digplanet beta 1: Athena
Share digplanet:


Applied sciences






















This article is about the nuclear process. For the chemical process, see Internal conversion (chemistry).

Internal conversion is a radioactive decay process wherein an excited nucleus interacts electromagnetically with one of its electrons. This causes the electron to be emitted (ejected) from the atom.[1] Thus, in an internal conversion process, a high-energy electron is emitted from the radioactive atom, not from the nucleus. For this reason, the high-speed electrons resulting from internal conversion are not beta particles, since the latter come from beta decay, where they are newly created in the nuclear decay process. Since no beta decay takes place during internal conversion, the element atomic number does not change, and thus (as is the case with gamma decay) no transmutation of one element to another takes place. However, since an electron is lost, an otherwise neutral atom becomes ionized. Also, no neutrino is emitted during internal conversion.

Internally converted electrons have a discrete energy spectrum rather than the spread (continuous) spectrum characteristic of beta particles. The spread spectrum of beta particles results when a neutron decays into a proton, a beta particle (electron), and an electron antineutrino. Varying amounts of decay energy are carried off by the antineutrino during beta decay, resulting in great variety of energies and the spectrum of beta electrons' energies that result from that process, hence its spread spectrum. Internally converted electrons, however, carry a fixed fraction of the characteristic decay energy, hence they have a discrete energy. The energy spectrum of a beta particle thus plots as a broad hump, extending from essentially zero (a bound electron that does not even have enough energy to escape the atom) to a maximum decay energy value. By contrast, the energy spectrum of internally converted electrons plots as a single sharp peak.

Internal conversion (often abbreviated IC) is favoured whenever the energy gap between nuclear energy levels is small, and it is also the primary mode of de-excitation for 0+→0+ (i.e. E0) transitions. The 0+→0+ transitions occur where an excited nucleus has zero-spin, and decays to a ground state which also has zero-spin (such as all nuclides with even numbers of protons and neutrons). In such cases, de-excitation cannot happen with emission of a single gamma ray, so other mechanisms like IC predominate. This also shows that internal conversion (contrary to its name) is not a two-step process where a gamma ray would be first emitted and then converted.


In the quantum mechanical mathematical model for the internal conversion process, the wavefunction of an inner shell electron (usually an s electron) penetrates the volume of the atomic nucleus. This means that there is a finite probability of finding the electron within the nucleus. When this happens, the electron may couple to an excited energy state of the nucleus and take the energy of the nuclear transition directly, without an intermediate gamma ray being first produced.

The process of imparting energy from the nucleus to an orbital electron is a quantum process and may be seen as taking place by means of a virtual photon. In that sense, the photon involved can be considered as a "virtual gamma ray", which appears as a feature in an equation that describes the process, rather than as a directly measurable emission. The kinetic energy of the emitted electron is equal to the transition energy in the nucleus, minus the binding energy of the electron to the atom.

Most internal conversion (IC) electrons come from the K shell (the 1s state), as these two electrons have the highest probability of being interacting with the nucleus. However, the s state in the L, M, and N shells (i.e., the 2s, 3s, and 4s states) are also able to couple to the nuclear fields and cause IC electron ejections from those shells (called LMN internal conversion). Ratios of K-shell to other L, M, or N shell internal conversion probabilities for various nuclides have been prepared.[2]

Since at a minimum, the atomic binding energy of the s electron must be supplied to that electron in order to eject it from the atom to result in the internal conversion; that is to say, K shell internal conversion cannot happen if the decay energy of the nucleus is insufficient to overcome the binding energy of that electron. There are a few radionuclides in which the decay energy is not sufficient to convert (eject) a 1s (K shell) electron, and these nuclides, when they decay by internal conversion, must decay exclusively from the L, M, or N shells (i.e., by ejecting 2s, 3s, or 4s electrons) as their binding energy is lower than the K shell electrons.

Although s electrons are more likely for IC processes due to their superior nuclear penetration with regard to electrons with orbital angular momentum, spectral studies show that p electrons (from shells L and higher) are occasionally ejected in the IC process.

After the IC electron has been emitted, the atom is left with a vacancy in one of its electron shells, usually an inner one. This hole will be filled with an electron from one of the higher shells, and consequently one or more characteristic X-rays or Auger electrons will be emitted as the remaining electrons in the atom cascade down to fill the vacancy.

When the process is expected[edit]

Internal conversion is favoured when the energy gap between nuclear levels is small, and is also the primary mode of de-excitation for 0+→0+ (i.e. E0) transitions.[3] The 0+→0+ transitions occur where an excited nucleus has zero spin. In such cases, the nucleus cannot rid itself of energy by emitting a single gamma ray, since this would violate conservation of angular momentum. Emission of two gamma rays (double gamma decay) is allowed (with the photons having opposite spins), but internal conversion solves the problem for zero spin nuclei more naturally, and for low energies of excitation in nuclei which have a stable ratio of protons to neutrons, is the favored process.

Beta decay (both positive and negative) is also possible in zero-spin nuclei with ratios of protons to neutrons which are far outside the region of stability for this ratio.

