photon energies produced in a of a cur- single circular loop of radius 0.1 nm (a typical atomic radius), how big is i? a sible transitions. (This means that the normal Ze effect always produces just three spectral lines, hc large the angular momenta involved.) 9.12 The energy of a magnetic moment field B pointing along the z axis is -u.B. For an elec- in a magnetic in orbit around a proton, u, is given by (9.35) as -(e/2me) L. If B 10 T (a large field by the stan- dards of most laboratories) and if the electron is in SECTION 9.5 (Spin Magnetic Moments) tron 9.18 The electron's total magnetic moment p is gi (9.25). (a) What are the possible values of p electron with / quan- of the state with L, ap 0? (b) Compare these with the = h, what is the magnetic energy due to the orbital magnetic moment (in joules and in eV)? of u, for a hypothetical spinless electron with / SECTION 9.6 (The Anomalous Zeeman Effect quan- ach of y lev- SECTION 9.4 (The Zeeman Effect) 9.19 .Consider a hydrogen atom in its groun placed in a magnetic field of 0.7 T along the difference between the 9.13 (a) Using the known SI values of e, h, and me, find the SI value of the Bohr magneton B eh/2me. (b) Given that the units ampere meter are the same thing as joule/tesla, find u in eV/tesla. (a) What is the energy and spin-down states? (b) An experimenter excite the atom from the lower to the upper e spin entum ctron, ctron, sending in photons of the appropriate energ is this? What is the wavelength? Wha eh/2me energy radiation is this? (Visible? UV? etc.) 9.14(a) Verify that the Bohr magneton B has the units of magnetic moment: namely, ampere meter. (b) Verify that the units ampere meter the same thing as joule/tesla. (Remember that the tesla is the unit of B field, defined by the Lorentz- force equation F = qv X B.) 9.15 A helium atom is in an energy level with one elec- tron occupying an s state (/ = 0) and the other an f 11 Consider a hydrogen atom in the 3d st L. = 2h and S. =h. How much does it change if it is placed in a magnetic field B 0. the z axis? Hint: The total magnetic moment i (9.25), and the energy are 9.20 same ntum. shift is AE =Pot B - of or- to its SECTION 9.7 (Fine Structure*) at the snins are antiparallel omic snectru

photon energies produced in a of a cur- single circular loop of radius 0.1 nm (a typical atomic radius), how big is i? a sible transitions. (This means that the normal Ze effect always produces just three spectral lines, hc large the angular momenta involved.) 9.12 The energy of a magnetic moment field B pointing along the z axis is -u.B. For an elec- in a magnetic in orbit around a proton, u, is given by (9.35) as -(e/2me) L. If B 10 T (a large field by the stan- dards of most laboratories) and if the electron is in SECTION 9.5 (Spin Magnetic Moments) tron 9.18 The electron's total magnetic moment p is gi (9.25). (a) What are the possible values of p electron with / quan- of the state with L, ap 0? (b) Compare these with the = h, what is the magnetic energy due to the orbital magnetic moment (in joules and in eV)? of u, for a hypothetical spinless electron with / SECTION 9.6 (The Anomalous Zeeman Effect quan- ach of y lev- SECTION 9.4 (The Zeeman Effect) 9.19 .Consider a hydrogen atom in its groun placed in a magnetic field of 0.7 T along the difference between the 9.13 (a) Using the known SI values of e, h, and me, find the SI value of the Bohr magneton B eh/2me. (b) Given that the units ampere meter are the same thing as joule/tesla, find u in eV/tesla. (a) What is the energy and spin-down states? (b) An experimenter excite the atom from the lower to the upper e spin entum ctron, ctron, sending in photons of the appropriate energ is this? What is the wavelength? Wha eh/2me energy radiation is this? (Visible? UV? etc.) 9.14(a) Verify that the Bohr magneton B has the units of magnetic moment: namely, ampere meter. (b) Verify that the units ampere meter the same thing as joule/tesla. (Remember that the tesla is the unit of B field, defined by the Lorentz- force equation F = qv X B.) 9.15 A helium atom is in an energy level with one elec- tron occupying an s state (/ = 0) and the other an f 11 Consider a hydrogen atom in the 3d st L. = 2h and S. =h. How much does it change if it is placed in a magnetic field B 0. the z axis? Hint: The total magnetic moment i (9.25), and the energy are 9.20 same ntum. shift is AE =Pot B - of or- to its SECTION 9.7 (Fine Structure*) at the snins are antiparallel omic snectru