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Planckian locus

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1673: 145: 1346: 1679: 1340: 1668:{\displaystyle y_{\text{c}}={\begin{cases}-1.1063814x_{\text{c}}^{3}-1.34811020x_{\text{c}}^{2}+2.18555832x_{\text{c}}-0.20219683&1667\,{\text{K}}\leq T\leq 2222\,{\text{K}}\\-0.9549476x_{\text{c}}^{3}-1.37418593x_{\text{c}}^{2}+2.09137015x_{\text{c}}-0.16748867&2222\,{\text{K}}\leq T\leq 4000\,{\text{K}}\\+3.0817580x_{\text{c}}^{3}-5.87338670x_{\text{c}}^{2}+3.75112997x_{\text{c}}-0.37001483&4000\,{\text{K}}\leq T\leq 25000\,{\text{K}}\end{cases}}} 1060: 2332: 20: 1335:{\displaystyle x_{\text{c}}={\begin{cases}-0.2661239{\frac {10^{9}}{T^{3}}}-0.2343589{\frac {10^{6}}{T^{2}}}+0.8776956{\frac {10^{3}}{T}}+0.179910&1667\,{\text{K}}\leq T\leq 4000\,{\text{K}}\\-3.0258469{\frac {10^{9}}{T^{3}}}+2.1070379{\frac {10^{6}}{T^{2}}}+0.2226347{\frac {10^{3}}{T}}+0.240390&4000\,{\text{K}}\leq T\leq 25000\,{\text{K}}\end{cases}}} 2041: 1871: 1687: 2851:
A new algorithm to calculate correlated colour temperature is given. This algorithm is based on a rational Chebyshev approximation of the Planckian locus in the CIE 1960 UCS diagram and a bisection procedure. Thus time-consuming search procedures in tables or charts are no longer
2450:, the CIE worked around this problem by explicitly specifying the form of the SPD, rather than making references to black bodies and a color temperature. Nevertheless, it is useful to be aware of previous revisions in order to be able to verify calculations made in older texts: 582: 2778: 1877: 1707: 136:, 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. 405: 327: 249: 2314:
The 1960 UCS diagram and 1964 Uniform Space are declared obsolete recommendation in CIE 15.2 (1986), but have been retained for the time being for calculating colour rendering indices and correlated colour
2178: 2111: 870: 787: 2339:. The isotherms are perpendicular to the Planckian locus, and are drawn to indicate the maximum distance from the locus that the CIE considers the correlated color temperature to be meaningful: 2328:
Owing to the perceptual inaccuracy inherent to the concept, it suffices to calculate to within 2 K at lower CCTs and 10 K at higher CCTs to reach the threshold of imperceptibility.
472: 2222: 2376: 2277:) is the temperature of the Planckian radiator whose perceived colour most closely resembles that of a given stimulus at the same brightness and under specified viewing conditions 1050:
scale changes more evenly along the locus than the temperature itself, it is common for such approximations to be functions of the reciprocal temperature. Kim et al. use a
2432: 2036:{\displaystyle {\bar {v}}(T)={\frac {0.317398726+4.22806245\times 10^{-5}T+4.20481691\times 10^{-8}T^{2}}{1-2.89741816\times 10^{-5}T+1.61456053\times 10^{-7}T^{2}}}} 1866:{\displaystyle {\bar {u}}(T)={\frac {0.860117757+1.54118254\times 10^{-4}T+1.28641212\times 10^{-7}T^{2}}{1+8.42420235\times 10^{-4}T+7.08145163\times 10^{-7}T^{2}}}} 2686: 2638: 2593: 2556: 2519: 2478: 2899:
Kelly, Kenneth L. (August 1963). "Lines of constant correlated color temperature based on MacAdam's (u,v) Uniform chromaticity transformation of the CIE diagram".
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is now an exact value as well. Note that ... doesn't indicate a repeating fraction; it merely means that of this exact value only the first ten digits are shown.
2446:). These successive revisions caused a shift in the Planckian locus and, as a result, the correlated color temperature scale. Before ceasing publication of 2793: 462:
is the wavelength. The Planckian locus is determined by substituting into the above equations the black body spectral radiant exitance, which is given by
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The Planckian locus is derived by the determining the chromaticity values of a Planckian radiator using the standard colorimetric observer. The relative
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fixed the Boltzmann constant to an exact value. Since the Planck constant and the speed of light were already fixed to exact values, that means that
2488:(ITS-27). Note: Was in effect during the standardization of Illuminants A, B, C (1931), however the CIE used the value recommended by the U.S. 333: 255: 177: 3177:
Mohr, Peter J.; Newell, David B.; Taylor, Barry N. (2016-11-22). "CODATA Recommended Values of the Fundamental Physical Constants: 2014".
2964: 2865: 2435: 2116: 2049: 120:) which specify the color and brightness of a particular homogeneous visual stimulus. A chromaticity is a color projected into a 793: 710: 3001: 638:
is the black body spectral radiant exitance (power per unit area per unit wavelength: watt per square meter per meter (W/m))
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Kim et al.'s approximation to the Planckian locus (shown in red). The notches demarcate the three splines (shown in blue).
