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Substitute free e /As atom 1 free e /1 As atom, As atoms/Si atoms 1 As atom/1 106 Si atoms, Si atoms/cm3 499 1022 Si atoms/cm3

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344 106 As-donated electron per instrinsic Si electron c Because there are over 3 million arsenic-donated electrons for every intrinsic electron, conduction is mainly by the arsenic-donated electrons

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Are the units correct Using dimensional analysis confirms the correct units Is the magnitude realistic The ratio is large enough so that intrinsic electrons make almost no contribution to conductivity

11 If you wanted to have 1 104 as many electrons from arsenic doping as thermally free electrons in silicon at room temperature, how many arsenic atoms should there be per silicon atom 12 If you wanted to have 5 103 as many electrons from arsenic doping as thermally free electrons in the germanium semiconductor described in problem 6, how many arsenic atoms should there be per germanium atom 13 Germanium at 4000 K, has 113 1015 thermally liberated carriers/cm3 If it is doped with 1 As atom per 1 million Ge atoms, what is the ratio of doped carriers to thermal carriers 14 Silicon at 4000 K, has 454 1012 thermally liberated carriers/cm3 If it is doped with 1 As atom per 1 million Si, what is the ratio of doped carriers to thermal carriers 15 Based on problem 14, draw a conclusion about the behavior of germanium devices as compared to silicon devices at temperatures in excess of the boiling point of water

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Figure 29-8 Photographers use light meters to measure the intensity of incident light on an object

Light meters Other useful applications of semiconductors depend on their light sensitivity When light falls on a semiconductor, the light can excite electrons from the valence band to the conduction band in the same way that other energy sources excite atoms Thus, the resistance decreases as the light intensity increases Extrinsic semiconductors can be tailored to respond to specific wavelengths of light These include the infrared and visible regions of the spectrum Materials such as silicon and cadmium sulfide serve as light-dependent resistors in light meters used by lighting engineers to design the illumination of stores, offices, and homes; and by photographers to adjust their cameras to capture the best images, as shown in Figure 29-8

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16 Carrier Mobility In which type of material, a conductor, a semiconductor, or an insulator, are electrons most likely to remain with the same atom 17 Semiconductors If the temperature increases, the number of free electrons in an intrinsic semiconductor increases For example, raising the temperature by 8 C doubles the number of free electrons in silicon Is it more likely that an intrinsic semiconductor or a doped semiconductor will have a conductivity that depends on temperature Explain 18 Insulator or Conductor Silicon dioxide is widely used in the manufacture of solid-state devices Its energy-band diagram shows a gap of 9 eV between the valence band and the conduction band Is it more useful as an insulator or a conductor

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