# Formula: Angular Momentum of a Quantum Particle Magnetic quantum number

## Angular momentum component

Unit
This is one of the three components of the total orbital angular momentum $$\boldsymbol{L} = [ L_{\text x},~ L_{\text y},~ L_{\text z} ]$$ of an electron in an atom (e.g. H-atom). The $$L_{\text z}$$ component is quantized and occurs only as a multiple of the Planck's constant $$\hbar$$.

## Magnetic quantum number

Unit
The magnetic quantum number indicates how large the $$L_{\text z}$$ component of the orbital angular momentum is. For the orbital angular momentum quantum number $$l = 2$$ the magnetic quantum number can take on the values -2, -1, 0, 1 and 2.

## Reduced Planck's constant

Unit
Reduced quantum of action is a physical constant that often appears in the equations of quantum mechanics. It has the value: $$\hbar ~=~ \frac{h}{2 \pi} ~=~ 1.054 \, 572 ~\cdot~ 10^{-34} \, \text{Js}$$.

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