Zeeman effect derivation

Zeeman effect derivation



00:08 Potential energy of magnetic dipole in a magnetic field
01:20 Magnetic dipole moment µ = IA
01:39 Current I = -e / T
04:37 µ in terms of angular momentum L
04:57 z-component of µ (classical)
05:33 z-component of µ (quantum mechanical)
06:26 Definition of Bohr magneton

Derivation for an expression for the splitting in energy levels of the electrons due to an external magnetic field. Note that Pieter Zeeman was awarded the 1902 Nobel Prize in Physics.

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PHYWE: Zeeman effect

PHYWE: Zeeman effect



The “Zeeman effect” is the splitting up of the spectral lines of atoms within a magnetic field. The simplest is the splitting up of one spectral line into three components called the “normal Zeeman effect”. In this experiment the normal Zeeman effect as well as the anomalous Zeeman effect are studied using a cadmium spectral lamp as a specimen. The cadmium lamp is submitted to different magnetic flux densities and the splitting up of the cadmium lines (normal Zeeman effect 643.8 nm, red light; anomalous Zeeman effect 508,6nm, green light) is investigated using a Fabry-Perot interferometer. The evaluation of the results leads to a fairly precise value for Bohr’s magneton.

What you can learn about:
Bohr’s atomic model
Quantisation of energy levels
Electron spin
Bohr’s magneton
Interference of electromagnetic waves
Fabry-Perot interferometer

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