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  Bohr quantum condition

Bohr’s quantum condition: The condition for stationary states:

The circumference of the round orbit of the electron must be an integral multiple of the wavelength of de-Broglie wave, or else the wave cannot be smoothly constant.

Energy of electron in an atom:

By applying Schrodinger wave equation to hydrogen atom, the energy of electron (i.e., En) was obtained as:

398_bohr condition.jpg

Here, n is the principal quantum number. This expression is similar as Bohr’s equation for energy of electron in a hydrogen atom.

Replacing the values of m, e and h in the above relation, we get:

1245_bohr condition2.jpg

Importance of negative electronic energy:

The energy of an electron at infinity is randomly supposed to be zero. This state is termed as zero-energy state. Whenever an electron moves and comes under the influence of nucleus, it does some work and utilizes its energy in this procedure.

Therefore, the energy of the electron reduces and it becomes less than zero that is, it gets a negative value.

 

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