Color temperature

The CIE 1931 x,y chromaticity space, also showing the chromaticities of black-body light sources of various temperatures (Planckian locus), and lines of constant correlated color temperature

Color temperature is a parameter describing the color of a visible light source by comparing it to the color of light emitted by an idealized opaque, non-reflective body. The temperature of the ideal emitter that matches the color most closely is defined as the color temperature of the original visible light source. Color temperature is usually measured in kelvins. The color temperature scale describes only the color of light emitted by a light source, which may actually be at a different (and often much lower) temperature.

Color temperature has applications in lighting, photography, videography, publishing, manufacturing, astrophysics and other fields. In practice, color temperature is most meaningful for light sources that correspond somewhat closely to the color of some black body, i.e., light in a range going from red to orange to yellow to white to bluish white. Although the concept of correlated color temperature extends the definition to any visible light, the color temperature of a green or a purple light rarely is useful information. Color temperature is conventionally expressed in kelvins, using the symbol K, a unit for absolute temperature.

Color temperatures over 5000 K are called "cool colors" (bluish), while lower color temperatures (2700–3000 K) are called "warm colors" (yellowish). "Warm" in this context is with respect to a traditional categorization of colors, not a reference to black body temperature. The hue-heat hypothesis states that low color temperatures will feel warmer while higher color temperatures will feel cooler. The spectral peak of warm-colored light is closer to infrared, and most natural warm-colored light sources emit significant infrared radiation. The fact that "warm" lighting in this sense actually has a "cooler" color temperature often leads to confusion. ^[1]

Categorizing different lighting

Color temperatures and example sources

Temperature	Source
1700 K	Match flame, low pressure sodium lamps (LPS/SOX)
1850 K	Candle flame, sunset/sunrise
2400 K	Standard incandescent lamps
2550 K	Soft white incandescent lamps
2700 K	"Soft white" compact fluorescent and LED lamps
3000 K	Warm white compact fluorescent and LED lamps
3200 K	Studio lamps, photofloods, etc.
3350 K	Studio "CP" light
5000 K	Horizon daylight, Tubular fluorescent lamps or cool white/daylight compact fluorescent lamps (CFL)
5500–6000 K	Vertical daylight, electronic flash
6200 K	Xenon short-arc lamp [2]
6500 K	Daylight, overcast
6500–9500 K	LCD or CRT screen
15,000–27,000 K	Clear blue poleward sky

The black-body radiance (B_λ) vs. wavelength (λ) curves for the visible spectrum. The vertical axes of Planck's law plots building this animation were proportionally transformed to keep equal areas between functions and horizontal axis for wavelengths 380–780 nm. K indicates the color temperature in kelvins, and M indicates the color temperature in micro reciprocal degrees.

The color temperature of the electromagnetic radiation emitted from an ideal black body is defined as its surface temperature in kelvins, or alternatively in micro reciprocal degrees (mired). ^[3] This permits the definition of a standard by which light sources are compared.

To the extent that a hot surface emits thermal radiation but is not an ideal black-body radiator, the color temperature of the light is not the actual temperature of the surface. An incandescent lamp's light is thermal radiation, and the bulb approximates an ideal black-body radiator, so its color temperature is essentially the temperature of the filament. Thus a relatively low temperature emits a dull red and a high temperature emits the almost white of the traditional incandescent light bulb. Metal workers are able to judge the temperature of hot metals by their color, from dark red to orange-white and then white (see red heat).

Many other light sources, such as fluorescent lamps, or light emitting diodes (LEDs) emit light primarily by processes other than thermal radiation. This means that the emitted radiation does not follow the form of a black-body spectrum. These sources are assigned what is known as a correlated color temperature (CCT). CCT is the color temperature of a black-body radiator which to human color perception most closely matches the light from the lamp. Because such an approximation is not required for incandescent light, the CCT for an incandescent light is simply its unadjusted temperature, derived from comparison to a black-body radiator.

