# Boltzmann constant

Also found in: Dictionary, Thesaurus, Legal, Encyclopedia, Wikipedia.
Related to Boltzmann constant: Boltzmann distribution

## Boltzmann constant

(bolts'mahn),
the gas constant divided by the Avogadro number; 1.380658 × 10-23 J · K-1.
Farlex Partner Medical Dictionary © Farlex 2012

## Boltzmann constant

A physical constant which links a particle’s energy with temperature.

## Boltzmann,

Ludwig, Austrian physicist who founded branch of physics known as statistical mechanics, 1844-1906.
Boltzmann constant
Boltzmann distribution
Boltzmann equation
Mentioned in ?
References in periodicals archive ?
Nomenclature (u, v): Components of velocity field [c.sub.p]: Specific heat at constant pressure [N.sub.u]: Nusselt number [P.sub.r]: Prandtl number [Q.sub.0]: Heat generation/absorption coefficient [S.sub.h]: Sherwood number T: Temperature of the flow field T - TO [T.sub.[infinity]] Temperature of the fluid at infinity [T.sub.w]: Temperature at the plate f: Dimensionless similarity functions [E.sub.a]: The activation energy k: The Boltzmann constant [S.sub.c]: Schmidt number E: The nondimensional activation energy [G.sub.r]: Grashof number [G.sub.m]: Modified (Solutal) Grashof number.
The CGPM also noted, "The kelvin is currently defined in terms of an intrinsic property of water that, while being an invariant of nature, in practice depends on the purity and isotopic composition of the water used." Instead, the Conference suggested that it was "possible to redefine the kelvin so that it is linked to an exact numerical value of the Boltzmann constant k," which links temperature to mechanical energy.
NOMENCLATURE 2-D two-dimensional A particle area fraction d diameter of particles g(r) radial distribution function [J.sub.0] (x) first kind of Bessel function k Boltzmann constant l cell length n number of particles T temperature u potential of interaction [u.sub.dipole] dipole-dipole interaction [u.sub.coulomb] Coulomb interaction w(r) potential of mean force y distance coordinate Ze particle charge Greek Symbols [epsilon] dielectric constant [[epsilon].sub.w] dielectric electric constant for water [[epsilon].sub.n] dielectric electric constant for non-polar fluid [[kappa].sup.-1] Debye screening length
which is the adiabatic gradient at the stellar surface, where k is the Boltzmann constant, G the gravitational constant, M the mass of the star, R the radius of the star, [m.sub.p] the mass of a gas molecule.
For the forthcoming redefinition of the kelvin in the International System of Units (SI), an exact numerical value for the Boltzmann constant k in units of joules per kelvin will be selected to relate the thermodynamic temperature T to energy E using the relation E = kT.
In this equation, K is Boltzmann constant (1.38 x [10.sup.-16] erg/[kappa]), T is temperature (300 K), dM/dH is gradient near zero field (=0.02 in fig.
where [[sigma].sub.0] is the preexponential factor, [k.sub.B] is the Boltzmann constant, and [[epsilon].sub.a(ac)] is the activation energy that controls the jump of charge carriers from one site to another neighboring site.
where [q.sub.e] is the unit electron charge, T is the absolute temperature, k is the Boltzmann constant and [I.sub.C] is the transistor dc current.
Here, [J.sub.i] is the ionic flux, [D.sub.i] is diffusion coefficient, [k.sub.B] is the Boltzmann constant, T is the temperature and [n.sub.i] is the ionic concentration.
Here, E is the energy and [beta] = 1/[k.sub.B]T, with [k.sub.B] being Boltzmann constant which we set to be 1 in natural unit system.
The critical distance can be taken as the distance over which the potential drops by KBT/q where KB is the Boltzmann constant and it can be written as: Equation

Site: Follow: Share:
Open / Close