Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 9.3, Problem 2E
To determine
The magnitude of magnetic field.
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The energy difference between the two levels arising from the spin-orbit coupling in a d-orbital is 0.6463 eV. Consider the splitting for one electron.
Calculate the spin-orbit coupling constant in cm-1. please show all calculations.
What atom could that be? (Hint: calculate the spin-orbit coupling constant in Ry and look for a matching number in the last column that provides experimental values)
constant :
1 eV = 1.60217646 × 10-19 J
1Ry = 2.1798741 × 10-18 J
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(gL, orbital multiplier proton = 1, neutron = 0, Nuclear Magneton, µN=3.15254X10-8eV/T gS, spin multiplier proton=5.5856912 and neutron =-3.826083, Spin, Sp=1/2, Sec=1)
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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- What is spin-orbit coupling?arrow_forwardFor a 3d electron in an external magnetic field of 2.50 × 10-3 T, find (a) the current associated with the orbital angular momentum, and (b) the maximum torque.arrow_forwardFind the minimum torque magnitude that acts on the orbital magnetic dipole of a 3p electron in an external magnetic field of 2.50 × 10-3 T.arrow_forward
- What are the possible polar orientations of the spin momentum vector for an electron?arrow_forwardEstimate the ratio of the electron magnetic moment to the moment magnetic moment for the same state of orbital angular momentum. (Hint: m=105.7 )arrow_forwardAn election in a hydrogen atom is in 3p state. Find the smallest angle the magnetic moment makes with the z-axis. (Express your answer in terms of µB.)arrow_forward
- Explain how a hydrogen atom in the ground state (l = 0) can interact magnetically with an external magnetic field.arrow_forwardCheck Your Understanding If the Stem-Gerlach experiment yielded four distinct bands instead of two, what might be concluded about the spin quantum number of the charged particle?arrow_forwardWrite an expression for the total number of states with orbital angular momentum l.arrow_forward
- Find die magnitude of the orbital magnetic dipole moment of the election in in the 3p state. (Express your answer in terms of µB.)arrow_forwardElectrons in a hydrogen atom are in a 3d excitation state in transition. radiative to an energy level of 2p, without taking into account the spin orbital interaction,i) Indicate the separation of 3d and 2p energy levels if you are in space without and with an outer magnetic field B in one energy level diagramii) State the allowed transition terms and show them in the diagram energy levels above.iii) Energy emitted if the outer magnetic field B = 0iv) Energy emitted if in a space with a magnetic field B = 1 TPlease solve number 1arrow_forward
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