If n and l are respectively the principa...

If n and l are respectively the principal and azimuthal quantum numbers, then the expression for the calculation of the total no. of electrons in any energy level is

`sum_(l=0)^(l=n)2(2l+1)`

`sum_(l=n+1)^(l=n-1)2(2l+1)`

`sum_(l=0)^(l=n+1)2(2l+1)`

`sum_(l=0)^(l=n-1)2(2l+1)`

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Verified by Experts

No. of sub-shells in `n^("th")` shell = 0 to n- 1. No of orbitals in a sub-shell = 2 l + l. No. of electrons in each orbital = 2. Hence no. of `e^(-)` in `n^("th")` shell
`=sum_(l=0)^(l=n-1)2(2l+1)`

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If n and l are respectively the principal and azimuthal quantum numbers, then the expression for the calculation of the total no. of electrons in any energy level is

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