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Radioactive decay

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95-396: Radioactive decay (also known as nuclear decay , radioactivity , radioactive disintegration , or nuclear disintegration ) is the process by which an unstable atomic nucleus loses energy by radiation . A material containing unstable nuclei is considered radioactive . Three of the most common types of decay are alpha , beta , and gamma decay . The weak force is the mechanism that

190-401: A decay constant or as a half-life . The half-lives of radioactive atoms have a huge range: from nearly instantaneous to far longer than the age of the universe . The decaying nucleus is called the parent radionuclide (or parent radioisotope ), and the process produces at least one daughter nuclide . Except for gamma decay or internal conversion from a nuclear excited state , the decay

285-402: A deuteron [NP], and also between protons and protons, and neutrons and neutrons. The effective absolute limit of the range of the nuclear force (also known as residual strong force ) is represented by halo nuclei such as lithium-11 or boron-14 , in which dineutrons , or other collections of neutrons, orbit at distances of about 10 fm (roughly similar to the 8 fm radius of

380-467: A discharge tube allowed researchers to study the emission spectrum of the captured particles, and ultimately proved that alpha particles are helium nuclei. Other experiments showed beta radiation, resulting from decay and cathode rays , were high-speed electrons . Likewise, gamma radiation and X-rays were found to be high-energy electromagnetic radiation . The relationship between the types of decays also began to be examined: For example, gamma decay

475-491: A chemical bond. This effect can be used to separate isotopes by chemical means. The Szilard–Chalmers effect was discovered in 1934 by Leó Szilárd and Thomas A. Chalmers. They observed that after bombardment by neutrons, the breaking of a bond in liquid ethyl iodide allowed radioactive iodine to be removed. Radioactive primordial nuclides found in the Earth are residues from ancient supernova explosions that occurred before

570-448: A diminutive of nux ('nut'), meaning 'the kernel' (i.e., the 'small nut') inside a watery type of fruit (like a peach ). In 1844, Michael Faraday used the term to refer to the "central point of an atom". The modern atomic meaning was proposed by Ernest Rutherford in 1912. The adoption of the term "nucleus" to atomic theory, however, was not immediate. In 1916, for example, Gilbert N. Lewis stated, in his famous article The Atom and

665-556: A final section, is bound state beta decay of rhenium-187 . In this process, the beta electron-decay of the parent nuclide is not accompanied by beta electron emission, because the beta particle has been captured into the K-shell of the emitting atom. An antineutrino is emitted, as in all negative beta decays. If energy circumstances are favorable, a given radionuclide may undergo many competing types of decay, with some atoms decaying by one route, and others decaying by another. An example

760-421: A given total number of nucleons . This consequently produces a more stable (lower energy) nucleus. A hypothetical process of positron capture, analogous to electron capture, is theoretically possible in antimatter atoms, but has not been observed, as complex antimatter atoms beyond antihelium are not experimentally available. Such a decay would require antimatter atoms at least as complex as beryllium-7 , which

855-467: A ground energy state, also produce later internal conversion and gamma decay in almost 0.5% of the time. The daughter nuclide of a decay event may also be unstable (radioactive). In this case, it too will decay, producing radiation. The resulting second daughter nuclide may also be radioactive. This can lead to a sequence of several decay events called a decay chain (see this article for specific details of important natural decay chains). Eventually,

950-470: A limited range because it decays quickly with distance (see Yukawa potential ); thus only nuclei smaller than a certain size can be completely stable. The largest known completely stable nucleus (i.e. stable to alpha, beta , and gamma decay ) is lead-208 which contains a total of 208 nucleons (126 neutrons and 82 protons). Nuclei larger than this maximum are unstable and tend to be increasingly short-lived with larger numbers of nucleons. However, bismuth-209

1045-414: A neutrino and a gamma ray from the excited nucleus (and often also Auger electrons and characteristic X-rays , as a result of the re-ordering of electrons to fill the place of the missing captured electron). These types of decay involve the nuclear capture of electrons or emission of electrons or positrons, and thus acts to move a nucleus toward the ratio of neutrons to protons that has the least energy for

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1140-491: A positively charged core of radius ≈ 0.3 fm surrounded by a compensating negative charge of radius between 0.3 fm and 2 fm. The proton has an approximately exponentially decaying positive charge distribution with a mean square radius of about 0.8 fm. The shape of the atomic nucleus can be spherical, rugby ball-shaped (prolate deformation), discus-shaped (oblate deformation), triaxial (a combination of oblate and prolate deformation) or pear-shaped. Nuclei are bound together by

