Spectral Tristimulus Values for the CIE (u,υ,w) Uniform Spacing System

Isadore Nimeroff

doi:10.1364/JOSA.54.001365

Journal of the Optical Society of America
Vol. 54,
Issue 11,
pp. 1365-1367
(1964)
•https://doi.org/10.1364/JOSA.54.001365

Spectral Tristimulus Values for the CIE (u,υ,w) Uniform Spacing System

Isadore Nimeroff

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Isadore Nimeroff, "Spectral Tristimulus Values for the CIE (u,υ,w) Uniform Spacing System," J. Opt. Soc. Am. 54, 1365-1367 (1964)

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Abstract

The spectral tristimulus values, ū_λ, ῡ_λ, ${\bar{w}}_{λ}$ , of the uniform space adopted by the CIE in 1959 have two bimodal functions, ū_λ and ${\bar{w}}_{λ}$ . Because in 1963 the CIE recommended data for a 10° matching field as well as the 1931 2° data, spectral tristimulus values are given for both systems. The chromaticity coordinates of several standard sources, the locus of Planckian radiators, and the spectrum locus are also reported.

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λ (nm)	Spectral tristimulus values			Chromaticity coordinates
λ (nm)	ū_λ	ῡ_λ	${\bar{w}}_{λ}$	u₂	υ₂	w₂
380	0.0009	0.	0.0025	0.2647	0.0000	0.7353
390	0.0028	0.0001	0.0081	0.2545	0.0091	0.7364
400	0.0095	0.0004	0.0274	0.2547	0.0107	0.7346
410	0.0290	0.0012	0.0837	0.2546	0.0105	0.7349
420	0.0896	0.0040	0.2616	0.2523	0.0113	0.7365
430	0.1894	0.0116	0.5682	0.2462	0.0151	0.7387
440	0.2323	0.0230	0.7339	0.2348	0.0233	0.7419
450	0.2242	0.0380	0.7749	0.2162	0.0366	0.7472
460	0.1940	0.0600	0.7792	0.1878	0.0581	0.7542
470	0.1303	0.0910	0.6826	0.1442	0.1007	0.7552
480	0.0638	0.1390	0.5672	0.0829	0.1805	0.7366
490	0.0213	0.2080	0.5286	0.0281	0.2744	0.6975
500	0.0033	0.3230	0.6180	0.0035	0.3421	0.6545
510	0.0062	0.5030	0.8289	0.0046	0.3759	0.6195
520	0.0422	0.7100	1.0724	0.0231	0.3891	0.5877
530	0.1104	0.8620	1.2313	0.0501	0.3912	0.5587
540	0.1937	0.9540	1.2959	0.0793	0.3904	0.5303
550	0.2891	0.9950	1.2801	0.1127	0.3880	0.4992
560	0.3965	0.9950	1.1972	0.1532	0.3844	0.4625
570	0.5083	0.9520	1.0480	0.2026	0.3795	0.4178
580	0.6112	0.8700	0.8477	0.2624	0.3736	0.3640
590	0.6845	0.7570	0.6229	0.3316	0.3667	0.3017
600	0.7085	0.6310	0.4158	0.4036	0.3595	0.2369
610	0.6687	0.5030	0.2533	0.4693	0.3530	0.1778
620	0.5699	0.3810	0.1444	0.5203	0.3478	0.1318
630	0.4285	0.2650	0.0763	0.5566	0.3442	0.0991
640	0.2987	0.1750	0.0385	0.5832	0.3417	0.0752
650	0.1891	0.1070	0.0187	0.6007	0.3399	0.0594
660	0.1100	0.0610	0.0090	0.6111	0.3389	0.0500
670	0.0583	0.0320	0.0043	0.6163	0.3383	0.0455
680	0.0312	0.0170	0.0021	0.6203	0.3380	0.0417
690	0.0151	0.0082	0.0009	0.6240	0.3388	0.0372
700	0.0076	0.0041	0.0004	0.6281	0.3388	0.0331
710	0.0039	0.0021	0.0002	0.6290	0.3387	0.0323
720	0.0019	0.0010	0.0000	0.6552	0.3448	⋯
730	0.0009	0.0005	0.0000	0.6429	0.3571	⋯
740	0.0005	0.0003	0.0000	0.6250	0.3750	⋯
750	0.0002	0.0001	0.0000	0.6667	0.3333	⋯
760	0.0001	0.0001	0.0000	0.5000	0.5000	⋯
770	0.0001	0.	0.0000	1.0000	⋯	⋯

