Question

what values are needed to determine the energy of an electron in a many - electron atom?
□ ℓ
□ n
□ mₛ
□ m_ℓ

Explanation:

In a many - electron atom, the energy of an electron is mainly determined by the principal quantum number \(n\). The principal quantum number \(n\) represents the energy level or shell of the electron. The angular momentum quantum number \(l\) (which determines the sub - shell) also has a minor effect on the energy due to electron - electron repulsions and shielding effects in many - electron atoms. The spin quantum number \(m_s\) (which describes the spin of the electron, either \(+\frac{1}{2}\) or \(-\frac{1}{2}\)) and the magnetic quantum number \(m_l\) (which describes the orientation of the orbital in space) do not affect the energy of the electron in a many - electron atom.

Answer:

\(\boldsymbol{l}\), \(\boldsymbol{n}\)