The Sun

The Sun closely approximates a black-body radiator. The effective temperature, defined by the total radiative power per square unit, is 5772 K. ^[4] The color temperature of sunlight above the atmosphere is about 5900 K. ^[5]

The Sun may appear red, orange, yellow, or white from Earth, depending on its position in the sky. The changing color of the Sun over the course of the day is mainly a result of the scattering of sunlight and is not due to changes in black-body radiation. Rayleigh scattering of sunlight by Earth's atmosphere causes the blue color of the sky, which tends to scatter blue light more than red light.

Some daylight in the early morning and late afternoon (the golden hours) has a lower ("warmer") color temperature due to increased scattering of shorter-wavelength sunlight by atmospheric particulates – an optical phenomenon called the Tyndall effect.

Daylight has a spectrum similar to that of a black body with a correlated color temperature of 6500 K (D65 viewing standard) or 5500 K (daylight-balanced photographic film standard).

Approximation of the hues of the Planckian locus as a function of the kelvin temperature, rendered with a white point near 6500 K, not accounting for chromatic adaptation

For colors based on black-body theory, blue occurs at higher temperatures, whereas red occurs at lower temperatures. This is the opposite of the cultural associations attributed to colors, in which "red" is "hot", and "blue" is "cold". ^[6]

Applications

Color temperature (right) of various light sources (left)

Lighting

Color temperatures of common electric lamps

For lighting building interiors, it is often important to take into account the color temperature of illumination. A warmer (i.e., a lower color temperature) light is often used in public areas to promote relaxation, while a cooler (higher color temperature) light is used to enhance concentration, for example in schools and offices. ^[7]

CCT dimming for LED technology is regarded as a difficult task, since binning, age and temperature drift effects of LEDs change the actual color value output. Here feedback loop systems are used, for example with color sensors, to actively monitor and control the color output of multiple color mixing LEDs. ^[8]

Aquaculture

In fishkeeping, color temperature has different functions and foci in the various branches.

• In freshwater aquaria, color temperature is generally of concern only for producing a more attractive display.^{[ citation needed ]} Lights tend to be designed to produce an attractive spectrum, sometimes with secondary attention paid to keeping the plants in the aquaria alive.
• In a saltwater/reef aquarium, color temperature is an essential part of tank health. Within about 400 to 3000 nanometers, light of shorter wavelength can penetrate deeper into water than longer wavelengths, ^{[9] [10] [11]} providing essential energy sources to the algae hosted in (and sustaining) coral. This is equivalent to an increase of color temperature with water depth in this spectral range. Because coral typically live in shallow water and receive intense, direct tropical sunlight, the focus was once on simulating this situation with 6500 K lights.

Digital photography

In digital photography, the term color temperature sometimes refers to remapping of color values to simulate variations in ambient color temperature. Most digital cameras and raw image software provide presets simulating specific ambient values (e.g., sunny, cloudy, tungsten, etc.) while others allow explicit entry of white balance values in kelvins. These settings vary color values along the blue–yellow axis, while some software includes additional controls (sometimes labeled "tint") adding the magenta–green axis, and are to some extent arbitrary and a matter of artistic interpretation. ^[12]

Photographic film

Photographic emulsion film does not respond to lighting color identically to the human retina or visual perception. An object that appears to the observer to be white may turn out to be very blue or orange in a photograph. The color balance may need to be corrected during printing to achieve a neutral color print. The extent of this correction is limited since color film normally has three layers sensitive to different colors and when used under the "wrong" light source, every layer may not respond proportionally, giving odd color casts in the shadows, although the mid-tones may have been correctly white-balanced under the enlarger. Light sources with discontinuous spectra, such as fluorescent tubes, cannot be fully corrected in printing either, since one of the layers may barely have recorded an image at all.

Photographic film is made for specific light sources (most commonly daylight film and tungsten film), and, used properly, will create a neutral color print. Matching the sensitivity of the film to the color temperature of the light source is one way to balance color. If tungsten film is used indoors with incandescent lamps, the yellowish-orange light of the tungsten incandescent lamps will appear as white (3200 K) in the photograph. Color negative film is almost always daylight-balanced, since it is assumed that color can be adjusted in printing (with limitations, see above). Color transparency film, being the final artefact in the process, has to be matched to the light source or filters must be used to correct color.

