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Concept
Planckian locus
Summary
In physics and color science, the Planckian locus or black body locus is the path or locus that the color of an incandescent black body would take in a particular chromaticity space as the blackbody temperature changes. It goes from deep red at low temperatures through orange, yellowish white, white, and finally bluish white at very high temperatures.
A color space is a three-dimensional space; that is, a color is specified by a set of three numbers (the CIE coordinates X, Y, and Z, for example, or other values such as hue, colorfulness, and luminance) which specify the color and brightness of a particular homogeneous visual stimulus. A chromaticity is a color projected into a two-dimensional space that ignores brightness. For example, the standard CIE XYZ color space projects directly to the corresponding chromaticity space specified by the two chromaticity coordinates known as x and y, making the familiar chromaticity diagram shown in the figure. The Planckian locus, the path that the color of a black body takes as the blackbody temperature changes, is often shown in this standard chromaticity space.
In the CIE XYZ color space, the three coordinates defining a color are given by X, Y, and Z:
where M(λ,T) is the spectral radiant exitance of the light being viewed, and X(λ), Y(λ) and Z(λ) are the color matching functions of the CIE standard colorimetric observer, shown in the diagram on the right, and λ is the wavelength. The Planckian locus is determined by substituting into the above equations the black body spectral radiant exitance, which is given by Planck's law:
where:
c1 = 2pihc2 is the first radiation constant
c2 = hc/k is the second radiation constant
and:
M is the black body spectral radiant exitance (power per unit area per unit wavelength: watt per square meter per meter (W/m3))
T is the temperature of the black body
h is Planck's constant
c is the speed of light
k is Boltzmann's constant
This will give the Planckian locus in CIE XYZ color space.
Official source
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