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Actually it is quite simple. If you are familier with the basics of the quantum theory you can see that the number of orbitals for any given principle quantum number is n^2. Since one orbital can carry a maximum of 2 electrons, the total number of electrons for a principle quantum number is 2 x n^2 = 2n^2

If you are unfamilier with quantum theory. It can be simplified like so - we know that electrons are present in three dimensional energy levels (orbitals). Each of these energy levels have may many sub orbitals. for example for the 1st energy level the number of sub orbitals is n^2 (n square) that is 1 x 1 = 1. then the total number of electrons for this energy level is 2n^2 = 2 x 1^2 = 2.

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Q: From were the formula 2n square to determine the number of electrons derived?
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How can Lewis theory be used to determine the formula or ionic compounds?

"To use Lewis theory to determine the formula of an ionic compound, determine the number of valence electrons lost by the metal to form an octet, and the number of electrons gained by the nonmetal to form an octet." Refer the link below for further reading.


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