Criticality occurs when sufficient fissile material (a critical mass) accumulates in a small volume such that each fission, on average, produces one neutron that in turn strikes another fissile atom and causes another fission. This causes the fission chain reaction to become self-sustaining within the mass of material. In other words, in a critical mass, the number of neutrons emitted over time, exactly equals the number of neutrons captured by another nucleus or lost to the environment. If the mass is supercritical, the number of neutrons emitted per unit time exceeds those absorbed or lost, resulting in a cascade of nuclear fissions at increasing rate.
Criticality can be achieved by using metallic uranium or plutonium, liquid solutions, or powder slurries. The chain reaction is influenced by a range of parameters noted by the mnemonics MAGIC MERV (mass, absorption, geometry, interaction, concentration, moderation, enrichment, reflection, and volume)2 and MERMAIDS (mass, enrichment, reflection, moderation, absorption, interaction, density, and shape).3 Temperature is also a factor in criticality.
Calculations can be performed to determine the conditions needed for a critical state, e.g. mass, geometry, concentration etc. Where fissile materials are handled in civil and military installations, specially trained personnel are employed to carry out such calculations and ensure that all reasonably practicable measures are used to prevent criticality accidents, during both planned normal operations and any potential process upset conditions that cannot be dismissed on the basis of negligible likelihoods (reasonably foreseeable accidents).
The assembly of a critical mass establishes a nuclear chain reaction, resulting in an exponential rate of change in the neutron population over space and time leading to an increase in neutron flux. This increased flux and attendant fission rate produces radiation that contains both a neutron and gamma ray component and is extremely dangerous to any unprotected nearby life-form. The rate of change of neutron population depends on the neutron generation time, which is characteristic of the neutron population, the state of "criticality", and the fissile medium.
A nuclear fission creates approximately 2.5 neutrons per fission event on average.4 Hence, to maintain a stable, exactly critical chain reaction, 1.5 neutrons per fission event must either leak from the system or be absorbed without causing further fissions.
For every 1,000 neutrons released by fission, a small number, typically no more than about 7, are delayed neutrons which are emitted from the fission product precursors, called delayed neutron emitters. This delayed neutron fraction, on the order of 0.007 for uranium, is crucial for the control of the neutron chain reaction in reactors. It is called one dollar of reactivity. The lifetime of delayed neutrons ranges from fractions of seconds to almost 100 seconds after fission. The neutrons are usually classified in 6 delayed neutron groups.5 The average neutron lifetime considering delayed neutrons is approximately 0.1 sec, which makes the chain reaction relatively easy to control over time. The remaining 993 prompt neutrons are released very quickly, approximately 1 μs after the fission event.
In steady-state operation, nuclear reactors operate at exact criticality. When at least one dollar of reactivity is added above the exact critical point (where the neutron production rate balances the rate of neutron losses, from both absorption and leakage) then the chain reaction does not rely on delayed neutrons. In such cases, the neutron population can rapidly increase exponentially, with a very small time constant, known as the prompt neutron lifetime. Thus there is a very large increase in neutron population over a very short time frame. Since each fission event contributes approximately 200 MeV per fission, this results in a very large energy burst as a "prompt-critical spike". This spike can be easily detected by radiation dosimetry instrumentation and "criticality accident alarm system" detectors that are properly deployed.
Criticality accidents are divided into one of two categories:
Excursion types can be classified into four categories depicting the nature of the evolution over time:
The prompt-critical excursion is characterized by a power history with an initial prompt-critical spike as previously noted, which either self-terminates or continues with a tail region that decreases over an extended period of time. The transient critical excursion is characterized by a continuing or repeating spike pattern (sometimes known as "chugging") after the initial prompt-critical excursion. The longest of the 22 process accidents occurred at Hanford Works in 1962 and lasted for 37.5 hours. The 1999 Tokaimura nuclear accident remained critical for about 20 hours, until it was shut down by active intervention. The exponential excursion is characterized by a reactivity of less than one dollar added, where the neutron population rises as an exponential over time, until either feedback effects or intervention reduce the reactivity. The exponential excursion can reach a peak power level, then decrease over time, or reach a steady-state power level, where the critical state is exactly achieved for a "steady-state" excursion.