2253: 577:{\displaystyle M(\lambda ,T)={\frac {c_{1}}{\lambda ^{5}}}{\frac {1}{\exp \left({\frac {c_{2}}{{\lambda }T}}\right)-1}}} 625: 605: 2947: 2757: 3254:
Numerical table of color temperature and the corresponding xy and sRGB coordinates for both the 1931 and 1964 CMFs
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on the Planckian locus. Since the CIE's 1959 meeting in Brussels, the Planckian locus has been computed using the
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projects directly to the corresponding chromaticity space specified by the two chromaticity coordinates known as
2816: 2183: 2290: 455: 3253: 2776:, Kim et al., "Color Temperature Conversion System and Method Using the Same", issued 2006-04-04 2489: 2342: 2310:, also known as MacAdam's (u,v) diagram. Today, the CIE 1960 color space is deprecated for other purposes: 2299: 2387: 3231:"2018 CODATA Value: second radiation constant – The NIST Reference on Constants, Units, and Uncertainty" 1042:
space is depicted as a curve in the chromaticity diagram above. While it is possible to compute the CIE
3124:
Mohr, Peter J. (2016-09-26). "CODATA recommended values of the fundamental physical constants: 2014".
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Hall, J.A. (January 1967). "The Early History of the International Practical Scale of Temperature".
1368: 1082: 2390:(SPD) of a Planckian radiator follows Planck's law, and depends on the second radiation constant, 2728: 2708: 451: 89: 2792:
Bongsoon Kang; Ohak Moon; Changhee Hong; Honam Lee; Bonghwan Cho; Youngsun Kim (December 2002).
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Krystek, Michael P. (January 1985). "An algorithm to calculate correlated colour temperature".
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co-ordinates exactly given the above formulas, it is faster to use approximations. Since the
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This will give the Planckian locus in CIE XYZ color space. If these coordinates are
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Animation showing an approximation of the color of the Planckian Locus through the
897:(the “regular” first radiation constant), in which case the formula would give the 2251:) on or near the Planckian locus to correlated color temperature, is discussed in 3155: 655: 463: 1678: 2322:
Method of Measuring and Specifying Colour Rendering Properties of Light Sources
664: 66: 2321: 2282: 3263: 3216: 32: 2965:"Results of the Intercomparison of Correlated Color Temperature Calculation" 2791: 3092: 3084: 2922: 2846: 2794:"Design of Advanced Color Temperature Control System for HDTV Applications" 1051: 113: 2303: 1701:, which is used to compute CCT and CRI, using the following expressions: 645: 400:{\displaystyle Z_{T}=\int _{\lambda }Z(\lambda )M(\lambda ,T)\,d\lambda } 322:{\displaystyle Y_{T}=\int _{\lambda }Y(\lambda )M(\lambda ,T)\,d\lambda } 244:{\displaystyle X_{T}=\int _{\lambda }X(\lambda )M(\lambda ,T)\,d\lambda } 85: 58: 3108:"CODATA Recommended Values of the Fundamental Physical Constants: 2010" 875:
Note that in the above formula for Planck's Law, you might as well use
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Color Science: Concepts and Methods, Quantitative Data and Formulae
898: 2529:(IPTS-48). In effect for Illuminant series D (formalized in 1967). 2331: 704:
is the temperature, then the CIE chromaticity coordinates will be
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Locus of colors of incandescent black bodies within a color space
2232:) coordinates estimated from above to derive the corresponding ( 2704: 2656: 2608: 1686: 92:; that is, a color is specified by a set of three numbers (the 70: 2864:
Borbély, Ákos; Såmson,Árpåd; Schanda, Jånos (December 2001).
1047: 912:) of the black body instead of the spectral radiant exitance 74: 3069:
Moon, Parry (March 1948). "A table of Planckian radiation".
2173:{\displaystyle \left|v-{\bar {v}}\right|<9\times 10^{-5}} 2106:{\displaystyle \left|u-{\bar {u}}\right|<8\times 10^{-5}} 3106:
Mohr, Peter J.; Taylor, Barry N.; Newell, David B. (2012).
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functions used to map blackbody spectra to XYZ coordinates
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involves finding the closest point to the light source's
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The inverse calculation, from chromaticity co-ordinates (
139: 109: 62: 2866:"The concept of correlated colour temperature revisited" 865:{\displaystyle y_{T}={\frac {Y_{T}}{X_{T}+Y_{T}+Z_{T}}}} 782:{\displaystyle x_{T}={\frac {X_{T}}{X_{T}+Y_{T}+Z_{T}}}} 2748:
Wyszecki, GĂŒnter & Stiles, Walter Stanley (2000).
