Why does Z=-1 for a beta minus particle?

In summary, the atomic number (Z) is defined as the number of protons in a nucleus. When a beta minus particle (an electron) is produced through decay, Z is equal to -1 because it is necessary for the conservation of atomic number. However, Z can also be defined as the number of positive charged entities within a nucleus, and in this case, Z would not be equal to -1 in the same situation. The most important concept is the conservation of electric charge, and the notation used in physics is often historical and not necessarily the most logical.
  • #1
JCsponge
4
0
This sounds like a silly question but if

Z (atomic number) is defined as the number of protons in a nucleus.

Why does Z=-1 for a beta minus particle? (since it is just an electron)

I know what is happening with the decay that a up quark turns into a down quark so that a neutron turns into a proton, electron and electron neutrino but I see no reason other than saying the atomic number must be conserved in the decay equation for Z=-1 for the beta particle.

It seems to me that we have decided that Z=-1 to fit a rule for conservation of atomic number and for no other reason.

I know that there must be an error in my thinking somewhere but where?
 
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  • #2
You can also define Z as the number of positive charged entities within a nucleus. Hence when the nucleus are gaining one positive charged entity (neutron -> proton ) one negative charge must "fly away" (electron + neutrino). So it depends on how you define Z.. it's not a big deal - the most important thing is that you understand the physics and that what is important is electric charge conservation.

There are many funny and strange notations in physics, many are historical.
 
  • #3


The reason for Z = -1 for a beta minus particle is not just to fit a rule for conservation of atomic number. It is actually a result of the fundamental properties and interactions of subatomic particles.

First, let's understand what happens during beta minus decay. In this process, a neutron in the nucleus decays into a proton, an electron, and an antineutrino. The neutron is made up of two down quarks and one up quark. One of the down quarks in the neutron changes into an up quark, resulting in a proton. The other down quark emits a W- boson, which then decays into an electron and an antineutrino.

Now, the electron that is emitted during beta minus decay is not just any electron. It is a high-energy electron, also known as a beta minus particle. This is because during the decay process, the W- boson transfers energy to the electron, giving it a high velocity.

So, why does Z = -1 for this beta minus particle? This is because the electron is not a part of the original nucleus. It is created during the decay process and is not bound to the nucleus. Therefore, it does not contribute to the atomic number of the nucleus. The atomic number of the nucleus remains the same as before the decay, which is why Z = -1 for the beta minus particle.

In summary, the reason for Z = -1 for a beta minus particle is not just to fit a rule, but it is a result of the fundamental properties and interactions of subatomic particles. The electron emitted during beta minus decay is not a part of the original nucleus and therefore does not contribute to its atomic number.
 

1. Why does Z=-1 for a beta minus particle?

The value of Z for a beta minus particle is -1 because it has one less proton than its parent atom. This results in a net negative charge for the particle.

2. How does the negative charge of a beta minus particle affect its behavior?

The negative charge of a beta minus particle causes it to be attracted to positively charged particles and repelled by other negatively charged particles. This affects its trajectory and interactions with other particles.

3. Is Z=-1 a universal value for all beta minus particles?

Yes, Z=-1 is a constant value for all beta minus particles. This is because all beta minus particles have one less proton than their parent atoms, regardless of the type of atom or isotope.

4. What is the significance of Z=-1 for nuclear reactions involving beta minus particles?

The value of Z=-1 is important in nuclear reactions involving beta minus particles because it helps to determine the overall charge of the system. This can affect the stability and behavior of the resulting nucleus.

5. Can a beta minus particle have a different value of Z?

No, the value of Z for a beta minus particle is always -1. This is due to the fundamental nature of beta minus decay, where a neutron is converted into a proton and a beta minus particle is emitted, resulting in a net decrease of one proton and a corresponding decrease in Z.

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