Lecture 2: Radioactive Decay
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Implications for the Solar Protoplanetary Disk from Short-Lived Radionuclides
From Dust to Planetesimals: Implications for the Solar Protoplanetary Disk from Short-lived Radionuclides M. Wadhwa The Field Museum Y. Amelin Geological Survey of Canada A. M. Davis The University of Chicago G. W. Lugmair University of California at San Diego B. Meyer Clemson University M. Gounelle Muséum National d’Histoire Naturelle S. J. Desch Arizona State University ________________________________________________________________ Since the publication of the Protostars and Planets IV volume in 2000, there have been signifi- cant advances in our understanding of the potential sources and distributions of short-lived, now ex- tinct, radionuclides in the early Solar System. Based on recent data, there is definitive evidence for the presence of two new short-lived radionuclides (10Be and 36Cl) and a compelling case can be made for revising the estimates of the initial Solar System abundances of several others (e.g., 26Al, 60Fe and 182Hf). The presence of 10Be, which is produced only by spallation reactions, is either the result of irradiation within the solar nebula (a process that possibly also resulted in the production of some of the other short-lived radionuclides) or of trapping of Galactic Cosmic Rays in the protosolar mo- lecular cloud. On the other hand, the latest estimates for the initial Solar System abundance of 60Fe, which is produced only by stellar nucleosynthesis, indicate that this short-lived radionuclide (and possibly significant proportions of others with mean lives ≤10 My) was injected into the solar nebula from a nearby stellar source. As such, at least two distinct sources (e.g., irradiation and stellar nu- cleosynthesis) are required to account for the abundances of the short-lived radionuclides estimated to be present in the early Solar System. -
Compilation and Evaluation of Fission Yield Nuclear Data Iaea, Vienna, 2000 Iaea-Tecdoc-1168 Issn 1011–4289
IAEA-TECDOC-1168 Compilation and evaluation of fission yield nuclear data Final report of a co-ordinated research project 1991–1996 December 2000 The originating Section of this publication in the IAEA was: Nuclear Data Section International Atomic Energy Agency Wagramer Strasse 5 P.O. Box 100 A-1400 Vienna, Austria COMPILATION AND EVALUATION OF FISSION YIELD NUCLEAR DATA IAEA, VIENNA, 2000 IAEA-TECDOC-1168 ISSN 1011–4289 © IAEA, 2000 Printed by the IAEA in Austria December 2000 FOREWORD Fission product yields are required at several stages of the nuclear fuel cycle and are therefore included in all large international data files for reactor calculations and related applications. Such files are maintained and disseminated by the Nuclear Data Section of the IAEA as a member of an international data centres network. Users of these data are from the fields of reactor design and operation, waste management and nuclear materials safeguards, all of which are essential parts of the IAEA programme. In the 1980s, the number of measured fission yields increased so drastically that the manpower available for evaluating them to meet specific user needs was insufficient. To cope with this task, it was concluded in several meetings on fission product nuclear data, some of them convened by the IAEA, that international co-operation was required, and an IAEA co-ordinated research project (CRP) was recommended. This recommendation was endorsed by the International Nuclear Data Committee, an advisory body for the nuclear data programme of the IAEA. As a consequence, the CRP on the Compilation and Evaluation of Fission Yield Nuclear Data was initiated in 1991, after its scope, objectives and tasks had been defined by a preparatory meeting. -
Radioactive Decay
