Mathematical calculation of (_6^14)C radioactivity lifetime in archeology
محورهای موضوعی : journal of Artificial Intelligence in Electrical Engineering
امیر هاشم پور مافی
1
,
Mohammad hoseim salmani yenghejeh
2
1 - دانشگاه آزاداسلامی واحدچالوس
2 - Department of Mathematics, Chalous Branch, Islamic Azad University, Chalous, Iran
کلید واژه: (_6^14)C dating, radiocarbon, mathematics in archaeology, radioactivity equations, radioisotope,
چکیده مقاله :
The radiocarbon dating method of (_6^14)C is one of the newest methods in archeology. Knowing and applying this method is possible by using the methods of natural sciences in general and mathematical sciences in particular. The use of radiocarbon dating method has been expanded in recent years in Iran in archaeological excavations and often, citing this method, findings and works related to them are dated absolutely (Mofidi Nasrabadi, 2018: 23-41). Therefore, this study has been done by describing and determining the radioactive equations used in calculating the age of (_6^14)C. (_6^14)C is one of the isotopes of carbon, a radioactive substance and the result of interactions with (_6^14)N. Living organisms absorb some (_6^14)C in their food cycle, and when they die, the absorption of radioisotopes stops, and the absorbed (_6^14)C gradually decreases according to the half-life of radioactive carbon with the physical characteristic, i.e., the rate of transformation (the numerical interpretation of the derivative). This physical law is expressed in the form of a mathematical equations, and two basic and dynamic mathematical tools are used, i.e. differential and integral, and With the help of (_6^14)C properties, the activity equation (exponential function) is obtained, which is used in the calculation of (_6^14)C dating.
The radiocarbon dating method of (_6^14)C is one of the newest methods in archeology. Knowing and applying this method is possible by using the methods of natural sciences in general and mathematical sciences in particular. The use of radiocarbon dating method has been expanded in recent years in Iran in archaeological excavations and often, citing this method, findings and works related to them are dated absolutely (Mofidi Nasrabadi, 2018: 23-41). Therefore, this study has been done by describing and determining the radioactive equations used in calculating the age of (_6^14)C. (_6^14)C is one of the isotopes of carbon, a radioactive substance and the result of interactions with (_6^14)N. Living organisms absorb some (_6^14)C in their food cycle, and when they die, the absorption of radioisotopes stops, and the absorbed (_6^14)C gradually decreases according to the half-life of radioactive carbon with the physical characteristic, i.e., the rate of transformation (the numerical interpretation of the derivative). This physical law is expressed in the form of a mathematical equations, and two basic and dynamic mathematical tools are used, i.e. differential and integral, and With the help of (_6^14)C properties, the activity equation (exponential function) is obtained, which is used in the calculation of (_6^14)C dating.
1. Adams, Robert A. difrensial and antegral. Translated by Seyyed Hossein Orei. Mashhad: Ferdowsi University of Mashhad. 1382. 89-80 and 118-113.
2. Amirlou, Enayat Elah. Dating Iran's ancient sites by carbon method 14 Journal of Archeology and History. Second year, first issue. 55-51.
3. Amirlou, Enayat Elah. Application of mathematics in archaeological research. Journal of Archeology and History. Seventh year, first and second issue: 89-88.
4. Bahrul Uloomi Shapour Abadi, Frank. Yearning methods in archaeology. Tehran: Side. 2014. 50-77
5. Bietak, M. 2013. Antagonisms in Historical and Radiocarbon Chronology. in A. J. Shortland; C. B. Ramsey (eds.), Radiocarbon and the Chronologies of Ancient Egypt. Oxford and Oakville. 76-109
6. Mofidi-Nasrabadi, B. 2003-04. Archäologische Untersuchungen in Haft Tappeh (Iran). AMIT 35-36, 225–239
7. _______. 2015. Ergebnisse der C14 Datierung der Proben aus Haft Tappeh. Elamica 5, 7–36.
8. Reimer, P. J. et al. 2013. IntCal 13 and Marine 13 Radiocarbon Age Calibration Curves 0-50,000 Years cal BP, Radiocarbon,
55 (4), 1869-1887.
9. Taylor, R. E; W. C. Beaumont; J. Southon; D. Stronach; D. Pickworth.2010. Alternative Explanations for Anomalous 14C Ages on Human Skeletons Associated with the 612 BCE Destruction of Nineveh. Radiocarbon 52, 372-382.
10. Zerbst, U; P. G. van der Veen. 2015. Does Radiocarbon Provide the Answer?. in P. James; P. G. van der Veen (eds.), Solomon and Shishak: Current Perspectives from Archaeology, Epigraphy, History and Chronology, Proceeding of the Third BICANE Colloquium held at Sidney Sussex College, Cambridge 26-27 March, 2011. Oxford: BAR International Series 2732, 199-
224.