1235-448: A proton + neutron (the deuteron) can exhibit bosonic behavior when they become loosely bound in pairs, which have integer spin. In the rare case of a hypernucleus , a third baryon called a hyperon , containing one or more strange quarks and/or other unusual quark(s), can also share the wave function. However, this type of nucleus is extremely unstable and not found on Earth except in high-energy physics experiments. The neutron has

1330-583: A radioactive nuclide with a half-life of only 5700(30) years, is constantly produced in Earth's upper atmosphere due to interactions between cosmic rays and nitrogen. Nuclides that are produced by radioactive decay are called radiogenic nuclides , whether they themselves are stable or not. There exist stable radiogenic nuclides that were formed from short-lived extinct radionuclides in the early Solar System. The extra presence of these stable radiogenic nuclides (such as xenon-129 from extinct iodine-129 ) against

1425-403: A reduction of summed rest mass , once the released energy (the disintegration energy ) has escaped in some way. Although decay energy is sometimes defined as associated with the difference between the mass of the parent nuclide products and the mass of the decay products, this is true only of rest mass measurements, where some energy has been removed from the product system. This is true because

1520-444: A single neutron halo include Be and C. A two-neutron halo is exhibited by He, Li, B, B and C. Two-neutron halo nuclei break into three fragments, never two, and are called Borromean nuclei because of this behavior (referring to a system of three interlocked rings in which breaking any ring frees both of the others). He and Be both exhibit a four-neutron halo. Nuclei which have a proton halo include B and P. A two-proton halo

1615-447: A single proton) to about 11.7  fm for uranium . These dimensions are much smaller than the diameter of the atom itself (nucleus + electron cloud), by a factor of about 26,634 (uranium atomic radius is about 156  pm ( 156 × 10  m )) to about 60,250 ( hydrogen atomic radius is about 52.92  pm ). The branch of physics involved with the study and understanding of the atomic nucleus, including its composition and

1710-431: A sphere of positive charge. Ernest Rutherford later devised an experiment with his research partner Hans Geiger and with help of Ernest Marsden , that involved the deflection of alpha particles (helium nuclei) directed at a thin sheet of metal foil. He reasoned that if J. J. Thomson's model were correct, the positively charged alpha particles would easily pass through the foil with very little deviation in their paths, as

1805-526: A stable nuclide is produced. Any decay daughters that are the result of an alpha decay will also result in helium atoms being created. Some radionuclides may have several different paths of decay. For example, 35.94(6) % of bismuth-212 decays, through alpha-emission, to thallium-208 while 64.06(6) % of bismuth-212 decays, through beta-emission, to polonium-212 . Both thallium-208 and polonium-212 are radioactive daughter products of bismuth-212, and both decay directly to stable lead-208 . According to

1900-399: A third-life, or even a (1/√2)-life, could be used in exactly the same way as half-life; but the mean life and half-life t 1/2 have been adopted as standard times associated with exponential decay. Those parameters can be related to the following time-dependent parameters: These are related as follows: where N 0 is the initial amount of active substance — substance that has

1995-526: Is copper-64 , which has 29 protons, and 35 neutrons, which decays with a half-life of 12.7004(13) hours. This isotope has one unpaired proton and one unpaired neutron, so either the proton or the neutron can decay to the other particle, which has opposite isospin . This particular nuclide (though not all nuclides in this situation) is more likely to decay through beta plus decay ( 61.52(26) %) than through electron capture ( 38.48(26) %). The excited energy states resulting from these decays which fail to end in

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2090-497: Is internal conversion , which results in an initial electron emission, and then often further characteristic X-rays and Auger electrons emissions, although the internal conversion process involves neither beta nor gamma decay. A neutrino is not emitted, and none of the electron(s) and photon(s) emitted originate in the nucleus, even though the energy to emit all of them does originate there. Internal conversion decay, like isomeric transition gamma decay and neutron emission, involves

2185-399: Is a nuclear transmutation resulting in a daughter containing a different number of protons or neutrons (or both). When the number of protons changes, an atom of a different chemical element is created. There are 28 naturally occurring chemical elements on Earth that are radioactive, consisting of 35 radionuclides (seven elements have two different radionuclides each) that date before

2280-415: Is also stable to beta decay and has the longest half-life to alpha decay of any known isotope, estimated at a billion times longer than the age of the universe. The residual strong force is effective over a very short range (usually only a few femtometres (fm); roughly one or two nucleon diameters) and causes an attraction between any pair of nucleons. For example, between a proton and a neutron to form