Filters on a camera lens, or color gels over the light source(s) may be used to correct color balance. When shooting with a bluish light (high color temperature) source such as on an overcast day, in the shade, in window light, or if using tungsten film with white or blue light, a yellowish-orange filter will correct this. For shooting with daylight film (calibrated to 5600 K) under warmer (low color temperature) light sources such as sunsets, candlelight or tungsten lighting, a bluish (e.g. #80A) filter may be used. More-subtle filters are needed to correct for the difference between, say 3200 K and 3400 K tungsten lamps or to correct for the slightly blue cast of some flash tubes, which may be 6000 K. ^[13]

If there is more than one light source with varied color temperatures, one way to balance the color is to use daylight film and place color-correcting gel filters over each light source.

Photographers sometimes use color temperature meters. These are usually designed to read only two regions along the visible spectrum (red and blue); more expensive ones read three regions (red, green, and blue). However, they are ineffective with sources such as fluorescent or discharge lamps, whose light varies in color and may be harder to correct for. Because this light is often greenish, a magenta filter may correct it. More sophisticated colorimetry tools can be used if such meters are lacking. ^[13]

Desktop publishing

In the desktop publishing industry, it is important to know a monitor's color temperature. Color matching software, such as Apple's ColorSync Utility for MacOS, measures a monitor's color temperature and then adjusts its settings accordingly. This enables on-screen color to more closely match printed color. Common monitor color temperatures, along with matching standard illuminants in parentheses, are as follows:

• 5000 K (CIE D50)
• 5500 K (CIE D55)
• 6500 K (D65)
• 7500 K (CIE D75)
• 9300 K

D50 is scientific shorthand for a standard illuminant: the daylight spectrum at a correlated color temperature of 5000 K. Similar definitions exist for D55, D65 and D75. Designations such as D50 are used to help classify color temperatures of light tables and viewing booths. When viewing a color slide at a light table, it is important that the light be balanced properly so that the colors are not shifted towards the red or blue.

Digital cameras, web graphics, DVDs, etc., are normally designed for a 6500 K color temperature. The sRGB standard commonly used for images on the Internet stipulates a 6500 K display white point.

TV, video, and digital still cameras

The NTSC and PAL TV norms call for a compliant TV screen to display an electrically black and white signal (minimal color saturation) at a color temperature of 6500 K. On many consumer-grade televisions, there is a very noticeable deviation from this requirement. However, higher-end consumer-grade televisions can have their color temperatures adjusted to 6500 K by using a preprogrammed setting or a custom calibration. Current versions of ATSC explicitly call for the color temperature data to be included in the data stream, but old versions of ATSC allowed this data to be omitted. In this case, current versions of ATSC cite default colorimetry standards depending on the format. Both of the cited standards specify a 6500 K color temperature.

Most video and digital still cameras can adjust for color temperature by zooming into a white or neutral colored object and setting the manual "white balance" (telling the camera that "this object is white"); the camera then shows true white as white and adjusts all the other colors accordingly. White-balancing is necessary especially when indoors under fluorescent lighting and when moving the camera from one lighting situation to another. Most cameras also have an automatic white balance function that attempts to determine the color of the light and correct accordingly. While these settings were once unreliable, they are much improved in today's digital cameras and produce an accurate white balance in a wide variety of lighting situations.

Artistic application via control of color temperature

The house above appears a light cream during midday, but seems to be bluish white here in the dim light before full sunrise. Note the color temperature of the sunrise in the background.

Video camera operators can white-balance objects that are not white, downplaying the color of the object used for white-balancing. For instance, they can bring more warmth into a picture by white-balancing off something that is light blue, such as faded blue denim; in this way white-balancing can replace a filter or lighting gel when those are not available.

Cinematographers do not "white balance" in the same way as video camera operators; they use techniques such as filters, choice of film stock, pre-flashing, and, after shooting, color grading, both by exposure at the labs and also digitally. Cinematographers also work closely with set designers and lighting crews to achieve the desired color effects. ^[14]

For artists, most pigments and papers have a cool or warm cast, as the human eye can detect even a minute amount of saturation. Gray mixed with yellow, orange, or red is a "warm gray". Green, blue, or purple create "cool grays". Note that this sense of temperature is the reverse of that of real temperature; bluer is described as "cooler" even though it corresponds to a higher-temperature black body.

