Spectrum 565: SW-BB2700 EditDelete
Black Body Radiation
Black Body Radiation I(lambda in meters) prop.to 1/lambda^5/(exp(0.014388/lambda/KELVIN)-1)
|Ballast||- no ballast or default/unknown ballast -|
|Originator (measurement)||Sarina Wunderlich|
Colorimetry is the science to describe physically the human color perception. The wavelength range 380 nm - 780 nm is visible to humans and detected by three different photoreceptors. Many Reptiles see the range 350 nm - 800 nm and have an additional UV photoreceptor in their retina.
Whereas a spectrometer measures the intensity in every tiny wavelength interval resulting in thousands of individual intensities, the human eye only measures three intensities detected by the three cones. The same is true for the reptile eye with usually three or four photoreceptors. Effectively the detailled spectrum displayed above reduces to a much compacter bar graph displayed below. The photoreceptor sensitivites from these L-Cone, M-Cone, S-Cone, and U-Cone are used, they are chosen as an average of measured reptile photoreceptor sensitivity curves. The bar graph also shows as reference the intensity seen by the three or four photoreceptors for average sunlight (id 1).
From these three numbers the colour coordinate and the correlated colour temperature for humans are calculated using the CIE standard method. I adapted this concept to a "3 cone reptile (M,S,U)" and a "4 cone reptile (L,M,S,U)". I am sure, that this adaption to other colour spaces makes sense mathematically and this is also done in scientific research regarding colour vision of animals, however I have not seen calculation of colour temperatures for other animals in the scientific literature. Even if it is hypothetical, at least this shows, how arbitrary the colour temperature is, and that the colour temperature calculated for humans does not apply to reptiles. The colour spaces also show the colour coordinates of different phases of daylight ((ids 1, 338 – 451, 511 – 513 ), indicated by crosses, coloured in the appriximate colour perceived by a human.
|Human (CIE)||3 cone reptile||4 cone reptile|
|Colour Coordinate||( 0.46 ; 0.41 )||( 0.62 ; 0.28 )||( 0.56 ; 0.27 ; 0.12 )|
|CCT||2700 Kelvin||2700 Kelvin||2700 Kelvin|
|colour space||3-D-graph not implemented yet|
Vitamin D3 is produced by UVB radiation around 300 nm. 7DHC/ProD3 present in the skin is converted to PreD3 when absorbing an UV photon. PreD3 can be converted back to ProD3, to Lumisterol, or to Tachysterol when absorbing another UV photon or can be converted to Vitamin D3 in a warm environment.
The equilibrium of the photoproducts depends on the actual UV spectrum in the range 250 nm - 340 nm. With knowledge of the conversion probabilities and absorption spectra of 7DHC, PreD3, Tachysterol, and Lumisterol it is possible to calculate the ratio of photoproducts in equilibrium. This is based on scientific literature , however the constants that are used for the calculation are not well calibrated with experiments. It is therefore not a solid method, but I consider it useful as a first guess how natural a UV spectrum is.
Caveat: This evaluation is extremely sensitive to the qualitiy of the spectral measurement in the range 220 nm - 340 nm. High quality spectrometers and good background calibration is needed to get the noise below 300 nm low enough for this evaluation. Please check at least the UV graph above for noise.
The ratio of the two solarmeters 6.2 (UVB) and 6.5 (UV index) readings has proven a useful and very simply number to acess the spectral shape in the vitamin-d3-active region.
The calculation method is a numerical implementation (Simpson's rule) of the formula
To learn more about calculating effective irradiances and radiometers I recommend this excellent report on UVB meters: Characterizing the Performance of Integral Measuring UV-Meters (pdf).
