# Zeeman Effect

## Explain Zeeman Effect

The Zeeman effect is an effect in which the light of a spectral line is divided into two or more recurrences when it is under a magnetic field’s ubiquity. This property is named after Pieter Zeeman, a 20th-century physicist from the Netherlands who won the Nobel Prize in Physics and Hendrik Lorentz in 1902 to discover the effect. Understanding the Zeeman effect has led to advancements in electron paramagnetic resonance studies and magnetic field measurements in space, such as those of the Sun and other stars.

The development of quantum mechanics further modified the understanding of the Zeeman effect by resolving which spectral lines were released as electrons were passed from one energy shell to another in their orbit of atomic nuclei. The application of the Zeeman effect can be further extended to understand the molecular lines; sunspots related to Stokes profiles and infrared related “spectropolarimetric observations.”

### Zeeman Splitting

The pattern and amount of splitting signify that a magnetic field is present and of its strength. The Zeeman splitting is associated with the atomic level’s orbital angular momentum quantum number L. The quantum number L can assume values that are non-negative integers. The formula 2* L+1 can ascertain the magnetic field splitting in terms of levels. The given figure illustrates the Zeeman effect.

In atomic physics, different letters are used to represent the quantum levels, for L=0, “s” is used; for L=1, “d” is used; for L=2, “d” is used. These denotations are carried on for higher levels as well. It is also customary to precede this designation with the integer principal quantum number n. Thus, the designation "2p" indicates a level that has L equal to 1 and n equal to 2. In order to observe the Zeeman splitting, the Zeeman effect experiment needs to be carried out. This splitting of spectral lines is also known as Zeeman shifts.

### Polarisation of Spectral Lines

Polarisation effects can be associated with the lines related to Zeeman splitting. Polarisation in this context refers to the direction of the vibration of electromagnetic field lines. For example, polarising sunglasses usually suppress ambient glare because light reflected from surfaces has a specific polarisation. Polarising sunglasses are designed not to pass the polarization of light.

### Zeeman Effect and Stark Effect

Zeeman effect marks the piercing of spectral representations in the occurrence of a solid static external magnetic field. It was named after the name Pieter Zeeman. The impact of the magnetic field on atoms is defined under this concept. It is similar to this effect, as the spectral outlines are separated into various constituents in the occurrence of a current field.

Stark effect is witnessed when the piercing of spectral outlines is observed beneath the impression of the field of current. These spectral lines are the resultant of radiating ions, atoms, or molecules. When the spectrum of different frequencies of electromagnetic radiation is emitted or absorbed as the transition of electrons between an atom’s various energy levels, a spectrum occurs.

The signifying difference between Zeeman and Stark effect is that in the Zeeman effect we observe the spectral lines splitting under the influence of a strong externally applied magnetic field, on the other hand, the Stark effect is the phenomenon where spectral lines split under the influence of a strong electric field. The Zeeman effect is analogous to the Stark effect, whereas the Stark effect is perceived as the electric field that is analogous to the Zeeman effect. Therefore the Stark and Zeeman effect are effects that are encompassing both the impact of magnetic and electric fields on spectral lines.

### Zeeman Energy

Zeeman energy is the potential energy of a body in a magnetic field external to the same body that is magnetized. It can be represented as:

E$_{zeeman}$ = - μ $\int_{v}^{}$ M.H$_{⋿}$ x t dV

Where H$_{⋿}$ x t is the external field

M = local magnetisation, and

over the volume of the body, the integral is done,

This is the statistical average of an analogous microscopic Hamiltonian (energy) for each magnetic moment m, which is, however experiencing a local induction B:

H = - m . B