Decay Energy
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The decay energy is the
energy In physics, energy (from Ancient Greek: ἐνέργεια, ''enérgeia'', “activity”) is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat a ...
change of a nucleus having undergone a
radioactive decay 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 consid ...
. Radioactive decay is the process in which an unstable
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 i ...
loses energy by emitting ionizing particles and
radiation In physics, radiation is the emission or transmission of energy in the form of waves or particles through space or through a material medium. This includes: * ''electromagnetic radiation'', such as radio waves, microwaves, infrared, visi ...
. This decay, or loss of energy, results in an atom of one type (called the parent
nuclide A nuclide (or nucleide, from nucleus, also known as nuclear species) is a class of atoms characterized by their number of protons, ''Z'', their number of neutrons, ''N'', and their nuclear energy state. The word ''nuclide'' was coined by Truman ...
) transforming to an atom of a different type (called the
daughter nuclide In nuclear physics, a decay product (also known as a daughter product, daughter isotope, radio-daughter, or daughter nuclide) is the remaining nuclide left over from radioactive decay. Radioactive decay often proceeds via a sequence of steps (de ...
).


Decay calculation

The energy difference of the
reactant In chemistry, a reagent ( ) or analytical reagent is a substance or compound added to a system to cause a chemical reaction, or test if one occurs. The terms ''reactant'' and ''reagent'' are often used interchangeably, but reactant specifies a ...
s is often written as ''Q'': :Q = \left( \text \right)_\text - \left( \text \right)_\text, :Q = \left(\text \right)_ c^2 - \left( \text \right )_\text c^2 . Decay energy is usually quoted in terms of the energy units MeV (million
electronvolt In physics, an electronvolt (symbol eV, also written electron-volt and electron volt) is the measure of an amount of kinetic energy In physics, the kinetic energy of an object is the energy that it possesses due to its motion. It is defi ...
s) or keV (thousand electronvolts): : Q \text = -931.5 \Delta M \text,~~(\text\Delta M = \Sigma M_\text - \Sigma M_\text). Types of radioactive decay include *
gamma ray A gamma ray, also known as gamma radiation (symbol γ or \gamma), is a penetrating form of electromagnetic radiation arising from the radioactive decay of atomic nuclei. It consists of the shortest wavelength electromagnetic waves, typically ...
*
beta decay In nuclear physics, beta decay (β-decay) is a type of radioactive decay in which a beta particle (fast energetic electron or positron) is emitted from an atomic nucleus, transforming the original nuclide to an isobar of that nuclide. For ...
(decay energy is divided between the emitted
electron The electron ( or ) is a subatomic particle with a negative one elementary electric charge. Electrons belong to the first generation of the lepton particle family, and are generally thought to be elementary particles because they have no kn ...
and the
neutrino A neutrino ( ; denoted by the Greek letter ) is a fermion (an elementary particle with spin of ) that interacts only via the weak interaction and gravity. The neutrino is so named because it is electrically neutral and because its rest mass ...
which is emitted at the same time) *
alpha decay Alpha decay or α-decay is a type of radioactive decay in which an atomic nucleus emits an alpha particle (helium nucleus) and thereby transforms or 'decays' into a different atomic nucleus, with a mass number that is reduced by four and an atom ...
The decay energy is the mass difference ''Δm'' between the parent and the daughter atom and particles. It is equal to the energy of radiation ''E''. If ''A'' is the radioactive activity, i.e. the number of transforming atoms per time, ''M'' the molar mass, then the radiation power ''P'' is: :P = \Delta \left( \frac \right). or :P = E \left( \frac \right). or :P = Q A. Example: 60Co decays into 60Ni. The mass difference ''Δm'' is 0.003 u. The radiated energy is approximately 2.8MeV. The molar weight is 59.93. The half life ''T'' of 5.27 year corresponds to the activity , where N is the number of atoms per mol, and T is the half-life. Taking care of the units the radiation power for 60Co is 17.9W/g Radiation power in ''W/g'' for several isotopes: : 60Co: 17.9 : 238Pu: 0.57 : 137Cs: 0.6 : 241Am: 0.1 : 210Po: 140 (T = 136d) : 90Sr: 0.9 : 226Ra: 0.02 For use in
radioisotope thermoelectric generators A radioisotope thermoelectric generator (RTG, RITEG), sometimes referred to as a radioisotope power system (RPS), is a type of nuclear battery that uses an array of thermocouples to convert the heat released by the decay of a suitable radioact ...
(RTGs) high decay energy combined with a long half life is desirable. To reduce the cost and weight of
radiation shielding Radiation protection, also known as radiological protection, is defined by the International Atomic Energy Agency (IAEA) as "The protection of people from harmful effects of exposure to ionizing radiation, and the means for achieving this". Exposur ...
, sources that do not emit strong
gamma radiation A gamma ray, also known as gamma radiation (symbol γ or \gamma), is a penetrating form of electromagnetic radiation arising from the radioactive decay of atomic nuclei. It consists of the shortest wavelength electromagnetic waves, typically s ...
are preferred. This table gives an indication why - despite its enormous cost - with its roughly eighty year half life and low gamma emissions has become the RTG nuclide of choice. performs worse than on almost all measures, being shorter lived, a beta emitter rather than an easily shielded alpha emitter and releasing significant gamma radiation when its daughter nuclide decays, but as it is a high yield product of nuclear fission and easy to chemically extract from other fission products,
Strontium titanate Strontium titanate is an oxide of strontium and titanium with the chemical formula Sr Ti O3. At room temperature, it is a centrosymmetric paraelectric material with a perovskite structure. At low temperatures it approaches a ferroelectric phase ...
based RTGs were in widespread use for remote locations during much of the 20th century.
Cobalt-60 Cobalt-60 (60Co) is a synthetic radioactive isotope of cobalt with a half-life of 5.2713 years. It is produced artificially in nuclear reactors. Deliberate industrial production depends on neutron activation of bulk samples of the monoisoto ...
while widely used for purposes such as
food irradiation Food irradiation is the process of exposing food and food packaging to ionizing radiation, such as from gamma rays, x-rays, or electron beams. Food irradiation improves food safety and extends product shelf life (preservation) by effectively ...
is not a practicable RTG isotope as most of its decay energy is released by gamma rays, requiring substantial shielding. Furthermore its five year half life is too short for many applications.


See also

*
Q value (nuclear science) In nuclear physics and chemistry, the value for a reaction is the amount of energy absorbed or released during the nuclear reaction. The value relates to the enthalpy of a chemical reaction or the energy of radioactive decay products. It can be ...


References

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Radioactivity Radionuclides Radiation by Joseph Magill and Jean Galy, Springer Verlag, 2005
Nuclear physics