   Chapter 30, Problem 50PE

Chapter
Section
Textbook Problem

(a) Using the Pauli exclusion principle and the rules relating the allowed values of the quantum numbers ( n , l , m l , m s ) , prove that the maximum number of electrons in a subshell is 2n2.(b) In a similar manner, prove that the maximum number of electrons in a shell is 2n2.

To determine

(a)

To prove:

That the maximum number of electrons in a subshell is 2n2

Explanation

Given Data:

Using the Pauli exclusion principle and the rules relating the allowed values of the quantum number (n,l,ml,ms) ,

Formula Used:

The Pauli Exclusive principle states that two or more identical particles cannot occupy the same quantum state simultaneously.

Calculation:

l denotesazimuthal quantum number.

And the value of l is different for different orbitals.

For s orbital, l=0 and for p orbital, l=1

Also, Magnetic quantum number enables to find out the number of orbitals in the shell

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