Measurement of the concentrations of solutions through chromatic systems

D. Escolar; M. R. Haro; A. Saucedo; J. Ayuso; A. Jiménez; J. A. Alvarez

doi:10.1364/AO.34.003731

Applied Optics
Vol. 34,
Issue 19,
pp. 3731-3736
(1995)
•https://doi.org/10.1364/AO.34.003731

Measurement of the concentrations of solutions through chromatic systems

D. Escolar, M. R. Haro, A. Saucedo, J. Ayuso, A. Jiménez, and J. A. Alvarez

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D. Escolar, M. R. Haro, A. Saucedo, J. Ayuso, A. Jiménez, and J. A. Alvarez, "Measurement of the concentrations of solutions through chromatic systems," Appl. Opt. 34, 3731-3736 (1995)

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Abstract

After a careful check of the response linearity of the spectrophotometer in absorbances and transmittances at wavelengths between 250 and 550 nm with potassium dichromate, the influence of the concentration of solutions on the tristimulus coordinates and the coordinates of the CIE 1931 (Commission Internationale de l'Éclairage) and CIELAB colorimetric systems was analyzed. How to use the value of only some chromatic coordinates to obtain a sample's concentration simultaneously is also shown.

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Tristimulus Coordinate	Equations	r
X	(970 ± 2) × 10⁻³ − (124 ± 5)c	−0.994
Y	(994 ± 1) × 10⁻³ − (47 ± 3)c	−0.986
Z	(1139 ± 9) × 10⁻³ − (691 ± 21)c	−0.996

c (10⁴ M)	X	y	L	λ_dom	S
0.743	0.315	0.324	99.43	571.1	3.23
1.379	0.319	0.330	98.77	571.4	6.16
2.074	0.323	0.337	98.25	571.4	9.19
2.726	0.327	0.344	97.90	571.4	11.92
3.370	0.331	0.350	97.84	571.3	14.44
3.974	0.334	0.355	97.73	571.0	16.58
4.582	0.337	0.361	97.41	571.3	19.19
5.286	0.342	0.367	97.03	571.4	22.01
6.017	0.346	0.373	96.74	571.4	24.81
6.798	0.350	0.380	96.22	571.5	27.69

System	Equations	r
CIE 1931
Luminosity L	(99.45 ± 0.13) − (4660 ± 31)c	0.983
Saturation S	(0.68 ± 0.17) − (4017 ± 404)c	0.999
CIELAB 1976
a*	−(72 ± 2) × 10⁻² − (14194 ± 536)c	0.994
b*	(92 ± 2) × 10⁻² + (44357 ± 544)c	0.999
Lightness L*	(99.79 ± 0.01) − (1835 ± 121)c	0.983
Chroma C*	(1.11 ± 0.03) − (46568 ± 663)c	0.999
Hue H*	(110.73 ± 0.03) − (3798 ± 717)c	0.882
Color difference ΔE*	(1.12 ± 0.03) + (46600 ± 664)c	0.999

c (10⁻⁴ M)	a*	b*	L*	C*	H*
0.743	−1.38	3.64	99.78	3.89	110.76
1.379	−2.49	6.93	99.52	7.37	109.74
2.074	−3.71	10.33	99.32	10.98	109.71
2.726	−4.71	13.36	99.18	14.17	109.39
3.370	−5.73	16.18	99.16	17.16	109.46
3.974	−6.84	18.61	99.12	19.82	110.15
4.582	−7.45	21.42	98.99	22.68	109.14
5.286	−8.32	24.49	98.84	25.87	108.74
6.017	−9.18	27.54	98.72	29.04	108.40
6.798	−9.84	30.63	98.52	32.17	107.78

Tristimulus Coordinate	Equations	r
X	(970 ± 2) × 10⁻³ − (124 ± 5)c	−0.994
Y	(994 ± 1) × 10⁻³ − (47 ± 3)c	−0.986
Z	(1139 ± 9) × 10⁻³ − (691 ± 21)c	−0.996

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Figures (6)

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Equations (7)

Applied Optics