Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Question
Chapter 9, Problem 12P
(a)
To determine
The spectroscopic notation for
(b)
To determine
The possible states of electron which have
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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, 1 = 0,1,2,..., n-1
Lz = m₂ħ,
m₁ = 0, ±1, ±2,..., ±l
3
S² = s(s+1)h² = h²,
4
Consider an excited electron (n > 1) on an H-atom.
Sz = msh
1
=+=ħ
Show that the minimum angle that the I can have with the z-axis is given by
n-1
n
L.min = cos
Clue: the angle a vector with magnitude V from the z-axis can be computed from cos 0 = V²/V
Which of the following is a permissable set of quantum numbers for an electron in a hydrogen atom? The atom may be in an excited state (ie. the electron need not be in its ground state).
a) n = 6, l = -5, ml = +4, ms = +1/2
b) n = 4, l = -2, ml = +2, ms = -1/2
c) n = 2, l = 2, ml = +1, ms = -1/2
d) n = 5, l = 1, ml = -1, ms = +1/2
e) n = 3, l = 2, ml = -2, ms = -1
In the quantum mechanical treatment of the hydrogen atom, which one of the following combinations of quantum numbers is not allowed?
a) n=3, l=0, ml=0
b) n=3, l=1, ml= -1
c) n=3, l=2, ml= 2
d) n=3, l=2, ml= -1
e) n=3, l=3, ml=2
Chapter 9 Solutions
Modern Physics
Ch. 9.2 - Prob. 1ECh. 9.3 - Prob. 2ECh. 9 - Prob. 1QCh. 9 - Prob. 2QCh. 9 - Prob. 3QCh. 9 - Prob. 4QCh. 9 - Prob. 5QCh. 9 - Prob. 6QCh. 9 - Prob. 7QCh. 9 - Prob. 8Q
Ch. 9 - Prob. 9QCh. 9 - Prob. 11QCh. 9 - For a one-electron atom or ion, spinorbit coupling...Ch. 9 - Prob. 14QCh. 9 - Prob. 1PCh. 9 - Prob. 2PCh. 9 - Prob. 4PCh. 9 - The force on a magnetic moment z in a nonuniform...Ch. 9 - Consider the original Stern–Gerlach experiment...Ch. 9 - Prob. 7PCh. 9 - Consider a right circular cylinder of radius R,...Ch. 9 - Prob. 9PCh. 9 - Prob. 10PCh. 9 - Prob. 11PCh. 9 - Prob. 12PCh. 9 - Prob. 13PCh. 9 - Prob. 14PCh. 9 - Prob. 15PCh. 9 - Prob. 16PCh. 9 - Prob. 17PCh. 9 - Prob. 18PCh. 9 - Prob. 21PCh. 9 - Prob. 22PCh. 9 - Prob. 23PCh. 9 - Prob. 24PCh. 9 - Prob. 25P
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