Value in Different Units
See also: New SI definitions| Values of k | Units | Comments |
|---|---|---|
| 1.380 6488(13)×10−23 | J/K | SI units, 2010 CODATA value, J/K = m2·kg/(s2·K) in SI base units |
| 8.617 3324(78)×10−5 | eV/K | 2010 CODATA value 1 electronvolt = 1.602 176 565(35)×10−19 J 1/kB = 11 604.519(11) K/eV |
| 2.083 6618(19)×1010 | Hz/K | 2010 CODATA value 1 Hz·h = 6.626 069 57(29)×10−34 J |
| 3.166 8114(29)×10−6 | EH/K | EH = 2R∞hc = 4.359 744 34(19)×10−18 J = 6.579 683 920 729(33) Hz·h |
| 1.380 6488(13)×10−16 | erg/K | CGS system, 1 erg = 1×10−7 J |
| 3.297 6230(30)×10−24 | cal/K | 1 Steam table calorie = 4.1868 J |
| 1.832 0128(17)×10−24 | cal/°R | 1 degree Rankine = 5/9 K |
| 5.657 3016(51)×10−24 | ft lb/°R | 1 foot-pound force = 1.355 817 948 331 4004 J |
| 0.695 034 76(63) | cm−1/K | 2010 CODATA value 1 cm−1 ·hc = 1.986 445 683(87)×10−23 J |
| 0.001 987 2041(18) | kcal/mol/K | per mole form often used in statistical mechanics—using thermochemical cal=4.184 Joules |
| 0.008 314 4621(75) | kJ/mol/K | per mole form often used in statistical mechanics |
| 4.10 | pN·nm | kT in piconewton nanometer at 24°C, used in biophysics |
| −228.599 1678(40) | dBW/K/Hz | in decibel watts, used in telecommunications |
| 1.442 695(04) | bit | in bits (logarithm base 2), used in information entropy |
| 1 | nat | in nats (logarithm base e), used in information entropy (see Planck Units, below) |
Since k is a physical constant of proportionality between temperature and energy, its numerical value depends on the choice of units for energy and temperature. The Kelvin temperature scale is based on the Celsius scale which divides the temperature range of liquid water into one hundred increments. The small numerical value of the constant in the metric system reflects the small energy in joules required to increase a particle's energy by raising the temperature by 1 K. The characteristic energy kT is a term encountered in many physical relationships.
Read more about this topic: Boltzmann Constant
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