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^{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!