Q values of radioactive decay: Examples from nuclear physics and related fields

2013 ◽  
Vol 349-350 ◽  
pp. 47-56 ◽  
Author(s):  
Ernst Roeckl ◽  
Ivan Mukha
2020 ◽  
Vol 9 (1) ◽  
pp. 9
Author(s):  
Emad A. Kuffi ◽  
Ali Hassan Mohammed Mohammed ◽  
Ameer Qassim Majde ◽  
Elaf Sabah Abbas

Al-Zughair transform is a novel transformation that is proposed in (2017), and due to its novelty it has not been applied to engineering fields, however Al-Zughair transform is capable to solve differential equations, for that reason it can be applied into engineering applications that include differential equations. In nuclear physics the radioactive decay of the atoms is well study subject, where there are many methods that are used to deal with it, however Al-Zughair transform has never been used before in that field, in this paper the differential equation of radioactive decay has been solved using Al-Zughair transform.  


2021 ◽  
Author(s):  
Shawn Eastmond

The radioactive decay law was first formulated by Ernest Rutherford and Frederick Soddy in 1902. As a well-known law, one of its primary applications is to determine the dates of ancient specimens. The process is known as radiocarbon dating and is subjected to the known properties of radioactive nuclei. In this paper, we implement quantum calculus to express the solution of the radioactive decay equation in symmetrized q-exponential form. Also, we explore a q-analog of the decay constant using Tsallis logarithmic function for various miscellaneous q-values. Furthermore, the factor-label method was applied to our analysis to show that the correct units remained intact under the application of quantum calculus. In conclusion, our work suggests that a variation of the q-parameter was akin to the production of a new isotope for all q in (0,1); the superadditive regime.


Author(s):  
William L. Graf

The plutonium in the Northern Rio Grande is entirely artificial. Small amounts of plutonium may have formed in exceptionally rich uranium deposits in south-central Africa, but for practical purposes, until its manufacture in 1939, the element did not occur in the earth’s environment. Although the detailed story of the origins of plutonium are beyond the scope of this book, a summary of that history does clarify the issues regarding plutonium in the Northern Rio Grande in the late twentieth century. The purposes of this chapter are to review the origins of plutonium and to examine briefly the nature of that element. Modern nuclear physics, which ultimately led to the production of plutonium, began with the publication of the discovery of X-rays by Wilhelm Conrad Röntgen in 1896. His work showed that the physical world was much more complicated than previously thought and that energy could be emitted from substances. In the same year, Henri Becquerel of Paris showed that uranium emitted radiation, and soon thereafter Marie and Pierre Curie coined the term radioactivity to describe the emissions they recorded from two newly discovered elements, radium (named after its radiative properties) and polonium (named after Marie Curie’s home country of Poland). Between 1898 and 1902, Ernest Rutherford of Cambridge University and, later, McGill University explored processes of radioactive decay that generated free electrons (beta radiation) and bursts of energy (gamma radiation) and discovered that some elements changed their basic properties during the emission. Rutherford termed these changes transmutation and laid the philosophical foundations for understanding atomic structure. The transmutation of elements was a significant addition to the rapidly expanding knowledge about the number and types of elements in the natural world. Between 1894 and 1900, William Ramsey enlarged the periodic table with an entire family of inert gases, and by 1903 more than a dozen radioactive elements were known. By 1903, it was obvious that the decay process explained many observed elemental changes: Americans Bertram B. Boltwood and Herbert N. McCoy showed that radium descended from uranium, and Otto Hahn connected several types of thorium.


2011 ◽  
Vol 26 (2) ◽  
pp. 164-170 ◽  
Author(s):  
Cemal Dolicanin ◽  
Koviljka StankoviC ◽  
Diana Dolicanin ◽  
Boris Loncar

Since the exact time a specific nucleus undergoes radioactive decay cannot be specified, nor can showers caused by secondary cosmic rays be predicted, statistical laws play an important role in almost all cases of experimental nuclear physics. This paper describes the method for the statistical treatment of nuclear counting results obtained experimentally by taking into account random variables pertaining to both frequent and infrequent phenomena. When processing counting measurement data, it is recommended to first discard spurious random variables that spoil the statistics by using Chauvenet?s criterion, as well as to test if the results in the statistical sample follow a unique statistical distribution by using the Wilcoxon rank-sum test (U-test). The verification of the suggested statistical method was performed on counting statistics obtained both from the radioactive source Cs-137 and background radiation, expected to follow the normal distribution and the Poisson distribution, respectively. Results show that the application of the proposed statistical method excludes random fluctuations of the radioactive source or of the background radiation from the total statistical sample, as well as possible inadequacies in the experimental set-up and show an extremely effective agreement of the theoretical distribution of random variables with the corresponding experimentally obtained random variables.


Author(s):  
Arav Sri Agarwal

Abstract: This research paper examines the applications of mathematics and physics in medicine. Mathematical equations governing the physics behind nuclear medicine are deconstructed; the equations include the radioactive decay equation, nuclide uptake formula, formula for the total electric field, quaternions and their role in the geometry of CT and x-ray scans, the use of complex numbers and quaternions in CAT scans, and the utilization of partial differential equations in image processing. On the other hand, physics supports medicines in different areas, including medical imaging through popular MRI and ultrasound techniques. It contributes to therapy through radiation, ultrasonic technologies, laser physics, and vibrational medicine. Nuclear medicine relies on radioactive tracers, while non-ionizing radiation technologies support laser surgery; ultrasound imaging, and UV light treatments are used for diagnosing and treating chronic illnesses. Radiation oncology medical physicists apply medical physics for the assessment and monitoring of the safety of staff and patients involved in radiation therapy, with electromagnetism offering support in neural engineering, signal analysis, quantum electronics, and in studying the nervous system


1976 ◽  
Vol 32 ◽  
pp. 169-182
Author(s):  
B. Kuchowicz

SummaryIsotopic shifts in the lines of the heavy elements in Ap stars, and the characteristic abundance pattern of these elements point to the fact that we are observing mainly the products of rapid neutron capture. The peculiar A stars may be treated as the show windows for the products of a recent r-process in their neighbourhood. This process can be located either in Supernovae exploding in a binary system in which the present Ap stars were secondaries, or in Supernovae exploding in young clusters. Secondary processes, e.g. spontaneous fission or nuclear reactions with highly abundant fission products, may occur further with the r-processed material in the surface of the Ap stars. The role of these stars to the theory of nucleosynthesis and to nuclear physics is emphasized.


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