision as of 02:49, 12 April 2024

The iodine pit, also called the iodine hole or xenon pit, is a temporary disabling of a nuclear reactor due to buildup of short-lived nuclear poisons in the reactor core. The main isotope responsible is 135Xe, mainly produced by natural decay of 135I. 135I is a weak neutron absorber, while 135Xe is the strongest known neutron absorber. When 135Xe builds up in the fuel rods of a reactor, it significantly lowers their reactivity, by absorbing a significant amount of the neutrons that provide the nuclear reaction.

The presence of 135I and 135Xe in the reactor is one of the main reasons for its power fluctuations in reaction to change of control rod positions.

The buildup of short-lived fission products acting as nuclear poisons is called reactor poisoning, or xenon poisoning. Buildup of stable or long-lived neutron poisons is called reactor slagging.

Fission products decay and burnup

[edit]

One of the common fission products is 135Te, which undergoes beta decay with half-life of 19 seconds to 135I. 135I itself is a weak neutron absorber. It builds up in the reactor in the rate proportional to the rate of fission, which is proportional to the reactor thermal power. 135I undergoes beta decay with half-life of 6.57 hours to 135Xe. The yield of 135Xe for uranium fission is 6.3%; about 95% of 135Xe originates from decay of 135I.

135Xe is the most powerful known neutron absorber, with a cross section for thermal neutrons of 2.6×106 barns,[1] so it acts as a "poison" that can slow or stop the chain reaction after a period of operation. This was discovered in the earliest nuclear reactors built by the Manhattan Project for plutonium production. As a result, the designers made provisions in the design to increase the reactor's reactivity (the number of neutrons per fission that go on to fission other atoms of nuclear fuel).[2] 135Xe reactor poisoning played a major role in the Chernobyl disaster.[3]

By neutron capture, 135Xe is transformed ("burned") to 136Xe, which is effectively[a] stable and does not significantly absorb neutrons.

The burn rate is proportional to the neutron flux, which is proportional to the reactor power; a reactor running at twice the power will have twice the xenon burn rate. The production rate is also proportional to reactor power, but due to the half-life time of 135I, this rate depends on the average power over the past several hours.

As a result, a reactor operating at constant power has a fixed steady-state equilibrium concentration, but when lowering reactor power, the 135Xe concentration can increase enough to effectively shut down the reactor. Without enough neutrons to offset their absorption by 135Xe, nor to burn the built-up xenon, the reactor has to be kept in shutdown state for 1–2 days until enough of the 135Xe decays.

135Xe beta-decays with half-life of 9.2 hours to 135Cs; a poisoned core will spontaneously recover after several half-lives. After about 3 days of shutdown, the core can be assumed to be free of 135Xe, without it introducing errors into the reactivity calculations.[4]

The inability of the reactor to be restarted in such state is called xenon precluded start up or dropping into an iodine pit; the duration of this situation is known as xenon dead time, poison outage, or iodine pit depth. Due to the risk of such situations, in the early Soviet nuclear industry, many servicing operations were performed on running reactors, as downtimes longer than an hour led to xenon buildup that could keep the reactor offline for significant time, lower the production of 239Pu, required for nuclear weapons, and would lead to investigations and punishment of the reactor operators.[5]

Xenon-135 oscillations

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The interdependence of 135Xe buildup and the neutron flux can lead to periodic power fluctuations. In large reactors, with little neutron flux coupling between their regions, flux nonuniformities can lead to formation of xenon oscillations, periodic local variations of reactor power moving through the core with a period of about 15 hours. A local variation of neutron flux causes increased burnup of 135Xe and production of 135I, depletion of 135Xe increases the reactivity in the core region. The local power density can change by a factor of three or more, while the average power of the reactor stays more or less unchanged. Strong negative temperature coefficient of reactivity causes damping of these oscillations, and is a desired reactor design feature.[4]

Iodine pit behavior

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Development of (1) concentration of 135Xe and (2) reactor reactivity after reactor shutdown. (Until shutdown the neutron flux was φ = 1018 neutrons/m2s.)

The reactivity of the reactor after the shutdown first decreases, then increases again, having a shape of a pit; this gave the "iodine pit" its name. The degree of poisoning, and the depth of the pit and the corresponding duration of the outage, depends on the neutron flux before the shutdown. Iodine pit behavior is not observed in reactors with neutron flux density below 5×1016 neutrons m−2s−1, as the 135Xe is primarily removed by decay instead of neutron capture. As the core reactivity reserve is usually limited to 10% of Dk/k, thermal power reactors tend to use neutron flux at most about 5×1013 neutrons m−2s−1 to avoid restart problems after shutdown.[4]

The concentration changes of 135Xe in the reactor core after its shutdown is determined by the short-term power history of the reactor (which determines the initial concentrations of 135I and 135Xe), and then by the half-life differences of the isotopes governing the rates of its production and removal; if the activity of 135I is higher than activity of 135Xe, the concentration of 135Xe will rise, and vice versa.

During reactor operation at a given power level, a secular equilibrium is established within 40–50 hours, when the production rate of iodine-135, its decay to xenon-135, and its burning to xenon-136 and decay to caesium-135 are keeping the xenon-135 amount in the reactor constant at a given power level.

The equilibrium concentration of 135I is proportional to the neutron flux φ. The equilibrium concentration of 135Xe, however, depends very little on neutron flux for φ > 1017 neutrons m−2s−1.

