# Boltzmann constant

## Physical constant relating particle kinetic energy with temperature / From Wikipedia, the free encyclopedia

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The **Boltzmann constant** (*k*_{B} or k) is the proportionality factor that relates the average relative thermal energy of particles in a gas with the thermodynamic temperature of the gas.[2] It occurs in the definitions of the kelvin and the gas constant, and in Planck's law of black-body radiation and Boltzmann's entropy formula, and is used in calculating thermal noise in resistors. The Boltzmann constant has dimensions of energy divided by temperature, the same as entropy. It is named after the Austrian scientist Ludwig Boltzmann.

**Quick facts: Boltzmann constant, Symbol , Value in joules ...**▼

Boltzmann constant | |
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Symbol: | k_{B} |

Value in joules per kelvin: | 1.380649×10^{−23} J⋅K^{−1}[1] |

As part of the 2019 redefinition of SI base units, the Boltzmann constant is one of the seven "defining constants" that have been given exact definitions. They are used in various combinations to define the seven SI base units. The Boltzmann constant is defined to be exactly 1.380649×10^{−23} J⋅K^{−1}.[1]