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In physics and mathematics, wavelength or spatial period of a wave or periodic function is the distance over which the wave's shape repeats. [ 1][ 2] In other words, it is the distance between consecutive corresponding points of the same phase on the wave, such as two adjacent crests, troughs, or zero crossings.
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.
The Compton wavelength for this particle is the wavelength of a photon of the same energy. For photons of frequency f , energy is given by E = h f = h c λ = m c 2 , {\displaystyle E=hf={\frac {hc}{\lambda }}=mc^{2},} which yields the Compton wavelength formula if solved for λ .
Frequency is inversely proportional to wavelength, according to the equation: [25] = where v is the speed of the wave (c in a vacuum or less in other media), f is the frequency and λ is the wavelength. As waves cross boundaries between different media, their speeds change but their frequencies remain constant.
Planck–Einstein equation and de Broglie wavelength relations P = (E/c, p) is the four-momentum, ... This last equation is in a very high dimension, [2] ...
This equation is known as the Planck relation. Additionally, using equation f = c/λ, = where E is photon energy; λ is the photon's wavelength; c is the speed of light in a 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.
In 1890, Rydberg proposed on a formula describing the relation between the wavelengths in spectral lines of alkali metals. [2]: v1:376 He noticed that lines came in series and he found that he could simplify his calculations using the wavenumber (the number of waves occupying the unit length, equal to 1/λ, the inverse of the wavelength) as his unit of measurement.
Planck relation. The Planck relation[ 1][ 2][ 3] (referred to as Planck's energy–frequency relation, [ 4] the Planck–Einstein relation, [ 5] Planck equation, [ 6] and Planck formula, [ 7] though the latter might also refer to Planck's law [ 8][ 9]) is a fundamental equation in quantum mechanics which states that the energy E of a photon ...