How to Calculate Q Value for Beta-Decay Using Atomic Masses?

  • Thread starter PonderingMick
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In summary, calculating the Q value for beta decay involves including the electron mass and there is a special case called electron capture which emits only a neutrino. You can use an online calculator for comparison.
  • #1
PonderingMick
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Can someone please tell me how to calculate this?

My notes are such a mess. Is it as simple as Q = (Mx-My)c2 using atomic masses?

Cheers,

Mick
 
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  • #2
I believe you have to also include the electron mass when you calculate the Q value for beta decay, because the electron (or positron) has to be created (in nearly every case):

Q = (M1 - M2)c2 - mec2

There is a special case, called electron capture, or k-capture, where the nucleus captures an atomic electron and emits only a neutrino.

You can compare your numbers with this online Q-value calculator:

http://t2.lanl.gov/data/astro/molnix96/qbeta.html
 

1. What is the Q value for beta-decay?

The Q value for beta-decay is the difference in energy between the parent atom and the daughter atom after the decay has occurred. It is a measure of the stability of the parent atom and can be calculated using the mass difference between the parent and daughter atoms.

2. How is the Q value for beta-decay calculated?

The Q value for beta-decay is calculated using the mass difference between the parent and daughter atoms, as well as any additional particles or energy that are released during the decay process.

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

The Q value for beta-decay is significant because it determines whether the decay process is energetically allowed or not. If the Q value is positive, the decay is energetically allowed and will occur spontaneously. If the Q value is negative, the decay is not energetically allowed and will not occur spontaneously.

4. How does the Q value for beta-decay relate to the half-life of a radioactive isotope?

The Q value for beta-decay is related to the half-life of a radioactive isotope through the decay constant. The decay constant is inversely proportional to the half-life, and the Q value is directly proportional to the decay constant.

5. Can the Q value for beta-decay change?

Yes, the Q value for beta-decay can change depending on the environment or conditions of the decay process. For example, the Q value may change if the decay occurs in a different medium or if there are additional particles involved in the decay process.

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