159:, the three coordinates defining a color are given by 2667: 2619: 2574: 2537: 2500: 2459: 2396: 2345: 2186: 2119: 2052: 1880: 1710: 1349: 1063: 796: 713: 475: 336: 258: 180: 2962: 2438:
has revised its estimate of this constant, with the
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The Planckian locus can also be approximated in the
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that ignores brightness. For example, the standard
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Planckian locus in the CIE 1931 chromaticity diagram
2936:Simons, Ronald Harvey; Bean, Arthur Robert (2001). 2680: 2632: 2587: 2550: 2513: 2472: 2426: 2381: 2370: 2240:), if a larger range of temperatures is required. 2216: 2172: 2105: 2035: 1865: 1667: 1334: 864: 781: 576: 399: 321: 243: 2254:Correlated color temperature § Approximation 3261: 3176: 2566:(ITS-68), (ITS-90). Often used in recent papers. 3179:Journal of Physical and Chemical Reference Data 2298:The mathematical procedure for determining the 2260: 2224:. Alternatively, one can use the chromaticity ( 2963:Ohno, Yoshi; Jergens, Michael (19 June 1999). 2987: 2434:. As measuring techniques have improved, the 2988:Janos Schanda (2007). "3: CIE Colorimetry". 2939:Lighting Engineering: Applied Calculations 2436:General Conference on Weights and Measures 2217:{\displaystyle 1000\,K<T<15\,000\,K} 3190: 3137: 2990:Colorimetry: Understanding the CIE System 2444:International Practical Temperature Scale 2210: 2206: 2190: 2046:This approximation is accurate to within 1652: 1634: 1555: 1537: 1458: 1440: 1319: 1301: 1197: 1179: 1030:might therefore simply be replaced by 1. 924:). However, this change only affects the 458:, shown in the diagram on the right, and 390: 312: 234: 2330: 1685: 1677: 143: 18: 2832: 1002:are calculated, the absolute values of 149:CIE 1931 Standard Colorimetric Observer 108:, for example, or other values such as 3262: 2801:Journal of the Korean Physical Society 2707:2018). Current value, as of 2020. The 1023:do not matter. For practical reasons, 140:Planckian locus in the XYZ color space 2898: 2741: 2371:{\displaystyle \Delta _{uv}=\pm 0.05} 2285:, International Lighting Vocabulary ( 3123: 3068: 3041: 2752:(2E ed.). Wiley-Interscience. 13: 2347: 14: 3281: 3247: 81:white at very high temperatures. 2870:Color Research & Application 2835:Color Research & Application 1033: 3223: 3170: 3117: 3099: 3062: 3035: 3010: 2440:International Temperature Scale 2382:International Temperature Scale 988:= 100) and are normalized when 426:of the light being viewed, and 2981: 2956: 2929: 2892: 2857: 2826: 2785: 2766: 2137: 2070: 1899: 1893: 1887: 1729: 1723: 1717: 886:(the first radiation constant 491: 479: 456:standard colorimetric observer 387: 375: 369: 363: 309: 297: 291: 285: 231: 219: 213: 207: 1: 2734: 3156:10.1103/RevModPhys.88.035009 2490:National Bureau of Standards 2300:correlated color temperature 2268:correlated color temperature 2261:Correlated color temperature 65:at low temperatures through 61:changes. It goes from deep 7: 2722: 2388:spectral power distribution 53:would take in a particular 10: 3286: 3018:"The ITS-90 Resource Site" 2427:{\displaystyle c_{2}=hc/k} 974:are usually normalized to 3126:Reviews of Modern Physics 3056:10.1088/0026-1394/3/1/006 2772: 626:second radiation constant 424:spectral radiant exitance 606:first radiation constant 452:color matching functions 2942:. Architectural Press. 