North Berwick High School Department of Physics Higher Physics Unit 2 Particles and Waves Section 3 Fission and Fusion Section 3 Fission and Fusion Note Making Make a dictionary with the meanings of any new words. Einstein and nuclear energy 1. Write down Einstein’s famous equation along with units. 2. Explain the importance of this equation and its relevance to nuclear power. A basic model of the atom 1. Copy the components of the atom diagram and state the meanings of A and Z. 2. Copy the table on page 5 and state the difference between elements and isotopes. Radioactive decay 1. Explain what is meant by radioactive decay and copy the summary table for the three types of nuclear radiation. 2. Describe an alpha particle, including the reason for its short range and copy the panel showing Plutonium decay. 3. Describe a beta particle, including its range and copy the panel showing Tritium decay. 4. Describe a gamma ray, including its range. Fission: spontaneous decay and nuclear bombardment 1. Describe the differences between the two methods of decay and copy the equation on page 10. Nuclear fission and E = mc2 1. Explain what is meant by the terms ‘mass difference’ and ‘chain reaction’. 2. Copy the example showing the energy released during a fission reaction. 3. Briefly describe controlled fission in a nuclear reactor. Nuclear fusion: energy of the future? 1. Explain why nuclear fusion might be a preferred source of energy in the future. 2. Describe some of the difficulties associated with maintaining a controlled fusion reaction. -
A Perspective from Extinct Radionuclides on a Young Stellar Object: the Sun and Its Accretion Disk
Annu. Rev. Earth Planet. Sci. 2011. 39: 351-386 doi:10.1146/annurev-earth-040610-133428 Copyright © 2011 by Annual Reviews. All rights reserved UNCORRECTED PREPRINT A PERSPECTIVE FROM EXTINCT RADIONUCLIDES ON A YOUNG STELLAR OBJECT: THE SUN AND ITS ACCRETION DISK Nicolas Dauphas,1 Marc Chaussidon2 1Origins Laboratory, Department of the Geophysical Sciences and Enrico Fermi Institute, Chicago, Illinois 60637; email: [email protected] 2Centre de Recherches Pétrographiques et Géochimiques (CRPG)-Nancy Université-CNRS, UPR 2300, 54501 Vandoeuvre-lès-Nancy, France ■ Abstract Meteorites, which are remnants of solar system formation, provide a direct glimpse into the dynamics and evolution of a young stellar object (YSO), namely our Sun. Much of our knowledge about the astrophysical context of the birth of the Sun, the chronology of planetary growth from micrometer-sized dust to terrestrial planets, and the activity of the young Sun comes from the study of extinct 26 radionuclides such as Al (t1/2 = 0.717 Myr). Here we review how the signatures of extinct radionuclides (short-lived isotopes that were present when the solar system formed and that have now decayed below detection level) in planetary materials influence the current paradigm of solar system formation. Particular attention is given to tying meteorite measurements to remote astronomical observations of YSOs and modeling efforts. Some extinct radionuclides were inherited from the long-term chemical evolution of the Galaxy, others were injected into the solar system by a nearby supernova, and some were produced by particle irradiation from the T-Tauri Sun. The chronology inferred from extinct radionuclides reveals that dust agglomeration to form centimeter-sized particles in the inner part of the disk was very rapid (<50 kyr), planetesimal formation started early and spanned several million years, planetary embryos (possibly like Mars) were formed in a few million years, and terrestrial planets (like Earth) completed their growths several tens of million years after the birth of the Sun. -
1 Chapter 16 Stable and Radioactive Isotopes Jim Murray 5/7/01 Univ
Chapter 16 Stable and Radioactive Isotopes Jim Murray 5/7/01 Univ. Washington Each atomic element (defined by its number of protons) comes in different flavors, depending on the number of neutrons. Most elements in the periodic table exist in more than one isotope. Some are stable and some are radioactive. Scientists have tallied more than 3600 isotopes, the majority are radioactive. The Isotopes Project at Lawrence Berkeley National Lab in California has a web site (http://ie.lbl.gov/toi.htm) that gives detailed information about all the isotopes. Stable and radioactive isotopes are the most useful class of tracers available to geochemists. In almost all cases the distributions of these isotopes have been used to study oceanographic processes controlling the distributions of the elements. Radioactive isotopes are especially useful because they provide a way to