Abstract
In Chapter 10 we considered the general equations and its solutions determining the space-time variations of cosmogenic nuclides production by CR and its contents in the space, inside astrophysical bodies, in atmospheres of stars and planets by the coupling function method which were developed before for CR variations research. Here we introduce and calculate the local and polar radiocarbon coupling functions for the Earth’s atmosphere, taking into account vertical mixing of elements. We then introduce and calculate the planetary coupling function, taking into account the planetary element mixing and influence of geomagnetic field on CR planetary distribution. For the contents of radiocarbon in the atmosphere and in dated samples there are very important exchange processes between several reservoirs on the Earth. As a first approximation we consider two-reservoir model and then the model of five-reservoir element exchange. By comparison with experimental data on radiocarbon contents we estimate the exchange constants. On the basis of methods developed and solutions of equations obtained we determine the time evolution of the radiocarbon production rate and contents in the Earth’s atmosphere. We consider data of H-bomb explosions in the atmosphere, on CR time variations in the past, caused by changes of geomagnetic field, by solar activity cycles, and by possible local supernova explosions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Anderson E.C. “The production and distribution of natural radiocarbon”, Ann. Rev. Nuclear Sci., 2. 63–78 (1953).
Anderson E.C. and W.F. Libby “World-wide distribution of natural radiocarbon”, Phys. Rev, 81, 64–69 (1951).
Aoki T., H. Sakurai, and W. Kato “Altitude distribution of C-14 concentration by Geant-4”, Proc. 28th Intern. Cosmic Ray Conf., Tsukuba, 7, 4151–4154 (2003).
Attolini M.R., S. Cecchini, M. Galli, and T. Nanni “The Gleissberg and 130 year periodicity in the cosmogenic isotopes in the past: the Sun as a quasi-periodic system”, Proc. 20th Intern. Cosmic Ray Conf., Moscow, 4, 323–326 (1987a).
Attolini M.R., S. Cecchini, C. Cini Castagnoli, M. Galli, and T. Nanni “The 11 year cycles in solar activity before Maunder minimum”, Proc. 20th Intern. Cosmic Ray Conf., Moscow, 4, 324–327 (1987b).
Attolini M.R., S. Cecchini, H. Galli, T. Nanni “Solar variations in radiocarbon”, Proc. 21 th Intern. Cosmic Ray Conf., Adelaide, 7, 132–135 (1990).
Bonani G., H.J. Hofmann, E. Morenzoni, M. Nessi, M. Suter, and W. Wolfli, “The ETH/SIN Dating Facility: A Status-Report”, Radiocarbon, 28, No. 2A, 246–255 (1986).
Burlatskaya S.P. “Pecular features of geomagnetic field variations on archeomagnetic data”, Physics of the Earth (in Russian), No. 5, 81–86 (1987).
Cini Castagnoli G., G. Bonino, A. Provenzale, and M. Serio “Long-term solar cycles in the TL profile of the GT14 core and in tree ring radiocarbon data”, Proc. 21 th Intern. Cosmic Ray Conf., Adelaide, 7, 152–154 (1990).
Cini Castagnoli G., G. Bonino, E. Callegari, C. Taricco, and Zhu Guang-mey “Thermoluminescence in sea sediments during the cosmogenic isotopes enhancement 35000 yr BP”, Proc. 23th Intern. Cosmic Ray Conf., Calgary, 3, 834–837, (1993).
Cini Castagnoli G., G. Bonino, B. Lehman, and C. Taricco “Cosmogenic isotopes, geomagnetic and geochemical signals in a Mediterranean sea sediment at 35000 yr BP”, Proc. 24th Intern. Cosmic Ray Conf., Rome, 4, 1204–1207, (1995).
Cini Castagnoli G., G. Bonino, P. Della Monica, and C. Taricco “Common long term periodicities in cosmogenic and climatic records over the last 3000 years”, Proc. 25th INTERN. COSMIC RAY Conf., Durban, 2, 469–472 (1997).
Craig H. “Isotopic standards for carbon and oxygen and correction factors for mass-spectrometric analysis of carbon dioxide”, Geochim. Cosmochim. Acta, 12, 133–149 (1957).
Craig H.D “The natural distribution of radiocarbon and the exchange time of carbon dioxide between atmosphere and sea”, Tellus, 9, 1–17 (1957).
Damon P.E., J.C. Lerman, and A. Long “Temporal Fluctuations of Atmospheric 14C: Causal Factors and Implications”, Ann. Rev. Earth Planet. Sci., 6, 457–494 (1978).
Dergachev V.A. “Variation of cosmogenic radiocarbon concentration and character of geomagnetic field changes in the past”, Proc. 20th Intern. Cosmic Ray Conf, Moscow, 4, 292–295 (1987).
