Understanding De Broeglie Wavelength & Electron Orbits

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SUMMARY

Electrons in atoms form stable orbits around the nucleus only when their orbit circumference is an integer multiple of their de Broglie wavelength. The Bohr model of the atom initially described these orbits as akin to a miniature solar system, but it was later superseded by Schrödinger's quantum mechanics, which depicts electrons as a probability cloud rather than fixed orbits. This shift highlights that electrons can exist in non-permitted orbits temporarily, especially when the nucleus gains or loses charge, leading to energy radiation as they transition to allowed states.

PREREQUISITES
  • Understanding of de Broglie wavelength
  • Familiarity with the Bohr model of the atom
  • Basic knowledge of Schrödinger's quantum mechanics
  • Concept of energy levels in atomic physics
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  • Research the implications of the de Broglie wavelength on electron behavior
  • Study the differences between the Bohr model and Schrödinger's wave mechanics
  • Explore the concept of quantum tunneling and its relation to electron orbits
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Students of physics, particularly those in high school or early college, as well as educators seeking to clarify the transition from classical to quantum mechanics in atomic theory.

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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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 Schrödinger 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.
 
Cool thanks! That really blows my year 12 understanding out of the water.
 
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)
 

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