put time into geochemical models. The chemical characteristic of an element is determined by the number of protons in its nucleus. Different elements can have different numbers of neutrons and thus atomic weights (the sum of protons plus neutrons). The atomic weight is equal to the sum of protons plus neutrons. The chart of the nuclides (protons versus neutrons) for elements 1 (Hydrogen) through 12 (Magnesium) is shown in Fig. 16-1. The Valley of Stability represents nuclides stable relative to decay. Examples: Atomic Protons Neutrons % Abundance Weight (Atomic Number) Carbon 12C 6P 6N 98.89 13C 6P 7N 1.11 14C 6P 8N 10-10 Oxygen 16O 8P 8N 99.76 17O 8P 9N 0.024 18O 8P 10N 0.20 Several light elements such as H, C, N, O, and S have more than one stable isotope form, which show variable abundances in natural samples. -
Radioactive Decay & Decay Modes
CHAPTER 1 Radioactive Decay & Decay Modes Decay Series The terms ‘radioactive transmutation” and radioactive decay” are synonymous. Many radionuclides were found after the discovery of radioactivity in 1896. Their atomic mass and mass numbers were determined later, after the concept of isotopes had been established. The great variety of radionuclides present in thorium are listed in Table 1. Whereas thorium has only one isotope with a very long half-life (Th-232, uranium has two (U-238 and U-235), giving rise to one decay series for Th and two for U. To distin- guish the two decay series of U, they were named after long lived members: the uranium-radium series and the actinium series. The uranium-radium series includes the most important radium isotope (Ra-226) and the actinium series the most important actinium isotope (Ac-227). In all decay series, only α and β− decay are observed. With emission of an α particle (He- 4) the mass number decreases by 4 units, and the atomic number by 2 units (A’ = A - 4; Z’ = Z - 2). With emission β− particle the mass number does not change, but the atomic number increases by 1 unit (A’ = A; Z’ = Z + 1). By application of the displacement laws it can easily be deduced that all members of a certain decay series may differ from each other in their mass numbers only by multiples of 4 units. The mass number of Th-232 is 323, which can be written 4n (n=58). By variation of n, all possible mass numbers of the members of decay Engineering Aspects of Food Irradiation 1 Radioactive Decay series of Th-232 (thorium family) are obtained. -
Section 29-4: the Chart of the Nuclides
29-4 The Chart of the Nuclides A nuclide is an atom that is characterized by what is in its nucleus. In other words, it is characterized by the number of protons it has, and by the number of neutrons it has. Figure 29.2 shows the chart of the nuclides, which plots, for stable and radioactive nuclides, the value of Z (the atomic number), on the vertical axis, and the value of N (the number of neutrons) on the horizontal axis. If you look at a horizontal line through the chart, you will find nuclides that all have the same number of protons, but a different number of neutrons. These are all nuclides of the same element, and are known as isotopes (equal proton number, different neutron number). On a vertical line through the chart, the nuclides all have the same number of neutrons, but a different number of protons. These nuclides are known as isotones (equal neutron number, different proton number). It is interesting to think about how the various decay processes play a role in the chart of the nuclides. Only the nuclides shown in black are stable. The stable nuclides give the chart a line of stability that goes from the bottom left toward the upper right, curving down and away from the Z = N line as you move toward higher N values. There are many more nuclides that are shown on the chart but which are not stable - these nuclides decay by means of a radioactive decay process. In general, the dominant decay process for a particular nuclide is the process that produces a nucleus closer to the line of stability than where it started. -
The Delimiting/Frontier Lines of the Constituents of Matter∗