Nuclei with zero-spin and high excitation energies (more than about 1.022 MeV) are also unable to rid themselves of energy by (single) gamma emission, but they do have sufficient decay energy to decay by internal pair creation.[4] In this type of decay, an electron and positron are both emitted from the atom at the same time, and conservation of angular momentum is solved by having these two product particles spin in opposite directions.

Internal conversion is also the predominant mode of de-excitation whenever the initial and final spin states are not zero, but are the same (but with other different quantum numbers). However, the multi-polarity rules for non-zero initial and final spin states do not necessarily forbid the competing de-excitation by emission of a single gamma ray, in such cases.

The tendency towards internal conversion in a nucleus which is also allowed to decay by gamma emission, can be expressed by the internal conversion coefficient, which is empirically determined by the ratio of de-excitations that go by the emission of conversion electrons, to those that go by gamma emission.

The competition between internal conversion and gamma decay is quantified in the form of the internal conversion coefficient which is defined as \alpha = e/{\gamma} where e is the rate of conversion electrons and \gamma is the rate of gamma-ray emission observed from a decaying nucleus. For example, in the decay of an excited state of the nucleus of 125I, 7% of the decays emit energy as a gamma ray, while 93% release energy as conversion electrons. Therefore, this excited state of 125
has an internal conversion coefficient of \alpha = 93/7 = 13.3.

For increasing atomic number (Z) and decreasing gamma-ray energy, internal conversion coefficients are observed to increase. As one example, IC coefficients are calculated explicitly for 55
, 67
, 99mTc, 111
, 113mIn, 115mIn, 123
, 125
, 193mPt, 201
and 203
by Howell (1992) using Monte Carlo methods. (For 55
, the IC coefficient is zero.)

The energy of the emitted gamma ray is regarded as a precise measure of the difference in energy between the excited states of the decaying nucleus. However, this is not true in the case of conversion electrons. The energy of a conversion electron is given as E = (E_i - E_f)-E_B, where E_i and E_f are the energies of the nucleus in its initial and final states, respectively, while E_B is the binding energy of the electron.

Similar processes[edit]

This internal conversion process is also not to be confused with the similar photoelectric effect, which also may occur with electron emissions associated with gamma radiation, in which an incident gamma photon emitted from a nucleus interacts with an electron, expelling the electron from the atom. Thus, gamma photoelectric-effect electron emission may also cause high-speed electrons to be emitted from radioactive atoms without beta decay. However, in internal conversion, the nucleus does not first emit an intermediate real gamma ray, and therefore need not change angular momentum or electric moment.

Also, electrons from the gamma photoelectric effect show a spread in energy, depending on how much energy has been imparted to the ejected electron by the gamma ray that interacts with it—an amount that is variable depending on the angle of gamma photon scattering from the electron. Further, a gamma ray is still emitted in photoelectric processes, but one that possesses a fraction of the energy compared to the gamma ray that left the nucleus. By contrast, in internal conversion, no gamma ray is emitted at all, and the electron energy is fixed at a single, typical value.

Auger electrons, which may also be produced after an internal conversion, arise from a mechanism that is different from that of internal conversion, but is analogous to it. Internal conversion electrons arise when an intense electric dipole field inside the nucleus accelerates an electron that has penetrated the nucleus and removes it from the atom. Auger electrons similarly arise when an electric field is produced within an atom's electron cloud due to loss of another electron, and this field again induces the acceleration and removal of yet another of the atom's atomic orbital electrons. Like IC electrons, Auger electrons also emerge in a sharp energy peak.

The electron capture process also involves an inner shell electron, which in this case is retained in the nucleus (changing the atomic number) and leaving the atom (not the nucleus) in an excited state. The atom missing an inner electron can relax by a cascade of X-ray emissions as higher energy electrons in the atom fall to fill the vacancy left in the electron cloud by the captured electron. Such atoms also typically exhibit Auger electron emission. Electron capture, like beta decay, also typically results in excited atomic nuclei, which may then relax to a state of lowest nuclear energy by any of the methods permitted by spin constraints, including gamma decay and internal conversion decay.

See also[edit]


  1. ^ Loveland, Walter D. (2005). Modern Nuclear Chemistry. Wiley. p. 232. ISBN 0471115320. 
  2. ^ [1] Internal conversion branch tables]
  3. ^ Gamma decay review Accessed Sept. 29, 2014
  4. ^ [2] E0 rules

Further reading[edit]

  • Krane, Kenneth S. (1988). Introductory Nuclear Physics. J. Wiley & Sons. ISBN 0-471-80553-X. 
  • L'Annunziata, Michael F. et al. (2003). Handbook of Radioactivity Analysis. Academic Press. ISBN 0-12-436603-1. 
  • R.W.Howell, Radiation spectra for Auger-electron emitting radionuclides: Report No. 2 of AAPM Nuclear Medicine Task Group No. 6, 1992, Medical Physics 19(6), 1371–1383

External links[edit]

Original courtesy of Wikipedia: http://en.wikipedia.org/wiki/Internal_conversion — Please support Wikipedia.
This page uses Creative Commons Licensed content from Wikipedia. A portion of the proceeds from advertising on Digplanet goes to supporting Wikipedia.
447177 videos foundNext > 

Gamma Decay

An explanation of gamma decay in radioactivity.

