Beta Decay: Unstable Nuclei & Why It Occurs

In summary, beta decay occurs when the number of neutrons exceeds the number of protons in a nucleus, making it unstable. This instability is due to the nucleus attempting to reach a lower energy state. The excess energy in the nucleus can be attributed to the relationship between protons and neutrons and their energy levels. However, the exact mechanism is still not fully understood and is tied to Quantum Field Theory and vacuum fluctuations.
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Fabian901
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I've started studying physics at a basic level and I've ready that beta decay takes place when the number of neutrons exceed the number of protons in a nucleus. Why does this excess number of neutrons compared to protons make the nucleus unstable?
Also, what does an unstable nucleus mean?
 
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Unstable means there is a probability the nucleus will spontaneously split into smaller parts.

Nature prefers lower energy states. The energy of larger nucleus is higher than smaller ones so they will try to spilt to go to a lower energy state.

Exactly why it does this theoretically I don't know - nuclear physics is not really something I am up on.

But I suspect it's related to why excited electrons spontaneously emits photons to go to lower energy states - its tied up with Quantum Field Theory and the vacuum. Vacuum fluctuations are responsible - my suspicion its its the same with spontaneous nuclear splitting.

Thanks
Bill
 
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Thanks a lot for the answer! Where does that energy in the nucleus actually come from?
Many thanks!
 
  • #4
Fabian901 said:
I've started studying physics at a basic level and I've ready that beta decay takes place when the number of neutrons exceed the number of protons in a nucleus. Why does this excess number of neutrons compared to protons make the nucleus unstable?
Also, what does an unstable nucleus mean?
Not quite true. For increasing atomic numbers stability requires more neutrons than protons. If the ratio is too large or too small, there will be decay.

Heaviest stable nuclides are those of lead, 82 protons and 124 to 126 neutrons.
 
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Imagine that the protons and neutrons fill up two "parallel" sets of energy levels. For lower proton numbers the energy levels are nearly the same, so for a given total number of nucleons you get the lowest energy when you have half neutrons and half protons. See the picture associated with the asymmetry term in the Wiki article on the semi-empirical mass formula:

http://en.wikipedia.org/wiki/Semi-empirical_mass_formula#Asymmetry_term

For larger proton numbers, the electrostatic repulsion "spreads" the proton energy levels upwards and further apart, so the lowest-energy configuration has fewer protons than neutrons.
 
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I see, thanks a lot for the answers!
 

FAQ: Beta Decay: Unstable Nuclei & Why It Occurs

What is beta decay?

Beta decay is a type of radioactive decay in which an unstable nucleus emits a beta particle, which can be either an electron or a positron. This process occurs in order to reach a more stable state.

Why does beta decay occur?

Beta decay occurs because the nucleus of an atom is unstable due to an imbalance in the number of protons and neutrons. In order to reach a more stable state, the nucleus emits a beta particle, which changes the number of protons and neutrons in the nucleus.

What is the difference between beta positive and beta negative decay?

Beta positive decay, also known as positron emission, occurs when a proton in the nucleus is transformed into a neutron, and a positron is emitted. Beta negative decay, also known as electron capture, occurs when an electron is captured by the nucleus, causing a proton to turn into a neutron.

How does beta decay affect the atomic number and mass number of an atom?

In beta negative decay, the atomic number increases by one due to the conversion of a neutron into a proton. In beta positive decay, the atomic number decreases by one due to the conversion of a proton into a neutron. However, the mass number remains the same in both cases.

What are some practical applications of beta decay?

Beta decay has various practical applications, such as in nuclear power plants, where it is used to generate electricity. It is also used in medical imaging and cancer treatment, as well as in industrial processes such as thickness measurement and sterilization.

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