Spectral Power Distributions “blackbody” Planckian radiators.

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Presentation transcript:

Spectral Power Distributions “blackbody” Planckian radiators

Candle flame (1000K)

100 W tungsten bulb (2856K)

Halogen 600 W bulb (3400K)

Sunlight (5500K)

Skylight (12000K)

Empirical fit: 2856K

Empirical fit: 5500K

Empirical fit: 2856K [400 – 700 nm]

Empirical fit: 5500K [400 – 700 nm]

h = Planck’s constant k = Boltzman constant c = speed of light λ = wavelength T = absolute temperature Planck’s Law: Empirical  Theoretical

Planck’s Law h = Planck’s constant k = Boltzman constant c = speed of light λ = wavelength T = absolute temperature

Peak wavelength

Wein’s Displacement Law: wavelength at peak output lambda max = b/T b = x (m K) T = temperature Kelvins

Total power

2856K 5500K 6500K

Stefan-Boltzman Law: total power output Total power = σ T 4 σ = Stefan-Boltzman constant T = temperature Kelvins

Absolute vs. relative spectral power

Radiometric constants: (ISO units, distance = meters) Constants: Planck's constanth6.63E-34J s speed of lightc3.00E+08m/s Boltzman's constantk1.38E-23J/K Wein's constantb2.90E-03m K Stefan-Boltzman constantσ5.670E-8W/m 2 K 4