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## Main Question or Discussion Point

I am trying to calculate the Lyman-alpha wavelengths of photons emitted from different hydrogen-like atoms such as deuterium and positive helium ion

My question is: what changes in these two expressions when we are dealing with different hydrogen-like atoms?replace electron mass m

Any help will be appreciated!

^{4}He^{+}, using the relation 1/λ = R*|1/n_{i}^2 - 1/n_{f}^2|, where R is the Rydberg constant and n_{i}and n_{f}are integer numbers corresponding to the initial and final energy levels, which, for Lyman-alpha wavelength, are 2 and 1, respectively. The expression for Rydberg constant is R = m_{e}/(4πħ^{3}c)*(e^{2}/4π*ε*)_{0}^{2}.My question is: what changes in these two expressions when we are dealing with different hydrogen-like atoms?replace electron mass m

_{e}with new reduced mass μ? atomic number Z (but it is not included in any of the two expressions)?Any help will be appreciated!