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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.
This equation is known as the Planck relation. Additionally, using equation f = c/λ, = where E is the photon's energy; λ is the photon's wavelength; c is the speed of light in 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.
Hence, the uncertainties in the SI values of the Planck units derive almost entirely from uncertainty in the SI value of G. Compared to Stoney units , Planck base units are all larger by a factor 1 / α ≈ 11.7 {\textstyle {\sqrt {{1}/{\alpha }}}\approx 11.7} , where α {\displaystyle \alpha } is the fine-structure constant .
The constants listed here are known values of physical constants expressed in SI units; that is, physical quantities that are generally believed to be universal in nature and thus are independent of the unit system in which they are measured. Many of these are redundant, in the sense that they obey a known relationship with other physical ...
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: =.
where c is the speed of light and h is the Planck constant. [5] The relative uncertainty, 5 × 10 −8 in the 2006 CODATA recommended value, [6] is due entirely to the uncertainty in the value of the Planck constant. With the re-definition of kilogram in 2019, there is no uncertainty by definition left in Planck constant anymore.
It gives the most recent values published, and will be updated when newer values become available, which is typically every four years. The values have been updated to the CODATA 2022 values. This includes the 2019 revision of the SI , which made the values of several constants exact (e.g. e ), whereas some previously exactly defined constants ...
The proportionality constant has become known as the Planck constant. In the range of kinetic energies of the electrons that are removed from their varying atomic bindings by the absorption of a photon of energy h ν {\displaystyle h\nu } , the highest kinetic energy K max {\displaystyle K_{\max }} is K max = h ν − W . {\displaystyle K_{\max ...