DeBroglie: Wave Characteristics of Matter

Key Questions

• What are de Broglie waves?

  Answer:

  Louis de Broglie extended the notion of wave motion from light to other particles, such as electrons. It is possible to calculate a de Broglie wavelength for anything, including an elephant!

  Explanation:

  The formula is `lambda = h/p` where `h` is Planck's constant, `6.63xx10^-34` `m^2kgs^-1`, and `p` is the momentum (`p=mv`, mass times velocity).

  If you do the calculation, you will find out that the de Broglie wavelength for big objects like an elephant or a tennis ball is immeasurably tiny. It is only for very tiny objects like electrons that the concept really has much significance.

  David G. · 2 · Mar 28 2016

• What is the de Broglie equation?
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• What is wave-particle duality?
• What are some examples of wave-particle duality?
• What is the wave particle duality of light?
• How does the term wave-particle duality of light relate to electromagnetic waves?
• How does wave particle duality work?
• What is a matter (de Broglie) wave?
• How did DeBroglie's hypothesis account for the fact that the energy in a hydrogen atom is quantised?
• What properties of light that can best be explained by the wave theory. What other properties can be explained by the particle theory?
• What are de Broglie waves?
• Are matter waves the same as de Broglie waves?
• What do the Broglie equations relate?
• What is the wave particle duality of electrons?
• What else do I need to know to calculate the de Broglie wavelength of an electron moving at 80% the speed of light?
• Why does wave-particle duality exist?
• Why is wave particle duality important?
• What is the de Broglie wavelength of a ball with a mass of 0.20 kg when it strikes the ground after it has been dropped from a building that's 50 m tall?
• What experimental evidence supports de Broglie's idea that electrons have wave like properties?
• Why does light has wave particle duality?
• What observation confirmed de broglie's theory of matter waves?
• How fast does a proton have to be moving is order to have the same de Broglie wavelength as an electron that is moving at 3.90 × 10⁶ m/s?
• How are frequency and energy of a wave related?
• How long are infrared waves compared with waves of visible light?
• An electron has a speed of `8.4 * 10^5` `m` `s^-1`. What is the de Broglie wavelength of this electron?
• What is the de Broglie wavelength of an electron traveling at `2.0 * 10^8 m``/s`?
• What is the speed of a 50 g rock if its de Broglie wavelength is `3.32*10^-34` m?
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• A certain rifle bullet has a mass of 9.57 g. What is the de Broglie wavelength of the bullet traveling at 140 miles per hour?
• The prediction that electrons should exhibit wavelike properties was supported by what evidence?
• The de Broglie wavelength of a neutron is 144 pm. What is its velocity ?
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• What is a possible wavelength that is longer than infrared radiation, and another one that is shorter than infrared radiation?
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• What is the de Broglie wavelength for a `"0.01 kg"` particle moving at `"10 m/s"`"?
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• What is the de Broglie wavelength of an electron in the ground state of a hydrogen atom?
• Question #e8623
• If `6000` angstrom light is shined onto a metal work a certain work function, what is the wavelength in `"m"` of the fastest photoelectron that can be emitted?
• An electron in a hydrogen atom in its ground state absorbs twice of its ionization energy what is the wavelength of the emitted electron?
• Q.1. What is the De-Broglie wavelength of He atom in a container at room temperature? Use `u_(avg) = sqrt((8k_BT)/(pi m))`
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• If the energy of an X-ray photon is `"100 keV"`, then if its wavelength matches that of the ejected core electron, what should be the kinetic energy of that electron?
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• What is the de Broglie wavelength for an electron that travels at `90%` the speed of light?
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• Compare the de Broglie wavelengths for a proton, golf ball, and alpha particle, if these have speeds of `5.81 xx 10^6 "m/s"`, `"31.3 m/s"`, and `1.52 xx 10^7 "m/s"`, respectively? Which one is a classical particle?
• A certain sports utility vehicle is traveling at a speed of `"57 mph"`. If its mass is `"5400 lbs"`, what is its de Broglie wavelength?
• What is the speed of an electron with a wavelength of `"0.1 nm"`? If this electron were brought up to this speed from rest, what potential difference was needed?
• What is the de Broglie wavelength of an electron that has been accelerated through a potential of `"10 V"`?
• In an electron microscope, electrons are accelerated to great velocities. What is the wavelength of an electron traveling with a velocity of `7.0 *10^3` `"km/s"` ? The mass of an electron is `9.1*10^(-28)` `"g"`.
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