λ (nm)	Spectral tristimulus values			Chromaticity coordinates
λ (nm)	ū_λ	ῡ_λ	${\bar{w}}_{λ}$	u₁₀	υ₁₀	w₁₀
380	0.0001	0.	0.0002	0.3333	0.0000	0.6667
390	0.0016	0.0003	0.0045	0.2500	0.0469	0.7031
400	0.0127	0.0020	0.0364	0.2485	0.0391	0.7123
410	0.0565	0.0088	0.1655	0.2448	0.0381	0.7171
420	0.1364	0.0214	0.4161	0.2377	0.0373	0.7250
430	0.2099	0.0387	0.6774	0.2267	0.0418	0.7315
440	0.2559	0.0621	0.8847	0.2127	0.0516	0.7356
450	0.2473	0.0895	0.9463	0.1927	0.0698	0.7375
460	0.2016	0.1282	0.9138	0.1621	0.1031	0.7348
470	0.1305	0.1852	0.8388	0.1130	0.1604	0.7265
480	0.0537	0.2536	0.7262	0.0520	0.2454	0.7027
490	0.0108	0.3391	0.7082	0.0102	0.3205	0.6693
500	0.0025	0.4608	0.7985	0.0020	0.3652	0.6328
510	0.0250	0.6067	0.9473	0.0158	0.3842	0.5999
520	0.0785	0.7618	0.1142	0.0402	0.3898	0.5701
530	0.1577	0.8752	0.2098	0.0703	0.3902	0.5394
540	0.2513	0.9620	1.2614	0.1015	0.3887	0.5097
550	0.3534	0.9918	1.2248	0.1375	0.3859	0.4766
560	0.4704	0.9973	1.1433	0.1809	0.3834	0.4396
570	0.5861	0.9555	0.9939	0.2312	0.3768	0.3920
580	0.6765	0.8689	0.7962	0.2889	0.4711	0.3400
590	0.7460	0.7774	0.6068	0.3502	0.3649	0.2849
600	0.7497	0.6583	0.4254	0.4089	0.3591	0.2320
610	0.6873	0.5280	0.2767	0.4607	0.3539	0.1854
620	0.5712	0.3981	0.1690	0.5018	0.3497	0.1485
630	0.4319	0.2835	0.1015	0.5287	0.3470	0.1243
640	0.2879	0.1798	0.0539	0.5520	0.3447	0.1033
650	0.1790	0.1076	0.0272	0.5704	0.3429	0.0867
660	0.1018	0.0603	0.0141	0.5777	0.3422	0.0800
670	0.0542	0.0318	0.0071	0.5822	0.3416	0.0763
680	0.0273	0.0159	0.0034	0.5858	0.3412	0.0730
690	0.0133	0.0077	0.0016	0.5885	0.3407	0.0708
700	0.0064	0.0037	0.0007	0.5926	0.3426	0.0648
710	0.0031	0.0018	0.0004	0.5849	0.3396	0.0755
720	0.0015	0.0008	0.0001	0.6250	0.3333	0.0417
730	0.0007	0.0004	0.0001	0.5833	0.3333	0.0833
740	0.0003	0.0002	0.	0.6000	0.4000	0.0000
750	0.0002	0.0001	0.	0.6667	0.3333	⋯
760	0.0001	0.	0.	1.0000	0.0000	⋯
770	0.0001	0.	0.	1.0000	⋯	⋯

