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Neither a wavelength or frequency can be negative. It can be a bit confusing because in the Rydberg Equation the results can be negative or positive. This just expresses how the energy would be released (higher to lower energy level) or absorbed (lower to higher energy level).
Wavelength and frequency cannot be negative. Energy can sometimes turn out to be negative, such as when an electron transitions from a highter to a lower energy level. This is because energy is being released, but the wavelength and frequency are always positive.
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