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Ch.12 - Solids and Solid-State Materials
Chapter 12, Problem 77

Tell what is meant by each of the following terms. (c) Band gap

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The 'band gap' is a fundamental concept in solid-state physics and chemistry, particularly relevant to the study of semiconductors and insulators.
In a solid, electrons occupy energy levels that form bands. The 'valence band' is the highest range of electron energies where electrons are normally present at absolute zero temperature.
Above the valence band is the 'conduction band', which is the range of electron energies higher than those in the valence band. Electrons in this band are free to move and conduct electricity.
The 'band gap' is the energy difference between the top of the valence band and the bottom of the conduction band. It represents the energy required to move an electron from the valence band to the conduction band.
Materials with a large band gap are typically insulators, while those with a smaller band gap are semiconductors. Conductors have overlapping valence and conduction bands, resulting in no 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 and the bottom of the conduction band in a solid material. It determines the electrical conductivity of the material; a large band gap indicates an insulator, while a small band gap suggests a semiconductor or conductor. The band gap plays a crucial role in the optical and electronic properties of materials, influencing their behavior in devices like solar cells and LEDs.
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Valence Band

The valence band is the highest energy band that is fully occupied by electrons at absolute zero temperature. It contains the electrons that are involved in bonding and determines the chemical properties of the material. The position of the valence band relative to the conduction band is essential for understanding a material's electrical properties, particularly in semiconductors and insulators.
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Conduction Band

The conduction band is the range of energy levels that electrons can occupy when they are free to move and conduct electricity. It is typically unoccupied at absolute zero but can be populated by thermal energy or doping in semiconductors. The ability of electrons to transition from the valence band to the conduction band, overcoming the band gap, is fundamental to the electrical conductivity and overall behavior of materials.
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