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Why is the helium spectrum have so many more lines than the hydrogen spectrum?

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    I take we are taking about the visible spectra (Balmer Series)? The two spectra have similar number of lines as below, although some are very feint. That a line apears in the visible spectrum will depend on the separation of the energy levels. We do not see transitions to level 1 for hydrogen or helium because the energy is too high and these appear in the UV. At the other end of the visible spectrum the Paschen series appear in the infrared.

    Helium
    wavelengths (nm)
    438.793
    443.755
    447.148
    471.314
    492.193
    501.567
    504.774
    587.562
    667.815


    Hydrogen (nm) transition
    383.5384 9 -> 2 Violet
    388.9049 8 -> 2 Violet
    397.0072 7 -> 2 Violet
    410.174 6 -> 2 Violet
    434.047 5 -> 2 Violet
    486.133 4 -> 2 Bluegreen (cyan)
    656.272 3 -> 2 Red

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