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### Planck's equation

You have brought out a very important aspect that the the spectral irradiance F to express in in Wm-2µm-1, the result got from the equation has to be multiplied by 10^-6 . In many text this is missing. I suggest that the equation itself reflect this as given below
F(Lamda)= (--------)x10^-6

F(λ)=2πhc2λ5(exp(hcκλT)−1)