When an electron jumps from higher orbit to lower orbit, the
difference in the energies of the orbits is released in the form of photon with
a certain frequency. By writing the equations for their energies and by
subtracting them we can derive the equation for the frequency and the
wavelength as shown below. Here we will get a constant called as Ridberg
constant.

**Emission spectrum of hydrogen atom**

Electron in a hydrogen atom can be navigated straight for a
very small time. It is not stable there therefore it always preferred to jump
into the lower orbits. Once if it is in the lower orbit it will have less
potential energy and it will be more stable. Therefore electrons always tended
to jump from higher orbits to lower orbits whenever there is a vacancy. The
emitted energy in this process is in the form of photons. This photon will have
a certain frequency and the spectrum of all these frequencies could be called as
emission spectrum.

**Lyman series**

Depending on electron jumping from which orbit to which
orbit, the emitted energies and their corresponding frequencies are different.
If the electronic jumping into the ground state, the corresponding spectral
line is called Lyman series. In this case, electrons from different higher
orbits are always going to jump into the ground state. We can calculate the
corresponding wavelength and frequencies and they are maximum and minimum
values as shown below. This region in the ultraviolet region which is in invisible
region.

**Balmer series**

If the electrons from the different orbits jump into the
second orbit, the corresponding emitted energies in the frequencies are called
Balmer series. These corresponding wavelengths and frequencies are in the
visible region. In fact this is the only frequencies that are visible in the
bourse atomic model.

We can derive the corresponding wavelength and frequencies
for this region as shown below.

**Passion series and Bracket series**

If the electron is jumping into the third orbit the
corresponding frequencies emitted are represented as Passion series. If the
electron jumps into the fourth orbit from different orbits the corresponding frequencies
set is called Bracket series. Their corresponding wavelengths and energies are as
shown below. The respective spectrum diagram is also shown.

We can calculate the number of the spectral lines possible
between two specified orbits as shown below.

**Related Posts**

Dual Nature of Radiation and Matter complete lesson

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