Substituting in the expressions for the dipole moment in terms of the nuclear angular momentum and the magnetic field of a dipole, both given above, we have
2.
Parity with the number " I " is used to label nuclear angular momentum states, examples for some isotopes of Hydrogen ( H ), Carbon ( C ), and Sodium ( Na ) are;
3.
Although gamma decays with nuclear angular momentum changes of 2, 3, 4, etc ., are forbidden, they are only relatively forbidden, and do proceed, but with a slower rate than the normal allowed change of 1 unit.
4.
Although gamma decays with nuclear angular momentum changes of 2, 3, 4, etc, are " forbidden " they are only relatively forbidden, and do proceed, but with a slower rate than the normal " allowed " change of 1 unit.
5.
The constant A is known as the zero field hyperfine constant and is given in units of Hertz . \ mu _ B is the Bohr magneton . \ hbar \ vec J and \ hbar \ vec I are the electron and nuclear angular momentum operators . g _ J and g _ F can be found via a classical vector coupling model or a more detailed quantum mechanical calculation to be:
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