Derive the expression for the transition energy ΔE(n2-n1)

The first lines in the Lyman series for H and D are 82,259.098 cm-1 and 82,281.476 cm-1 respectively. The expression for the energy for hydrogenic atoms with quantum number n is E_n = -(mue^4)/(32pi^2epsilon^2h^2) * (1/n^2) Where I have substituted the more correct reduced mass mu of the atom for the electron mass m_e.a) Derive the expression for the transition energy ΔE(n2-n1).b) What are the units of ΔE for mu in units of kilograms?c) Transform the expression for ΔE into units of wave numbers {cm-1}.d) Given the transition frequencies above calculate the ratio of the deuteron mass to the proton mass.e) Calculate the ratio of the ionization energies of D and H from their ground states.f) Calculate the distance of the deuteron from the center of mass of the D-atom and compare with the distance of the proton from the center of mass of the H-atom.

Order your essay today and save 30% with the discount code: KIWI20