De Broglie & Bohr: Electron Kinetic Energy Formula

In summary, the conversation discusses the relationship between an electron around a hydrogen atom and its radius, length of circle, and wavelength. It is mentioned that substituting the wavelength with h/p can help find the kinetic energy of an electron, which is similar to Bohr's formula for energy. However, it is noted that Bohr's model of the atom is not entirely accurate and is still being taught despite its flaws.
  • #1
matsorz
5
0
An electron around a hydrogen-atom, with radius r and length of circle a whole number, n, times wavelenght. This implies that
2*3,14*r=n*(wavelenght)

I have read someplace that if you substitute the wavelenght with h/p, you can find the kinetic energy of an electron, which is the same as Bohrs formula for energy.

Anyone here that can help?:)
 
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  • #2
Bohr's discussion of the atom was a predecessor of Schrodinger quantum mechanics. It happened to give the right energy levels for hydrogen, but is wrong in other details, for example the multiplicity of the levels. Unfortunate that it is still taught.
 
  • #3

FAQ: De Broglie & Bohr: Electron Kinetic Energy Formula

1. What is the De Broglie wavelength formula?

The De Broglie wavelength formula is λ = h/mv, where λ represents the wavelength, h is Planck's constant, m is the mass of the particle, and v is the velocity of the particle.

2. How is the De Broglie wavelength formula related to Bohr's model of the atom?

In Bohr's model of the atom, electrons are considered to have both particle-like and wave-like properties. The De Broglie wavelength formula helps to explain the wave-like behavior of electrons by calculating the wavelength of the electron based on its mass and velocity.

3. What is the significance of the De Broglie wavelength in quantum mechanics?

The De Broglie wavelength is significant in quantum mechanics because it demonstrates the wave-particle duality of matter. It also helps to explain the behavior of particles at the atomic and subatomic level.

4. How does the De Broglie wavelength formula impact our understanding of the energy of an electron?

The De Broglie wavelength formula is used to calculate the kinetic energy of an electron, which is a key factor in understanding the energy levels and transitions of electrons in an atom. It also helps to explain the stability of atoms and the emission of light by electrons.

5. Can the De Broglie wavelength formula be applied to all particles?

Yes, the De Broglie wavelength formula can be applied to all particles, not just electrons. It is a fundamental concept in quantum mechanics and is used to describe the wave-like behavior of all matter, including atoms, molecules, and even larger particles such as protons and neutrons.

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