Peak Wavelength Calculator (Wien's Law)

Formula

The formula to calculate the peak wavelength, derived from Wien's Law, is:

\[ \lambda_{peak} = \frac{b}{T} \]

Where:

\( \lambda_{peak} \) is the peak wavelength (m)
\( b \) is Wien's displacement constant (2.897771955 × 10^-3 m·K)
\( T \) is the absolute temperature (K)

What is Peak Wavelength?

Peak wavelength is the maximum wavelength that black-body radiation will reach given its temperature. The peak wavelength is governed by Wien's Law, which states that the temperature and wavelength of the radiation are inversely proportional.

Example Calculation

Let's assume the following value:

Absolute Temperature (T): 5000 K

Using the formula to calculate the peak wavelength:

\[ \lambda_{peak} = \frac{2.897771955 \times 10^{-3}}{5000} = 5.79554391 \times 10^{-7} \text{ m} \]

The peak wavelength is 579.554391 nm.