The emission spectrum below is for hydrogen atoms in the gas phase. The spectrum is of the first few emission lines from principal quantum number 6 down to all possible lower levels.

As discussed in Are You Wondering 8-6, not all possible de-excitations are possible; the transitions are governed by selection rules. Using the selection rules from Are You Wondering 8-6, identify the transitions, in terms of the types of orbital (s, p, d, ƒ), involved, that are observed in the spectrum shown above. In the presence of a magnetic field, the lines split into more lines according to the magnetic quantum number. Using the selection rule for m_ℓ, identify the line(s) in the spectrum that split(s) into the greatest number of lines.

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Increasing wavelength, Increasing wavelength, 2