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Magnetic quantic number
The magnetic quantum number, also known as the magnetic moment quantum number, is a fundamental property of subatomic particles, such as electrons, protons, and neutrons. Describes the interaction between the particle and an external magnetic field.
Definition of the magnetic quantum number
The magnetic quantum number is denoted by the letter m and is defined as the measure of the interaction between the particle and an external magnetic field. The value of m can be an integer or a semi-integer (i.e., an integer plus 1/2).
Relationship with spin quantum number
The magnetic quantum number is related to the spin quantum number (s) as follows:
m = -s, -s+1, ..., s-1, s
That is, the magnetic quantum number can take values ranging from -s to s, in increments of 1.
Properties of the magnetic quantum number
The magnetic quantum number has several important properties:
1. _Interaction with magnetic fields_: The magnetic quantum number describes the interaction between the particle and an external magnetic field.
2. _Magnetic moment_: The magnetic quantum number is related to the magnetic moment of the particle.
3. _Energy_: The magnetic quantum number influences the energy of the particle in an external magnetic field.
Examples of particles with different magnetic quantum number values
Some examples of particles with different magnetic quantum number values are:
- Electron: m = -1/2, 1/2
- Proton: m = -1/2, 1/2
- Neutron: m = -1/2, 1/2
- Photon: m = 0
Importance of the magnetic quantum number
The magnetic quantum number is fundamental to understanding the behavior of subatomic particles in external magnetic fields. It is essential for particle physics, quantum chemistry and solid state physics.
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