Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Question
Chapter 8, Problem 30E
To determine
Energy difference between the spin-up and spin-down states.
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A hydrogen atom in its ground state is subjected to an external magnetic field of 1.0 T. What is the energy difference between the spin-up and spin-down states?
A hydrogen atom in the n = 1, ms = - 1 2 state is placed in a magnetic field with a magnitude of 1.60 T in the +z@ direction.
(a) Find the magnetic interaction energy (in electron volts) of the electron with the field.
(b) Is there any orbital magnetic dipole moment interaction for this state? Explain. Can there be an orbital magnetic dipole moment interaction for n ≠ 1?
Suppose that an atom has (a) 4, (b) 5 electrons in different orbitals. What are the possible values of the total
spin quantum number S? What is the multiplicity in each case.
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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- (a) How many electrons can be in the n=4 shell? (b) What are its subshells, and how many electrons can be in each?arrow_forwardExplain how a hydrogen atom in the ground state (l = 0) can interact magnetically with an external magnetic field.arrow_forwardA beryllium ion with a single electron (denoted Be3+) is in an excited state with radius the same as that of the ground state of hydrogen. (a) What is n for the Be3+ ion? (b) How much energy in eV is needed to ionize the ion from this excited state?arrow_forward
- What are the possible polar orientations of the spin momentum vector for an electron?arrow_forward(a) How many electrons can be in the n = 4 shell? (b) What are its subshells, and how many elections can be in each?arrow_forwardThe ion Be3+ makes an atomic transition from an n =: 3 state to an n = 2 state, (a) What is the energy of the photon emitted during the transition? (b) What is the wavelength of the photon?arrow_forward
- An 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_forwardA hydrogen atom is placed in an external uniform magnetic field (B = 200 T). Calculate the wavelength of light produced in a transition from a spin up to spin down state.arrow_forwardThe ion Li2+ makes ail atomic transition from ail n = 4 state to ail n = 2 state, (a) What is the energy of the photon emitted during the transition? (b) What is the wavelength of the photon?arrow_forward
- The valence election of potassium is excited to a 5d state, (a) What is the magnitude of the election's orbital angular momentum? (b) How many states are possible along a chosen direction?arrow_forwardSpectral Analysis. While studying the spectrum of a gas cloud in space, an astronomer magnifies a spectral line that results from a transition from a p state to an s state. She finds that the line at 575.050 nm has actually split into three lines, with adjacent lines 0.0462 nm apart, indicating that the gas is in an external magnetic field. (Ignore effects due to electron spin.) What is the strength of the external magnetic field?arrow_forwardHydrogen atoms in interstellar gas clouds emit electromagnetic radiation at a wavelength of 21.0 cm when an electron in the ground state of hydrogen switches spin states. Determine the magnitude of the energy difference delta(E) between the two spin states in this transition. delta(E) = ? Jarrow_forward
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