87 Rubidium Rb is an alkali atom. The wavelengths of the first fine structure doublet are 780.0 nm

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87 Rubidium Rb is an alkali atom. The wavelengths of the first fine structure doublet are 780.0 nm (D2 line) and 795 nm (D1 line). 87Rb has a nuclear spin I = 3/2. (i) Ignoring the hyperfine structure, draw an energy level diagram (for zero magnetic field) for the rubidium D2 and D1 lines, using appropriate spectroscopic notation and showing the various quantum numbers (n, I and j), - the energy level designations, the D2 and D1 transitions between the appropriate levels. Calculate the fine structure splitting of the excited levels (in cm'¹). (ii) Draw an energy level diagram showing the hyperfine levels of the ground state and the first two (fine structure) excited states Write the F number for each hyperfine state. Calculate the splitting of the hyperfine levels (the frequency separation) in the ground state using the hyperfine interaction constant A = 3417 MHz. Show the electric-dipole allowed transitions between the hyperfine levels in the ground and the excited states. 87 Rubidium Rb is an alkali atom. The wavelengths of the first fine structure doublet are 780.0 nm (D2 line) and 795 nm (D1 line). 87Rb has a nuclear spin I = 3/2. (i) Ignoring the hyperfine structure, draw an energy level diagram (for zero magnetic field) for the rubidium D2 and D1 lines, using appropriate spectroscopic notation and showing the various quantum numbers (n, I and j), - the energy level designations, the D2 and D1 transitions between the appropriate levels. Calculate the fine structure splitting of the excited levels (in cm'¹). (ii) Draw an energy level diagram showing the hyperfine levels of the ground state and the first two (fine structure) excited states Write the F number for each hyperfine state. Calculate the splitting of the hyperfine levels (the frequency separation) in the ground state using the hyperfine interaction constant A = 3417 MHz. Show the electric-dipole allowed transitions between the hyperfine levels in the ground and the excited states.

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Solution The ground state configuration of 87 Rb is 1s 2 2s ... View the full answer