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Ch.12 - Solids and Solid-State Materials
Chapter 12, Problem 22c

The following diagrams show the electron populations of the bands of MO energy levels for four different materials:
Diagrams showing MO energy levels for four materials and their conductivity changes with temperature.
. (c) Tell whether the conductivity of each material increases or decreases when the temperature increases.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Molecular Orbital Theory

Molecular Orbital (MO) Theory describes the behavior of electrons in molecules by combining atomic orbitals to form molecular orbitals. These orbitals can be filled with electrons and are categorized as bonding or antibonding. The arrangement of these orbitals influences the electrical properties of materials, including their conductivity.
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Conductivity and Temperature Relationship

The conductivity of materials is often affected by temperature changes. In semiconductors, increasing temperature typically provides energy to electrons, allowing them to move from the valence band to the conduction band, thus increasing conductivity. Conversely, in some metals, increased temperature can lead to increased lattice vibrations, which may decrease conductivity.
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Band Gap

The band gap is the energy difference between the valence band and the conduction band in a material. Materials with a small band gap, like semiconductors, can have their conductivity significantly affected by temperature, as thermal energy can promote electrons across the gap. In contrast, materials with a large band gap are generally insulators and show little change in conductivity with temperature.
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