2729:Ultraviolet catastrophe 2709:2019 revision of the SI 1038:The Planckian locus in 90:three-dimensional space 51:incandescent black body 3256:, by Mitchell Charity. 3085:10.1364/JOSA.38.000291 2970:. CORM. Archived from 2923:10.1364/JOSA.53.000999 2847:10.1002/col.5080100109 2682: 2634: 2589: 2552: 2515: 2474: 2428: 2378: 2372: 2326: 2296: 2218: 2174: 2107: 2037: 1867: 1694: 1683: 1669: 1336: 951:relative to each other 866: 783: 578: 401: 323: 245: 152: 24: 2977:on 30 September 2006. 2774:US patent 7024034 2683: 2681:{\displaystyle c_{2}} 2635: 2633:{\displaystyle c_{2}} 2590: 2588:{\displaystyle c_{2}} 2553: 2551:{\displaystyle c_{2}} 2516: 2514:{\displaystyle c_{2}} 2475: 2473:{\displaystyle c_{2}} 2429: 2373: 2334: 2312: 2264: 2219: 2175: 2108: 2038: 1868: 1689: 1681: 1670: 1337: 888:for spectral radiance 867: 784: 579: 402: 324: 246: 147: 122:two-dimensional space 49:that the color of an 22: 2665: 2617: 2572: 2535: 2498: 2457: 2448:standard illuminants 2394: 2343: 2308:CIE 1960 color space 2184: 2117: 2050: 1878: 1708: 1699:CIE 1960 color space 1347: 1061: 794: 711: 473: 334: 256: 178: 3201:2016JPCRD..45d3102M 3148:2016RvMP...88c5009M 2915:1963JOSA...53..999K 1606: 1585: 1509: 1488: 1412: 1391: 157:CIE XYZ color space 126:CIE XYZ color space 2996:. pp. 37–46. 2994:Wiley Interscience 2678: 2630: 2585: 2548: 2511: 2470: 2442:(and briefly, the 2424: 2379: 2368: 2214: 2170: 2103: 2033: 1863: 1695: 1684: 1665: 1660: 1592: 1571: 1495: 1474: 1398: 1377: 1332: 1327: 862: 779: 674:Boltzmann constant 574: 397: 319: 241: 153: 55:chromaticity space 25: 3209:10.1063/1.4954402 3003:978-0-470-04904-4 2320:CIE 13.3 (1995), 2283:CIE/IEC 17.4:1987 2140: 2073: 2031: 1890: 1861: 1720: 1656: 1638: 1620: 1599: 1578: 1559: 1541: 1523: 1502: 1481: 1462: 1444: 1426: 1405: 1384: 1357: 1323: 1305: 1288: 1265: 1235: 1201: 1183: 1166: 1143: 1113: 1071: 949:, not the values 899:spectral radiance 860: 777: 648:of the black body 572: 559: 519: 57:as the blackbody 3277: 3241: 3240: 3238: 3237: 3227: 3221: 3220: 3194: 3174: 3168: 3167: 3141: 3121: 3115: 3114: 3112: 3103: 3097: 3096: 3066: 3060: 3059: 3039: 3033: 3032: 3030: 3029: 3020:. Archived from 3014: 3008: 3007: 2985: 2979: 2978: 2976: 2969: 2960: 2954: 2953: 2933: 2927: 2926: 2896: 2890: 2889: 2884:. Archived from 2882:10.1002/col.1065 2861: 2855: 2854: 2830: 2824: 2823: 2821: 2815:. Archived from 2798: 2789: 2783: 2782: 2781: 2777: 2770: 2764: 2763: 2745: 2702: 2700: 2696: 2693: 2687: 2685: 2684: 2679: 2677: 2676: 2654: 2652: 2648: 2645: 2639: 2637: 2636: 2631: 2629: 2628: 2606: 2604: 2600: 2594: 2592: 2591: 2586: 2584: 2583: 2565: 2563: 2557: 2555: 2554: 2549: 2547: 2546: 2528: 2526: 2520: 2518: 2517: 2512: 2510: 2509: 2487: 2485: 2479: 2477: 2476: 2471: 2469: 2468: 2433: 2431: 2430: 2425: 2420: 2406: 2405: 2377: 2375: 2374: 2369: 2358: 2357: 2335:Close up of the 2324: 2294: 2223: 2221: 2220: 2215: 2179: 2177: 2176: 2171: 2169: 2168: 2147: 2143: 2142: 2141: 2133: 2112: 2110: 2109: 2104: 2102: 2101: 2080: 2076: 2075: 2074: 2066: 2042: 2040: 2039: 2034: 2032: 2030: 2029: 2028: 2019: 2018: 1994: 1993: 1968: 1967: 1966: 1957: 1956: 1932: 1931: 1906: 1892: 1891: 1883: 1872: 1870: 1869: 1864: 1862: 1860: 1859: 1858: 1849: 1848: 1824: 1823: 1798: 1797: 1796: 1787: 1786: 1762: 1761: 1736: 1722: 1721: 1713: 1692:visible spectrum 1674: 1672: 1671: 1666: 1664: 1663: 1657: 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276: 272: 263: 259: 257: 254: 253: 198: 194: 185: 181: 179: 176: 175: 142: 43:is the path or 37:Planckian locus 17: 12: 11: 5: 3283: 3273: 3272: 3258: 3257: 3249: 3248:External links 3246: 3243: 3242: 3222: 3169: 3116: 3098: 3079:(3): 291–294. 