Wavelength- and Frequency-Dependent Formulations of Wien's Displacement Law

摘要

Interrelations between the wavelength- and frequency-dependent formulations of Wiens displacement laws have been derived from the corresponding energy distribution functions of Plancks blackbody radiation law. Mathematical aspects of the transformation of functions have been illustrated using a simple function. The importance of including the infinitesimal of the independent variable of the distribution function has been highlighted. Some erroneous statements relating to Wiens displacement law in certain textbooks have been addressed. An iterative method has been described to find the roots of equations containing exponentials and obtain the values of the points at which Plancks energy distribution functions are maximized. From this, the reason behind the apparent anomaly of the product not being equal to the velocity of light has been established.