BOHR’S ATOMIC MODEL

Bohr’s Atomic Model: An overview

In order to describe the structure of the hydrogen atom using quantum theory, Niels Bohr developed his model of the atom in 1913, expanding upon Ernest Rutherford’s nuclear model. In order to explain the discrete nature of atomic spectra and the stability of atoms.

Bohr’s model included the idea of quantized energy levels. This model established the groundwork for contemporary quantum mechanics and represented a major advancement in our knowledge of atomic structure.

Key Concepts of Bohr’s atomic model 

This model was based on Planck’s quantum theory of radiations.

<img src="atom-model.jpg" alt="Diagram of the Bohr's atom model showing the radiusof an atom">
Bohr’s radius

Bohr’s Radius :     It is the most probable distance between the nucleus  and electron in a hydrogen atom in its ground state.The smallest possible orbit radius of 0.529×10-10 m is known as Bohr’s radius.

NUCLEAR CONCEPT:  

Stationary Orbits:

Planetory electrons revolve around the small central core of an atom called nucleus. Inward centripetal force needed by the electron which is provided by electrostatic force of attraction  between the   positive charge proton and  negtive charge electron.

Electron is able to revolve in certain stable orbits around the  nucleus without radiating energy.These orbits are called stationary orbits.

Bohr’s Quantum Condition

<img src="atom -model.jpg" alt="Image showing the  expression for the Bohr's quantum condition">
Bohr’s quantum condition

Electron Transitions:Emission and absorption of Energy

Electrons can only gain and lose energy by jumping from one allowed orbit to another by absorbing or emitting electromagnetic radiations.

<img src="atom-model.jpg" alt="Image showing the expression for the frquency condition of Bohr's atom model">
Bohr’s atom model-Frequency condition

Centripetal Force:

Inward centripetal force needed by the electron which is provided by electrostatic force of attraction  between the  positive charge proton and  negtive charge electron.

<img src="atom-model.jpg" alt="Image showing the expression for the centripetal force needed by the electron in Bohr's atom model">
Bohr’s atom model- Centripetal force needed by the electron

 

Bohr’s Quantum Condition

<img src="atom-model.jpg" alt="Image showing the quantum condition of Bohr's atom model">
Bohr’s atom model- Quantum condition

Radius of first orbit of hydrogen atom

<img src="atom-model.jpg" alt="Image showing the expression for the radius of first orbit of hydrogen atom">
Bohr’s atom model -Radius of first orbit of hydrogen atom

Importance of Bohr’s Atomic model

Explains Hydrogen Spectrum:

By connecting electron transitions to certain light wavelengths, the model was able to satisfactorily describe the hydrogen line spectra, especially the Balmer series.

Introduced Quantum Theory in Atomic Physics:

The development of quantum mechanics, which improved our comprehension of atomic and subatomic events, was facilitated by Bohr’s quantization of energy levels.

Justifies Atomic Stability:

Discussed the problem of atomic stability, which was outside the scope of classical physics. The reason why electrons do not spiral into the nucleus was demonstrated.

Lays Groundwork for Quantum Numbers:

The present quantum mechanical model was made possible by the model’s introduction of the concept of discrete quantum states.

Limitations:

Bohr’s model was groundbreaking, yet it had drawbacks. It was unable to explain the fine structure of spectral lines or the spectra of multi-electron atoms.

Conclusion:

Early in the 20th century, Bohr’s atom model—which connected classical and quantum physics—was a revolutionary breakthrough. Although more sophisticated theories have taken over it, its fundamental concepts have not changed. Building on Bohr’s legacy, recent advances in quantum mechanics, spectroscopy, and nanotechnology are expanding our knowledge of the atomic world.


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