Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Chapter 8, Problem 78E
To determine
The total orbital
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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
The electron in a certain hydrogen atom has an angular momentum of 2.583×10−34 J.s. What is the largest possible magnitude for the
z-component of the angular momentum of this electron?
For accuracy, use h=6.626×10−34 J⋅s. find Number Units
How many electrons can occupy the system with l=0, l=2 and l=4. What is number of possible orientations of the orbital angular momentum with l=4? What is the smallest z-component of the orbital angular momentum?
Chapter 8 Solutions
Modern Physics
Ch. 8 - A dipole without angular momentum can simply...Ch. 8 - Prob. 2CQCh. 8 - Prob. 3CQCh. 8 - Prob. 4CQCh. 8 - Prob. 5CQCh. 8 - Prob. 6CQCh. 8 - Prob. 7CQCh. 8 - Prob. 8CQCh. 8 - Prob. 9CQCh. 8 - Prob. 10CQ
Ch. 8 - Prob. 11CQCh. 8 - Prob. 12CQCh. 8 - Prob. 13CQCh. 8 - Prob. 14CQCh. 8 - Prob. 15CQCh. 8 - Lithium is chemically reactive. What if electrons...Ch. 8 - Prob. 17CQCh. 8 - Prob. 18CQCh. 8 - Prob. 19CQCh. 8 - Prob. 20CQCh. 8 - Prob. 21CQCh. 8 - Prob. 22CQCh. 8 - Prob. 23CQCh. 8 - The total-spin singlet state for two electrons has...Ch. 8 - Prob. 25ECh. 8 - Prob. 26ECh. 8 - Show that the frequency at which an electron’s...Ch. 8 - Prob. 28ECh. 8 - Prob. 29ECh. 8 - Prob. 30ECh. 8 - Prob. 31ECh. 8 - Prob. 33ECh. 8 - Prob. 34ECh. 8 - Prob. 35ECh. 8 - Prob. 36ECh. 8 - Prob. 37ECh. 8 - Prob. 38ECh. 8 - Prob. 39ECh. 8 - Prob. 41ECh. 8 - Prob. 42ECh. 8 - The Slater determinant is introduced in Exercise...Ch. 8 - Prob. 44ECh. 8 - Exercise 44 gives an antisymmetricmultiparticle...Ch. 8 - Prob. 46ECh. 8 - Prob. 48ECh. 8 - Write the electronic configurations for...Ch. 8 - Prob. 50ECh. 8 - Prob. 51ECh. 8 - Prob. 52ECh. 8 - Prob. 53ECh. 8 - Prob. 54ECh. 8 - Prob. 55ECh. 8 - Prob. 56ECh. 8 - Prob. 57ECh. 8 - Prob. 58ECh. 8 - Prob. 59ECh. 8 - The well-known sodium doublet is two yellow...Ch. 8 - Prob. 61ECh. 8 - Prob. 62ECh. 8 - Prob. 64ECh. 8 - Prob. 65ECh. 8 - Prob. 66ECh. 8 - Prob. 67ECh. 8 - Prob. 68ECh. 8 - Prob. 69ECh. 8 - Prob. 70ECh. 8 - Repeat Example 8.6, but assume that the upper...Ch. 8 - Prob. 72ECh. 8 - Prob. 73ECh. 8 - Prob. 74ECh. 8 - Using J2=L2+S2+2LS to eliminate LS , as well as...Ch. 8 - A hydrogen atom is subjected to a magnetic field...Ch. 8 - Prob. 77ECh. 8 - Prob. 78ECh. 8 - Prob. 79ECh. 8 - Prob. 80ECh. 8 - Prob. 81ECh. 8 - As is done for helium in Table 8.3, determine for...Ch. 8 - Prob. 83CECh. 8 - Prob. 84CECh. 8 - Prob. 85CE
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