The steady-state excursion is also a state which the heat generated by fission is balanced by the heat losses to the ambient environment. This excursion has been characterized by the Oklo natural reactor that was naturally produced within uranium deposits in Gabon, Africa about 1.7 billion years ago.
According to modern estimations, 67 known criticality accidents have occurred globally between 1945 and 1999, with none confirmed since. They have occurred during experimentation and production relating to nuclear weapon cores, research reactors, commercial reactors, and naval reactors.
A 2000 Los Alamos report7 recorded 60 criticality accidents between 1945 and 1999. These caused 21 deaths: seven in the United States, ten in the Soviet Union, two in Japan, one in Argentina, and one in Yugoslavia. Nine have been due to process accidents, and the others from reactor and critical experiment accidents.
The Los Alamos also grouped reactor and critical experiment accidents by material: 5 in fissile solutions, 15 in bare and reflected metal systems, 13 in moderated metal and oxide systems, and 5 in miscellaneous systems.
A 2014 University of Nevada report identified 7 further criticality accidents prior to 2000 that were not included in the Los Alamos report. Five occurred in the maintenance and refuelling of Soviet nuclear submarine reactors, and two occurred in Japanese commercial reactors during testing and were covered up until 2007.8
The table below gives a selection of well documented incidents.
One reactor destroyed, compartment replaced.
As of June 2024, there have been no confirmed criticality accidents since the 1999 Tokaimura nuclear accident.46 There have been suspected criticalities involved in the 2011 Fukushima nuclear accident and 2019 Nyonoksa radiation accident.
Additionally, the US State Department alleged in 2020 that Russia and possibly China have since 1996 up to 2019 carried out secret underground experiments involving supercriticality and thus a violation of the zero-yield standard, the Comprehensive Nuclear-Test-Ban Treaty, and possibly the Threshold Test Ban Treaty.47 Such experiments may have led to accidents similar to at Nyonoksa.
See also: Ionized-air glow
It has been observed that many criticality accidents emit a blue flash of light.57
The blue glow of a criticality accident results from the fluorescence of the excited ions, atoms and molecules of the surrounding medium falling back to unexcited states.58 This is also the reason electric sparks in air, including lightning, appear electric blue. The smell of ozone was said to be a sign of high ambient radioactivity by Chernobyl liquidators.
This blue flash or "blue glow" can also be attributed to Cherenkov radiation, if either water is involved in the critical system or when the blue flash is experienced by the human eye.59 Additionally, if ionizing radiation directly transects the vitreous humor of the eye, Cherenkov radiation can be generated and perceived as a visual blue glow/spark sensation.60
It is a coincidence that the color of Cherenkov light and light emitted by ionized air are a very similar blue; their methods of production are different. Cherenkov radiation does occur in air for high-energy particles (such as particle showers from cosmic rays)61 but not for the lower energy charged particles emitted from nuclear decay.
Some people reported feeling a "heat wave" during a criticality event.6263 It is not known whether this may be a psychosomatic reaction to the realization of what has just occurred (i.e. the high probability of inevitable impending death from a fatal radiation dose), or if it is a physical effect of heating (or non-thermal stimulation of heat sensing nerves in the skin) due to radiation emitted by the criticality event.
A review of all of the criticality accidents with eyewitness accounts indicates that the heat waves were only observed when the fluorescent blue glow (the non-Cherenkov light, see above) was also observed. This would suggest a possible relationship between the two, and indeed, one can be potentially identified. In dense air, over 30% of the emission lines from nitrogen and oxygen are in the ultraviolet range, and about 45% are in the infrared range. Only about 25% are in the visible range. Since the skin feels light (visible or otherwise) through its heating of the skin surface, it is possible that this phenomenon can explain the heat wave perceptions.64 However, this explanation has not been confirmed and may be inconsistent with the intensity of light reported by witnesses compared to the intensity of heat perceived. Further research is hindered by the small amount of data available from the few instances where humans have witnessed these incidents and survived long enough to provide a detailed account of their experiences and observations.
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