We describe experiments on color mixing suitable for undergraduate nonscience majors. A commercial spectrophotometer is used to study the spectra of light sources, combinations of color filters, and mixtures of acrylic paints. Special emphasis is placed on teaching the fundamentals of subtractive color mixing and the complex processes that occur in mixing pigments.

1.

Definitions: Given any color, a matching color that appears to the normal retina identical to the color in question, can always be obtained by combining light of a single wavelength with white light (except for magentas and purples, which are specified by the complementary wavelength). The wavelength of the matching color is called the dominant wavelength. The corresponding attribute of visual sensation is called the hue. The fraction of white light is called saturation. Saturation is also known as purity. High saturation colors require a small percentage of white in the matching color, low saturation colors require a large percentage of white. These are pale pink, sky blue, pale yellow, beige, and all colors commonly called pastels. The adjectives saturated and pale are therefore antonyms. To match those colors, the matching color requires a large fraction of white. Some authors define saturation in paints and pigments to be the parameter related to the amount of black, but we do not see a reason for such distinction. Brightness (also known as lightness) is the parameter of a color according to which an area appears to emit more or less light. The adjectives bright and dark (or light and dark) are therefore antonyms. In the literature there is a preference to use the term brightness for luminant sources, and lightness for illuminated surfaces. Different color systems (Munsell, Oswald, and DIN) use other terms (for example, value, chroma), but for simplicity we use terminology familiar from everyday English.

2.
P.
Kubelka
and
F.
Munk
, “
Ein Beitrag zur Optik der Farbanstriche
,”
Z. Tech. Phys. (Leipzig)
12
,
593
601
(
1931
).
3.
Chet S.
Haase
and
Gary W.
Meyer
, “
Modeling pigmented materials for realistic image synthesis
,”
ACM Trans. Graphics
14
,
305
335
(
1992
).
4.
The Kubelka-Munk theory is presented in accessible form in
Mahnaz
Mohammadi
and
Roy S.
Berns
, “
Verification of the Kubelka-Munk turbid media theory for artist acrylic paint
,” MCSL technical report summer 2004, ⟨www.art-si.org/publications.htm⟩.
5.
Ocean Optics CHEM2-VIS-FIBER USB2000-VIS-NIR fiber optic spectrometer, ⟨oceanoptics.com⟩. The price (including a light source and cuvette holder for absorption experiments, which are not used here) is $1499 with trade in. The cost of an Ocean Optics spectrometer with a 650 channel CCD (Red Tide USB650) is $999 (without optical fiber or software) and is available at ⟨oceanoptics.com⟩, ⟨vernier.com⟩, and ⟨pasco.com⟩.
6.
The lamp is a W.A.C. lighting model 900P with a built-in transformer. The light bulb is an MR16 20W narrow beam bulb (color temperature 2050K). Lower wattage bulbs (MR11 or MR8) may be more suitable but did not fit our lamp.
7.
Edmund Optics NT45-648, ⟨www.edmundoptics.com⟩.
8.
50mm×50mm additive and subtractive dichroic filters set, NT-46-140 and NT-46-141, Edmund Optics.
9.
Color Film Gel Sheets #10026, Rainbow Symphony, ⟨store.rainbowsymphonystore.com/cofige.html⟩.
10.
Winsor & Newton Galeria acrylic paints: process yellow (pigment PY74), process magenta (PV19), and process cyan (PB 15:3).
11.
Dahler Rowney acrylic paints: titanium white 009 and chromium red 503.
12.
Van Gogh acrylic paints Azo orange 276 and black.
13.
Van Gough acrylic paints: blue #504 and red #396.
14.
Paints used for these experiments were Van Gogh acrylic paints (ultramarine blue #504 and primary yellow #275).
16.
Kurt
Nassau
,
The Physics and Chemistry of Color
, 2nd ed. (
Wiley
, New York,
2001
), Chap. 1.
17.
G.
Waldman
,
Introduction to Light: The Physics of Light, Vision and Color
(
Dover
, Mineola, NY,
2002
), Chap. 11.
18.
T. N.
Cornsweet
,
Visual Perception
(
Academic
, New York,
1974
).
19.
A.
Byrne
and
D.
Hilbert
,
Readings on Color: The Science of Color
(
MIT
, Cambridge, MA,
1997
).
20.
P. U. P. A.
Gilbert
and
W.
Haeberli
,
Physics in the Arts
(
Elsevier
, Amsterdam,
2007
).
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