14 C in tree rings in the vicinity of the nuclear facility deployment areas *

14 C is naturally and artificially occurred radionuclide presented in atmosphere. 14 C is produced during the operation of a nuclear reactor of any type, enters the atmosphere and became a part of carbon cycle. The article presents the results of measuring the concentration of 14 C in the tree rings of 10 pines in the area of the Beloyarsk NPP (BelNPP) and the Institute of Nuclear Materials (INM), Zarechny. The sampling site, located 1200 m east of the INM, was selected based on long-term observations of meteorological parameters. The measurements were carried out using the accelerator mass spectrometer of the Budker Institute of Nuclear Physics, Novosibirsk. The influence of the operation of nuclear installations on the concentration of 14 C in the atmospheric air is demonstrated. The range of values for the concentration of carbon-14 in the sample ranged from 116.0 ± 4.4 to 192.0 ± 8.5 pMC.


Introduction
Currently, an important practical way to confirm the safe operation of nuclear power plants is the controlled release of radionuclides into the atmosphere. It is also necessary to monitor not only the source of radiation exposure, but also the environment affected (IAEA Safety Standards Series No. RS-G-1.8 2005). Each reactor plant type has a speci-fic list of radionuclides that both define the total activity of the release and contribute mostly to the public exposure doses (Ekidin et al. 2016). One of the key radionuclides responsible for the public exposure dose formation is 14 C found in the release from nuclear reactors of any type (Nazarov et al. 2018). The Russian list of contaminants, to which state environmental regulation measures apply, includes 14 С (List of Pollutants). The IAEA treats 14 С as an important factor of the environmental and human radiation impacts in the process of the NPP operation (Management of Waste 2004, INPRO Methodology 2016. In the 20 th century, the key anthropogenic source of 14 C were nuclear weapon tests conducted in the period between 1945 and 1980. The total activity of 14 С that entered the atmosphere during the above period was about 3.5·10 8 GBq (Vasilenko et al. 1992).
At the present time, the major anthropogenic sources of 14 C are nuclear reactors and irradiated fuel reprocessing facilities. Operation of a nuclear reactor leads to 14 C forming largely as a result of the neutron activation reactions involving nuclei of various chemical elements contained in structural materials, fuel elements, moderator and coolant.
The major mechanisms for generation of 14 С in nuclear power reactors are (Management of Waste 2004) a. the 14 N(n, p) 14 C reaction with a very high thermal neutron capture cross-section of 1.82 barn (1 barn = 1⋅10 -24 cm 2 ); b. the 17 O(n, α) 14 C reaction with a high thermal neutron capture cross-section (0.24 barn); c. the 13 C(n, γ) 14 C reaction with a small cross-section (0.9⋅10 -3 barn); d. ternary fission of fuel nuclei.
It has been counted that 1.1·10 5 GBq/y is released into the atmosphere as gases from all nuclear power plants in operation across the world, while about 3.7·10 5 GBq/y of 14 C is released in gaseous or liquid forms by spent nuclear fuel reprocessing facilities (Sources and Effects of Ionizing Radiation 2000).
Apart from 14 C entering the environment in a technological way, there is a natural path based on atoms of 14 N absorbing thermal neutrons which result from the interaction of cosmic rays with atmospheric substances: 14 N(n, p) 14 C. About 1.4·10 6 GBq of radiocarbon forms annually in such a way, and the total amount of 14 C in the atmosphere is estimated at 1.4·10 8 GBq. Most of 14 С is contained in oceans (about 1.0·10 10 GBq) (Management of Waste 2004).
The entry of artificial radiocarbon into the atmosphere makes it possible to investigate the distribution of the 14 С concentration in the growth rings in trees in the nuclear reactor deployment localities. Assumedly, 14 С enters the atmosphere with the nuclear reactor emission (largely in the form of 14 СО 2 ), fits into the natural carbon cycle, and is absorbed by vegetation in the process of photosynthesis. It is expected that there will be more 14 C observed in the tree growth rings, the larger quantity of it entered the atmosphere in the given ring formation year, that is, the atmospheric concentration of 14 С in the woody plant growing period through the year will correlate with the concentration of 14 С in the growth ring for the given year.
The territory chosen to test the above assumptions was the Middle Urals which contains nuclear reactors of different types in operation at the Beloyarsk Nuclear Power Plant (BelNPP) and a research nuclear reactor operated by the Institute of Nuclear Materials (INM).
The parameters of the above reactor plants are presented in Table 1.
The amount of 14 C forming in nuclear reactors depends on the fuel enrichment, the concentrations of nitrogen impurities in fuel and structural materials, and the fuel assembly, coolant and moderator temperature.
The AMB-100 and AMB-200 nuclear plants are predecessors of the RBMK water-cooled graphite-moderated reactors, so reactions a) and c) are the key mechanisms for the 14 C formation. Since the BN-600 and BN-800 reactors are fast-neutron reactors, they do not have moderator. Therefore, the major sources of the 14 C formation will be oxygen in fuel and nitrogen impurities in fuel and fuel cladding, and the key 14 C formation mechanisms will be reactions a) and b). The IVV-2M nuclear research reactor is the prototype of the VVER water-cooled water-moderated reactor. It is used for production of radioisotopes ( 192 Ir, 14 C, 177 Lu, 131 Cs) and for all kinds of materials research (Russkikh 2017). The IVV-2M atmospheric emission contains 14 С formed largely by reactions a) and b), and as a result of handling the 14 С radioisotope part of which can enter the ventilation system.
The studies presented in the paper add to the findings on the subject matter of interest from studies by foreign authors. An analysis of the 14 C concentration in the components of environment in the vicinity of the Ignalina NPP, Lithuania, with two RBMK-1500 reactors is provided in (Magnusson et al. 2007, Mazeika et al. 2008, Ežerinskis et al. 2018. A similar study is presented in (Janovics et al. 2013) for the Paks NPP in Hungary which has four operating VVER-440 reactors. Specific to the latter is that it looks into the regularities of the 14 C distribution in the growth rings of a pine trees growing in the vicinity of a site with a number of different nuclear reactors.