Dergachev V.A. “Cosmogenic radiocarbon, climate and powerful manifestation of solar activity in the past”, Proc. 23th Intern. Cosmic Ray Conf., Calgary, 3, 857–860 (1993).
Dergachev V.A.“Medium- and long-term cyclic variations of cosmic rays in the past”, Proc. 24th Intern. Cosmic Ray Conf., Rome, 4, 1200–1203 (1995a).
Dergachev V.A. “Large-scale cyclic variations of cosmogenic radiocarbon concentration”, Izvestia Russian Ac. of Sci., Ser. Phys., 59, No. 4, 91–96 (1995b)
Dergachev V.A. and S.Kh. Akhmetkereev “On the nature of supersecular variations of radiocarbon in the Earth ’s atmosphere”, Proc. 21st Intern. Cosmic Ray Conf., Adelaide, 7, 128–131 (1990).
Dergachev V.A. and V.F. Chistjakov “210 and 2400 year solar cycles and fluctuations of the climate”, In Solar Cycle, Ioffe Phys.-Techn. Inst., St.Petersburg, 112–130 (1993).
Dergachev V.A. and V.F. Chistjakov “210 and 2400 year solar cycles and fluctuations of the climate”, In Solar Cycle, St.Petersburg, Ioffe Phys.-Techn. Inst., 112–130 (1993).
Dergachev V.A., G.E. Kocharov, and N. Tuichiev “Investigation of variations of Earth ’s magnetic field intensity by means of radiocarbon data”, Proc. 15th Intern. Cosmic Ray Conf., Plovdiv, 4, 353–357 (1977).
Dorman L.I. “Geophysical effects and properties of the various components of the cosmic radiation in the atmosphere (Rapporteur Talk)”, Proc. 11th Intern. Cosmic Ray Conf., Budapest, Volume of Invited Papers and Rapporteur Talks, 381–444 (1969).
Dorman L.I. “Cosmic ray variations and radiocarbon method”, In the book Radiocarbon, Vilnus, 13–21 (1971).
Dorman L.I. “On the possibility of various type cosmic ray variations investigation by data on relative content of 14C in the annual tree cycles”, In the book Dendroclimatechronology and Radiocarbon, Kaunas, 312–316 (1972).
Dorman L.I. “Radiocarbon coupling coefficients and the functions of cosmic ray “response” in 14C, 1. The local and polar coupling coefficients in the Earth ’s atmosphere”, Proc. 15th Intern. Cosmic Ray Conf., Plovdiv, 4, 369–373 (1977a).
Dorman L.I. “Radiocarbon coupling coefficients and the functions of cosmic ray “response” in 14C, II. The atmospheric mixing and the planetary coupling coefficients, the magnetic and barometric coefficients”, Proc. 15th Intern. Cosmic Ray Conf., Plovdiv, 4, 374–377 (1977b).
Dorman L.I. “Radiocarbon coupling coefficients and the functions of cosmic ray “response” in 14C, III. The functions of the “response” in the planetary rate of radiocarbon production including the mixing in the atmosphere”, Proc. 15th Intern. Cosmic Ray Conf., Plovdiv, 4, 378–382 (1977c).
Dorman L.I. “Radiocarbon coupling coefficients and the functions of cosmic ray “response” in 14C, IV. The two-basin model of radiocarbon exchange on the Earth, estimation of the basis constants”, Proc. 15th Intern. Cosmic Ray Conf., Plovdiv, 4, 383–386 (1977d).
Dorman L.I. “Radiocarbon coupling coefficients and the functions of cosmic ray “response” in 14C, V. The two-basin model and the functions of the “response” in 14C”, Proc. 15th Intern. Cosmic Ray Conf., Plovdiv, 4, 387–391 (1977e).
Dorman L.I. “Five-basin model of the radiocarbon dynamics on the Earth including the temporal variations in the rate of production by cosmic rays. I. Set on equations, stationary case, estimates of the basic constants”, Proc. 15th Intern. Cosmic Ray Conf., Plovdiv, 4, 395–399 (19771).
Dorman L.I. “Five-basin model of the radiocarbon dynamics on the Earth including the temporal variations in the rate of production by cosmic rays. II. Nonstationary solution”, Proc. 15th Intern. Cosmic Ray Conf., Plovdiv, 4, 400–404 (1977g).
Dorman L.I. “Peculiarities of cosmic ray research by radio-carbon method”, Proc. 6th All-Union Meeting on the Problem “Astrophysics Phenomena and Radio-Carbon” (Tbilisi, 1976), Tbilisi, METSNIEREBA, 49–96 (1978).
Dorman L.I. “Methods of cosmic ray variation research by difference ionospheric and radio-carbonic coupling coefficients”, Izvestia Academy of Sciences USSR, Series Phys., 42, No. 5, 1092–1097 (1978).
