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The 41.8% point is the wavelength-frequency-neutral peak (i.e. the peak in power per unit change in logarithm of wavelength or frequency). These are the points at which the respective Planck-law functions 1 / λ 5 , ν 3 and ν 2 / λ 2 , respectively, divided by exp ( hν / k B T ) − 1 attain their maxima.
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, known as photon energy, is proportional to its frequency ν: =.
Wavelength is inversely proportional to the wave frequency, [1] so gamma rays have very short wavelengths that are fractions of the size of atoms, whereas wavelengths on the opposite end of the spectrum can be indefinitely long. Photon energy is directly proportional to the wave frequency, so gamma ray photons have the highest energy (around a ...
Waves of the electromagnetic spectrum vary in size, from very long radio waves longer than a continent to very short gamma rays smaller than atom nuclei. Frequency is inversely proportional to wavelength, according to the equation: [26] = 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 ...
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.
Photons are massless particles of definite energy, definite momentum, and definite spin. To explain the photoelectric effect, Albert Einstein assumed heuristically in 1905 that an electromagnetic field consists of particles of energy of amount hν, where h is the Planck constant and ν is the wave frequency.
Various matter wave wavelengths matter mass kinetic energy wavelength reference Electron: 1/1823 Da: 54 eV: 167 pm: Davisson–Germer experiment: Electron: 1/1823 Da: 5 × 10 4 eV: 5 pm: Tonomura et al. [75] He atom, H2 molecule 4 Da: 50 pm: Estermann and Stern [76] Neutron: 1 Da: 0.025 eV: 181 pm: Wollan and Shull [77] Sodium atom 23 Da: 20 pm ...
It consists of the shortest wavelength electromagnetic waves, typically shorter than those of X-rays. With frequencies above 30 exahertz (3 × 10 19 Hz) and wavelengths less than 10 picometers (1 × 10 −11 m), gamma ray photons have the highest photon energy of any form of electromagnetic radiation.