2375-472: Is composed of a positively charged nucleus, with a cloud of negatively charged electrons surrounding it, bound together by electrostatic force . Almost all of the mass of an atom is located in the nucleus, with a very small contribution from the electron cloud . Protons and neutrons are bound together to form a nucleus by the nuclear force . The diameter of the nucleus is in the range of 1.70  fm ( 1.70 × 10  m ) for hydrogen (the diameter of

2470-409: Is due to two reasons: Historically, experiments have been compared to relatively crude models that are necessarily imperfect. None of these models can completely explain experimental data on nuclear structure. The nuclear radius ( R ) is considered to be one of the basic quantities that any model must predict. For stable nuclei (not halo nuclei or other unstable distorted nuclei) the nuclear radius

2565-423: Is exhibited by Ne and S. Proton halos are expected to be more rare and unstable than the neutron examples, because of the repulsive electromagnetic forces of the halo proton(s). Although the standard model of physics is widely believed to completely describe the composition and behavior of the nucleus, generating predictions from theory is much more difficult than for most other areas of particle physics . This

2660-425: Is much more complex than simple closure of shell orbitals with magic numbers of protons and neutrons. For larger nuclei, the shells occupied by nucleons begin to differ significantly from electron shells, but nevertheless, present nuclear theory does predict the magic numbers of filled nuclear shells for both protons and neutrons. The closure of the stable shells predicts unusually stable configurations, analogous to

2755-445: Is preceded and followed by 17 or more stable elements. There are however problems with the shell model when an attempt is made to account for nuclear properties well away from closed shells. This has led to complex post hoc distortions of the shape of the potential well to fit experimental data, but the question remains whether these mathematical manipulations actually correspond to the spatial deformations in real nuclei. Problems with

2850-534: Is proportional to the volume. Surface energy . A nucleon at the surface of a nucleus interacts with fewer other nucleons than one in the interior of the nucleus and hence its binding energy is less. This surface energy term takes that into account and is therefore negative and is proportional to the surface area. Coulomb energy . The electric repulsion between each pair of protons in a nucleus contributes toward decreasing its binding energy. Asymmetry energy (also called Pauli Energy). An energy associated with

2945-418: Is responsible for beta decay, while the other two are governed by the electromagnetic and nuclear forces . Radioactive decay is a random process at the level of single atoms. According to quantum theory , it is impossible to predict when a particular atom will decay, regardless of how long the atom has existed. However, for a significant number of identical atoms, the overall decay rate can be expressed as

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3040-518: Is roughly proportional to the cube root of the mass number ( A ) of the nucleus, and particularly in nuclei containing many nucleons, as they arrange in more spherical configurations: The stable nucleus has approximately a constant density and therefore the nuclear radius R can be approximated by the following formula, where A = Atomic mass number (the number of protons Z , plus the number of neutrons N ) and r 0  = 1.25 fm = 1.25 × 10  m. In this equation,

3135-447: Is successful at explaining many important phenomena of nuclei, such as their changing amounts of binding energy as their size and composition changes (see semi-empirical mass formula ), but it does not explain the special stability which occurs when nuclei have special "magic numbers" of protons or neutrons. The terms in the semi-empirical mass formula, which can be used to approximate the binding energy of many nuclei, are considered as

3230-462: Is that sharing of electrons to create stable electronic orbits about the nuclei that appears to us as the chemistry of our macro world. Protons define the entire charge of a nucleus, and hence its chemical identity . Neutrons are electrically neutral, but contribute to the mass of a nucleus to nearly the same extent as the protons. Neutrons can explain the phenomenon of isotopes (same atomic number with different atomic mass). The main role of neutrons

3325-416: Is the lightest known isotope of normal matter to undergo decay by electron capture. Shortly after the discovery of the neutron in 1932, Enrico Fermi realized that certain rare beta-decay reactions immediately yield neutrons as an additional decay particle, so called beta-delayed neutron emission . Neutron emission usually happens from nuclei that are in an excited state, such as the excited O* produced from

3420-433: Is to reduce electrostatic repulsion inside the nucleus. Protons and neutrons are fermions , with different values of the strong isospin quantum number , so two protons and two neutrons can share the same space wave function since they are not identical quantum entities. They are sometimes viewed as two different quantum states of the same particle, the nucleon . Two fermions, such as two protons, or two neutrons, or

