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

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To calculate the Q value for beta decay, the formula Q = (M1 - M2)c² is used, where M1 and M2 are the atomic masses of the initial and final nuclei, respectively. It's important to include the mass of the electron (or positron) in the calculation, leading to the adjusted formula Q = (M1 - M2)c² - mec². In special cases like electron capture, only a neutrino is emitted, and the calculation differs slightly. For verification, an online Q-value calculator is available for comparison. Understanding these calculations is essential for accurate results in nuclear physics.
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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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
 

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