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Enumerate the quantum numbers (n, ., and m) for all the

An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder ISBN: 9780201380279 40

Solution for problem 21P Chapter A

An Introduction to Thermal Physics | 1st Edition

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An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder

An Introduction to Thermal Physics | 1st Edition

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Problem 21P

Problem 21P

Enumerate the quantum numbers (n, ., and m) for all the independent states of a hydrogen atom with definite , and Lz, up to n = 3. Check that the number of independent states for level n is equal to n2

Step-by-Step Solution:

Step 1

In each case, we start with the smallest value of n, ℓ, or m possible. Make sure you look over the rules to see how each value was arrived at. ℓ starts at zero and goes to n-1, which is zero since we get 1-1 = 0, when using n = 1. When ℓ = 0, there is only one possible choice for m, which must be zero.

No two electrons can have an identical set of quantum numbers according to the Pauli exclusion principle , so the quantum numbers set limits on the number of electrons which can occupy a given state and therefore give insight into the building up of the periodic table of the elements.

n is principal quantum number

l is orbital quantum number

m is magnetic quantum number

Step 2 of 5

Chapter A, Problem 21P is Solved
Step 3 of 5

Textbook: An Introduction to Thermal Physics
Edition: 1
Author: Daniel V. Schroeder
ISBN: 9780201380279

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