A quantum system has four energy states that we know of. One of them is a high-energy 4F state and three others are grouped together at lower energy. We know that the lower energy states are all 4D states.

A) Identify the total number of orbitals associated with the 4F state.
B) Determine the total number of electrons that can occupy the 4D states.
C) Calculate the energy difference between the highest energy 4F state and the lowest energy 4D state.
D) Explain the significance of the term 4F in the context of atomic structure.