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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.
Stoney chose his units so that G, c, and the electron charge e would be numerically equal to 1. [4] In 1899, one year before the advent of quantum theory, Max Planck introduced what became later known as the Planck constant. [5] [6] At the end of the paper, he proposed the base units that were later named in his honor.
An electronvolt is the amount of energy gained or lost by a single electron when it moves through an electric potential difference of one volt. Hence, it has a value of one volt, which is 1 J/C, multiplied by the elementary charge e = 1.602 176 634 × 10 −19 C. [2] Therefore, one electronvolt is equal to 1.602 176 634 × 10 −19 J. [1]
reduced Planck constant: 1.054 571 817... × 10 −34 J⋅s: 0 [4], Boltzmann constant: 1.380 649 × 10 −23 J⋅K −1: 0 [5] Newtonian constant of gravitation: 6.674 30 (15) × 10 −11 m 3 ⋅kg −1 ⋅s −2: 2.2 × 10 −5 [6] cosmological constant: 1.089(29) × 10 −52 m −2 [c]
A fundamental physical constant occurring in quantum mechanics is the Planck constant, h. A common abbreviation is ħ = h /2 π , also known as the reduced Planck constant or Dirac constant . Quantity (common name/s)
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: =.
The conductance quantum, denoted by the symbol G 0, is the quantized unit of electrical conductance.It is defined by the elementary charge e and Planck constant h as: = = = 7.748 091 729... × 10 −5 S.