1. The Zeeman effect refers to the splitting of certain orbitals when the atom is placed in an external magnetic field. In the absence of an external field (and neglecting spin-orbit coupling) all the I states corresponding to a particular n state have the same energy – this phenomenon is referred to as degeneracy. A magnetic field partially "lifts" this degeneracy by causing each l 0 state to split into 21 +1 substates denoted by mi, with the modified energy given by the formula -13.6 En.m = eV + m¡UgB n2 where ug = 5.78 * 10-5eV/T. a. Sketch the n=2 and n=1 energy levels, including the splitting caused by the magnetic field and compute the energy of the photon that would be emitted when the electron makes a 2p→1s transition if the atom is in a field of 50000 T

1. The Zeeman effect refers to the splitting of certain orbitals when the atom is placed in an external magnetic field. In the absence of an external field (and neglecting spin-orbit coupling) all the I states corresponding to a particular n state have the same energy – this phenomenon is referred to as degeneracy. A magnetic field partially "lifts" this degeneracy by causing each l 0 state to split into 21 +1 substates denoted by mi, with the modified energy given by the formula -13.6 En.m = eV + m¡UgB n2 where ug = 5.78 * 10-5eV/T. a. Sketch the n=2 and n=1 energy levels, including the splitting caused by the magnetic field and compute the energy of the photon that would be emitted when the electron makes a 2p→1s transition if the atom is in a field of 50000 T