Dispersion relation for (100) and (001)?

In summary, the difference between the dispersion relation for 100 and 001 on the E-K diagram depends on the symmetry of the system. In a cubic system, the (100) and (001) directions will have the same dispersion, but in a tetragonal system, they will be different. As for the dispersion for photons and electrons in the material InGaAs, without more specific knowledge about the system, it is impossible to say anything else.
  • #1
kaikaii
5
0
May I know what is the difference between the dispersion relation for 100 and 001 on the E-K diagram?

Can i say 001 has lesser dispersion? But why is it so?
 
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  • #2
May be you could be so kind and provide us with some minimal information about what system you are talking. Electrons, photons, some specific material?
 
  • #3
You can't say anything without having something specific to say it about, as DrDu says. (100) will have the same dispersion as (001) if there is a symmetry that maps the x-axis onto the z axis, like in a cubic system. In a tetragonal system there is no such symmetry so the (100) direction will be different from the (001) direction. And without more specific knowledge about the system in question there is nothing else that can be said.
 
  • #4
oh yes.. you are right, I'm sorry. may i know what's the difference between the dispersion for photons and electrons? and the material is InGaAs.
 
Last edited:

What is a dispersion relation?

A dispersion relation is a mathematical relationship that describes the behavior of waves in a medium. It relates the wave's frequency and wavelength to its propagation speed and other properties of the medium.

How does the dispersion relation differ for (100) and (001) orientations?

The dispersion relation for (100) and (001) orientations describes the behavior of waves in different crystal structures. The (100) orientation refers to waves propagating parallel to the crystal lattice's basis vector, while the (001) orientation refers to waves propagating perpendicular to the lattice plane. Thus, the dispersion relation will have different equations and properties for each orientation.

What factors affect the dispersion relation for (100) and (001) orientations?

The dispersion relation for (100) and (001) orientations is influenced by various factors, including the crystal structure, chemical composition, and temperature of the material, as well as the nature of the incident wave (e.g., acoustic, electromagnetic).

How is the dispersion relation experimentally determined for (100) and (001) orientations?

The dispersion relation for (100) and (001) orientations can be experimentally determined through techniques such as X-ray diffraction, neutron scattering, and spectroscopy. These methods allow researchers to measure the properties of waves in the material and determine the corresponding dispersion relation.

What is the significance of understanding the dispersion relation for (100) and (001) orientations?

Understanding the dispersion relation for (100) and (001) orientations is crucial for studying the behavior of waves in different materials. It can provide insights into the material's physical properties, such as its elastic and electrical properties, and can also be used to predict and control the behavior of waves in various applications, such as in electronic devices and materials science.

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