Source (°K)	2° observer system				10° observer system
Source (°K)	x₂	y₂	u₂	υ₂	x₁₀	y₁₀	u₁₀	υ₁₀
1000	0.6526	0.3447	0.4482	0.3547	0.6474	0.3504	0.4383	0.3555
2000	0.5266	0.4133	0.3050	0.3590	0.5300	0.4122	0.3078	0.3591
3000	0.4368	0.4041	0.2506	0.3476	0.4403	0.4026	0.2532	0.3476
4000	0.3804	0.3767	0.2251	0.3344	0.3827	0.3759	0.2266	0.3345
5000	0.3450	0.3516	0.2115	0.3231	0.3464	0.3515	0.2119	0.3234
6000	0.3220	0.3317	0.2034	0.3141	0.3227	0.3323	0.2030	0.3146
7000	0.3063	0.3165	0.1982	0.3070	0.3066	0.3176	0.1973	0.3078
8000	0.2952	0.3048	0.1947	0.3014	0.2951	0.3063	0.1934	0.3022
9000	0.2869	0.2956	0.1922	0.2970	0.2866	0.2975	0.1905	0.2979
10 000	0.2806	0.2883	0.1904	0.2933	0.2802	0.2905	0.1884	0.2944
∞	0.2399	0.2342	0.1800	0.2636	0.2394	0.2366	0.1786	0.2648
A	0.4476	0.4075	0.2560	0.3495	0.4512	0.4059	0.2588	0.3496
B	0.3485	0.3517	0.2137	0.3235	0.3498	0.3527	0.2138	0.3241
C	0.3101	0.3163	0.2009	0.3073	0.3104	0.3191	0.1994	0.3086
E	0.3333	0.3333	0.2105	0.3158	0.3333	0.3333	0.2105	0.3158

λ (nm)	Spectral tristimulus values			Chromaticity coordinates
λ (nm)	ū_λ	ῡ_λ	${\bar{w}}_{λ}$	u₂	υ₂	w₂
380	0.0009	0.	0.0025	0.2647	0.0000	0.7353
390	0.0028	0.0001	0.0081	0.2545	0.0091	0.7364
400	0.0095	0.0004	0.0274	0.2547	0.0107	0.7346
410	0.0290	0.0012	0.0837	0.2546	0.0105	0.7349
420	0.0896	0.0040	0.2616	0.2523	0.0113	0.7365
430	0.1894	0.0116	0.5682	0.2462	0.0151	0.7387
440	0.2323	0.0230	0.7339	0.2348	0.0233	0.7419
450	0.2242	0.0380	0.7749	0.2162	0.0366	0.7472
460	0.1940	0.0600	0.7792	0.1878	0.0581	0.7542
470	0.1303	0.0910	0.6826	0.1442	0.1007	0.7552
480	0.0638	0.1390	0.5672	0.0829	0.1805	0.7366
490	0.0213	0.2080	0.5286	0.0281	0.2744	0.6975
500	0.0033	0.3230	0.6180	0.0035	0.3421	0.6545
510	0.0062	0.5030	0.8289	0.0046	0.3759	0.6195
520	0.0422	0.7100	1.0724	0.0231	0.3891	0.5877
530	0.1104	0.8620	1.2313	0.0501	0.3912	0.5587
540	0.1937	0.9540	1.2959	0.0793	0.3904	0.5303
550	0.2891	0.9950	1.2801	0.1127	0.3880	0.4992
560	0.3965	0.9950	1.1972	0.1532	0.3844	0.4625
570	0.5083	0.9520	1.0480	0.2026	0.3795	0.4178
580	0.6112	0.8700	0.8477	0.2624	0.3736	0.3640
590	0.6845	0.7570	0.6229	0.3316	0.3667	0.3017
600	0.7085	0.6310	0.4158	0.4036	0.3595	0.2369
610	0.6687	0.5030	0.2533	0.4693	0.3530	0.1778
620	0.5699	0.3810	0.1444	0.5203	0.3478	0.1318
630	0.4285	0.2650	0.0763	0.5566	0.3442	0.0991
640	0.2987	0.1750	0.0385	0.5832	0.3417	0.0752
650	0.1891	0.1070	0.0187	0.6007	0.3399	0.0594
660	0.1100	0.0610	0.0090	0.6111	0.3389	0.0500
670	0.0583	0.0320	0.0043	0.6163	0.3383	0.0455
680	0.0312	0.0170	0.0021	0.6203	0.3380	0.0417
690	0.0151	0.0082	0.0009	0.6240	0.3388	0.0372
700	0.0076	0.0041	0.0004	0.6281	0.3388	0.0331
710	0.0039	0.0021	0.0002	0.6290	0.3387	0.0323
720	0.0019	0.0010	0.0000	0.6552	0.3448	⋯
730	0.0009	0.0005	0.0000	0.6429	0.3571	⋯
740	0.0005	0.0003	0.0000	0.6250	0.3750	⋯
750	0.0002	0.0001	0.0000	0.6667	0.3333	⋯
760	0.0001	0.0001	0.0000	0.5000	0.5000	⋯
770	0.0001	0.	0.0000	1.0000	⋯	⋯

