Understanding Energy Bands in Solids: Conduction, Insulators, and Semiconductors

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In summary, the energy band concept in solids focuses on the conduction band, insulator, and semiconductor concepts, but does not mention the probability of electron positions (psi^2). However, there is a wave function associated with each point on the energy band that can determine the probability of an electron's position. This suggests that the energy band is more closely related to the energy Hamiltonian of the electron rather than its position.
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bluecap
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In energy band concept in solids.. they mostly mentioned about the conduction band or insulator or semiconductor concepts. They don't mention about probability of the electron positions (psi^2). So in solids.. can we say the electrons have more probability to be in wider energy range? Is this in positions observable or energy?
 
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bluecap said:
In energy band concept in solids.. they mostly mentioned about the conduction band or insulator or semiconductor concepts. They don't mention about probability of the electron positions (psi^2).
There is a wave function associated with each point of the energy band and by the wave function you can determine the probability of an electron being in a specific position.
 
  • #3
hokhani said:
There is a wave function associated with each point of the energy band and by the wave function you can determine the probability of an electron being in a specific position.

But is it not the energy band has to do more with the energy Hamiltonian of the electron than position?
 

1. What are energy bands in solids?

Energy bands in solids refer to the distribution of energy levels available to electrons in a solid material. These bands are formed due to the overlapping of atomic orbitals and can be either filled or empty depending on the number of electrons present in the material.

2. What is conduction in the context of energy bands in solids?

Conduction in energy bands refers to the movement of electrons from one energy level to another within the material. In conductors, electrons can easily move between energy levels, while in insulators and semiconductors, this movement is more restricted.

3. What distinguishes insulators from semiconductors?

The main difference between insulators and semiconductors lies in the size of their band gaps. Insulators have a large band gap, meaning there is a significant energy difference between the highest filled band and the lowest empty band, making it difficult for electrons to move and conduct electricity. In contrast, semiconductors have a smaller band gap, allowing for some electrons to move and conduct electricity under certain conditions.

4. How do impurities affect the conduction properties of semiconductors?

Impurities, or dopants, can introduce additional energy levels within the band gap of a semiconductor. This can create additional energy bands, making it easier for electrons to move and increasing the material's conductivity. The type and amount of dopants used can be controlled to tailor the semiconductor's conductivity for specific applications.

5. What is the significance of understanding energy bands in solid materials?

Understanding energy bands in solids is crucial for various technological applications, such as in the development of electronic devices. By manipulating the band structure of materials, we can control their electrical conductivity, which is essential for the functioning of transistors, diodes, and other electronic components.

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