The equation for blackbody radiation (the Planck equation) is:
F = 2 h c2 -5 / (exp(hc/kT) - 1).
or, combining the constants:
F = c1 -5 / exp(c2 /T) - 1),
where c1 = 2 hc2 = 3.7419 × 10-5 erg cm2 s-1 [ in cm]
and c2 = hc/k = 1.4288 cm °K.
On the blue side of the distribution (when T << 1)
the 1 in the denominator can be ignored as the exponent become large and
the exponential term becomes >> 1. The expression then reduces to:
F = c1 -5exp(-c2 /T)
This expression for the blackbody distribution on the blue side of the
maximum of the Planck curve is called the Wien Distribution.
Note: The notation exp(x) is another way of writing
ex. In this case I used this form because of the complexity of the
term in the exponent, the difficulty of properly creating it in HTML
(the language used to write these pages), and the relatively low resolution
of computer screens.
Introduction to Blackbody radiation
Wien Displacement Law
This VRML + HTML package on Blackbody emission was constructed by Karen M. Strom.
Contact your local instructor for help if it is used as part of your class.