The Paschen series arises from hydrogen electron transitions ending at energy level n=3. These electrons are falling to the 2nd energy level from higher ones. Paschen series (Bohr series, nâ² = 3) Named after the German physicist Friedrich Paschen who first observed them in 1908. Jahann Balmer in 1885 derived an equation to calculate the visible wavelengths that the hydrogen spectrum displayed. Convert the wavelength to meters and use the Rydberg wavelength equation to â¦ Example \(\PageIndex{1}\): The Lyman Series. asked May 15, 2019 in Chemistry by Ruksar (68.7k points) The ratio of the shortest wavelength of two spectral series of hydrogen spectrum is found to be about 9. The Rydberg's formula for the hydrogen atom is Where R is Rydberg constant for the Hydrogen atom and equals to 1.1 10 7 m -1 For shortest wavelength in Paschen Series n 1 =2 and n 2 = The shortest wavelength in Paschen Series is therefore 818 nm. In the below diagram we can see the three of these series laymen, Balmer, and Paschen series. Paschen Series Article 2020 â more Check out Paschen Series reference- you may also be interested in Paschen Series Wavelengths and on Paschen Series Formula . The spectral series are : (1) Paschen and Pfund Calculate the wavelength of the lowest-energy line in the Lyman series to three significant figures. the shortest line in the Brackett series has a wavelength that falls among the Paschen series. Wavelength (nm) Relative Intensity: Transition: Color or region of EM spectrum: Lymann Series: 93.782 ... 6 -> 1 : UV: 94.976 ... 5 -> 1 : UV: 97.254 ... 4 -> 1 The Paschen lines all lie in the infrared band. The so-called Lyman series of lines in the emission spectrum of hydrogen corresponds to transitions from various excited states to the n = 1 orbit. The Paschen series is made up of the transitions to the 3-level, but they are omitted to avoid cluttering the diagram. This series overlaps with the next (Brackett) series, i.e. The lines that appear at 410 nm, 434 nm, 486 nm, and 656 nm. But we can also use wavelength to represent the emission spectrum. (image will be uploaded soon) Relation Between Frequency and Wavelength. Shortest wavelength refers to the highest energy (E= hc/wavelength) This would represent a transition from the continuum to the n=1 layer (Lyman series) or from continuum to n=3 for the Paschen series. I suspect this part of the question refer any transition that releases the highest energy (which would be part of the Lyman series) The significance of the numbers in the Rydberg equation In the Rydberg equation, n 1 and n 2 represent the energy levels at either end of â¦ lines are in the visible region) corresponds to n=2, the Paschen seriesto n=3, the Brackett seriesto n=4, and the Pfund seriesto n=5. The representation of the hydrogen emission spectrum using a series of lines is one way to go. 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