Dorman Lev I. “Cosmic rays and cosmogenic nuclides, 1. In space, inside bodies, and in atmospheres”, In Towards the Millennium in Astrophysics, ed. M.M. Shapiro, R. Silberberg and J.P. Wefel, World Sci. Publ. Co., Singapore, New Jersey, London, Hong Kong, 303–322 (1998a).
Dorman Lev I. “Cosmic rays and cosmogenic nuclides, 2. Radiocarbon method and elements global mixing and exchange on the Earth”, In Towards the Millennium in Astrophysics, M.M. Shapiro, R. Silberberg and J.P. Wefel, World Sci. Publ. Co., Singapore, New Jersey, London. Hone Kong, 323–352 (1998b)
Eddy J.A. “The Maunder Minimum”. Science, 192, 1189–1202 (1976)
Fields D. “Deep-ocean iron-60 as a possible signature of a nearby supernova”, Proc. 27th Intern. Cosmic Ray Conf., Hamburg, 10, 4212–4212 (2001).
Galli M., G. Cini Castagnoli, M.R. Attolini, et al. “400 year radiocarbon record: 11 year and more longer cycles”, Proc. 20th Intern. Cosmic Ray Conf., Moscow, 4, 280–283 (1987a).
Galli M., G. Cini Castagnoli, M.R. Attolini, et al. “The 20 year cycle of solar activity in C14 and Bel() (before and during Maunder minimum)”, Proc. 20th Intern. Cosmic Ray Conf., Moscow. 4. 284–287 (1987h).
Kato M., Kh.A. Arslanov, H. Kitagawa et al. “Radiocarbon abundances in tree rings from the Spoerer minimum”, Proc. 27 th Intern. Cosmic Ray Conf., 10, 4035–4038 (2001).
Kitagawa H., T. Masuzawa, T. Makamura and E. Matsumoto “A batch preparation method for graphite targets with low background for AMS C-14 measurements”, Radiocarbon, 35, No. 2, 295–300 (1993).
Kocharov G.E., R.Y. Metskvarishvili, and S.L. Tsereteli “High precise measurements of cosmogenic radiocarbon abundance by complex of scintillation equipments”, Proc. 19th Intern. Cosmic Ray Conf., La Jolla, 5, 410–413 (1985).
Kocharov G.E., A.V. Blinov, A.N. Konstantinov, and V.A. Levchenko “Cosmogenic isotopes and geomagnetic field in the past”, Proc. 21st Intern. Cosmic Ray Conf., Adelaide, 7, 116–119 (1990a).
Kocharov G.E., A.N. Konstantinov, and V.A. Levchenko “Cosmogenic 1 0Be: cosmic ray over the last 150,000 years”, Proc. 21st Intern. Cosmic Ray Conf., Adelaide, 7, 120–123 (1990b).
Kocharov G.E, A.N. Konstantinov, V.A. Levchenko, E.G. Berezhko, and G.F. Krymsky “Cosmic rays near the Earth from the supernova explosion”, Proc. 22nd Intern. Cosmic Ray Conf., Dublin, 2, 388–391 (1991).
Kocharov G.E., V.M. Ostryakov, A.N. Peristykh, and V.A. Vasil’ev “Radiocarbon content variations and Maunder minimum of solar activity”, Solar Physics, 159, 381–391 (1995).
Kolesnikov N.V., I.A. Gorshkov, and Yu.F. Biryulin “Shift of the radiocarbon concentration maximum in annual rings of trees accompanying the jamp-like increase of radiocarbon content in the stratosphere”, Proc. All-Union Meeting on Astrophysical Events and Radiocarbon, Tbilisi, 27–29 (1970).
Kouts H.J. and L.C.L. Yuan “The production rate of cosmic-ray neutrons and C14”, Phys. Rev., 86, 128–129 (1952).
Landenburg R. “The absorption rate of cosmic-ray neutrons producing C14 in the atmosphere”, Phys. Rev., 86, 128–128 (1952).
Libby W.F. “Atmospheric helium three and radiocarbon from cosmic radiation”, Phys. Rev., 69, 671–672, (1946).
Lingenfelter R.E. “Production of carbon 14 by cosmic ray neutrons”, Rev. of Geophysics, 1, No. 1, 35–55, (1963).
Matsumoto M., H. Sakurai, Y. Sawaki, et al. “Measurements of time variation of cosmogenic C-14 from 2500-year-old tree rims”, Proc. 27th Intern. Cosmic Ray Conf., Hamburg, 10, 4133–4136 (2001).
McElhinny M.W. and W.E. Senanayake “Variations in the geomagnetic dipole. I. The past 50000 years”, J. Geomagn. and Geoelectr., 34, 39–51 (1982).
Masuda K., H. Furuzawa, H. Miyahara et al. “Radiocarbon Content in Japanese Cedar during the Maunder Minimum”, Proc. 28th Intern. Cosmic Ray Conf., Tsukuba, 7, 4143–4146 (2003).
