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  2. Planck relation - Wikipedia

    en.wikipedia.org/wiki/Planck_relation

    The de Broglie relation, [10] [11] [12] also known as de Broglie's momentumwavelength relation, [4] generalizes the Planck relation to matter waves. Louis de Broglie argued that if particles had a wave nature, the relation E = hν would also apply to them, and postulated that particles would have a wavelength equal to λ = ⁠ h / p ⁠.

  3. Matter wave - Wikipedia

    en.wikipedia.org/wiki/Matter_wave

    The de Broglie wavelength is the wavelength, λ, associated with a particle with momentum p through the Planck constant, h: =. Wave-like behavior of matter has been experimentally demonstrated, first for electrons in 1927 and for other elementary particles , neutral atoms and molecules in the years since.

  4. Dispersion relation - Wikipedia

    en.wikipedia.org/wiki/Dispersion_relation

    The top electron has twice the momentum, while the bottom electron has half. Note that as the momentum increases, the phase velocity decreases down to c, whereas the group velocity increases up to c, until the wave packet and its phase maxima move together near the speed of light, whereas the wavelength continues to decrease without bound. Both ...

  5. Wavenumber - Wikipedia

    en.wikipedia.org/wiki/Wavenumber

    Diagram illustrating the relationship between the wavenumber and the other properties of harmonic waves. In the physical sciences, the wavenumber (or wave number), also known as repetency, [1] is the spatial frequency of a wave, measured in cycles per unit distance (ordinary wavenumber) or radians per unit distance (angular wavenumber).

  6. Photon energy - Wikipedia

    en.wikipedia.org/wiki/Photon_energy

    This equation is known as the Planck relation. Additionally, using equation f = c/λ, = where E is the photon's energy; λ is the photon's wavelength; c is the speed of light in vacuum; h is the Planck constant; The photon energy at 1 Hz is equal to 6.626 070 15 × 10 −34 J, which is equal to 4.135 667 697 × 10 −15 eV.

  7. Wavelength - Wikipedia

    en.wikipedia.org/wiki/Wavelength

    Relationship between wavelength, angular wavelength, and other wave properties. A quantity related to the wavelength is the angular wavelength (also known as reduced wavelength), usually symbolized by ƛ ("lambda-bar" or barred lambda). It is equal to the ordinary wavelength reduced by a factor of 2π (ƛ = λ/2π), with SI units of meter per ...

  8. Planck constant - Wikipedia

    en.wikipedia.org/wiki/Planck_constant

    The Planck constant, or Planck's constant, denoted by , [1] is a fundamental physical constant [1] of foundational importance in quantum mechanics: a photon's energy is equal to its frequency multiplied by the Planck constant, and the wavelength of a matter wave equals the Planck constant divided by the associated particle momentum.

  9. Momentum transfer - Wikipedia

    en.wikipedia.org/wiki/Momentum_transfer

    The momentum transfer plays an important role in the evaluation of neutron, X-ray, and electron diffraction for the investigation of condensed matter. Laue-Bragg diffraction occurs on the atomic crystal lattice, conserves the wave energy and thus is called elastic scattering, where the wave numbers final and incident particles, and , respectively, are equal and just the direction changes by a ...

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