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College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

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Section
BuyFindarrow_forward

College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

How is the de Broglie wavelength of electrons related to the quantization of their orbits in atoms and molecules?

To determine

To discuss:

De Broglie wavelength for electron gives rise to the quantization of the orbits of electron in atom or molecules.

Explanation

The shell available for the electron for revolution is quantized which means they occur in discrete steps. De Broglie stated that wavelength associated with a particle is related to the speed of the particle. The speed on the other hand is related to the force due the changing motion of electron moving in a circle around the nucleus. And this force finally depends on the radius of the orbit.

We can say that the condition for a standing wave pattern is a condition for the radius of the orbits which satisfies only by certain values.

The Broglie wavelengthλB for a wave of energy E, frequencyν moving with speed of light c: (h is plank constant)

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