3515-584: The Big Bang theory , stable isotopes of the lightest three elements ( H , He, and traces of Li ) were produced very shortly after the emergence of the universe, in a process called Big Bang nucleosynthesis . These lightest stable nuclides (including deuterium ) survive to today, but any radioactive isotopes of the light elements produced in the Big Bang (such as tritium ) have long since decayed. Isotopes of elements heavier than boron were not produced at all in

3610-507: The Pauli exclusion principle . Were it not for the Coulomb energy, the most stable form of nuclear matter would have the same number of neutrons as protons, since unequal numbers of neutrons and protons imply filling higher energy levels for one type of particle, while leaving lower energy levels vacant for the other type. Pairing energy . An energy which is a correction term that arises from

3705-715: The U.S. National Cancer Institute (NCI), International Agency for Research on Cancer (IARC) and the Radiation Effects Research Foundation of Hiroshima ) studied definitively through meta-analysis the damage resulting from the "low doses" that have afflicted survivors of the atomic bombings of Hiroshima and Nagasaki and also in numerous accidents at nuclear plants that have occurred. These scientists reported, in JNCI Monographs: Epidemiological Studies of Low Dose Ionizing Radiation and Cancer Risk , that

3800-623: The röntgen unit, and the International X-ray and Radium Protection Committee (IXRPC) was formed. Rolf Sievert was named chairman, but a driving force was George Kaye of the British National Physical Laboratory . The committee met in 1931, 1934, and 1937. After World War II , the increased range and quantity of radioactive substances being handled as a result of military and civil nuclear programs led to large groups of occupational workers and

3895-500: The "constant" r 0 varies by 0.2 fm, depending on the nucleus in question, but this is less than 20% change from a constant. In other words, packing protons and neutrons in the nucleus gives approximately the same total size result as packing hard spheres of a constant size (like marbles) into a tight spherical or almost spherical bag (some stable nuclei are not quite spherical, but are known to be prolate ). Models of nuclear structure include: The cluster model describes

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3990-401: The "optical model", frictionlessly orbiting at high speed in potential wells. In the above models, the nucleons may occupy orbitals in pairs, due to being fermions, which allows explanation of even/odd Z and N effects well known from experiments. The exact nature and capacity of nuclear shells differs from those of electrons in atomic orbitals, primarily because the potential well in which

4085-488: The 1930s, after a number of cases of bone necrosis and death of radium treatment enthusiasts, radium-containing medicinal products had been largely removed from the market ( radioactive quackery ). Only a year after Röntgen 's discovery of X-rays, the American engineer Wolfram Fuchs (1896) gave what is probably the first protection advice, but it was not until 1925 that the first International Congress of Radiology (ICR)

4180-408: The Big Bang, and these first five elements do not have any long-lived radioisotopes. Thus, all radioactive nuclei are, therefore, relatively young with respect to the birth of the universe, having formed later in various other types of nucleosynthesis in stars (in particular, supernovae ), and also during ongoing interactions between stable isotopes and energetic particles. For example, carbon-14 ,

4275-402: The Earth's atmosphere or crust . The decay of the radionuclides in rocks of the Earth's mantle and crust contribute significantly to Earth's internal heat budget . While the underlying process of radioactive decay is subatomic, historically and in most practical cases it is encountered in bulk materials with very large numbers of atoms. This section discusses models that connect events at

4370-620: The Molecule , that "the atom is composed of the kernel and an outer atom or shell. " Similarly, the term kern meaning kernel is used for nucleus in German and Dutch. The nucleus of an atom consists of neutrons and protons, which in turn are the manifestation of more elementary particles, called quarks , that are held in association by the nuclear strong force in certain stable combinations of hadrons , called baryons . The nuclear strong force extends far enough from each baryon so as to bind

4465-588: The United States Nuclear Regulatory Commission permits the use of the unit curie alongside SI units, the European Union European units of measurement directives required that its use for "public health ... purposes" be phased out by 31 December 1985. The effects of ionizing radiation are often measured in units of gray for mechanical or sievert for damage to tissue. Radioactive decay results in

4560-408: The atomic level to observations in aggregate. The decay rate , or activity , of a radioactive substance is characterized by the following time-independent parameters: Although these are constants, they are associated with the statistical behavior of populations of atoms. In consequence, predictions using these constants are less accurate for minuscule samples of atoms. In principle a half-life,

