Planck distribution

exponential

 last updated: 2003-07-20

 

h10plan.gif (1886 bytes)The Planck distribution is directly related to the hyperbolic cotangent.

For an amount of oscillators under temperature equilibrium, the curve describes the average quantum state as function of the temperature 1).
It was the physicist Planck who found the formula.

An alternate way to formulate the curve is:

h10plang.gif (1007 bytes)

notes

1) Kittel 1976 p. 128.