What is the Q Value of Beta Minus Decay?

In summary, the Q value of beta minus decay is the difference between the initial mass of the parent nucleus and the combined masses of the daughter nucleus and the emitted electron and anti-neutrino. It is calculated using the formula Q = (Mi - Mf) c^2 and can affect the stability of a nucleus. Factors such as the mass of the nuclei, energy levels of particles, and conservation laws can affect the Q value. The Q value is important in nuclear processes as it determines stability, energy released, and is used in nuclear reactions.
  • #1
harsh22902
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TL;DR Summary
The given image shows the derivation of Q value in a beta minus decay. Now according to my understanding the electron released is formed from a neutron which converts to a proton and an electron within the nucleus , and has no relation with the orbital electrons. Then why is it that in the second bracket it has been given (Z+1)*m(e) and not Z*m(e) only.
beta.png
 
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  • #2
It's because they define and calculate it in terms of the mass of the neutral atoms, which includes the mass of the electrons, and the daughter of a ##\beta##-decay nucleus has one more proton and thus also the corresponding atom one more electron than the mother nucleus/atom.
 
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  • #3
That clears it for me , thank you !
 

1. What is the Q value of beta minus decay?

The Q value of beta minus decay is the energy released in the process of a beta minus decay. It is the difference between the mass of the parent nucleus and the combined masses of the daughter nucleus and the emitted electron.

2. How is the Q value of beta minus decay calculated?

The Q value of beta minus decay can be calculated using the equation Q = (Mparent - Mdaughter - Melectron)c^2, where Mparent is the mass of the parent nucleus, Mdaughter is the mass of the daughter nucleus, Melectron is the mass of the emitted electron, and c is the speed of light.

3. What is the significance of the Q value of beta minus decay?

The Q value of beta minus decay is significant because it determines the stability of a nucleus. If the Q value is positive, the decay is energetically favorable and the nucleus is unstable. If the Q value is negative, the decay is not energetically possible and the nucleus is stable.

4. How does the Q value of beta minus decay affect the half-life of a nucleus?

The Q value of beta minus decay does not directly affect the half-life of a nucleus. However, a higher Q value typically indicates a shorter half-life, as the nucleus is more unstable and more likely to undergo decay.

5. Can the Q value of beta minus decay be changed?

No, the Q value of beta minus decay is a fundamental property of a nucleus and cannot be changed. It is determined by the masses of the parent and daughter nuclei and the emitted electron, which are constant values.

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