Is charge conserved in positron emission?

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Discussion Overview

The discussion revolves around the conservation of charge in the context of positron emission during a nuclear reaction, specifically the decay of Calcium-39 into Potassium-39 and a positron. Participants explore the implications of charge conservation and the role of electrons in the process.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant questions the conservation of charge in the reaction, suggesting that the potassium product could be considered a negative ion, but finds this reasoning unsatisfactory.
  • Another participant asserts that charge is always conserved and suggests that the nuclear reaction equation is incomplete, emphasizing that the focus should be on the nucleus rather than the electrons involved.
  • A later reply acknowledges the previous point, suggesting that while the potassium may be treated as an anion, the charge of the electron emitted during positron emission is not typically considered in nuclear reactions.
  • Further, a participant notes that in some nuclear reactions, the nucleus may move independently of electrons, leading to complex interactions and ionizing radiation.

Areas of Agreement / Disagreement

Participants express differing views on the treatment of charge conservation in nuclear reactions, with no consensus reached on the implications of the positron emission and the role of electrons.

Contextual Notes

The discussion highlights the incomplete nature of the nuclear reaction equation and the potential oversight of electron interactions in the analysis of charge conservation.

Bipolarity
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Consider the reaction:

[itex]^{39}_{20}Ca \rightarrow ^{39}_{19}K + \beta^{+}[/itex]

I understand that a proton in the Calcium nucleus is being split into a neutron, which stays in the nucleus, and a positron, which gets ejected.

But if you look at the equation above, charge is not conserved. The only thing I can think of doing to balance is to consider the potassium product as a negative ion, but that makes no sense to me?

Or perhaps I am missing something. Or perhaps it has something to do with the number of electrons in play.

Any help is appreciated. Thanks!

BiP
 
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Charge is conserved always. Equation is just not complete, but when writing nuclear reaction we don't pay much attention to such things, we concentrate on what is important from the point of view of the nucleus (this is not a chemical reaction). Once the positron is emitted you end with an excess electron in the atom shells. Later this electron will look for a better place for itself, which usually means traveling to some other atom/ion whatever.
 
I see! Thanks Borek!
So techniclly, the potassium is actually an anion but we don't really care about that charge in nuclear reactions since the electron will quickly move somewhere else right?

BiP
 
More or less.

Depending on the nuclear reaction it may happen that nucleus (or several) lands in a different place it originally was (think fission). They move independently from the electrons generating a mess on their way (there is a reason why we call some forms of radiation ionizing).
 

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