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The difference between these series is the initial energy level that they begin with. For the Lyman series, the lower energy level is always n = 1, Balmar series is n = 2, Paschen series is n = 3, and Brackett series is n = 4. The final energy level can vary but the initial will always determine what series it comes from. I believe each series is also associated with a particular region of the light spectrum but I am not sure about who is related to which but the energy levels are correct.
I thought that they were defined by the final energy level not the initial so for the Lyman series it can start at any level but ends at level 1... can anyone clear this up??
The last comment is correct. Series are defined by the amount of energy they contain, and wavelengths in the Lyman series, for example, are grouped together because the light has enough energy to reduce an electron to its ground state (n=1). The Lyman series represents the UV spectrum, Balmer represents the visible light spectrum, and both the Paschen and Brackett series fall in the infrared spectrum.
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