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Callister - An introduction - 8th edition

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21.9 Color • 853<br />

21.9 COLOR<br />

color<br />

Transparent materials appear colored as a consequence of specific wavelength<br />

ranges of light that are selectively absorbed; the color discerned is a result of the<br />

combination of wavelengths that are transmitted. If absorption is uniform for all<br />

visible wavelengths, the material appears colorless; examples include high-purity<br />

inorganic glasses and high-purity and single-crystal diamonds and sapphire.<br />

Usually, any selective absorption is by electron excitation. One such situation<br />

involves semiconducting materials that have band gaps within the range of photon<br />

energies for visible light (1.8 to 3.1 eV). Thus, the fraction of the visible light having<br />

energies greater than E g is selectively absorbed by valence band–conduction<br />

band electron transitions. Of course, some of this absorbed radiation is reemitted<br />

as the excited electrons drop back into their original, lower-lying energy states. It<br />

is not necessary that this reemission occur at the same frequency as that of the<br />

absorption. As a result, the color depends on the frequency distribution of both<br />

transmitted and reemitted light beams.<br />

For example, cadmium sulfide (CdS) has a band gap of about 2.4 eV; hence, it<br />

absorbs photons having energies greater than about 2.4 eV, which correspond to<br />

the blue and violet portions of the visible spectrum; some of this energy is reradiated<br />

as light having other wavelengths. Nonabsorbed visible light consists of photons<br />

having energies between about 1.8 and 2.4 eV. Cadmium sulfide takes on a<br />

yellow-orange color because of the composition of the transmitted beam.<br />

With insulator ceramics, specific impurities also introduce electron levels within<br />

the forbidden band gap, as discussed previously. Photons having energies less than<br />

the band gap may be emitted as a consequence of electron decay processes involving<br />

impurity atoms or ions, as demonstrated in Figures 21.6b and 21.6c. Again, the color<br />

of the material is a function of the distribution of wavelengths that is found in the<br />

transmitted beam.<br />

For example, high-purity and single-crystal aluminum oxide or sapphire is colorless.<br />

Ruby, which has a brilliant red color, is simply sapphire to which has been<br />

added 0.5 to 2% chromium oxide (Cr 2 O 3 ). The Cr 3 ion substitutes for the Al 3 ion<br />

in the Al 2 O 3 crystal structure and, furthermore, introduces impurity levels within<br />

the wide energy band gap of the sapphire. Light radiation is absorbed by valence<br />

band–conduction band electron transitions, some of which is then reemitted at specific<br />

wavelengths as a consequence of electron transitions to and from these impurity<br />

levels. The transmittance as a function of wavelength for sapphire and ruby is<br />

presented in Figure 21.9. For the sapphire, transmittance is relatively constant with<br />

Figure 21.9 Transmission of light radiation as a<br />

function of wavelength for sapphire (single-crystal<br />

aluminum oxide) and ruby (aluminum oxide<br />

containing some chromium oxide). The sapphire<br />

appears colorless, whereas the ruby has a red tint<br />

due to selective absorption over specific<br />

wavelength ranges. (Adapted from “The Optical<br />

Properties of Materials,” by A. Javan. Copyright<br />

© 1967 by Scientific American, Inc.<br />

All rights reserved.)<br />

Transmittance (%)<br />

90<br />

80<br />

70<br />

60<br />

50<br />

Violet Green Orange<br />

Blue Yellow Red<br />

Sapphire<br />

Ruby<br />

40<br />

0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0<br />

Wavelength, (m)

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