Carbon (atomic number 6) can be found in the second row of the periodic table; at the ground state, the six electrons occupy two of its principle energy levels, giving the electron with the highest energy a principal quantum number n of 2.
l=0, 1, 2, ..., (n-1) where n the principal quantum number. [1]
Electrons fill both "s" and "p" orbitals in a ground-state carbon atom; which correspond to orbital angular momentum numbers (Azimuthal quantum number) l=0 and l=1.
![Table from the Wikipedia page for Azimuthal quantum number[2]](https://useruploads.socratic.org/VyEtYuZhTayEFFOZIQD6_Screenshot%202018-03-30%20at%2006.53.23.png)
m_l=-l, -l+1, -l+2, ..., -1, 0, 1, ..., l-2, l-1, l [1]
giving magnetic quantum numbers m_l values of -1, 0, 1 which corresponds to the three 2"p" orbital in a carbon atom.
m_s=/pm 1/2, a property of electrons independent of the atom in question.
References
[1] Quantum Numbers, Libretext, https://chem.libretexts.org/Core/Physical_and_Theoretical_Chemistry/Quantum_Mechanics/10%3A_Multi-electron_Atoms/Quantum_Numbers
[2]Azimuthal quantum number, the English Wikipedia, https://en.wikipedia.org/wiki/Azimuthal_quantum_number
