## How many electrons in an atom could have these sets of quantum numbers?

Question

### Question:

How many electrons in an atom could have these sets of quantum numbers?

Quantum number n=3, l=2, ml=2, ms=−12

Only one electron in a given atom can have the set of quantum numbers given in the question.

Explanation:

No two electrons in an atom can have the same set of quantum numbers.
The first quantum number is the principle quantum number, which is n=3. This means the electron is in the third energy level (shell).
The second quantum number, the angular momentum, is l=2, and means the electron is in the d sublevel (subshell).
The third quantum number, the magnetic quantum number , ml=2, represents one of the five 3d orbitals.
Lastly, we have the spin quantum number, ms=−12. It indicates the direction of the spin of the electron.
Each electron in an atom has a unique set of quantum numbers.
The given quantum numbers for the electron in the question tell us that there is a high probability that the electron is in one of the 3d orbitals of the atom

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