"Warm" gray	"Cool" gray
Mixed with 6% yellow	Mixed with 6% blue

Lighting designers sometimes select filters by color temperature, commonly to match light that is theoretically white. Since fixtures using discharge type lamps produce a light of a considerably higher color temperature than do tungsten lamps, using the two in conjunction could potentially produce a stark contrast, so sometimes fixtures with HID lamps, commonly producing light of 6000–7000 K, are fitted with 3200 K filters to emulate tungsten light. Fixtures with color mixing features or with multiple colors (if including 3200 K), are also capable of producing tungsten-like light. Color temperature may also be a factor when selecting lamps, since each is likely to have a different color temperature.

Correlated color temperature

This section is an excerpt from Correlated color temperature.[ edit ]

Log-log graphs of peak emission wavelength and radiant exitance vs black-body temperature. Red arrows show that 5780 K black bodies have 501 nm peak wavelength and 63.3 MW/m radiant exitance.

The correlated color temperature (CCT, T_cp) is defined as "the temperature of the Planckian radiator whose perceived color most closely resembles that of a given stimulus at the same brightness and under specified viewing conditions." ^{[15] [16]}

Color rendering index

Main article: Color rendering index

The CIE color rendering index (CRI) is a method to determine how well a light source's illumination of eight sample patches compares to the illumination provided by a reference source. Cited together, the CRI and CCT give a numerical estimate of what reference (ideal) light source best approximates a particular artificial light, and what the difference is.

Spectral power distribution

Characteristic spectral power distributions (SPDs) for an incandescent lamp (left) and a fluorescent lamp (right). The horizontal axes are wavelengths in nanometers, and the vertical axes show relative intensity in arbitrary units.

Light sources and illuminants may be characterized by their spectral power distribution (SPD). The relative SPD curves provided by many manufacturers may have been produced using 10  nm increments or more on their spectroradiometer. ^[17] The result is what would seem to be a smoother ("fuller spectrum") power distribution than the lamp actually has. Owing to their spiky distribution, much finer increments are advisable for taking measurements of fluorescent lights, and this requires more expensive equipment.

Color temperature in astronomy

Characteristic spectral power distribution of an A0V star (T_eff = 9500 K, cf. Vega) compared to black-body spectra. The 15000 K black-body spectrum (dashed line) matches the visible part of the stellar SPD much better than the black body of 9500 K. All spectra are normalized to intersect at 555 nanometers.

In astronomy, the color temperature is defined by the local slope of the SPD at a given wavelength, or, in practice, a wavelength range. Given, for example, the color magnitudes B and V which are calibrated to be equal for an A0V star (e.g. Vega), the stellar color temperature ${\displaystyle T_{C}}$ is given by the temperature for which the color index ${\displaystyle B-V}$ of a black-body radiator fits the stellar one. Besides the ${\displaystyle B-V}$, other color indices can be used as well. The color temperature (as well as the correlated color temperature defined above) may differ largely from the effective temperature given by the radiative flux of the stellar surface. For example, the color temperature of an A0V star is about 15000 K compared to an effective temperature of about 9500 K. ^[18]

For most applications in astronomy (e.g., to place a star on the HR diagram or to determine the temperature of a model flux fitting an observed spectrum) the effective temperature is the quantity of interest. Various color-effective temperature relations exist in the literature. There relations also have smaller dependencies on other stellar parameters, such as the stellar metallicity and surface gravity ^[19]

See also

• Brightness temperature
• Color balance
• Effective temperature
• Kruithof curve
• Luminous efficacy
• Color metamerism
• Colored fire
• Overillumination
• Whiteness

