Blackbody Radiation Dashboard
Explore the microscopic failure of Equipartition and the macroscopic Ultraviolet Catastrophe.
Temperature:
5000
K
Microscopic: Cavity Mode Energy (Equipartition vs Quantum)
Formulas Used in Microscopic Simulation:
• Classical Equipartition: ⟨E⟩ = k
B
× T
Independent of frequency ν (every mode receives equal continuous thermal energy).
• Planck Quantum Oscillator: ⟨E⟩ = (h × ν) / [e
(hν / k
B
T)
- 1]
Energy quantization (E = nhν) suppresses high-frequency UV modes.
Macroscopic: Spectral Radiance & Ultraviolet Catastrophe
Formulas Used in Macroscopic Simulation:
• Wien's Law (Peak): λ
max
= b / T = (2.898×10
6
nm·K) / T
• Rayleigh–Jeans (Failure): B
λ
= (2 c k
B
T) / λ
4
• Planck's Law (Coincides with Experimental Result): B
λ
= (2 h c²) / [λ
5
× (e
(hc / λk
B
T)
- 1)]
© All rights reserved. Dr. Ch. Suresh Babu, Associate Professor in Chemistry, Vasireddy Venkatadri International Technological University. Mobile: 9000837556, Email: sureshbabuchallari@gmail.com