Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Chapter 5.2, Problem 5.19P
To determine
The total spin, total orbital, grand total
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A hydrogen atom is in the 4d state.
a) What is the magnitude of the orbital angular momentum?
b) Calculate the possible values of the total angular momentum quantum number.
c) Calculate the magnitude of the total angular momentum for each value in (b).
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?
In atomic physics a term means
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a All electronic configurations of an atom with the same values of {n, 1} (list of shell and subshells occupied)
b
с
d
e
All configurations with the same {n, 1} and total orbital angular momentum quantum number L
All configurations with the same {n, l}, the same L and the same total spin quantum number S
All configurations with the same {n, l}, the same L, S and the same total angular momentum quantum number J
All configurations with the same {n, l}, and the same L, S, Jand the same total angular momentum along an axis with quantum
number MJ
Chapter 5 Solutions
Introduction To Quantum Mechanics
Ch. 5.1 - Prob. 5.1PCh. 5.1 - Prob. 5.2PCh. 5.1 - Prob. 5.3PCh. 5.1 - Prob. 5.4PCh. 5.1 - Prob. 5.5PCh. 5.1 - Prob. 5.6PCh. 5.1 - Prob. 5.8PCh. 5.1 - Prob. 5.9PCh. 5.1 - Prob. 5.10PCh. 5.1 - Prob. 5.11P
Ch. 5.2 - Prob. 5.12PCh. 5.2 - Prob. 5.13PCh. 5.2 - Prob. 5.14PCh. 5.2 - Prob. 5.15PCh. 5.2 - Prob. 5.16PCh. 5.2 - Prob. 5.17PCh. 5.2 - Prob. 5.18PCh. 5.2 - Prob. 5.19PCh. 5.3 - Prob. 5.20PCh. 5.3 - Prob. 5.21PCh. 5.3 - Prob. 5.22PCh. 5.3 - Prob. 5.23PCh. 5.3 - Prob. 5.24PCh. 5.3 - Prob. 5.25PCh. 5.3 - Prob. 5.26PCh. 5.3 - Prob. 5.27PCh. 5 - Prob. 5.29PCh. 5 - Prob. 5.30PCh. 5 - Prob. 5.31PCh. 5 - Prob. 5.32PCh. 5 - Prob. 5.33PCh. 5 - Prob. 5.34PCh. 5 - Prob. 5.35PCh. 5 - Prob. 5.36PCh. 5 - Prob. 5.38PCh. 5 - Prob. 5.39P
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- The valence election of chlorine is excited to a 3p state, (a) What is the magnitude of the election's orbital angular momentum? (b) What are possible values for the z-component of angular’ measurement?arrow_forwardWhat are the possible values of m for an electron in the n = 4 state?arrow_forward3. eV. Consider an atom of triply ionized beryllium Be³+ with an energy of -9.704 (a) List all the possible states, excluding spin, of the hydrogen atom with this energy. (b) What is the degree of degeneracy? (c) What is the maximum possible angular momentum L (as a multiple of ħ)?arrow_forward
- The energy levels of hydrogen atom (including fine structure term ) takes the following form a? 1+ 13.6ev п 3 E j+1/2 4 n° Write down the energy levels for the state n=3arrow_forwardThe electron in a hydrogen atom occupies the orbital state |2, -1> and the spin state |1/2, -1/2>. what are the possible states? a. None O b. [5/2,-1/2> and 13/2,-3/2> O c. [5/2,-1/2> and |3/2,-1/2> O d. [5/2,-3/2> and |3/2,-1/2> e. [5/2,-3/2> and |3/2,-3/2>arrow_forwardWe want to look at the angular momentum structure of one electronic level of an atom. a. The atom has orbital angular momentum L, electron spin angular momentum S and nuclear angular momentum I. For very large magnetic fields B, what are the quantum numbers and energies? b. In addition to the static B field along the z axis, we add a transverse oscillating magnetic field. Which states are now coupled by the oscillating field, i.e. between which states are transitions induced?arrow_forward
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- In another universe, the electron is a spin@3/2 rather than a spin@1/2 particle, but all other physics are the same as in our universe. In this universe what is the ground-state electron configuration of sodium?arrow_forwardA hydrogen atom is in the stationary state (n, I, m) = (5, 3, 1) What is the angle between the angular momentum vector L and Lz? Give you answer to 3 significant figures and in units of degrees, but do not include the units in your answer.arrow_forwardAngular 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/Varrow_forward
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