Mathematical order in atomic spectra was discovered by physics pioneers Balmer, Rydberg, and Ritz.
Atomic spectra are defined as the spectrum of the electromagnetic radiation emitted or absorbed by an electron during transitions between different energy levels within an atom.
When an electron gets excited from one energy level to another, it either emits or absorbs light of a specific wavelength. The collection of all these specific wavelengths of the atom in a given set of conditions like pressure, temperature, etc. is the atomic spectra of atoms. There are three types of atomic spectra and they are :
Using the Rydberg formula, it becomes easy to calculate the spectral lines. Following is the formula:
[tex]\begin{array}{l}\frac{1}{\lambda }=RZ^{2}(\frac{1}{{n}’^{2}}-\frac{1}{n^{2}})\end{array}[/tex]
Where,
R is the Rydberg constant (1.09737*107 m-1)
Z is the atomic number
n is the upper energy level
n’ is the lower energy level
λ is the wavelength of light
Spectral series of single-electron atoms like hydrogen have Z = 1.
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