4655-423: The background of primordial stable nuclides can be inferred by various means. Radioactive decay has been put to use in the technique of radioisotopic labeling , which is used to track the passage of a chemical substance through a complex system (such as a living organism ). A sample of the substance is synthesized with a high concentration of unstable atoms. The presence of the substance in one or another part of

4750-663: The beta decay of N. The neutron emission process itself is controlled by the nuclear force and therefore is extremely fast, sometimes referred to as "nearly instantaneous". Isolated proton emission was eventually observed in some elements. It was also found that some heavy elements may undergo spontaneous fission into products that vary in composition. In a phenomenon called cluster decay , specific combinations of neutrons and protons other than alpha particles (helium nuclei) were found to be spontaneously emitted from atoms. Other types of radioactive decay were found to emit previously seen particles but via different mechanisms. An example

4845-505: The biological effects of radiation due to radioactive substances were less easy to gauge. This gave the opportunity for many physicians and corporations to market radioactive substances as patent medicines . Examples were radium enema treatments, and radium-containing waters to be drunk as tonics. Marie Curie protested against this sort of treatment, warning that "radium is dangerous in untrained hands". Curie later died from aplastic anaemia , likely caused by exposure to ionizing radiation. By

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4940-457: The carbon-14 in individual tree rings, for example). The Szilard–Chalmers effect is the breaking of a chemical bond as a result of a kinetic energy imparted from radioactive decay. It operates by the absorption of neutrons by an atom and subsequent emission of gamma rays, often with significant amounts of kinetic energy. This kinetic energy, by Newton's third law , pushes back on the decaying atom, which causes it to move with enough speed to break

5035-466: The dangers involved in the careless use of X-rays were not being heeded, either by industry or by his colleagues. By this time, Rollins had proved that X-rays could kill experimental animals, could cause a pregnant guinea pig to abort, and that they could kill a foetus. He also stressed that "animals vary in susceptibility to the external action of X-light" and warned that these differences be considered when patients were treated by means of X-rays. However,

5130-441: The dark after exposure to light, and Becquerel suspected that the glow produced in cathode-ray tubes by X-rays might be associated with phosphorescence. He wrapped a photographic plate in black paper and placed various phosphorescent salts on it. All results were negative until he used uranium salts. The uranium salts caused a blackening of the plate in spite of the plate being wrapped in black paper. These radiations were given

5225-404: The date of formation of organic matter within a certain period related to the isotope's half-life may be estimated, because the carbon-14 becomes trapped when the organic matter grows and incorporates the new carbon-14 from the air. Thereafter, the amount of carbon-14 in organic matter decreases according to decay processes that may also be independently cross-checked by other means (such as checking

5320-409: The decay energy is transformed to thermal energy, which retains its mass. Decay energy, therefore, remains associated with a certain measure of the mass of the decay system, called invariant mass , which does not change during the decay, even though the energy of decay is distributed among decay particles. The energy of photons, the kinetic energy of emitted particles, and, later, the thermal energy of

5415-423: The decay energy must always carry mass with it, wherever it appears (see mass in special relativity ) according to the formula E  =  mc . The decay energy is initially released as the energy of emitted photons plus the kinetic energy of massive emitted particles (that is, particles that have rest mass). If these particles come to thermal equilibrium with their surroundings and photons are absorbed, then

5510-423: The discovery of the positron in cosmic ray products, it was realized that the same process that operates in classical beta decay can also produce positrons ( positron emission ), along with neutrinos (classical beta decay produces antineutrinos). In electron capture, some proton-rich nuclides were found to capture their own atomic electrons instead of emitting positrons, and subsequently, these nuclides emit only

5605-414: The electromagnetic forces that hold the parts of the atoms together internally (for example, the forces that hold the electrons in an inert gas atom bound to its nucleus). The nuclear force is highly attractive at the distance of typical nucleon separation, and this overwhelms the repulsion between protons due to the electromagnetic force, thus allowing nuclei to exist. However, the residual strong force has

5700-526: The first to realize that many decay processes resulted in the transmutation of one element to another. Subsequently, the radioactive displacement law of Fajans and Soddy was formulated to describe the products of alpha and beta decay . The early researchers also discovered that many other chemical elements , besides uranium, have radioactive isotopes. A systematic search for the total radioactivity in uranium ores also guided Pierre and Marie Curie to isolate two new elements: polonium and radium . Except for

5795-431: The foil should act as electrically neutral if the negative and positive charges are so intimately mixed as to make it appear neutral. To his surprise, many of the particles were deflected at very large angles. Because the mass of an alpha particle is about 8000 times that of an electron, it became apparent that a very strong force must be present if it could deflect the massive and fast moving alpha particles. He realized that