References

1. See the comments section of this LightNowBlog.com article Archived 2017-03-07 at the Wayback Machine on the recommendations of the American Medical Association to prefer LED-lighting with cooler color temperatures (i.e. warmer color).
2. "OSRAM SYVLANIA XBO" (PDF). Archived from the original (PDF) on March 3, 2016."
3. Wallace Roberts Stevens (1951). Principles of Lighting. Constable.
4. Williams, David R. (2022). "Sun Fact Sheet". NASA. Archived from the original on March 16, 2023. Retrieved March 24, 2023.
5. "Principles of Remote Sensing". CRISP. Archived from the original on July 2, 2012. Retrieved June 18, 2012.
6. Chris George (2008). Mastering Digital Flash Photography: The Complete Reference Guide. Sterling. p. 11. ISBN   978-1-60059-209-6.
7. Rüdiger Paschotta (2008). Encyclopedia of Laser Physics and Technology. Wiley-VCH. p. 219. ISBN   978-3-527-40828-3.^{[ permanent dead link ]}
8. Thomas Nimz, Fredrik Hailer and Kevin Jensen (2012). "Sensors and Feedback Control of Multi-Color LED Systems". LED Professional Review: Trends & Technologie for Future Lighting Solutions. LED Professional: 2–5. ISSN   1993-890X. Archived from the original on April 29, 2014.
9. Chaplin, Martin. "Water Absorption Spectrum". Archived from the original on July 17, 2012. Retrieved August 1, 2012.
10. Pope R. M., Fry E. S. (1997). "Absorption spectrum (380–700 nm) of pure water. II. Integrating cavity measurements". Applied Optics. Optical Society of America. 36 (33): 8710–8723. Bibcode:1997ApOpt..36.8710P. doi:10.1364/AO.36.008710. PMID   18264420. S2CID   11061625.
11. Jerlov N. G. (1976). Marine Optics. Elsevie Oceanography Series. Vol. 14. Amsterdam: Elsevier Scientific Publishing Company. pp. 128–129. ISBN   0-444-41490-8. Archived from the original on December 21, 2017. Retrieved August 1, 2012.
12. Kern, Chris. "Reality Check: Ambiguity and Ambivalence in Digital Color Photography". Archived from the original on July 22, 2011. Retrieved March 11, 2011.
13. Präkel, David (February 28, 2013). Basics Photography 02: Lighting. Bloomsbury Publishing. ISBN   978-2-940447-55-8.
14. Brown, Blain (September 15, 2016). Cinematography: Theory and Practice: Image Making for Cinematographers and Directors. Taylor & Francis. ISBN   978-1-317-35927-2.
15. CIE/IEC 17.4:1987 International Lighting Vocabulary Archived 2010-02-27 at the Wayback Machine ( ISBN   3900734070)
16. Borbély, Ákos; Sámson, Árpád; Schanda, János (December 2001). "The concept of correlated colour temperature revisited". Color Research & Application. 26 (6): 450–457. doi:10.1002/col.1065. Archived from the original on February 5, 2009.
17. Gretag's SpectroLino Archived 2006-11-10 at the Wayback Machine and X-Rite's ColorMunki Archived 2009-02-05 at the Wayback Machine have an optical resolution of 10 nm.
18. Unsöld, Albrecht; Bodo Baschek (1999). Der neue Kosmos (6 ed.). Berlin, Heidelberg, New York: Springer. ISBN   3-540-64165-3.
19. Casagrande, Luca (2021). "The GALAH survey: effective temperature calibration from the InfraRed Flux Method in the Gaia system". MNRAS. 507 (2): 2684–2696. arXiv: 2011.02517 . Bibcode:2021MNRAS.507.2684C. doi:10.1093/mnras/stab2304.

Further reading

• Stroebel, Leslie; John Compton; Ira Current; Richard Zakia (2000). Basic Photographic Materials and Processes (2nd ed.). Boston: Focal Press. ISBN   0-240-80405-8.
• Wyszecki, Günter; Stiles, Walter Stanley (1982). "3.11: Distribution Temperature, Color Temperature, and Correlated Color Temperature". Color Science: Concept and Methods, Quantitative Data and Formulæ. New York: Wiley. pp. 224–229. ISBN   0-471-02106-7.

External links

• Kelvin to RGB calculator from Academo.org
• Boyd, Andrew. Kelvin temperature in photography at The Discerning Photographer.
• Charity, Mitchell. What color is a black body? sRGB values corresponding to blackbodies of varying temperature.
• Lindbloom, Bruce. ANSI C implementation of Robertson's method to calculate the correlated color temperature of a color in XYZ.
• Konica Minolta Sensing. The Language of Light.