)The Lyman series refers to the group of spectral lines emitted by Hydrogen atoms when electrons transition from higher energy levels to the n=1 energy level. These transitions result in the emission of ultraviolet (UV) light with wavelengths ranging from approximately 91 to 122 nanometers.
The Paschen series is another group of spectral lines emitted by Hydrogen atoms when electrons transition from higher energy levels to the n=3 energy level. These transitions result in the emission of infrared (IR) light with wavelengths ranging from approximately 820 to 1875 nanometers.
The Lyman and Paschen series are important because they provide evidence for the quantization of energy in atoms. They also have applications in astronomy, as the detection of these spectral lines can provide information about the composition and temperature of celestial objects.
The Lyman series has a lower limit of approximately 91 nanometers and an upper limit of 122 nanometers. The Paschen series has a lower limit of approximately 820 nanometers and an upper limit of 1875 nanometers.
The allowed wavelengths in the Lyman and Paschen series correspond to the energy differences between the energy levels in the Hydrogen atom. These energy differences are determined by the quantum mechanics of the atom, and only certain transitions are allowed. This results in the emission of specific wavelengths of light in the spectral lines of the Lyman and Paschen series.