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Boltzmann constant: The Boltzmann constant, k, is one of seven fixed constants defining the International System of Units, the SI, with k = 1.380 649 x 10 −23 J K −1.The Boltzmann constant is a proportionality constant between the quantities temperature (with unit kelvin) and energy (with unit joule).
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 kelvin (K) is now fixed in terms of the Boltzmann constant (k B) and the joule. The joule is not shown because it is a derived unit defined by the metre (m), second (s), and kilogram (kg). Those SI base units are themselves defined by the universal constants of the speed of light ( c ), the caesium-133 hyperfine transition frequency ( Δ ν ...
For a lattice L in Euclidean space R n with unit covolume, i.e. vol(R n /L) = 1, let λ 1 (L) denote the least length of a nonzero element of L. Then √γ n n is the maximum of λ 1 (L) over all such lattices L.
Defining constant Exact value Δν Cs: hyperfine transition frequency of 133 Cs: 9 192 631 770 Hz: c: speed of light: 299 792 458 m/s: h: Planck constant: 6.626 070 15 × 10 −34 J⋅s: e: elementary charge: 1.602 176 634 × 10 −19 C: k: Boltzmann constant: 1.380 649 × 10 −23 J/K: N A: Avogadro constant: 6.022 140 76 × 10 23 mol −1: K ...
c, G, k e, e, where c is the speed of light, G is the gravitational constant, k e is the Coulomb constant, and e is the elementary charge. George Johnstone Stoney's unit system preceded that of Planck by 30 years. He presented the idea in a lecture entitled "On the Physical Units of Nature" delivered to the British Association in 1874. [2]
"The kelvin, symbol K, is the SI unit of thermodynamic temperature. It is defined by taking the fixed numerical value of the Boltzmann constant k to be 1.380 649 × 10 −23 when expressed in the unit J K −1, which is equal to kg m 2 s −2 K −1, where the kilogram, metre and second are defined in terms of h, c and ∆ν Cs." [1]
2019 definition: The kelvin, symbol K, is the SI unit of thermodynamic temperature. It is defined by taking the fixed numerical value of the Boltzmann constant k to be 1.380 649 × 10 −23 when expressed in the unit J⋅K −1, which is equal to kg⋅m 2 ⋅s −2 ⋅K −1, where the kilogram, metre and second are defined in terms of h, c and ...