3061: 3034: 3009: 3002: 2980: 2955: 2948: 2928: 2891: 2888:on 2009-02-05. 2876:(6): 450–457. 2856: 2825: 2822:on 2019-03-03. 2807:(6): 865–871. 2784: 2765: 2758: 2739: 2738: 2736: 2733: 2732: 2731: 2724: 2721: 2720: 2719: 2715: 2675: 2671: 2660: 2627: 2623: 2612: 2582: 2578: 2567: 2545: 2541: 2530: 2508: 2504: 2493: 2467: 2463: 2423: 2419: 2415: 2412: 2409: 2404: 2400: 2383: 2380: 2367: 2364: 2361: 2356: 2353: 2349: 2317: 2279: 2274: 2262: 2259: 2213: 2209: 2205: 2202: 2199: 2196: 2193: 2189: 2167: 2164: 2160: 2156: 2153: 2150: 2146: 2139: 2136: 2130: 2127: 2123: 2100: 2097: 2093: 2089: 2086: 2083: 2079: 2072: 2069: 2063: 2060: 2056: 2044: 2043: 2027: 2023: 2017: 2014: 2010: 2006: 2003: 2000: 1997: 1992: 1989: 1985: 1981: 1978: 1975: 1972: 1965: 1961: 1955: 1952: 1948: 1944: 1941: 1938: 1935: 1930: 1927: 1923: 1919: 1916: 1913: 1910: 1904: 1901: 1898: 1895: 1889: 1886: 1873: 1857: 1853: 1847: 1844: 1840: 1836: 1833: 1830: 1827: 1822: 1819: 1815: 1811: 1808: 1805: 1802: 1795: 1791: 1785: 1782: 1778: 1774: 1771: 1768: 1765: 1760: 1757: 1753: 1749: 1746: 1743: 1740: 1734: 1731: 1728: 1725: 1719: 1716: 1676: 1675: 1662: 1651: 1648: 1645: 1642: 1633: 1630: 1628: 1625: 1616: 1612: 1609: 1604: 1595: 1591: 1588: 1583: 1574: 1570: 1567: 1564: 1563: 1554: 1551: 1548: 1545: 1536: 1533: 1531: 1528: 1519: 1515: 1512: 1507: 1498: 1494: 1491: 1486: 1477: 1473: 1470: 1467: 1466: 1457: 1454: 1451: 1448: 1439: 1436: 1434: 1431: 1422: 1418: 1415: 1410: 1401: 1397: 1394: 1389: 1380: 1376: 1373: 1370: 1369: 1367: 1362: 1353: 1342: 1329: 1318: 1315: 1312: 1309: 1300: 1297: 1295: 1292: 1287: 1282: 1278: 1272: 1269: 1262: 1258: 1252: 1248: 1242: 1239: 1232: 1228: 1222: 1218: 1212: 1209: 1206: 1205: 1196: 1193: 1190: 1187: 1178: 1175: 1173: 1170: 1165: 1160: 1156: 1150: 1147: 1140: 1136: 1130: 1126: 1120: 1117: 1110: 1106: 1100: 1096: 1090: 1087: 1084: 1083: 1081: 1076: 1067: 1035: 1032: 1027: 1019: 1012: 1005: 998: 991: 984: 977: 970: 963: 956: 945: 938: 931: 893: 879: 873: 872: 856: 852: 848: 843: 839: 835: 830: 826: 819: 815: 809: 804: 800: 789: 773: 769: 765: 760: 756: 752: 747: 743: 736: 732: 726: 721: 717: 696: 689: 682: 677: 676: 667: 665:speed of light 658: 649: 639: 629: 628: 612: 608: 593: 585: 584: 570: 567: 563: 557: 553: 546: 542: 536: 532: 529: 525: 516: 512: 506: 502: 496: 493: 490: 487: 484: 481: 478: 408: 407: 396: 393: 389: 386: 383: 380: 377: 374: 371: 368: 365: 362: 357: 353: 349: 344: 340: 329: 318: 315: 311: 308: 305: 302: 299: 296: 293: 290: 287: 284: 279: 275: 271: 266: 262: 251: 240: 237: 233: 230: 227: 224: 221: 218: 215: 212: 209: 206: 201: 197: 193: 188: 184: 141: 138: 77:, and finally 15: 9: 6: 4: 3: 2: 3282: 3271: 3268: 3267: 3265: 3255: 3252: 3251: 3232: 3226: 3218: 3214: 3210: 3206: 3202: 3198: 3193: 3188: 3185:(4): 043102. 3184: 3180: 3173: 3165: 3161: 3157: 3153: 3149: 3145: 3140: 3135: 3132:(3): 035009. 