Wien's Distribution Law Calculator (Solar Spectrum)

Wien’s Distribution Law Calculator

Note on Classical Derivation: This calculation is performed purely according to Wilhelm Wien's original 1896 distribution law. It relies exclusively on classical thermodynamics, Wien's displacement theorem, and the Stefan–Boltzmann law. Planck’s quantum hypothesis ($E = nh\nu$) and Planck's constant ($h$) are not introduced here.

Wien's Spectral Distribution Equation (1896): $$E_\lambda(\lambda, T) = \frac{c_1}{\lambda^5} \exp\left(-\frac{c_2}{\lambda T}\right)$$

Effective Solar Temp (T) 5778 K

First Radiation Const (c₁) 4.156 × 10⁻¹⁶ W·m²

Second Radiation Const (c₂) 1.449 × 10⁻² m·K

Peak Wavelength (λ_max = c₂ / 5T) 501.56 nm

Enter Wavelength (λ) in nanometers (nm):

Quick test:

Quantity / Parameter	Calculated Value
Position relative to λ_max	—
Denominator Factor (λ⁵)	—
Pre-exponential Factor (c₁ / λ⁵)	—
Exponential / Boltzmann Factor (e^{-c₂ / λT})	—
Wien's Predicted (E_λ)	—
Real Experimental Observation (E_λ)	—
Discrepancy (Wien / Experimental)	—
Physical Significance for Students	—