Which of the following is not a permissible set of quantum numbers for an electron-n - 4- nbsp-l - 3- nbsp-ml - 0 nbsp-n - 4- nbsp-l - 2- nbsp-ml - 1n - 4- nbsp-l - 4- nbsp-ml - 1n - 4- nbsp-l - 0- nbsp-ml - 0

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Electronic Configuration

Which of the ...

Question

Which of the following is not a permissible set of quantum numbers for an electron?

n = 4,

l

= 3,

m_{l}

= 0

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n = 4,

l

= 2,

m_{l}

= 1

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n = 4,

l

= 4,

m_{l}

= 1

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n = 4,

l

= 0,

m_{l}

= 0

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Solution

The correct option is C n = 4, $l$ = 4, $m_{l}$ = 1
Each electron of an atom can be described by four quantum numbers-
$∙$ Principle quantum number (n)
$∙$ Azimuthal quantum number ( $l$ )
$∙$ Magnetic quantum number ( $m_{l}$ )
$∙$ Spin quantum number ( $m_{s}$ )

The possible values of azimuthal quantum number for a given value of n is given by ( $l$ ) = 0,1,2,3, ….., (n – 1)

Also, the permissible values of magnetic quantum number ranges from - $l$ to + $l$ .

When n = 4,
$l$ = 0, 1, 2, 3
and $m_{l}$ = -3, -2,-1, 0, 1 ,2, 3

Therefore, option: n = 4, l = 4, $m_{l}$ = 1 is not possible because l=4 is not permissible for n=4.

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