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).
^French & Taylor (1978), pp. 24, 55.
^Cohen-Tannoudji, Diu & Laloë (1973/1977), pp. 10–11.
^Kalckar 1985 harvnb error: no target: CITEREFKalckar1985 (help), p. 39.
The Planckrelation (referred to as Planck's energy–frequency relation, the Planck–Einstein relation, Planck equation, and Planck formula, though the...
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is given by the Planckrelation E = h ν = h c / λ {\displaystyle E=h\nu =hc/\lambda } where E is the energy per photon, h is Planck's constant, c is the...