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The conductivity of intrinsic semiconductors must be increased greatly to make practical devices Dopants are electron donor or acceptor atoms that can be added in low concentrations to intrinsic semiconductors Dopants increase conductivity by making extra electrons or holes available The doped semiconductors are known as extrinsic semiconductors n-type semiconductors If an electron donor with five valence electrons, such as arsenic (As), is used as a dopant for silicon, the product is called an n-type semiconductor Figure 29-6a shows a location in a silicon crystal where a dopant atom has replaced one of the silicon atoms Four of the five As valence electrons bind to neighboring silicon The fifth electron is called the donor electron The energy of this donor electron is so close to the conduction band that thermal energy can easily move the electron from the dopant atom into the conduction band, as shown in Figure 29-7a Conduction in n-type semiconductors is increased by the availability of these extra donor electrons to the conduction band p-type semiconductors If an electron acceptor with three valence electrons, such as gallium (Ga), is used as a dopant for silicon, the product is called a p-type semiconductor When a gallium atom replaces a silicon atom, one binding electron is missing, creating a hole in the silicon crystal, as shown in Figure 29-6b Electrons in the conduction band can easily drop into these holes, creating new holes Conduction in p-type semiconductors is enhanced by the availability of the extra holes provided by the acceptor dopant atoms, as shown in Figure 29-7b Both p-type and n-type semiconductors are electrically neutral Adding dopant atoms of either type does not add any net charge to a semiconductor Both types of semiconductor use electrons and holes in conduction Only a few dopant atoms per million silicon atoms are needed to increase the conductivity of semiconductors by a factor of 1000 or more Silicon is doped by putting a pure silicon crystal in a vacuum with a sample of the dopant material The dopant is heated until it is vaporized, and the atoms condense on the cold silicon The dopant diffuses into the silicon on warming, and a thin layer of aluminum or gold is evaporated onto the doped crystal A wire is welded to this metal layer, allowing the user to apply a potential difference across the doped silicon.

Figure 29-6 A donor atom of arsenic with five valence electrons replaces a silicon atom and provides an unbound electron in the silicon crystal (a) An acceptor atom of gallium with three valence electrons creates a hole in the crystal (b)

Figure 29-7 In an n-type semiconductor (a), donor energy levels place electrons in the conduction band In a p-type semiconductor (b), acceptor energy levels result in holes in the valence band

Now implement the drawControlPointAtX:y: and drawRect: methods as shown in the following example. The code for drawing the control points demonstrates the use of the NSGradient class, which can be used to fill the inside of a Bezier path instead of just a solid color fill.

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Thermistors The electric conductivity of intrinsic and extrinsic semiconductors is sensitive to both temperature and light Unlike metals in which conductivity is reduced when the temperature rises, an increase in temperature of a semiconductor allows more electrons to reach the conduction band, and conductivity increases and resistance decreases One semiconductor device, the thermistor, is designed so that its resistance depends very strongly on temperature The thermistor can be used as a sensitive thermometer and to compensate for temperature variations of other components in an electric circuit Thermistors also can be used to detect radio waves, infrared radiation, and other forms of radiation

The Conductivity of Doped Silicon Silicon is doped with arsenic so that one in every million silicon atoms is replaced by an arsenic atom Each arsenic atom donates one electron to the conduction band Arsenic Donor a What is the density of free electrons b By what ratio is this density greater than that of intrinsic silicon with 145 1010 free e /cm3 c Is conduction mainly by the electrons of the silicon or Si Si Si the arsenic

Identify the knowns and unknowns Known:

1 As atom/106 Si atoms 1 free e /As atom 499 1022 Si atoms/cm3 145 1010 free e /cm3 in intrinsic Si

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