Increase of the reactor power, and the increase of neutron flux, causes a rise in production of 135I and consumption of 135Xe. At first, the concentration of xenon decreases, then slowly increases again to a new equilibrium level as now excess 135I decays. During typical power increases from 50 to 100%, the 135Xe concentration falls for about 3 hours.[6]

Decrease of the reactor power lowers production of new 135I, but also lowers the burn rate of 135Xe. For a while 135Xe builds up, governed by the amount of available 135I, then its concentration decreases again to an equilibrium for the given reactor power level. The peak concentration of 135Xe occurs after about 11.1 hours after power decrease, and the equilibrium is reached after about 50 hours. A total shutdown of the reactor is an extreme case of power decrease.[7]

Design precautions

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If sufficient reactivity control authority is available, the reactor can be restarted, but a xenon burn-out transient must be carefully managed. As the control rods are extracted and criticality is reached, neutron flux increases many orders of magnitude and the 135Xe begins to absorb neutrons and be transmuted to 136Xe. The reactor burns off the nuclear poison. As this happens, the reactivity increases and the control rods must be gradually re-inserted or reactor power will increase. The time constant for this burn-off transient depends on the reactor design, power level history of the reactor for the past several days (therefore the 135Xe and 135I concentrations present), and the new power setting. For a typical step up from 50% power to 100% power, 135Xe concentration falls for about 3 hours.[6]

The first time 135Xe poisoning of a nuclear reactor occurred was on September 28, 1944, in Pile 100-B at the Hanford Site. The B Reactor was a plutonium production reactor built by DuPont as part of the Manhattan Project. The reactor was started on September 27, 1944, but the power dropped unexpectedly shortly after, leading to a complete shutdown on the evening of September 28. Next morning the reaction restarted by itself. The physicists John Archibald Wheeler, working for DuPont at the time, and Enrico Fermi were able to identify that the drop in the neutron flux and the consequent shutdown was caused by the accumulation of 135Xe in the reactor fuel. The reactor was built with spare fuel channels that were then used to increase the normal operating levels of the reactor, thus increasing the burn-up rate of the accumulating 135Xe.[8]

Reactors with large physical dimensions, e.g. the RBMK type, can develop significant nonuniformities of xenon concentration through the core. Control of such non-homogeneously poisoned cores, especially at low power, is a challenging problem. The Chernobyl disaster occurred after recovering Reactor 4 from a nonuniformly poisoned state. Reactor power was significantly reduced in preparation for a test, to be followed by a scheduled shutdown. Just before the test, the power plummeted in part due to the accumulation of 135Xe as a result of the low burn-up rate at low power. Operators withdrew most of the control rods in an attempt to bring the power back up. Unbeknownst to the operators, these and other actions put the reactor in a state where it was exposed to a feedback loop of neutron power and steam production. A flawed shutdown system then caused a power surge that led to the explosion and destruction of reactor 4.

The iodine pit effect has to be taken in account for reactor designs. High values of power density, leading to high production rates of fission products and therefore higher iodine concentrations, require higher amount and enrichment of the nuclear fuel used to compensate. Without this reactivity reserve, a reactor shutdown would preclude its restart for several tens of hours until 135I/135Xe sufficiently decays, especially shortly before replacement of spent fuel (with high burnup and accumulated nuclear poisons) with fresh one.

Fluid fuel reactors cannot develop xenon inhomogeneity because the fuel is free to mix. Also, the Molten Salt Reactor Experiment demonstrated that spraying the liquid fuel as droplets through a gas space during recirculation can allow xenon and krypton to leave the fuel salts.[b]

Notes

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  1. ^ Xenon-136 undergoes double beta decay with an extremely long half-life of 2.165×1021 years.
  2. ^ Removing 135Xe from neutron exposure also means that the reactor will produce more of the long-lived fission product 135Cs. However, thanks to the short 3.8-minute half-life of 137Xe it will mostly decay in the fuel, leaving the 135Cs significantly less contaminated with the far more active 137Cs and so more suitable for treatments like nuclear transmutation.

References

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  1. ^ Stacey, Weston M. (2007). Nuclear Reactor Physics. Wiley-VCH. p. 213. ISBN 978-3-527-40679-1.
  2. ^ Staff. "Hanford Becomes Operational". The Manhattan Project: An Interactive History. U.S. Department of Energy, Office of History and Heritage Resources. Archived from the original on October 14, 2010. Retrieved 2013-03-12.
  3. ^ Pfeffer, Jeremy I.; Nir, Shlomo (2000). Modern Physics: An Introductory Text. Imperial College Press. pp. 421 ff. ISBN 1-86094-250-4.
  4. ^ a b c "Xenon-135 Oscillations". Nuclear Physics and Reactor Theory (PDF). Vol. 2 of 2. U.S. Department of Energy. January 1993. p. 39. DOE-HDBK-1019/2-93. Retrieved 2014-08-21.
  5. ^ Kruglov, Arkadii (15 August 2002). The History of the Soviet Atomic Industry. CRC Press. pp. 57, 60. ISBN 0-41526-970-9.
  6. ^ a b Xenon decay transient graph
  7. ^ DOE Fundamentals Handbook: Nuclear Physics and Reactor Theory Volume 2 (PDF). U.S. Department of Energy. January 1993. pp. 35–42. Archived from the original (PDF) on 2012-11-09. Retrieved 2013-03-12.
  8. ^ "John Wheeler's Interview (1965)". www.manhattanprojectvoices.org. Retrieved 2019-06-19.
  • C.R. Nave. "Xenon Poisoning". HyperPhysics. Georgia State University. Retrieved 2013-03-12.
  • Петунин В. П. Теплоэнергетика ядерных установок. — М.: Атомиздат, 1960.
  • Левин В. Е. Ядерная физика и ядерные реакторы. 4-е изд. — М.: Атомиздат, 1979.