Instrumentation and techniques
For the study, the location of the critical area was identified with the maximum radiation effects from the nuclear reactor release. The maximum bulk activity of 14 C in the air is assumed to be reached in the critical area. The calculation for the critical area was undertaken, as shown in (RB-106-15 2015), using data from the weather station of Verkhneye Dubrovo (25 km off the city of Zarechny). Common pine (Pinussylvestris L.), the most representative type of woody vegetation aged between 40 and 70 years, was chosen in the critical area as the target. Fig. 1 shows schematically the locations of the 14 C emission sources and the wood core sample taking point, as well as the wind rose with prevailing westerly and south-westerly winds.
The loads for identifying the 14 С content were formed by taking the wood core samples of the diameter 5 mm (Fig. 2), using an increment borer, at a height of about 130 cm from the soil surface. The cores collected were then separated into growth rings. The rings of one age from 10 specimens were combined as one sample for the respective year. There were 15 different samples chosen for the analysis.
Data on the 14 C activity in the growth rings of a 113-yearold pine tree in Akademgorodok, the city of Novosibirsk, was used as the background values. This is explained by two factors: first, Zarechny and Novosibirsk are situated approximately in the same latitude (55°02′ and 56°48′ northern latitude) and, second, Nobosibirsk is rather far from nuclear facilities both in operation and out of service, that is, has not been affected by anthropogenic radiocarbon sources, excluding nuclear weapon tests. In 2009, the specific activity of 14 C in land ecosystems in the northern hemisphere was 238 Bq/kg of С, which is close to the values prior to atmospheric nuclear tests (227 Bq/kg of C) (Carbon-14 2010).
Cellulose was chemically isolated as part of preparing the growth rings, which was further totally oxidized to form CO 2 and transformed into graphite-like carbon in a absorption-catalytic setup designed for producing AMS targets (Lysikov et al. 2018). The obtained targets were installed into an accelerator mass spectrometer and the concentration of 14 С was further measured.
The content of 14 C was analyzed as part of the study in 30 loads (two loads per year) using the accelerator mass spectrometer. Unlike other 14 C measurement techniques (Nazarov et al. 2021), a wood sample of about 20 mg is enough for the reliable AMS analysis which allows analyzing individual growth rings and even seasonal ring parts. The accelerator mass-spectrometer used was built in 2011 by the Budker Institute of Nuclear Physics of the Siberian Branch of the Russian Academy of Sciences in Novosibirsk. The operation of the device is described in detail in (Alinovsky et al. 2009).

