Define Nuclear Magneton | Get Help Now

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SUMMARY

The nuclear magneton (\mu_N) is defined as \mu_N = e \hbar / M_p, where e is the elementary charge, \hbar is the reduced Planck's constant, and M_p is the mass of the proton. Its numerical value is \mu_N = 3.15 x 10^-14 MeV. The nuclear magneton serves as a unit for expressing the magnetic moments of hadrons, particularly in relation to the magnetic moment of the proton, which is given by \mu_p = g \mu_N, with the proton's g value being 2.79 due to its anomalous magnetic moment.

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  • Understanding of quantum mechanics and angular momentum
  • Familiarity with the Bohr magneton and its definition
  • Knowledge of the Dirac equation and its implications for particle physics
  • Basic concepts of magnetic moments in particle physics
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  • Research the implications of the Dirac equation in quantum mechanics
  • Study the differences between the Bohr magneton and nuclear magneton
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Can someone please help define a nuclear magneton. I can not conceptualize it.
Thanks
 
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If you know what a Bohr magneton is, a nuclear magneton is the same thing, except using the mass of a paroton instead of the mass of an electron. Specifically it is defined by \mu_N=e hbar/M_p, with the numerical value \mu_N=3.15X10^-14 MeV. It arises from the connection betrween angular momentum and magnetic moment. Using the Dirac equation, the magnetic moment of a spin 1/2 particle proton would be given by \mu_p=\mu_N. But the proton has an anomaloous magnetic moment so that its actual value is \mu_p=g\mu_N, where g is called the "g value" or more commonly nowadays g is called "the magnetic moment" given in units olf the nuclear magneton, \mu_N.
This is what is meant by the statement "The magnetic moment of the proton is 2.79", because that is the value of g for the proton.
The nuclear magneton is just a convenient unit in which to express magnetic mooments of hadrons.
 

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