Revolving Electron’s Magnetic Dipole Moment
An atom is composed of a positively charged nucleus and negatively charged electrons.
The electron of charge (-e) performs U.C.M. (uniform circular motion) around a stationary nucleus with
period of revolution T. If r be the radius of the orbit of revolution of the electron
and v is the orbital velocity then
Magnitude of magnetic moment associated with circular current is
The direction of this magnetic moment is into the plane of paper. Negatively
charged electron is moving in anticlockwise direction, leading to a
Multiplying and dividing the right hand side of equation (5) by the mass of
electron, me then
The negative sign indicates that the orbital angular momentum of
electron is opposite in the direction to the orbital magnetic moment.
The magnetic dipole moment to angular momentum ratio
The gyromagnetic relationship is the ratio of revolving electrons to the ground.
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