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Back to 30.9 The Pauli Exclusion Principle

30.9 Exercise 9

Avg difficulty 2.5

(a) Using the Pauli exclusion principle and the rules relating the allowed values of the quantum numbers n,l,ml,ms\left(n , l , m_{l} , m_{s}\right), prove that the maximum number of electrons in a subshell is 2n22 n^{2}.

(b) In a similar manner, prove that the maximum number of electrons in a shell is 2n2.

OpenStax College Physics 2e, 30.9 The Pauli Exclusion Principle, exercise 9

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Adapted from College Physics © 2022 Rice University. Licensed under CC BY 4.0. Sources: College Physics 2e, College Physics for AP® Courses 2e. Imported at revision f98d7a7.