What information is needed to determine the energy of an electron in a many-electron atom?

The main quantum number and the azimuthal quantum number

Explanation:

According to the current model of the atom, it has a central nucleus with electrons orbiting around. These orbits are located at different energy levels that are related to the distance from the electron to the nucleus.

In this sense, the main quantum number, identified by , gives information about the orbital energy level of the electron; while the azimuthal quantum number (or orbital quantum number) determines the orbital angular momentum and describes it's shape.

It should be noted that the values of will always be positive integer numbers, for example: 1, 2, 3, 4, 5, 6,7. Although theoretically its value oscillates between 1 and infinity, until now only atoms whose maximum energetic level is 8 are known. In addition, determines the total number of energy sub-levels in a given energy level, this is helpful to find to which subshell does an  electron belongs.

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