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andrewm
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Say I know the total angular momentum of my electron as J. If I write the total magnetic moment as [tex] \mu = \gamma J [/tex] then does [tex] \gamma = \gamma_{spin} + \gamma_{orbital} [/tex] ?
No. Mu will not be in the direction of J, since the g factor for S and L are different.andrewm said:Say I know the total angular momentum of my electron as J. If I write the total magnetic moment as [tex] \mu = \gamma J [/tex] then does [tex] \gamma = \gamma_{spin} + \gamma_{orbital} [/tex] ?
clem said:No. Mu will not be in the direction of J, since the g factor for S and L are different.
For a single electron, [tex]{\vec\mu}=(-e/2mc)[{\vec L}+2{\vec S}][/tex].
This is the origin of the Lande g factor.
An electron magnetic moment is a measure of the strength and direction of the magnetic field produced by an electron. It is a fundamental property of electrons and is important in understanding their behavior and interactions with other particles.
The spin contribution to the electron magnetic moment is due to the intrinsic angular momentum of the electron, while the orbital contribution is due to the motion of the electron around the nucleus. Both of these contributions are necessary to fully describe the electron's magnetic moment.
The electron magnetic moment can be calculated using quantum mechanical equations that take into account the spin and orbital contributions. These equations involve the electron's mass, charge, and speed, as well as other physical constants.
The electron magnetic moment plays a crucial role in determining the behavior of electrons in atoms and molecules. It affects the energy levels of electrons and their interactions with external magnetic fields.
No, the electron magnetic moment can vary depending on the environment and external factors. For example, the electron's magnetic moment can change when it is in motion or when it is in the presence of a magnetic field.