The delimiting/frontier lines of the constituents of matter∗ Diógenes Galetti1 and Salomon S. Mizrahi2 1Instituto de Física Teórica, Universidade Estadual Paulista (UNESP), São Paulo, SP, Brasily 2Departamento de Física, CCET, Universidade Federal de São Carlos, São Carlos, SP, Brasilz (Dated: October 23, 2019) Abstract Looking at the chart of nuclides displayed at the URL of the International Atomic Energy Agency (IAEA) [1] – that contains all the known nuclides, the natural and those produced artificially in labs – one verifies the existence of two, not quite regular, delimiting lines between which dwell all the nuclides constituting matter. These lines are established by the highly unstable radionuclides located the most far away from those in the central locus, the valley of stability. Here, making use of the “old” semi-empirical mass formula for stable nuclides together with the energy-time uncertainty relation of quantum mechanics, by a simple calculation we show that the obtained frontier lines, for proton and neutron excesses, present an appreciable agreement with the delimiting lines. For the sake of presenting a somewhat comprehensive panorama of the matter in our Universe and their relation with the frontier lines, we narrate, in brief, what is currently known about the astrophysical nucleogenesis processes. Keywords: chart of nuclides, nucleogenesis, nuclide mass formula, valley/line of stability, energy-time un- certainty relation, nuclide delimiting/frontier lines, drip lines arXiv:1909.07223v2 [nucl-th] 22 Oct 2019 ∗ This manuscript is based on an article that was published in Brazilian portuguese language in the journal Revista Brasileira de Ensino de Física, 2018, 41, e20180160. http://dx.doi.org/10.1590/ 1806-9126-rbef-2018-0160. -
CHAPTER 2 the Nucleus and Radioactive Decay
1 CHEMISTRY OF THE EARTH CHAPTER 2 The nucleus and radioactive decay 2.1 The atom and its nucleus An atom is characterized by the total positive charge in its nucleus and the atom’s mass. The positive charge in the nucleus is Ze , where Z is the total number of protons in the nucleus and e is the charge of one proton. The number of protons in an atom, Z, is known as the atomic number and dictates which element an atom represents. The nucleus is also made up of N number of neutrally charged particles of similar mass as the protons. These are called neutrons . The combined number of protons and neutrons, Z+N , is called the atomic mass number A. A specific nuclear species, or nuclide , is denoted by A Z Γ 2.1 where Γ represents the element’s symbol. The subscript Z is often dropped because it is redundant if the element’s symbol is also used. We will soon learn that a mole of protons and a mole of neutrons each have a mass of approximately 1 g, and therefore, the mass of a mole of Z+N should be very close to an integer 1. However, if we look at a periodic table, we will notice that an element’s atomic weight, which is the mass of one mole of its atoms, is rarely close to an integer. For example, Iridium’s atomic weight is 192.22 g/mole. The reason for this discrepancy is that an element’s neutron number N can vary. -
Introduction to Nuclear Physics and Nuclear Decay
NM Basic Sci.Intro.Nucl.Phys. 06/09/2011 Introduction to Nuclear Physics and Nuclear Decay Larry MacDonald [email protected] Nuclear Medicine Basic Science Lectures September 6, 2011 Atoms Nucleus: ~10-14 m diameter ~1017 kg/m3 Electron clouds: ~10-10 m diameter (= size of atom) water molecule: ~10-10 m diameter ~103 kg/m3 Nucleons (protons and neutrons) are ~10,000 times smaller than the atom, and ~1800 times more massive than electrons. (electron size < 10-22 m (only an upper limit can be estimated)) Nuclear and atomic units of length 10-15 = femtometer (fm) 10-10 = angstrom (Å) Molecules mostly empty space ~ one trillionth of volume occupied by mass Water Hecht, Physics, 1994 (wikipedia) [email protected] 2 [email protected] 1 NM Basic Sci.Intro.Nucl.Phys. 06/09/2011 Mass and Energy Units and Mass-Energy Equivalence Mass atomic mass unit, u (or amu): mass of 12C ≡ 12.0000 u = 19.9265 x 10-27 kg Energy Electron volt, eV ≡ kinetic energy attained by an electron accelerated through 1.0 volt 1 eV ≡ (1.6 x10-19 Coulomb)*(1.0 volt) = 1.6 x10-19 J 2 E = mc c = 3 x 108 m/s speed of light -27 2 mass of proton, mp = 1.6724x10 kg = 1.007276 u = 938.3 MeV/c -27 2 mass of neutron, mn = 1.6747x10 kg = 1.008655 u = 939.6 MeV/c -31 2 mass of electron, me = 9.108x10 kg = 0.000548 u = 0.511 MeV/c [email protected] 3 Elements Named for their number of protons X = element symbol Z (atomic number) = number of protons in nucleus N = number of neutrons in nucleus A A A A (atomic mass number) = Z + N Z X N Z X X [A is different than, but approximately equal to the atomic weight of an atom in amu] Examples; oxygen, lead A Electrically neural atom, Z X N has Z electrons in its 16 208 atomic orbit. -