The numbers in the following tables can also be used to estimate certain (effective) irradiances from radiomer readings. Example: If the database lists
- range: UVB (US) = 13.8 µW/cm²
- radiometer: Solarmeter 6.2 = 19.6 µW/cm²
UVA (EU) ( 315 nm - 400 nm) 227 µW/cm² = 2.27 W/m² UVA (US) ( 320 nm - 400 nm) 223 µW/cm² = 2.23 W/m² UVB (EU) ( 280 nm - 315 nm) 10.6 µW/cm² = 0.106 W/m² UVB (US) ( 280 nm - 320 nm) 13.8 µW/cm² = 0.138 W/m² UVC ( 0 nm - 280 nm) 2.15 µW/cm² = 0.0215 W/m² vis. UVA ( 350 nm - 380 nm) 85.1 µW/cm² = 0.851 W/m² purple ( 380 nm - 420 nm) 258 µW/cm² = 2.58 W/m² blue ( 420 nm - 490 nm) 1200 µW/cm² = 12 W/m² green ( 490 nm - 575 nm) 3590 µW/cm² = 35.9 W/m² yellow ( 575 nm - 585 nm) 619 µW/cm² = 6.19 W/m² orange ( 585 nm - 650 nm) 5140 µW/cm² = 51.4 W/m² red ( 650 nm - 780 nm) 16000 µW/cm² = 160 W/m² VIS ( 380 nm - 780 nm) 26800 µW/cm² = 268 W/m² PAR ( 400 nm - 700 nm) 16000 µW/cm² = 160 W/m² total ( 0 nm - 0 nm) 319000 µW/cm² = 3190 W/m² UVA1 ( 315 nm - 350 nm) 38.9 µW/cm² = 0.389 W/m² VIS Rep3 ( 350 nm - 600 nm) 6760 µW/cm² = 67.6 W/m² VIS Rep4 ( 350 nm - 700 nm) 16200 µW/cm² = 162 W/m² IRA ( 700 nm - 1400 nm) 125000 µW/cm² = 1250 W/m² IRB ( 1400 nm - 3000 nm) 135000 µW/cm² = 1350 W/m²
Erythema 2.85 UV-Index Pyrimidine dimerization of DNA 6.14 µW/cm² Photoceratitis 3.94 µW/cm² Photoconjunctivitis 2 µW/cm² DNA Damage 2.91 Vitamin D3 6.35 µW/cm² Photosynthesis 11500 µW/cm² Luminosity 41600 lx Human L-Cone 6590 µW/cm² Human M-Cone 4440 µW/cm² Human S-Cone 938 µW/cm² CIE X 6480 µW/cm² CIE Y 5780 µW/cm² CIE Z 1820 µW/cm² PAR 81000000 mol photons Extinction preD3 0.0461 m²/mol Extinction Tachysterol 0.145 m²/mol Extinction Lumisterol 0.0338 m²/mol Extinction 7DHC 0.0424 m²/mol L-Cone 6260 µW/cm² M-Cone 3060 µW/cm² S-Cone 1370 µW/cm² U-Cone 497 µW/cm² UVR - ICNIRP 2004 4.52 Rel Biol Eff Melatonin Supression 1700 µW/cm² Blue Light Hazard 1070 µW/cm² (25.7 µW/cm² per 1000 lx) CIE 174:2006 PreVit D3 6.61 µW/cm² Lumen Reptil 30300 "pseudo-lx" Vitamin D3 Degradation 4.81 µW/cm²
Solarmeter 6.2 (UVB, pre 2010) 21 µW/cm² Solarmeter 6.5 (UV-Index, pre 2010) 2.21 Leybold UVB 11.4 µW/cm² Leybold UVA 95.2 µW/cm² Leybold UVC 1.25 µW/cm² DeltaOhm UVB 25.2 µW/cm² DeltaOhm UVC 4.97 µW/cm² Vernier UVB 7.37 µW/cm² Vernier UVA 69 µW/cm² Gröbel UVA 101 µW/cm² Gröbel UVB 9.49 µW/cm² Gröbel UVC 1.52 µW/cm² Solarmeter 6.4 (D3) 6.89 IU/min UVX-31 30.6 µW/cm² IL UVB 0.00955 µW/cm² IL UVA 113 µW/cm² Solarmeter 6.5 (UVI, post 2010) 1.41 UV-Index Solarmeter 6.2 (UVB, post 2010) 10.7 µW/cm² (Solarmeter Ratio = 7.56) Solarmeter AlGaN 6.5 UVI sensor 10.1 UV Index GenUV 7.1 UV-Index 0.611 UV-Index Solarmeter 10.0 (Global Power) 1290 W/m² Solarmeter 4.0 (UVA) 2.19 mW/cm²