3131: 3127: 3120: 3109: 3102: 3094: 3090: 3086: 3082: 3078: 3074: 3073: 3065: 3057: 3053: 3049: 3045: 3038: 3024:on 2008-02-21 3023: 3019: 3013: 3005: 2999: 2995: 2991: 2984: 2973: 2966: 2959: 2951: 2949:0-7506-5051-6 2945: 2941: 2940: 2932: 2924: 2920: 2916: 2912: 2908: 2904: 2903: 2895: 2887: 2883: 2879: 2875: 2871: 2867: 2860: 2853: 2848: 2844: 2840: 2836: 2829: 2818: 2814: 2810: 2806: 2802: 2795: 2788: 2775: 2769: 2761: 2759:0-471-39918-3 2755: 2751: 2744: 2740: 2730: 2727: 2726: 2714: 2710: 2706: 2673: 2669: 2661: 2658: 2625: 2621: 2613: 2610: 2580: 2576: 2568: 2543: 2539: 2531: 2506: 2502: 2494: 2491: 2465: 2461: 2453: 2452: 2451: 2449: 2445: 2441: 2437: 2421: 2417: 2413: 2410: 2407: 2402: 2398: 2389: 2365: 2362: 2359: 2354: 2351: 2338: 2333: 2329: 2323: 2316: 2311: 2309: 2305: 2301: 2292: 2288: 2284: 2278: 2273: 2269: 2258: 2256: 2255: 2250: 2246: 2241: 2239: 2235: 2231: 2227: 2211: 2207: 2203: 2200: 2197: 2194: 2191: 2187: 2165: 2162: 2158: 2154: 2151: 2148: 2144: 2134: 2128: 2125: 2121: 2098: 2095: 2091: 2087: 2084: 2081: 2077: 2067: 2061: 2058: 2054: 2025: 2021: 2015: 2012: 2008: 2004: 2001: 1998: 1995: 1990: 1987: 1983: 1979: 1976: 1973: 1970: 1963: 1959: 1953: 1950: 1946: 1942: 1939: 1936: 1933: 1928: 1925: 1921: 1917: 1914: 1911: 1908: 1902: 1896: 1884: 1874: 1855: 1851: 1845: 1842: 1838: 1834: 1831: 1828: 1825: 1820: 1817: 1813: 1809: 1806: 1803: 1800: 1793: 1789: 1783: 1780: 1776: 1772: 1769: 1766: 1763: 1758: 1755: 1751: 1747: 1744: 1741: 1738: 1732: 1726: 1714: 1704: 1703: 1702: 1700: 1693: 1688: 1680: 1649: 1646: 1643: 1640: 1631: 1626: 1623: 1614: 1610: 1607: 1602: 1593: 1589: 1586: 1581: 1572: 1568: 1565: 1552: 1549: 1546: 1543: 1534: 1529: 1526: 1517: 1513: 1510: 1505: 1496: 1492: 1489: 1484: 1475: 1471: 1468: 1455: 1452: 1449: 1446: 1437: 1432: 1429: 1420: 1416: 1413: 1408: 1399: 1395: 1392: 1387: 1378: 1374: 1371: 1365: 1360: 1351: 1343: 1316: 1313: 1310: 1307: 1298: 1293: 1290: 1285: 1280: 1276: 1270: 1267: 1260: 1256: 1250: 1246: 1240: 1237: 1230: 1226: 1220: 1216: 1210: 1207: 1194: 1191: 1188: 1185: 1176: 1171: 1168: 1163: 1158: 1154: 1148: 1145: 1138: 1134: 1128: 1124: 1118: 1115: 1108: 1104: 1098: 1094: 1088: 1085: 1079: 1074: 1065: 1057: 1056: 1055: 1053: 1049: 1045: 1041: 1034:Approximation 1031: 1026: 1022: 1015: 1008: 1001: 994: 987: 980: 973: 966: 959: 952: 948: 941: 934: 927: 923: 919: 915: 911: 907: 903: 900: 896: 890:) instead of 889: 885: 878: 854: 850: 846: 841: 837: 833: 828: 824: 817: 813: 807: 802: 798: 790: 771: 767: 763: 758: 754: 750: 745: 741: 734: 730: 724: 719: 715: 707: 706: 705: 703: 699: 692: 685: 675: 671: 668: 666: 662: 659: 657: 653: 650: 647: 643: 640: 637: 634: 633: 632: 627: 623: 619: 615: 609: 607: 603: 596: 590: 589: 588: 568: 565: 561: 555: 551: 544: 540: 534: 530: 527: 523: 514: 510: 504: 500: 494: 488: 485: 482: 476: 469: 468: 467: 465: 461: 457: 453: 449: 445: 441: 437: 433: 429: 425: 421: 417: 413: 394: 391: 384: 381: 378: 372: 366: 360: 355: 351: 347: 342: 338: 330: 316: 313: 306: 303: 300: 294: 288: 282: 277: 273: 269: 264: 260: 252: 238: 235: 228: 225: 222: 216: 210: 204: 199: 195: 191: 186: 182: 174: 173: 172: 170: 166: 162: 158: 150: 146: 137: 135: 131: 127: 123: 119: 115: 111: 107: 103: 99: 95: 91: 87: 82: 80: 76: 72: 68: 64: 60: 56: 52: 48: 47: 42: 38: 34: 33:color science 30: 21: 3234:. Retrieved 3225: 3182: 3178: 3172: 3129: 3125: 3119: 3101: 3076: 3070: 3064: 3050:(1): 25–28. 