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The first equation is used to calculate the frequency of the emitted light when electrons transition between energy levels. When light is absorbed, the transition is up to a higher energy level. When light is emitted, the transition is down to a lower energy level. The calculation is always done using (final energy level)- (initial energy level). The second equation is used to calculate the energy at a specific energy level n. However, it can be incorporated into calculating energy transitions. deltaE= Ef-Ei (deltaE= (-hR/n1^2) - (-hR/n2^2). Note that these equations only apply for the hydrogen atom.
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