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Planck relation information


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 of a photon, E, known as photon energy, is proportional to its frequency, ν:

The constant of proportionality, h, is known as the Planck constant. Several equivalent forms of the relation exist, including in terms of angular frequency, ω:

where . Written using the symbol f for frequency, the relation is as follows:

The relation accounts for the quantized nature of light and plays a key role in understanding phenomena such as the photoelectric effect and black-body radiation (where the related Planck postulate can be used to derive Planck's law).

  1. ^ French & Taylor (1978), pp. 24, 55.
  2. ^ Cohen-Tannoudji, Diu & Laloë (1973/1977), pp. 10–11.
  3. ^ Kalckar 1985, p. 39.
  4. ^ Schwinger (2001), p. 203.
  5. ^ Landsberg (1978), p. 199.
  6. ^ Landé (1951), p. 12.
  7. ^ Griffiths, D.J. (1995), pp. 143, 216.
  8. ^ Griffiths, D.J. (1995), pp. 217, 312.
  9. ^ Weinberg (2013), pp. 24, 28, 31.

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