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Not sure if that is an O or a 0, but a value of 0 would mean that its linear momentum is zero. For an electron for example, that means the electron is stationary. For S orbitals, the angular momentum is 0, because S orbitals are spherically symmetric, and angular momentum is about irregular shapes of an atomic orbital. If you meant "O" the letter, then O can often just mean the origin?
The angular momentum quantum number represents the shape of the orbital that an electron is located in. For an angular momentum of 0, it would mean that the orbital shape would be an s orbital. Angular momentum is associated with rotating motion and if it is equal to zero, it would mean that the particle is not moving.
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