Question

When we discuss about configurations we specify n, l, m quantum numbers for the individual electrons.

My question is: why when we pass from configurations to atomic terms in order to use the total angular momentum we don't use anymore the n quantum number? Does exist an 'equivalent' number for the terms or is conceptual wrong to think about it?

I know the formal procedure for the change of basis set from uncoupled to coupled basis and i understand why this is important in terms of commutation properties of hamiltonian, but i simply don't see anymore this n quantum number, so i'm a bit confused about it.

Answer 1

The n quantum number is used to specify the principal energy level of an electron in configurations. However, when considering the total angular momentum of atoms, the n quantum number is not used. Instead, we focus on the l and m quantum numbers to determine the shape and orientation of the orbitals.

Step-by-step explanation:

The n quantum number is used in configurations to specify the principal energy level or shell of an electron. However, when we pass from configurations to atomic terms and consider the total angular momentum, the n quantum number is no longer used.

Instead, we focus on the angular momentum quantum number (l) and the magnetic quantum number (m). These quantum numbers determine the shape and orientation of the orbitals, which are important for understanding the behavior of electrons in atoms.