# 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. Free solution >> 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. Free solution >> 6.105. Find the possible values of total angular momenta of atoms in the states 4P and 5D. Free solution >> 6.106. Find the greatest possible total angular momentum and the corresponding spectral designation of the term (a) of a Na atom whose valence electron possesses the principal quantum number n = 4; (b) of an atom with electronic configuration 1s22p3d. Free solution >> 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? Free solution >> 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. Free solution >> 6.122. Using the Hund rules, write the spectral symbol of the basic term of the atom whose only partially filled subshell (a) is filled by 1/3, and S = 1; (b) is filled by 70%, and S = 3/2. Free solution >> 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. Free solution >> 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. Free solution >> 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. Free solution >> 6.144. Calculate the Lande g factor for the following terms: (a) 6F1/2; (b) 4D1/2; (c) 5F2; (d) 5P1; (e) 3P0. Free solution >> 6.145. Calculate the magnetic moment of an atom (in Bohr magnetons) (a) in 1F state; (b) in 2D3/2 state; (c) in the state in which S = 1, L = 2, and Lande factor g = 4/3. Free solution >> 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? Free solution >> 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. Free solution >> 6.156. Into what number of sublevels are the following terms split in a weak magnetic field: (a) 3P0; (b) 2F5/2; (c) 4D1/2? Free solution >> 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: (a) 1P → 1S; (b) 2D5/2 → 2P3/2; (c) 3D1 → 3P0; (d) 5I5 → 5H4? Free solution >>