In the year 1885, based on experimental observations on the hydrogen atom, Balmer advised the formula for linking the wavenumber of the spectral lines emitted to the energy shells involved in an electron shift. This formula is given as:
λ = C(m2/m2-n2)
Here, λ represents the observed wavelength
C represents a constant (364.50682 nm)
n represents the lower energy level = 2, and m represents the higher energy level, which commonly has a value greater than 3.
The above observation was further refined by Johannes Rydberg, where R represents the Rydberg constant.
1/λ = R ((1/nf2) – (1/ni2))
According to the Balmer series, nf is always equal to 2. This equation was hence combined with the Bohr model to analyze the energy that is needed to shift an electron between its initial energy level and final energy levels.
ΔE = Rhc ((1/nf2) – (1/ni2))
Paschen Series (nf = 3): The series was initially noticed during the years 1908, by a German physicist named Friedrich Paschen. The Paschen series is exhibited when electron transition takes place from higher energy states (that is ni =4,5,6,7,8,…) to lower energy states that is nf =3 energy state. The wavelength of the Paschen series generally falls in the Infrared region of the electromagnetic spectrum.
Brackett Series (nf = 4): The series was initially noticed during the years 1922, by a famous American physicist Friedrich Sumner Brackett. Brackett series is exhibited when electron shift takes place from higher energy states (that is ni =5,6,7,8,9…) to lower energy state that is nf =4 energy state. The wavelength of the Brackett series generally falls in the Infrared region of the electromagnetic spectrum.
Pfund Series (nf = 5): The series was initially noticed during the years 1924, by a famous scientist named August Harman Pfund. Pfund series is exhibited when an electron shift takes place from higher energy states(that is ni = 6,7,8,9,10,…) to nf=5 energy state. The wavelength of the Pfund series usually falls in the Infrared region of the electromagnetic spectrum.