Wavelength- and Frequency-Dependent Formulations of Wien’s Displacement Law
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Ranjan Das [1]
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[1] Tata Institute of Fundamental Research, India
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- Localización: Journal of chemical education, ISSN 0021-9584, Vol. 92, Nº 6, 2015, págs. 1130-1134
- Idioma: inglés
- Texto completo no disponible (Saber más ...)
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Resumen
Interrelations between the wavelength- and frequency-dependent formulations of Wien’s displacement laws have been derived from the corresponding energy distribution functions of Planck’s 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 Wien’s 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 λmax and νmax, the points at which Planck’s energy distribution functions are maximized. From this, the reason behind the apparent anomaly of the product λmax × νmax not being equal to the velocity of light has been established.