λ (nm)	Spectral tristimulus values			Chromaticity coordinates
λ (nm)	ū_λ	ῡ_λ	${\bar{w}}_{λ}$	u₁₀	υ₁₀	w₁₀
380	0.0001	0.	0.0002	0.3333	0.0000	0.6667
390	0.0016	0.0003	0.0045	0.2500	0.0469	0.7031
400	0.0127	0.0020	0.0364	0.2485	0.0391	0.7123
410	0.0565	0.0088	0.1655	0.2448	0.0381	0.7171
420	0.1364	0.0214	0.4161	0.2377	0.0373	0.7250
430	0.2099	0.0387	0.6774	0.2267	0.0418	0.7315
440	0.2559	0.0621	0.8847	0.2127	0.0516	0.7356
450	0.2473	0.0895	0.9463	0.1927	0.0698	0.7375
460	0.2016	0.1282	0.9138	0.1621	0.1031	0.7348
470	0.1305	0.1852	0.8388	0.1130	0.1604	0.7265
480	0.0537	0.2536	0.7262	0.0520	0.2454	0.7027
490	0.0108	0.3391	0.7082	0.0102	0.3205	0.6693
500	0.0025	0.4608	0.7985	0.0020	0.3652	0.6328
510	0.0250	0.6067	0.9473	0.0158	0.3842	0.5999
520	0.0785	0.7618	0.1142	0.0402	0.3898	0.5701
530	0.1577	0.8752	0.2098	0.0703	0.3902	0.5394
540	0.2513	0.9620	1.2614	0.1015	0.3887	0.5097
550	0.3534	0.9918	1.2248	0.1375	0.3859	0.4766
560	0.4704	0.9973	1.1433	0.1809	0.3834	0.4396
570	0.5861	0.9555	0.9939	0.2312	0.3768	0.3920
580	0.6765	0.8689	0.7962	0.2889	0.4711	0.3400
590	0.7460	0.7774	0.6068	0.3502	0.3649	0.2849
600	0.7497	0.6583	0.4254	0.4089	0.3591	0.2320
610	0.6873	0.5280	0.2767	0.4607	0.3539	0.1854
620	0.5712	0.3981	0.1690	0.5018	0.3497	0.1485
630	0.4319	0.2835	0.1015	0.5287	0.3470	0.1243
640	0.2879	0.1798	0.0539	0.5520	0.3447	0.1033
650	0.1790	0.1076	0.0272	0.5704	0.3429	0.0867
660	0.1018	0.0603	0.0141	0.5777	0.3422	0.0800
670	0.0542	0.0318	0.0071	0.5822	0.3416	0.0763
680	0.0273	0.0159	0.0034	0.5858	0.3412	0.0730
690	0.0133	0.0077	0.0016	0.5885	0.3407	0.0708
700	0.0064	0.0037	0.0007	0.5926	0.3426	0.0648
710	0.0031	0.0018	0.0004	0.5849	0.3396	0.0755
720	0.0015	0.0008	0.0001	0.6250	0.3333	0.0417
730	0.0007	0.0004	0.0001	0.5833	0.3333	0.0833
740	0.0003	0.0002	0.	0.6000	0.4000	0.0000
750	0.0002	0.0001	0.	0.6667	0.3333	⋯
760	0.0001	0.	0.	1.0000	0.0000	⋯
770	0.0001	0.	0.	1.0000	⋯	⋯

Abstract

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Figures (4)

Tables (3)

Equations (7)

Journal of the Optical Society of America