3047: 3043: 3037: 3026:. Retrieved 3022:the original 3012: 2989: 2983: 2972:the original 2958: 2938: 2931: 2906: 2900: 2894: 2886:the original 2873: 2869: 2859: 2850: 2841:(1): 38–40. 2838: 2834: 2828: 2817:the original 2804: 2800: 2787: 2768: 2749: 2743: 2712: 2492:, 1.435 × 10 2443: 2385: 2337:CIE 1960 UCS 2327: 2315:temperature. 2313: 2297: 2271: 2267: 2265: 2252: 2248: 2244: 2242: 2237: 2233: 2229: 2225: 2045: 1696: 1052:cubic spline 1043: 1039: 1037: 1024: 1017: 1010: 1003: 996: 989: 982: 975: 968: 961: 954: 950: 943: 936: 929: 925: 921: 917: 913: 909: 905: 901: 891: 887: 883: 876: 874: 701: 694: 687: 680: 678: 669: 660: 651: 641: 635: 630: 621: 617: 610: 601: 591: 586: 464:Planck's law 459: 447: 443: 439: 435: 431: 427: 419: 415: 411: 409: 168: 164: 160: 154: 133: 129: 114:colorfulness 105: 101: 97: 96:coordinates 83: 45: 40: 36: 26: 3270:Color space 2701:10 m·K 2653:10 m·K 2605:10 m·K 2564:10 m·K 2527:10 m·K 2486:10 m·K 2304:white point 1909:0.317398726 1739:0.860117757 646:temperature 454:of the CIE 86:color space 59:temperature 3236:2020-01-17 3192:1507.07956 3139:1507.07956 3044:Metrologia 3028:2008-02-20 2909:(8): 999. 2852:necessary. 2735:References 2291:3900734070 2002:1.61456053 1977:2.89741816 1940:4.20481691 1915:4.22806245 1832:7.08145163 1807:8.42420235 1770:1.28641212 1745:1.54118254 1627:0.37001483 1611:3.75112997 1590:5.87338670 1530:0.16748867 1514:2.09137015 1493:1.37418593 1433:0.20219683 1417:2.18555832 1396:1.34811020 928:values of 450:) are the 3217:0047-2689 2363:± 2348:Δ 2163:− 2155:× 2138:¯ 2129:− 2096:− 2088:× 2071:¯ 2062:− 2013:− 2005:× 1988:− 1980:× 1974:− 1951:− 1943:× 1926:− 1918:× 1888:¯ 1843:− 1835:× 1818:− 1810:× 1781:− 1773:× 1756:− 1748:× 1718:¯ 1647:≤ 1641:≤ 1624:− 1587:− 1569:3.0817580 1550:≤ 1544:≤ 1527:− 1490:− 1472:0.9549476 1469:− 1453:≤ 1447:≤ 1430:− 1393:− 1375:1.1063814 1372:− 1314:≤ 1308:≤ 1271:0.2226347 1241:2.1070379 1211:3.0258469 1208:− 1192:≤ 1186:≤ 1149:0.8776956 1119:0.2343589 1116:− 1089:0.2661239 1086:− 981:= 1 (or 566:− 552:λ 531:⁡ 511:λ 483:λ 422:) is the 395:λ 379:λ 367:λ 356:λ 352:∫ 317:λ 301:λ 289:λ 278:λ 274:∫ 239:λ 223:λ 211:λ 200:λ 196:∫ 118:luminance 71:yellowish 3264:Category 3093:18903298 2723:See also 2318:—  2280:—  1294:0.240390 1172:0.179910 953:. Since 926:absolute 3197:Bibcode 3164:1115862 3144:Bibcode 2911:Bibcode 2813:4489377 672:is the 663:is the 654:is the 644:is the 624:is the 604:is the 587:where: 155:In the 29:physics 3215:  3162:  3091:  3000:  2946:  2811:  2780:  2756:  2705:CODATA 2657:CODATA 2609:CODATA 2560:1.4388 2523:1.4380 2289:  700:where 442:) and 410:where 167:, and 116:, and 104:, and 79:bluish 67:orange 35:, the 3187:arXiv 3160:S2CID 3134:arXiv 3111:(PDF) 2975:(PDF) 2968:(PDF) 2820:(PDF) 2809:S2CID 2797:(PDF) 2690:1.438 2659:2014) 2642:1.438 2611:2010) 2597:1.438 2482:1.432 1650:25000 1317:25000 1048:mired 88:is a 75:white 46:locus 3213:ISSN 3089:PMID 3072:JOSA 2998:ISBN 2944:ISBN 2902:JOSA 2754:ISBN 2649:(83) 2601:(13) 2599:7770 2366:0.05 2287:ISBN 2266:The 2201:< 2195:< 2188:1000 2180:for 2149:< 2113:and 2082:< 1632:4000 1553:4000 1535:2222 1456:2222 1438:1667 1299:4000 1195:4000 1177:1667 1016:and 995:and 967:and 942:and 631:and 132:and 31:and 3205:doi 3152:doi 3081:doi 3052:doi 2919:doi 2878:doi 2843:doi 2697:... 2695:877 2692:776 2644:777 2208:000 882:= 2 597:= 2 528:exp 434:), 110:hue 94:CIE 63:red 39:or 27:In 3266:: 3211:. 3203:. 3195:. 