(b) What is the coordination number of each cannonball in the interior of the stack?
Ch.12 - Solids and Modern Materials
Chapter 12, Problem 8c
The electronic structure of a doped semiconductor is shown here. (c) Which region of the diagram represents the band gap?
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Identify the two main regions in the diagram: Band A and Band B.
Understand that Band A represents the valence band (filled molecular orbitals) and Band B represents the conduction band (empty molecular orbitals).
Recognize that the band gap is the energy difference between the top of the valence band (Band A) and the bottom of the conduction band (Band B).
Locate the region between Band A and Band B in the diagram.
Conclude that this region represents the band gap.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Band Gap
The band gap is the energy difference between the top of the valence band (filled molecular orbitals) and the bottom of the conduction band (empty molecular orbitals) in a semiconductor. It determines the electrical conductivity of the material; a larger band gap typically means lower conductivity, while a smaller band gap allows for easier electron excitation, enhancing conductivity.
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Intepreting the Band of Stability
Doping in Semiconductors
Doping involves adding impurities to a semiconductor to change its electrical properties. N-type doping introduces extra electrons, while P-type doping creates 'holes' or positive charge carriers. This process modifies the band structure, affecting the position and size of the band gap, which is crucial for tailoring the semiconductor's performance in electronic devices.
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Metalloid Properties
Energy Bands
Energy bands in solids arise from the overlap of atomic orbitals, leading to the formation of filled and empty molecular orbitals. The filled band corresponds to the valence band, while the empty band is the conduction band. The arrangement and separation of these bands, including the band gap, dictate the material's electrical and optical properties, influencing its behavior in applications like transistors and diodes.
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Related Practice
Textbook Question
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Textbook Question
Which arrangement of cations (yellow) and anions (blue) in a lattice is the more stable? Explain your reasoning. (a)
(b)
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Textbook Question
Which of these molecular fragments would you expect to be more likely to give rise to electrical conductivity? Explain your reasoning. (a)
(b)
377
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Textbook Question
Shown here are cartoons of two different polymers. Which one would have the higher melting point?
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Textbook Question
The accompanying image shows photoluminescence from four different samples of CdTe nanocrystals, each embedded in a polymer matrix. The photoluminescence occurs because the samples are being irradiated by a UV light source. The nanocrystals in each vial have different average sizes. The sizes are 4.0, 3.5, 3.2, and 2.8 nm. (a) Which vial contains the 4.0-nm nanocrystals?
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Open Question
Covalent bonding occurs in both molecular and covalent-network solids. Which of the following statements best explains why these two kinds of solids differ so greatly in their hardness and melting points? (a) The molecules in molecular solids have stronger covalent bonding than covalent-network solids do. (b) The molecules in molecular solids are held together by weak intermolecular interactions. (c) The atoms in covalent-network solids are more polarizable than those in molecular solids. (d) Molecular solids are denser than covalent-network solids.