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5890-494: The forces that bind it together, is called nuclear physics . The nucleus was discovered in 1911, as a result of Ernest Rutherford 's efforts to test Thomson's " plum pudding model " of the atom. The electron had already been discovered by J. J. Thomson . Knowing that atoms are electrically neutral, J. J. Thomson postulated that there must be a positive charge as well. In his plum pudding model, Thomson suggested that an atom consisted of negative electrons randomly scattered within

5985-575: The formation of the Solar System . They are the fraction of radionuclides that survived from that time, through the formation of the primordial solar nebula , through planet accretion , and up to the present time. The naturally occurring short-lived radiogenic radionuclides found in today's rocks , are the daughters of those radioactive primordial nuclides. Another minor source of naturally occurring radioactive nuclides are cosmogenic nuclides , that are formed by cosmic ray bombardment of material in

6080-418: The limit of measurement) to radioactive decay. Radioactive decay is seen in all isotopes of all elements of atomic number 83 ( bismuth ) or greater. Bismuth-209 , however, is only very slightly radioactive, with a half-life greater than the age of the universe; radioisotopes with extremely long half-lives are considered effectively stable for practical purposes. In analyzing the nature of the decay products, it

6175-429: The name "Becquerel Rays". It soon became clear that the blackening of the plate had nothing to do with phosphorescence, as the blackening was also produced by non-phosphorescent salts of uranium and by metallic uranium. It became clear from these experiments that there was a form of invisible radiation that could pass through paper and was causing the plate to react as if exposed to light. At first, it seemed as though

6270-411: The names alpha , beta , and gamma, in increasing order of their ability to penetrate matter. Alpha decay is observed only in heavier elements of atomic number 52 ( tellurium ) and greater, with the exception of beryllium-8 (which decays to two alpha particles). The other two types of decay are observed in all the elements. Lead, atomic number 82, is the heaviest element to have any isotopes stable (to

6365-430: The neutrons and protons together against the repulsive electrical force between the positively charged protons. The nuclear strong force has a very short range, and essentially drops to zero just beyond the edge of the nucleus. The collective action of the positively charged nucleus is to hold the electrically negative charged electrons in their orbits about the nucleus. The collection of negatively charged electrons orbiting

6460-435: The new epidemiological studies directly support excess cancer risks from low-dose ionizing radiation. In 2021, Italian researcher Sebastiano Venturi reported the first correlations between radio-caesium and pancreatic cancer with the role of caesium in biology, in pancreatitis and in diabetes of pancreatic origin. The International System of Units (SI) unit of radioactive activity is the becquerel (Bq), named in honor of

6555-431: The new radiation was similar to the then recently discovered X-rays. Further research by Becquerel, Ernest Rutherford , Paul Villard , Pierre Curie , Marie Curie , and others showed that this form of radioactivity was significantly more complicated. Rutherford was the first to realize that all such elements decay in accordance with the same mathematical exponential formula. Rutherford and his student Frederick Soddy were

6650-421: The noble group of nearly-inert gases in chemistry. An example is the stability of the closed shell of 50 protons, which allows tin to have 10 stable isotopes, more than any other element. Similarly, the distance from shell-closure explains the unusual instability of isotopes which have far from stable numbers of these particles, such as the radioactive elements 43 ( technetium ) and 61 ( promethium ), each of which

6745-427: The nucleons move (especially in larger nuclei) is quite different from the central electromagnetic potential well which binds electrons in atoms. Some resemblance to atomic orbital models may be seen in a small atomic nucleus like that of helium-4 , in which the two protons and two neutrons separately occupy 1s orbitals analogous to the 1s orbital for the two electrons in the helium atom, and achieve unusual stability for

6840-457: The nucleus as a molecule-like collection of proton-neutron groups (e.g., alpha particles ) with one or more valence neutrons occupying molecular orbitals. Early models of the nucleus viewed the nucleus as a rotating liquid drop. In this model, the trade-off of long-range electromagnetic forces and relatively short-range nuclear forces, together cause behavior which resembled surface tension forces in liquid drops of different sizes. This formula

6935-412: The nucleus display an affinity for certain configurations and numbers of electrons that make their orbits stable. Which chemical element an atom represents is determined by the number of protons in the nucleus; the neutral atom will have an equal number of electrons orbiting that nucleus. Individual chemical elements can create more stable electron configurations by combining to share their electrons. It

