Definition:Boltzmann's Constant
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Definition
Boltzmann's constant is the constant of proportion that relates the average relative thermal energy of particles in a gas with the thermodynamic temperature of the gas.
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Symbol
- $k$
The symbol for Boltzmann's constant is $k$.
Its $\LaTeX$ code is k
.
Dimension
Boltzmann's constant has the dimension $\mathsf {M L^2 T^{-2} \Theta^{-1} }$.
Units
The SI unit for Boltzmann's constant is given as joules per kelvin: $\mathrm {J \, K^{-1} }$
The CGS unit for Boltzmann's constant is given as ergs per kelvin: $\mathrm {erg \, K^{-1} }$
Value
The value of Boltzmann's constant is defined to be exactly:
\(\ds k\) | \(=\) | \(\ds 1 \cdotp 38064 \, 9 \times 10^{-23} \, \mathrm {J \, K^{-1} }\) | exactly | \(\quad\) This sequence is A070063 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008). | ||||||||||
\(\ds \) | \(=\) | \(\ds 1 \cdotp 38064 \, 9 \times 10^{-16} \, \mathrm {erg \, K^{-1} }\) | exactly |
Also known as
Boltzmann's constant is also known as the Boltzmann constant.
Also see
- Definition:Stefan-Boltzmann Constant: not to be confused with this
Source of Name
This entry was named for Ludwig Eduard Boltzmann.
Sources
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