Nuclear Chemistry Why? Nuclear Chemistry Is the Subdiscipline of Chemistry That Is Concerned with Changes in the Nucleus of Elements
Nuclear Chemistry Why? Nuclear chemistry is the subdiscipline of chemistry that is concerned with changes in the nucleus of elements. These changes are the source of radioactivity and nuclear power. Since radioactivity is associated with nuclear power generation, the concomitant disposal of radioactive waste, and some medical procedures, everyone should have a fundamental understanding of radioactivity and nuclear transformations in order to evaluate and discuss these issues intelligently and objectively. Learning Objectives λ Identify how the concentration of radioactive material changes with time. λ Determine nuclear binding energies and the amount of energy released in a nuclear reaction. Success Criteria λ Determine the amount of radioactive material remaining after some period of time. λ Correctly use the relationship between energy and mass to calculate nuclear binding energies and the energy released in nuclear reactions. Resources Chemistry Matter and Change pp. 804-834 Chemistry the Central Science p 831-859 Prerequisites atoms and isotopes New Concepts nuclide, nucleon, radioactivity, α− β− γ−radiation, nuclear reaction equation, daughter nucleus, electron capture, positron, fission, fusion, rate of decay, decay constant, half-life, carbon-14 dating, nuclear binding energy Radioactivity Nucleons two subatomic particles that reside in the nucleus known as protons and neutrons Isotopes Differ in number of neutrons only. They are distinguished by their mass numbers. 233 92U Is Uranium with an atomic mass of 233 and atomic number of 92. The number of neutrons is found by subtraction of the two numbers nuclide applies to a nucleus with a specified number of protons and neutrons. Nuclei that are radioactive are radionuclides and the atoms containing these nuclei are radioisotopes. -
Isotope Geochemistry
Isotope Geochemistry Chapter 5: Isotope Cosmochemistry Isotope Cosmochemistry 5.1 INTRODUCTION Meteorites are our primary source of in- formation about the early Solar System. Chemical, isotopic, and petrological fea- tures of meteorites reflect events that occurred in the first few tens of millions of years of Solar Sys- tem history. Obser- vations on meteor- ites, together with astronomical obser- vations on the birth of stars and the laws of physics, are the basis of our ideas on how the Solar Sys- tem, and the Earth, Figure 5.1. Photograph of the meteorite Allende, which fell in Mexico in 1969. formed. Circular/spherical features are chondrules. Irregular white patches are Meteorites can be CAI’s. divided into two broad groups: primitive meteorites and differentiated meteorites. The chondrites constitute the primitive group: most of their chemical, isotopic, and petrological features resulted from processes that occurred in the cloud of gas and dust that we refer to as the solar nebula. They are far more commonly observed to fall than differentiated meteorites*. All chondrites, however, have experienced at least some meta- morphism on “parent bodies”, the small planets (diameters ranging from a few km to a few hundred km) from which meteorites are derived by collisions. The differentiated meteorites, which include the achondrites, stony irons, and irons, were so extensively processed in parent bodies, by melting and brecciation, that information about nebular processes has largely been lost. On the other hand, the dif- ferentiated meteorites provide insights into the early stages of planet formation. We’ll provide only a brief overview here. More details of meteoritics (the study of meteorites) can be found in McSween and Huss (2010) and White (2013).