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explanation

Hydrogen

The hydrogen atom is build of subatomic particles, these particles are basically a proton and an electron. Both particles have an electric charge of 1.602*10^{-19}C . The proton is positive charged and the electron negative. Both particles attract each other. The amount of attraction force can be calculated with Coulombs Law.

The proton and the electron have a elementary charge (q1 and q2) of 1,602 176 565*10-19C. The radius(r) of the hydrogen atom is 53pm. The attractive force Fc between the two subatomic particles can be calculated as

The electron and the proton do not collaps due to the kinetic energy (circulair motion) of the electron. The kinetic energy can be described with the Centrifugal Force Fcf and is in equilibrium with the Coulomb Force Fc .

So with the known amount of Coulombenergy at equilibrium and the mass of the electron it is possible to derive v(speed of the electron). The mass of an electron is 9,109534 × 10^{-31}(kg) and therefore the speed(v) of the electron is

The frequency(f) of the electron of the hydrogen atom is its speed divided by its trajectory.

For the frequency the orbit is assumed as an “Bohr orbit”