Why are the electronic configuration numbers the way they are? 2,8,18,32 ...so on- how were they determined?

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Answer 1 · 2018-02-15T12:15:09

Bohr's Model.

As Niels Bohr suggested that electrons will Fill up the shells according to the principal quantum number.

So, for K shell, the principal quantum number( $n$ ) is 1.

So, maximum electrons which can fill the cells are $2n^2$ = $2(1)^2$ = $2$ .

For L shell, maximum electrons = $2(2)^2$ = $8$

For M shell, maximum electrons = $2(3)^2$ = $18$

For N shell, maximum electrons = $2(4)^2$ = $32$

And So On.

But this doesn't mean that electrons will fill up from K to L.

It depends upon Azimuthal Quantum Number and Aufbau Principle.

Hope this helps.