Extension, Garage Conversion and Internal Alterations in Richmond

By Holland and Green http://www.hollandgreen.co.uk/ Designers of Exceptional House Extensions and Loft Conversions in Oxford and London. 'Creating Wonderful Living Spaces'

How to: Changing crankset from internal to external bottom bracket

Tools I used: The one @4:02 is PARK TOOL BBT-9 BOTTOM BRACKET TOOL (can find on Pricepoint or Amazon) The one@2:20 is SETTE TORX ST-26BB-1A BB TOOL (Pricepoint or Amazon) ...

Unboxing/Convert a Internal HDD to an External HDD

This is Unboxing of a harddrive enclosure and how to convert and assemble your internal harrdive to an external. Twitter- www.twitter.com/trueray17.

OM: Internal Requisition and Internal Sales Order flow

OM: Internal Requisition and Internal Sales Order flow [wp_ad_camp_1][wp_ad_camp_2][wp_ad_camp_3]

Edinburgh & Fife attic / loft conversions structural work

In this project The clients opted to do all the internal finishing work to the new loft conversion themselves. Our job was to complete all the structural work, lay the new floor and fit all...

Acoustic to electronic drum conversion using an internal trigger Part1

Acoustic to electronic drum conversion using an internal trigger. This is part one of a two part video showing how I converted an acoustic snare drum into an electronic drum using an internal...

Computer Number Systems(Binary,Octal,Hexa,Decimal) Basics & Conversion Techniques + 7 Golden Rules

http://www.youtube.com/sujoyn70 https://www.youtube.com/playlist?list=PLHGJFOxCJ5IwD4PTCNWPT2vYxGB1s5zvy Today I'll tell you How To Convert from any base Number System to any other ...

Phantom 1 to Phantom 1.5 Conversion - Internal Power Connector

Update video from my series on how to upgrade your Phantom 1 into a Phantom 2 shell (and use the Phantom 2 battery or a stock Lipo). See my channel for more on that!! This video shows how...

Acoustic to electronic drum conversion using an internal trigger Part2

Acoustic to electronic drum conversion using an internal trigger. This is part two of a two part video showing how I converted an acoustic snare drum into an electronic drum using an internal...

447177 videos foundNext > 

72 news items

Marketing Land

Marketing Land
Fri, 23 Jan 2015 06:04:48 -0800

... focus on vanity metrics. All of the above derail progress even before you factor in other companies who may have better or more mature conversion practices than your own. Sound familiar? Here are five tips for tackling these internal conversion ...

Today's Catholic News

Today's Catholic News
Tue, 24 Feb 2015 11:18:45 -0800

In his homily, Bishop Rhoades spoke to the rapt congregation of the 40-day penitential season of Lent, acknowledging the spirit of compunction that is needed for an internal conversion. The bishop reminded the students that the ashes they would receive ...


Fri, 31 Oct 2014 12:41:15 -0700

However, Christianity is not primarily external behavior, but an internal conversion. The outer works flow from the inner work. Repentance means reorienting your life around Jesus, and asking Him to rescue you and to be in charge from now on. It means ...
Resident Advisor
Mon, 01 Dec 2014 19:52:00 -0800

The label released his debut album, Internal Conversion, back in May, and the two producers have also been collaborating as Spherical Coordinates, putting out records over the past couple years on PoleGroup, Wünsch's Tsunami Records and Token.

The Guardian

The Guardian
Thu, 25 Sep 2014 02:03:58 -0700

Innovation is best-sparked close to home, by isolating small things that can make a big difference (focusing on improving internal conversion rate, for example). Everything already occurring in a business should be fully understood and optimised before ...

The Guardian

The Guardian
Tue, 23 Dec 2014 07:34:13 -0800

Vatican clerics may well be guilty of jealousy, gossip and 'sterile pessimism'. But, honestly, which workplace isn't? Pope Francis I at the Vatican, Rome, Italy - 22 Dec 2014 'Pope Francis's speech was received in almost complete silence, according to ...


Sat, 24 Jan 2015 10:59:58 -0800

Social liberation presupposes internal conversion. “Reforming the social structures, which perpetuate poverty and the exclusion of the poor, first requires a conversion of mind and heart,” the Pope said in his Malacañang address. But the exhortation is ...
Patheos (blog)
Fri, 22 Aug 2014 14:19:40 -0700

I wrote a bit of Ignatian-style Gospel fan-fic earlier this week, taking a stab at the encounter of Jesus with the Canaanite woman. This is a controversial passage, and my take on it resounded with some. Call it the Ironic Jesus perspective: I propose ...

Oops, we seem to be having trouble contacting Twitter

Support Wikipedia

A portion of the proceeds from advertising on Digplanet goes to supporting Wikipedia. Please add your support for Wikipedia!

Searchlight Group

Digplanet also receives support from Searchlight Group. Visit Searchlight