7030-567: The nucleus of uranium-238 ). These nuclei are not maximally dense. Halo nuclei form at the extreme edges of the chart of the nuclides —the neutron drip line and proton drip line—and are all unstable with short half-lives, measured in milliseconds ; for example, lithium-11 has a half-life of 8.8 ms . Halos in effect represent an excited state with nucleons in an outer quantum shell which has unfilled energy levels "below" it (both in terms of radius and energy). The halo may be made of either neutrons [NN, NNN] or protons [PP, PPP]. Nuclei which have

7125-460: The plum pudding model could not be accurate and that the deflections of the alpha particles could only be explained if the positive and negative charges were separated from each other and that the mass of the atom was a concentrated point of positive charge. This justified the idea of a nuclear atom with a dense center of positive charge and mass. The term nucleus is from the Latin word nucleus ,

7220-472: The proton and neutron potential wells. While each nucleon is a fermion, the {NP} deuteron is a boson and thus does not follow Pauli Exclusion for close packing within shells. Lithium-6 with 6 nucleons is highly stable without a closed second 1p shell orbital. For light nuclei with total nucleon numbers 1 to 6 only those with 5 do not show some evidence of stability. Observations of beta-stability of light nuclei outside closed shells indicate that nuclear stability

7315-685: The public being potentially exposed to harmful levels of ionising radiation. This was considered at the first post-war ICR convened in London in 1950, when the present International Commission on Radiological Protection (ICRP) was born. Since then the ICRP has developed the present international system of radiation protection, covering all aspects of radiation hazards. In 2020, Hauptmann and another 15 international researchers from eight nations (among them: Institutes of Biostatistics, Registry Research, Centers of Cancer Epidemiology, Radiation Epidemiology, and also

7410-433: The radioactivity of radium, the chemical similarity of radium to barium made these two elements difficult to distinguish. Marie and Pierre Curie's study of radioactivity is an important factor in science and medicine. After their research on Becquerel's rays led them to the discovery of both radium and polonium, they coined the term "radioactivity" to define the emission of ionizing radiation by some heavy elements. (Later

7505-445: The radioisotopes and some of their decay products become trapped when a rock solidifies, and can then later be used (subject to many well-known qualifications) to estimate the date of the solidification. These include checking the results of several simultaneous processes and their products against each other, within the same sample. In a similar fashion, and also subject to qualification, the rate of formation of carbon-14 in various eras,

7600-446: The release of energy by an excited nuclide, without the transmutation of one element into another. Rare events that involve a combination of two beta-decay-type events happening simultaneously are known (see below). Any decay process that does not violate the conservation of energy or momentum laws (and perhaps other particle conservation laws) is permitted to happen, although not all have been detected. An interesting example discussed in

7695-438: The residual strong force ( nuclear force ). The residual strong force is a minor residuum of the strong interaction which binds quarks together to form protons and neutrons. This force is much weaker between neutrons and protons because it is mostly neutralized within them, in the same way that electromagnetic forces between neutral atoms (such as van der Waals forces that act between two inert gas atoms) are much weaker than

7790-499: The same percentage of unstable particles as when the substance was formed. Atomic nucleus The atomic nucleus is the small, dense region consisting of protons and neutrons at the center of an atom , discovered in 1911 by Ernest Rutherford based on the 1909 Geiger–Marsden gold foil experiment . After the discovery of the neutron in 1932, models for a nucleus composed of protons and neutrons were quickly developed by Dmitri Ivanenko and Werner Heisenberg . An atom

7885-424: The same reason. Nuclei with 5 nucleons are all extremely unstable and short-lived, yet, helium-3 , with 3 nucleons, is very stable even with lack of a closed 1s orbital shell. Another nucleus with 3 nucleons, the triton hydrogen-3 is unstable and will decay into helium-3 when isolated. Weak nuclear stability with 2 nucleons {NP} in the 1s orbital is found in the deuteron hydrogen-2 , with only one nucleon in each of

7980-464: The scientist Henri Becquerel . One Bq is defined as one transformation (or decay or disintegration) per second. An older unit of radioactivity is the curie , Ci, which was originally defined as "the quantity or mass of radium emanation in equilibrium with one gram of radium (element)". Today, the curie is defined as 3.7 × 10 disintegrations per second, so that 1  curie (Ci) = 3.7 × 10 Bq . For radiological protection purposes, although

