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Magnetic quantum number. In atomic physics, a magnetic quantum number is a quantum number used to distinguish quantum states of an electron or other particle according to its angular momentum along a given axis in space. The orbital magnetic quantum number ( ml or m[ a]) distinguishes the orbitals available within a given subshell of an atom.
ℓ = 0, 1, 2,..., n − 1. A quantum number beginning in n = 3, ℓ = 0, describes an electron in the s orbital of the third electron shell of an atom. In chemistry, this quantum number is very important, since it specifies the shape of an atomic orbital and strongly influences chemical bonds and bond angles.
Azimuthal quantum number. The atomic orbital wavefunctions of a hydrogen atom: The azimuthal quantum number ( â„“) is denoted by letter at the top of each column. The principal quantum number ( n) is shown at the right of each row. In quantum mechanics, the azimuthal quantum number â„“ is a quantum number for an atomic orbital that determines ...
In magnetohydrodynamics, the magnetic Reynolds number ( Rm) is a dimensionless quantity that estimates the relative effects of advection or induction of a magnetic field by the motion of a conducting medium to the magnetic diffusion. It is the magnetic analogue of the Reynolds number in fluid mechanics and is typically defined by: where. U ...
The Bohr–Sommerfeld model was fundamentally inconsistent and led to many paradoxes. The magnetic quantum number measured the tilt of the orbital plane relative to the xy plane, and it could only take a few discrete values. This contradicted the obvious fact that an atom could be turned this way and that relative to the coordinates without ...
List of letters used in mathematics, science, and engineering. Latin and Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special functions, and also conventionally for variables representing certain quantities.
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