Results and discussion
The results of measuring the concentration of 14 C in the growth rings of ten common pine trees found in the critical locality area are presented in Fig. 3.
The 14 С measurement units (Percent Modern Carbon or pMC) were adopted in the second half of the 20 th century. 100 pMC = 227 Bq/g of carbon is equivalent to the hypothetical specific activity of 14 C in the atmosphere in 1950 without human impacts (Stenstroom et al. 2011). The diagram shows a substantial growth in the concentration of 14 C in the mid-1960s, which is explained by radiocarbon entering intensively the atmosphere as a result of atmospheric nuclear weapon tests. The findings converge well with the literature data specific to the entire northern hemisphere (Levin et al. 1994). The maximum concentration of 14 С was 192.0 ± 8.5 pMC in 1964.
It can be seen in Fig. 3 that a growth was observed in the concentration of 14 C in the pine tree rings following the commissioning of the Beloyarsk NPP's units 1 and 2 with the AMB-100 and AMB-200 reactors. The concentration of radiocarbon in the atmospheric air was decre-  asing up to the year 1993 as a result of decommissioning uranium-graphite reactors. The substantial differences in the concentration of 14 C during one year (shown by an example of 1985) can be explained by 14 C entering the atmosphere in a non-uniform manner during operation of the AMB-100 and AMB-200 nuclear reactors. Failures of fuel elements were likely to be behind the increased release of 14 С into the atmospheric air.
The data obtained proves indirectly the advantages of fast-neutron nuclear reactors as compared with uraniumgraphite reactors in terms of environmental impacts from the release of 14 C they produce. The commissioning of the BN-600 fast-neutron reactor in 1980 had a minor effect on the concentration of 14 C in the atmospheric air. Unlike uranium-graphite nuclear plants, fast-neutron reactors have an order of magnitude smaller 14 С specific emission ratio (quantity of 14 C released into the atmosphere per unit of generated electricity): 1.4·10 -2 and 1.6·10 -1 GBq/GW·h respectively (Nazarov et al. 2018, IAEA-TECDOC-16382010. After the AMB-100 and AMB-200 reactors stopped to operate, the key process leading, as a result, to the entry of 14 С into the atmosphere has been the isotope handling procedure begun at the INM in 1994. Reliable differences in the values of the 14 C concentration in the pine tree growth rings (specifically in 1995) are likely to be caused by the development of the methodology to handle 14 C as the raw material for radiopharmaceuticals. The subsequent decrease in the concentration of 14 C in the growth rings is explained by the improvement and optimization of the process.

Conclusions
The paper presents the results of measuring the concentration of 14 С in the growth rings of a pine tree from the critical area in the locality in the vicinity of the BelNPP and the INM. The measurements were perform using a unique scientific facility, the Accelerator Mass-Spectrometer of the Budker Institute of Nuclear Physics of the Siberian Branch of the Russian Academy of Sciences, based in Novosibirsk. The results of the 14 C activity observations in the growth rings of a 113-year-old pine tree growing outside the area affected by operating nuclear reactors and radiocarbon handling activities was used as the target for comparison.
In the tested pine tree samples, the concentration of 14 С in the growth rings is in a range of 116.0 ± 4.4 to 192.0 ± 8.5 рМС. The growth ring age determination allowed reproducing retrospectively the change in the levels of the 14 C release effects during the period from 1964 to present time. The 14 C impacts in the locality's critical area surveyed exceeded greatly the impacts in the background area compared against (year to year).
The additional anthropogenic entry of 14 С into wood was a result of the AMB-100 and AMB-200 nuclear plant operations. Following the decommissioning of the above reactors, the key source of the 14 C entry into the atmosphere was the INM's isotope handling activities and operation of the IVV-2M nuclear reactor. Operation of the BN-600 reactor does not contribute much to the concentration of 14 C in wood. The accelerator mass spectrometry technique used to measure the 14 C concentration as part of the study is the most sensitive one among the currently available radiocarbon measurement techniques. Being used to address the nuclear industry objectives, this method will make it possible to obtain new precision data on the content of 14 С in components of the environment for estimating, retrospectively, the radiation impacts from nuclear facilities.