8075-527: The shell model have led some to propose realistic two-body and three-body nuclear force effects involving nucleon clusters and then build the nucleus on this basis. Three such cluster models are the 1936 Resonating Group Structure model of John Wheeler, Close-Packed Spheron Model of Linus Pauling and the 2D Ising Model of MacGregor. Radioactive displacement law of Fajans and Soddy The law of radioactive displacements , also known as Fajans's and Soddy's law , in radiochemistry and nuclear physics ,

8170-424: The sum of five types of energies (see below). Then the picture of a nucleus as a drop of incompressible liquid roughly accounts for the observed variation of binding energy of the nucleus: [REDACTED] Volume energy . When an assembly of nucleons of the same size is packed together into the smallest volume, each interior nucleon has a certain number of other nucleons in contact with it. So, this nuclear energy

8265-541: The surrounding matter, all contribute to the invariant mass of the system. Thus, while the sum of the rest masses of the particles is not conserved in radioactive decay, the system mass and system invariant mass (and also the system total energy) is conserved throughout any decay process. This is a restatement of the equivalent laws of conservation of energy and conservation of mass . Early researchers found that an electric or magnetic field could split radioactive emissions into three types of beams. The rays were given

8360-403: The system is determined by detecting the locations of decay events. On the premise that radioactive decay is truly random (rather than merely chaotic ), it has been used in hardware random-number generators . Because the process is not thought to vary significantly in mechanism over time, it is also a valuable tool in estimating the absolute ages of certain materials. For geological materials,

8455-400: The tendency of proton pairs and neutron pairs to occur. An even number of particles is more stable than an odd number. A number of models for the nucleus have also been proposed in which nucleons occupy orbitals, much like the atomic orbitals in atomic physics theory. These wave models imagine nucleons to be either sizeless point particles in potential wells, or else probability waves as in

8550-926: The term was generalized to all elements.) Their research on the penetrating rays in uranium and the discovery of radium launched an era of using radium for the treatment of cancer. Their exploration of radium could be seen as the first peaceful use of nuclear energy and the start of modern nuclear medicine . The dangers of ionizing radiation due to radioactivity and X-rays were not immediately recognized. The discovery of X‑rays by Wilhelm Röntgen in 1895 led to widespread experimentation by scientists, physicians, and inventors. Many people began recounting stories of burns, hair loss and worse in technical journals as early as 1896. In February of that year, Professor Daniel and Dr. Dudley of Vanderbilt University performed an experiment involving X-raying Dudley's head that resulted in his hair loss. A report by Dr. H.D. Hawks, of his suffering severe hand and chest burns in an X-ray demonstration,

8645-487: The time of formation of the Solar System . These 35 are known as primordial radionuclides . Well-known examples are uranium and thorium , but also included are naturally occurring long-lived radioisotopes, such as potassium-40 . Each of the heavy primordial radionuclides participates in one of the four decay chains . Radioactivity was discovered in 1896 by scientists Henri Becquerel and Marie Curie , while working with phosphorescent materials. These materials glow in

8740-515: Was almost always found to be associated with other types of decay, and occurred at about the same time, or afterwards. Gamma decay as a separate phenomenon, with its own half-life (now termed isomeric transition ), was found in natural radioactivity to be a result of the gamma decay of excited metastable nuclear isomers , which were in turn created from other types of decay. Although alpha, beta, and gamma radiations were most commonly found, other types of emission were eventually discovered. Shortly after

8835-587: Was held and considered establishing international protection standards. The effects of radiation on genes, including the effect of cancer risk, were recognized much later. In 1927, Hermann Joseph Muller published research showing genetic effects and, in 1946, was awarded the Nobel Prize in Physiology or Medicine for his findings. The second ICR was held in Stockholm in 1928 and proposed the adoption of

8930-442: Was obvious from the direction of the electromagnetic forces applied to the radiations by external magnetic and electric fields that alpha particles carried a positive charge, beta particles carried a negative charge, and gamma rays were neutral. From the magnitude of deflection, it was clear that alpha particles were much more massive than beta particles . Passing alpha particles through a very thin glass window and trapping them in

9025-687: Was the first of many other reports in Electrical Review . Other experimenters, including Elihu Thomson and Nikola Tesla , also reported burns. Thomson deliberately exposed a finger to an X-ray tube over a period of time and suffered pain, swelling, and blistering. Other effects, including ultraviolet rays and ozone, were sometimes blamed for the damage, and many physicians still claimed that there were no effects from X-ray exposure at all. Despite this, there were some early systematic hazard investigations, and as early as 1902 William Herbert Rollins wrote almost despairingly that his warnings about

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