The Electron Configuration: Quantum Numbers Video Lessons

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Problem: Suppose you take a trip to a distant universe and find that the periodic table there is derived from an arrangement of quantum numbers different from the one on Earth. The rules in that universe are:1. principal quantum number n = 1, 2, . . . (as on Earth);2. angular momentum quantum number l = 0, 1, 2,. . . , n – 1 (as on Earth);3. magnetic quantum number ml = 0, 1, 2, . . . , l (only positive integers up to and including l are allowed);4. spin quantum number ms = –1, 0, 1 (that is, three allowed values of spin).(a) Assuming that the Pauli exclusion principle remains valid, what is the maximum number of electrons that can populate a given orbital?(b) Write the electronic configuration of the element with atomic number 8 in the periodic table.(c) What is the atomic number of the second noble gas?

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The Pauli Exclusion Principle states that, in an atom or molecule, no two electrons can have the same four electronic quantum numbers.


(a) Assuming that the Pauli exclusion principle remains valid, what is the maximum number of electrons that can populate a given orbital?


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Problem Details

Suppose you take a trip to a distant universe and find that the periodic table there is derived from an arrangement of quantum numbers different from the one on Earth. The rules in that universe are:

1. principal quantum number n = 1, 2, . . . (as on Earth);
2. angular momentum quantum number l = 0, 1, 2,. . . , n – 1 (as on Earth);
3. magnetic quantum number ml = 0, 1, 2, . . . , l (only positive integers up to and including l are allowed);
4. spin quantum number ms = –1, 0, 1 (that is, three allowed values of spin).

(a) Assuming that the Pauli exclusion principle remains valid, what is the maximum number of electrons that can populate a given orbital?
(b) Write the electronic configuration of the element with atomic number 8 in the periodic table.
(c) What is the atomic number of the second noble gas?

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