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Photon energy is the energy carried by a single photon. The amount of energy is directly proportional to the photon's electromagnetic frequency and thus, equivalently, is inversely proportional to the wavelength. The higher the photon's frequency, the higher its energy. Equivalently, the longer the photon's wavelength, the lower its energy.
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: =.
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).
where E is the energy per photon, h is the Planck constant, c is the speed of light, ν is the frequency of the radiation and λ is the wavelength. A spectral radiative quantity in terms of energy, JE(λ), is converted to its quantal form JQ(λ) by dividing by the energy per photon:
The rate at which EM energy is detected by the detector is measured. This measured rate is then divided by Δ λ to obtain the detected power per square metre per unit wavelength range. Spectral flux density is often used as the quantity on the y -axis of a graph representing the spectrum of a light-source, such as a star .
The Compton wavelength is a quantum mechanical property of a particle, defined as the wavelength of a photon whose energy is the same as the rest energy of that particle (see mass–energy equivalence). It was introduced by Arthur Compton in 1923 in his explanation of the scattering of photons by electrons (a process known as Compton scattering).
The horizontal axis is wavelength in nm. A luminous efficiency function or luminosity function represents the average spectral sensitivity of human visual perception of light. It is based on subjective judgements of which of a pair of different-colored lights is brighter, to describe relative sensitivity to light of different wavelengths.
In addition, the law may be expressed in other terms, such as the number of photons emitted at a certain wavelength, or the energy density in a volume of radiation. In the limit of low frequencies (i.e. long wavelengths), Planck's law tends to the Rayleigh–Jeans law , while in the limit of high frequencies (i.e. small wavelengths) it tends to ...