3183:45 3181:. 3158:. 3150:. 3142:. 3130:88 3128:. 3087:. 3077:38 3075:. 3046:. 2992:. 2917:. 2907:53 2905:. 2874:26 2872:. 2868:. 2849:. 2839:10 2837:. 2805:41 2803:. 2799:. 2688:= 2647:36 2640:= 2595:= 2558:= 2521:= 2480:= 2275:cp 2257:. 2247:, 2236:, 2228:, 2204:15 2159:10 2092:10 2009:10 1984:10 1947:10 1922:10 1839:10 1814:10 1777:10 1752:10 1277:10 1247:10 1217:10 1155:10 1125:10 1095:10 1054:: 1044:xy 1040:xy 1009:, 960:, 935:, 884:hc 880:1L 693:, 686:, 618:hc 616:= 602:hc 466:: 171:: 163:, 112:, 100:, 84:A 73:, 69:, 3239:. 3219:. 3207:: 3199:: 3189:: 3166:. 3154:: 3146:: 3136:: 3113:. 3095:. 3083:: 3058:. 3054:: 3048:3 3031:. 3006:. 2952:. 2925:. 2921:: 2913:: 2880:: 2845:: 2762:. 2716:2 2713:c 2703:( 2699:× 2674:2 2670:c 2655:( 2651:× 2626:2 2622:c 2607:( 2603:× 2581:2 2577:c 2562:× 2544:2 2540:c 2525:× 2507:2 2503:c 2484:× 2466:2 2462:c 2422:k 2418:/ 2414:c 2411:h 2408:= 2403:2 2399:c 2360:= 2355:v 2352:u 2293:) 2272:T 2270:( 2249:y 2245:x 2238:v 2234:u 2230:y 2226:x 2212:K 2198:T 2192:K 2166:5 2152:9 2145:| 2135:v 2126:v 2122:| 2099:5 2085:8 2078:| 2068:u 2059:u 2055:| 2026:2 2022:T 2016:7 1999:+ 1996:T 1991:5 1971:1 1964:2 1960:T 1954:8 1937:+ 1934:T 1929:5 1912:+ 1903:= 1900:) 1897:T 1894:( 1885:v 1856:2 1852:T 1846:7 1829:+ 1826:T 1821:4 1804:+ 1801:1 1794:2 1790:T 1784:7 1767:+ 1764:T 1759:4 1742:+ 1733:= 1730:) 1727:T 1724:( 1715:u 1655:K 1644:T 1637:K 1619:c 1615:x 1608:+ 1603:2 1598:c 1594:x 1582:3 1577:c 1573:x 1566:+ 1558:K 1547:T 1540:K 1522:c 1518:x 1511:+ 1506:2 1501:c 1497:x 1485:3 1480:c 1476:x 1461:K 1450:T 1443:K 1425:c 1421:x 1414:+ 1409:2 1404:c 1400:x 1388:3 1383:c 1379:x 1366:{ 1361:= 1356:c 1352:y 1322:K 1311:T 1304:K 1291:+ 1286:T 1281:3 1268:+ 1261:2 1257:T 1251:6 1238:+ 1231:3 1227:T 1221:9 1200:K 1189:T 1182:K 1169:+ 1164:T 1159:3 1146:+ 1139:2 1135:T 1129:6 1109:3 1105:T 1099:9 1080:{ 1075:= 1070:c 1066:x 1028:1 1025:c 1020:T 1018:Z 1013:T 1011:Y 1006:T 1004:X 999:T 997:y 992:T 990:x 985:T 983:Y 978:T 976:Y 971:T 969:Z 964:T 962:Y 957:T 955:X 946:T 944:Z 939:T 937:Y 932:T 930:X 922:T 920:, 918:λ 916:( 914:M 910:T 908:, 906:λ 904:( 902:L 894:1 892:c 877:c 855:T 851:Z 847:+ 842:T 838:Y 834:+ 829:T 825:X 818:T 814:Y 808:= 803:T 799:y 772:T 768:Z 764:+ 759:T 755:Y 751:+ 746:T 742:X 735:T 731:X 725:= 720:T 716:x 702:T 697:T 695:Z 690:T 688:Y 683:T 681:X 670:k 661:c 652:h 642:T 636:M 622:k 620:/ 613:2 611:c 599:π 594:1 592:c 569:1 562:) 556:T 545:2 541:c 535:( 524:1 515:5 505:1 501:c 495:= 492:) 489:T 486:, 480:( 477:M 460:λ 448:λ 446:( 444:Z 440:λ 438:( 436:Y 432:λ 430:( 428:X 420:T 418:, 416:λ 414:( 412:M 392:d 388:) 385:T 382:, 376:( 373:M 370:) 364:( 361:Z 348:= 343:T 339:Z 314:d 310:) 307:T 304:, 298:( 295:M 292:) 286:( 283:Y 270:= 265:T 261:Y 236:d 232:) 229:T 226:, 220:( 217:M 214:) 208:( 205:X 192:= 187:T 183:X 169:Z 165:Y 161:X 134:y 130:x 106:Z 102:Y 98:X

Index


physics
color science
locus
incandescent black body
chromaticity space
temperature
red
orange
yellowish
white
bluish
color space
three-dimensional space
CIE
hue
colorfulness
luminance
two-dimensional space
CIE XYZ color space

CIE 1931 Standard Colorimetric Observer
CIE XYZ color space
spectral radiant exitance
color matching functions
standard colorimetric observer
Planck's law
first radiation constant
second radiation constant
temperature

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