Miyahara H., K. Masuda, H. Furuzawal et al. “Variation of the Radiocarbon Content of Tree Rings during the Spoerer Minimum”, Proc. 28th Intern. Cosmic Ray Conf., Tsukuba, 7, 4139–4142 (2003).
Montgomery C.G. and D.D. Montgomery “The intensity of neutrons of thermal energy in the atmosphere at sea level”, Phys. Rev., 56, 10–12 (1939).
Muraki Y., G. Kocharov, T. Nishiyama, et al. “The new Nagoya radiocarbon laboratory”, Radiocarbon, 40, 177–182 (1998).
Nishimura J., M. Fujii, and T. Taira “Electron spectrum at the high energy side”, Proc. 16th Intern. Cosmic Ray Conf., Kyoto, 1, 488–493 (1979).
Peristykh A.N. and P.E. Damon “Modulation of atmospheric C-14 concentration by the solar wind and irradiance components of the Hale and Schwabe solar cycles”, Solar Physics, 177, No. 1–2, 343–355 (1998).
Pfotzer G. “Calculation of the equilibrium amount of beta-active carbon in the atmosphere from data on cosmic neutrons”, Z. Naturforsch., 7a, 145–149 (1952).
Sakurai H., K. Endo, A. Suzuki, et al. “High accurate C-14 measurement of an old tree rings in the past 2500 years”, Proc. 26th Intern. Cosmic Ray Conf., Salt-Lake City, 7, 421–424 (1999)
Sakurai H., W. Kato, T. Gandou et al. “Measurements of C-14 concentration for 22 single-year tree rings of an old cedar ca. 2500 years ago”, Proc. 28th Intern. Cosmic Ray Conf., Tsukuba, 7, 4135–4138 (2003).
Sonett C.P. and L.A. Smith “Cosmic ray anomaly and lunar Saros cycle”, Proc. 26th Intern. Cosmic Ray Conf. . Salt Leik City, 7, 448–451 (1999).
Stuiver M. and B. Becker “High-precision decadal calibration of the radiocarbon time scale, AD 1950-6000 BC” Radiocarbon, 35, No. 1, 35–65 (1993).
Stuiver M. and T.F. Braziunas. Braziunas “The solar component of the atmospheric 14C record”, In Secular, Solar and Geomagnetic Variations in the Last 10,000 Years (ed. F.R. Stephenson and A.W. Wolfendale), Dordrecht, Kluwer Ac. Press, 245–266 (1988).
Stuiver M. and T.F. Braziunas “Atmospheric C-14 and century-scale solar oscillations”, Nature, 338, 405–408 (1989).
Stuiver M. and T.F. Braziunas “Sun, ocean climate and atmospheric 14CO2: an evaluation of causal relationships”, The Holocene, 3, 289–305 (1993).
Stuiver M. and P.J. Reimer “Extended C-14 data-base and revised Calib 3.0 C-14 AGE calibration program”, Radiocarbon, 35, No. 1, 215–230 (1993).
Stuiver M., G.W. Pearson, and T. Braziunas “Radiocarbon age calibration of marine samples back to 9000 Cal Yr BP”, Radiocarbon, 28, 980–1021 (1986).
Stuiver M., P.J. Reimer, and T.F. Braziunas “High-precession radiocarbon age calibration for terrestrial and marine samples”, Radiocarbon, 40, 1127–1151 (1998).
Suess H.E. “Secular Variations of the Cosmic-Ray-Produced Carbon 14 in the Atmosphere and Their Interpretation”, J. Geophys. Res., 70, No. 23, 5937–5952 (1965).
Suess H.E. “The radiocarbon record in tree rings of the last 8000 years” Radiocarbon, 22, 200–209 (1980).
Van der Plicht J., H.A.J. Meijer, B. van Geel, and H. Renssen. Renssen “PE-02: Climate Change”, Scientific Report 1995–1997, Netherlands, 1998.
Wilkom H. and H. Erlenkenser “University of Kiel radiocarbon measurements, III” Radiocarbon, 10, No. 2, 328–332 (1968).
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer Science+Business Media New York
About this chapter
Cite this chapter
Dorman, L.I. (2004). Applications of the Radiocarbon Coupling Function Method to Investigations of Planetary Mixing and Exchange Processes; Influence of H-Bomb Explosions on the Environment; Cosmic Ray Variations in the Past. In: Cosmic Rays in the Earth’s Atmosphere and Underground. Astrophysics and Space Science Library, vol 303. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-2113-8_17
Download citation
DOI: https://doi.org/10.1007/978-1-4020-2113-8_17
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-015-6987-3
Online ISBN: 978-1-4020-2113-8
eBook Packages: Springer Book Archive