The electron spin magnetic moment is given by the formula:
2.
We can calculate the observable spin magnetic moment, a vector, ""
3.
The unbalanced spin creates spin magnetic moment, making the electron act like a very small magnet.
4.
It turns out the classical result is off by a proportional factor for the spin magnetic moment.
5.
Particles with spin have a corresponding spin magnetic moment quantized in units of, the Bohr magneton:
6.
The rule assumes the Russell Saunders coupling and that interactions between spin magnetic moments can be ignored.
7.
In turn, calculation of the magnitude of the total spin magnetic moment requires that ( ) be replaced by:
8.
Spin magnetic moments create a basis for one of the most important principles in chemistry, the Pauli exclusion principle.
9.
The second term gives the energy of the " finite distance " interaction of the nuclear dipole with the field due to the electron spin magnetic moments.
10.
The proton and electron's spin magnetic moments can be calculated by setting and, respectively, where " e " is the elementary charge.
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