Wien's Displacement Law

📊 intermediate

$$\lambda_{max} T = b$$

States that the blackbody radiation curve for different temperatures peaks at a wavelength inversely proportional to the temperature.

Variables & Units

$\lambda_{max}$

Peak wavelength

Unit: Meter ($m$)

$T$

Absolute temperature

Unit: Kelvin ($K$)

$b$

Wien's constant

Unit: $2.898 \times 10^{-3} m \cdot K$

Key Information

📐 Derived From

Differentiation of Planck's radiation law.

💡 Example

Estimating the surface temperature of the Sun from its yellow-green peak.

🔧 Applications

Pyrometry, astrophysics, and remote sensing.

⚠️ Constraints

Ideal blackbody radiation.

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