What are the orbitals corresponding to l=0 through l=4?

The correct answer identifies the types of atomic orbitals associated with specific angular momentum quantum numbers, denoted by ( l ). Each value of ( l ) corresponds to a specific type of orbital:

• When ( l = 0 ), the orbital is an s-orbital. These have a spherical shape and can hold up to two electrons.

• When ( l = 1 ), the orbital is a p-orbital. These are dumbbell-shaped and can accommodate up to six electrons (three degenerate orbitals).

• When ( l = 2 ), the orbital is a d-orbital. These can hold a total of ten electrons (five degenerate orbitals).

• When ( l = 3 ), the orbital is an f-orbital. This type can hold up to fourteen electrons (seven degenerate orbitals).

• Finally, when ( l = 4 ), the corresponding orbital is a g-orbital, which is not typically occupied in the ground state of elements but can hold a maximum of eighteen electrons (nine degenerate orbitals).

Understanding these associations is crucial in predicting the electron configuration of elements and the structure of their atoms. This systematic correspondence provides insight into the arrangement of electrons