de Broglie wavelength

(noun)

The wavelength of a matter wave is inversely proportional to the momentum of a particle and is called a de Broglie wavelength.

Related Terms

Examples of de Broglie wavelength in the following topics:

  • de Broglie and the Wave Nature of Matter

    • The concept of "matter waves" or "de Broglie waves" reflects the wave-particle duality of matter.
    • The theory was proposed by Louis de Broglie in 1924 in his PhD thesis.
    • The de Broglie relations show that the wavelength is inversely proportional to the momentum of a particle, and is also called de Broglie wavelength.
    • De Broglie didn't have any experimental proof at the time of his proposal.
    • The researchers calculated a De Broglie wavelength of the most probable C60 velocity as 2.5 pm.

  • Diffraction Revisited

    • De Broglie's hypothesis was that particles should show wave-like properties such as diffraction or interference.
    • The de Broglie hypothesis, formulated in 1924, predicts that particles should also behave as waves.
    • The wavelength of an electron is given by the de Broglie equation $\lambda = \frac{h}{p}$.
    • $\lambda$ is called the de Broglie wavelength.
    • In these instruments, electrons are accelerated by an electrostatic potential in order to gain the desired energy and, thus, wavelength before they interact with the sample to be studied.

  • Electron Microscopes

    • This is because their de Broglie wavelengths are so much smaller than that of visible light.
    • You hopefully remember that light is diffracted by objects which are separated by a distance of about the same size as the wavelength of the light.

  • de Broglie and the Bohr Model

    • By assuming that the electron is described by a wave and a whole number of wavelengths must fit, we derive Bohr's quantization assumption.
    • Bohr's condition, that the angular momentum is an integer multiple of $\hbar$, was later reinterpreted in 1924 by de Broglie as a standing wave condition.
    • Substituting de Broglie's wavelength of $\frac{h}{p}$ reproduces Bohr's rule.
    • Schrödinger employed de Broglie's matter waves, but instead sought wave solutions of a three-dimensional wave equation.
    • (a) Waves on a string have a wavelength related to the length of the string, allowing them to interfere constructively.

  • Particle-Wave Duality

    • De Broglie's wave (matter wave): In 1924, Louis-Victor de Broglie formulated the de Broglie hypothesis, claiming that all matter, not just light, has a wave-like nature.
    • The wavelength of the matter wave associated with a baseball, say moving at 95 miles per hour, is extremely small compared to the size of the ball so that wave-like behavior is never noticeable.

  • The Photoelectric Effect

    • This question would be resolved by de Broglie: light, and all matter, have both wave-like and particle-like properties.

  • The Physics of Bremsstrahlung

    • Typically over distances less that the de Broglie length of the electron one must treat the problem quantum mechanically,

  • Flow through a Channel

    • We can see many of the features of the supersonic flow through a de Laval nozzle in the flow through a channel.
    • where $\mathrm{Fr}$ is the Froude number, the ratio of the speed of flow to the speed of small wavelength gravity waves (see $\S~ 14.1$).

  • 2-D separation of variables

    • $\frac{\omega}{c}$ is one over the wavelength, times $2\pi$.