Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 29, Problem 17P
To determine

The maximum value of the z component of the angular momentum.

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The energy of a hydrogen atom is 12.09 eV above its groundstate energy. As a multiple of h, what is the largest angular momentum that this atom could have?
Angular momentum and Spin. An electron in an H-atom has orbital angular momentum magnitude and z-component given by L² = 1(1+1)ħ², L₂ = m₂h, 1 = 0,1,2,..., n-1 m₁ = 0, +1, +2, ..., ±l 3 1 S² = s(s+1)h²=h², S₂ = m₂h = + = h +/-ħ 4 Consider an excited electron (n > 1) on an H-atom. What is the minimum angle 0min that the S can have with the z-axis? Clue: the angle a vector with magnitude V from the z-axis can be computed from cos 0 = V²/V
How many distinct angles from the vertical axis can the orbital angular momentum vector L make for an electron with l = 7?

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Principles of Physics: A Calculus-Based Text

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