# Boltzmann constant

The Boltzmann Constant is the ratio of the Gas Constant R to Avogadro's number [[N_{A}]]. It can be thought of as the gas constant for a single molecule (or even for an arbitrary particle in a colloidal solution) rather than for a mole^{[1]}.

The Boltzmann Constant is illustrated in the equation for the translational kinetic energy of a particle in thermal equilibrium with it's surroundings:

^{[2]}

Where KE_{avg} is the Kinetic Energy of the particle, k is the Boltzmann Constant, and T is the Temperature in Kelvin.

According to NIST^{[3]} the Boltzmann Constant has a value of 1.3806504 x 10^{-23} J/K with a standard uncertainty of 0.0000024 x 10^{-23} J/K and a relative uncertainty of 1.7 x 10^{-6} (this is represented by the concise form 1.380 6504(24) x 10^{-23} J/K

The Boltzmann Constant can also be represented in alternative units as 8.617385 x 10^{-5} eV/K

- ↑ Fundamentals of Physics, Sixth Edition by David Halliday, Robert Resnick, and Jearl Walker p582
- ↑ http://hyperphysics.phy-astr.gsu.edu/hbase/kinetic/kintem.html
- ↑ http://physics.nist.gov/cgi-bin/cuu/CCValue?k%7CShowFirst=Browse