Irodov Solutions → Atomic and Nuclear Physics → Properties of Atoms. Spectra
6.97. The binding energy of a valence electron in a Li atom in the states 2S and 2P is equal to 5.39 and 3.54 eV respectively. Find the Rydberg corrections for S and P terms of the atom.
6.100. Determine the wavelengths of spectral lines appearing on transition of excited Li atoms from the state 3S down to the ground state 2S. The Rydberg corrections for the S and P terms are -0.41 and -0.04.
6.105. Find the possible values of total angular momenta of atoms in the states 4P and 5D.
6.106. Find the greatest possible total angular momentum and the corresponding spectral designation of the term
6.108. An atom is in the state whose multiplicity is three and the total angular momentum is ħ sqrt(20). What can the corresponding quantum number L be equal to?
6.114. Find out which of the following transitions are forbidden by the selection rules: 2D3/2 → 2P1/2, 3P1 → 2S1/2, 3F3 → 3P2, 4F7/2 → 4D5/2.
6.122. Using the Hund rules, write the spectral symbol of the basic term of the atom whose only partially filled subshell
6.133. Find the wavelength of the Kα line in copper (Z = 29) if the wavelength of the Kα line in iron (Z = 26) is known to be equal to 193 pm.
6.136. Find the voltage applied to an X-ray tube with nickel anticathode if the wavelength difference between the Kα line and the short-wave cut-off of the continuous X-ray spectrum is equal to 84 pm.
6.138. When the voltage applied to an X-ray tube increased from V1 = 10 kV to V2 = 20 kV, the wavelength interval between the Kα line and the short-wave cut-off of the continuous X-ray spectrum increases by a factor n = 3.0. Find the atomic number of the element of which the tube's anticathode is made.
6.144. Calculate the Lande g factor for the following terms:
6.145. Calculate the magnetic moment of an atom (in Bohr magnetons)
6.148. A valence electron in a sodium atom is in the state with principal quantum number n = 3, with the total angular momentum being the greatest possible. What is its magnetic moment in that state?
6.151. A certain atom is in the state in which S = 2, the total angular momentum M = sqrt(2)ħ, and the magnetic moment is equal to zero. Write the spectral symbol of the corresponding term.
6.156. Into what number of sublevels are the following terms split in a weak magnetic field:
6.158. What kind of Zeeman effect, normal or anomalous, is observed in a weak magnetic field in the case of spectral lines caused by the following transitions: