# G factor calculation problems

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gstefane
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1a)
On the website tabulation, we can see that the magnetic moment of the 111Cd is:
0.5958 for the ground state, and a spin of 1/2
-0.766 for the 245keV state , and a spin of 5/2

Using the formulism, we can calculate g as:
g=(hbar)*mu/(muN*I)
We obtain for the ground level a g factor of 2.35E26, and a g factor of -6.067E25 for the 245keV level.

I’m not sure if this results are correct, because the mu in the tabulation is given in nm instead of J/T, but I couldn0t figure out if this can be a source of error.

1b)

We can write the g factor of the electron as:
g=muB*2me/(e*S)

We know S for the electron is 1/2*hbar, so we can calculate g, that results in a value of 2.0028

1c)

The magnetic moment of the neutron can be written as:
mu=g*muN*I/hbar

We know that for the neutron, I=1/2*hbar, so we can calculate mu, obtaining a value of -9.66E-27 J/T.

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