What values are needed to determine the energy of an electron in a many‑electron atom?

The values that are needed to determine the energy of an electron in a many‑electron atom are;

Principal quantum numbers

Principal quantum numbersAzimuthal quantum numbers

The distribution of electrons in the atom are described primarily by quantum numbers. Now, there exists 4 types of quantum numbers namely;

1) Principal quantum number; This is represented by the symbol "n" and it is used to describe the size of the orbital of an atom.

2) Azimuthal quantum number; This is denoted by the symbol "l" and It is used to describe the shape of the orbital as well as its subparts.

3) Magnetic quantum number; This is denoted by the symbol ml and it is used to describe the orientation of an orbital in space.

4) Spin quantum number; This is denoted by the symbol "s" and it is used to describe the spin associated with electrons.

Now, among the 4 quantum numbers listed, only the first 2 are required to determine the energy of an electron in a many‑electron atom. This is because the third one describes only orientation in space while the fourth one describes only the spin.

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1 . Azimuthal quantum number

2. Principal quantum number

Explanation:

The energy of electrons can be determine by following number

1 . Azimuthal quantum number .This is denoted by l.

2. Principal quantum number .This is denoted by n.

If the energy of electrons is high then it means that it have high principal quantum number(n) and If the energy of electrons is low then it means that it have low principal quantum number(n).