Electron as a wave - some doubts

In summary, the conversation discusses the concept of an electron as a wave and raises doubts about it. The points mentioned include the decrease of electron wavelength with energy, the relationship between wavelength and frequency, and the potential for an electron wave to become too small to be held by the nucleus. Further clarification is sought by the members, with a reference to a worked problem for additional understanding.
  • #1
logearav
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electron as a wave -- some doubts

Homework Statement




While dealing with deBroglie's idea, my book mentions these points
1) The electron is a wave whose length decreases with energy
2) If you try to squash an electron wave closer to the nucleus, the wavelength must get smaller
3) When its wavelength is as small as a nucleus, its energy becomes so great that the attractive force of the nucleus isn't big enough to keep it there

Homework Equations





The Attempt at a Solution


From the first point, i infer that the wavelength decreases if frequency increases.
But i can't understand the rest of the points. Members can help in this regard.
 
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  • #3


Thanks Spinnor.
 

FAQ: Electron as a wave - some doubts

What is the concept of an electron as a wave?

The concept of an electron as a wave is based on the wave-particle duality principle, which states that particles can exhibit both wave-like and particle-like behaviors. This means that electrons, which are traditionally thought of as particles, can also behave like waves.

How does the wave-like behavior of electrons differ from their particle-like behavior?

The wave-like behavior of electrons is characterized by their ability to exhibit interference and diffraction patterns, similar to other types of waves. This behavior is not seen in their particle-like behavior, where they are more localized and can be described by their position and momentum.

What is the mathematical equation that describes the wave nature of electrons?

The mathematical equation that describes the wave nature of electrons is the Schrodinger equation. This equation takes into account the wave-like properties of electrons and is used to calculate their probability distribution in space.

Can electrons only exhibit wave-like behavior in certain situations?

No, electrons can exhibit wave-like behavior in all situations. However, the extent to which they exhibit this behavior may vary depending on the energy and momentum of the electron, as well as the environment it is in.

How does the concept of an electron as a wave impact our understanding of the atomic structure?

The concept of an electron as a wave has greatly impacted our understanding of the atomic structure. It has allowed us to better explain phenomena such as electron orbitals and electron energy levels, which were previously difficult to understand using a purely particle-based model.

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