Chapter 7, Problem 16P

For 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.

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.)

Write the election configuration for iron.

If the magnetic moment in the preceding problem is doubled, what happens to the frequency of light produced in a transition from a spin-up to spin-down state?

For a one-electron atom or ion, spinorbit coupling splits all states except s states into doublets. Why are s states exceptions to this rule?

For a helium atom in its ground state, what are quantum numbers (n,L, mL and nL ) for the (a) spin-up electron and (b) spindown electron?

What would the wavelength in m of the emitted radiation be if a hydrogen atom was placed in an external uniform magnetic field of 240 T and transitioned from a spin-up to a spin-down state?

Consider a hydrogen atom in a large magnetic field. Compute the wavelengths of the photons when it transitioned from the 2p → 1s levels when the hydrogen atom is placed in a magnetic field of 2.00 Tesla. In total, consider the three transitions L=1 (2p) to L=0 (1s) associated with the three states ?ℓ= −1, 0, +1. Draw the energy levels for B=0 T and B=2 T. Ignore the effects of the intrinsic electron’s spin angular momentum and only consider the effect of the orbital angular moment L on the energy levels.

Calculate the magnitude of the maximum orbital angular momentum Lmax for an electron in a hydrogen atom for states with a principal quantum number of 156. Express your answer in units of ℏ to three significant figures.