Understanding De Broeglie Wavelength & Electron Orbits

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In summary, electrons in atoms can only exist in stable orbits when the orbit circumference is an integer multiple of its de Broglie wavelength. However, it is possible for an electron to temporarily exist in an orbit that is not an integer multiple and then quickly decay to a stable orbit. This concept was introduced in the Bohr model of the atom, but was later replaced by the Schrodinger theory which explains atomic levels as electron clouds with a probability spread. Any changes in the charge of the nucleus can cause electrons to move to unallowed orbits, but they will eventually settle into stable orbits and radiate energy in the process.
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Shark 774
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Electrons orbits are only allowed when a stable standing wave is formed around the nucleus, i.e. when the orbit circumference is an integer multiple of the electron's de broeglie wavelength. But is it possibly for it to temporarily exist in an orbit that is NOT an integer multiple of its wavelength and then VERY quickly decay to a stable orbit, or does it this just completely impossible?

(Note: I am only at a high school physics level)

Thanks!
 
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  • #2
Shark, The idea that electrons in atoms travel in orbits about the nucleus was an early step before anyone understood how different quantum mechanics was. All that was known at that time was that only certain values of the energy were permitted. The Bohr model of the atom tried to explain this by picturing the atom as a miniature solar system, pretty much obeying classical mechanics except that the electron was required to be at values of the radius determined by the deBroglie wavelength. The Bohr model was a partial success in that it explained the energy levels, but failed on many of the details.

It was soon replaced by the Schrodinger theory, which roughly pictures an atomic level as an electron cloud. The electron does not go zipping around and around t he nucleus, and is not required to stay at a single radius, but has a probability spread over a range, which may even include r = 0.
 
  • #3
Cool thanks! That really blows my year 12 understanding out of the water.
 
  • #4
if the nucleus loses or gains a charge all orbiting electrons will be in unallowed orbits.

some may even be below the lowest allowed orbit and will have to move upward (radiating energy as they do)
 

Related to Understanding De Broeglie Wavelength & Electron Orbits

1. What is De Broglie wavelength?

The De Broglie wavelength is a concept in quantum mechanics that describes the wave-like behavior of particles, such as electrons. It is named after physicist Louis de Broglie, who proposed that all particles have a wavelength associated with them, similar to how light behaves as both a particle and a wave.

2. How is De Broglie wavelength related to electron orbits?

The De Broglie wavelength is related to electron orbits through the concept of wave-particle duality. According to this principle, particles can exhibit both wave-like and particle-like behavior. In the case of electrons, their De Broglie wavelength is related to the size and shape of their orbit around the nucleus.

3. What is the significance of De Broglie wavelength in understanding electron behavior?

The De Broglie wavelength is significant in understanding electron behavior because it provides a way to describe and predict the behavior of electrons at a quantum level. The wavelength can help explain phenomena such as diffraction and interference patterns that are observed in electron experiments.

4. How is De Broglie wavelength calculated?

The De Broglie wavelength can be calculated using the equation λ = h/mv, where λ is the wavelength, h is Planck's constant, m is the mass of the particle, and v is the velocity of the particle. In the case of electrons, their velocity can be calculated using the formula v = √(2KE/m), where KE is the kinetic energy of the electron.

5. Can the De Broglie wavelength be observed in experiments?

Yes, the De Broglie wavelength has been observed in numerous experiments, such as the famous double-slit experiment. In this experiment, electrons are fired through two slits and create an interference pattern on a screen, demonstrating their wave-like behavior and their associated wavelength. This phenomenon has been observed in various particles, including electrons, neutrons, and even molecules.

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