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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.
The four universal constants that, by definition, have a numeric value 1 when expressed in these units are: c, the speed of light in vacuum, G, the gravitational constant, ħ, the reduced Planck constant, and; k B, the Boltzmann constant.
1.191 042 972... × 10 −16 W⋅m 2 ⋅sr −1: 0 [11] = / second radiation constant: 1.438 776 877... × 10 −2 m⋅K: 0 [12] [e] Wien wavelength displacement law constant: 2.897 771 955... × 10 −3 m⋅K: 0 [13] ′ [f] Wien frequency displacement law constant: 5.878 925 757... × 10 10 Hz⋅K −1: 0 [14]
e is the elementary charge (1.602 176 634 × 10 −19 C [5]); h is the Planck constant ... The value of this constant is given here as 1/137.035999206 (note the ...
Typical alkaline AA battery is about 5000 C ≈ 1.4 A⋅h [12] 10 4 ~ 9.65 × 10 4 C: Charge on one mole of electrons (Faraday constant) [13] 10 5: 1.8 × 10 5 C: Automotive battery charge. 50Ah = 1.8 × 10 5 C: 10 6: mega-(MC) 10.72 × 10 6 C: Charge needed to produce 1 kg of aluminium from bauxite in an electrolytic cell [14] 10 7: 10 8: 5.9 ...
The fine-structure constant α is the best known dimensionless fundamental physical constant. It is the value of the elementary charge squared expressed in Planck units. This value has become a standard example when discussing the derivability or non-derivability of physical constants.
A set of base units in the atomic system as in one proposal are the electron rest mass, the magnitude of the electronic charge, the Planck constant, and the permittivity. [6] [9] In the atomic units system, each of these takes the value 1; the corresponding values in the International System of Units [10]: 132 are given in the table.