Is the Fermi Level at E = 2ta for Tight-Binding Dispersion?

Thread starter Niles
Start date Jan 11, 2011
Tags

Solid Solid state State

In summary, a solid state dispersion is a type of mixture where solid particles are dispersed within a solid matrix. They are typically made using techniques such as melt mixing, spray drying, or freeze drying to evenly distribute the particles. Solid state dispersions have a variety of applications, including in pharmaceuticals, food products, and cosmetics. They differ from other types of dispersions in that both the dispersed particles and the matrix are in solid form. Some challenges in working with solid state dispersions include controlling particle size and distribution, preventing agglomeration, and ensuring homogeneity, which can be addressed through appropriate processing methods and excipients.

Jan 11, 2011

Niles

Homework Statement

Hi

Say I have the tight-binding dispersion given by E = -2ta cos(ka). When plotting this, then is it correct that the Fermi level is at the energies satisfying E = 2ta, i.e. a straight line in a (k,E) plot?

Physics news on Phys.org

Jan 14, 2011

Niles

Sorry to bump this, but is someone able to confirm my approach?Niles.

Related to Is the Fermi Level at E = 2ta for Tight-Binding Dispersion?

1. What is a solid state dispersion?

A solid state dispersion is a type of mixture where solid particles are dispersed within a solid matrix. This can be contrasted with solutions, where the dispersed particles are in a liquid matrix.

2. How are solid state dispersions made?

Solid state dispersions are typically made by mixing the solid particles and the solid matrix together using techniques such as melt mixing, spray drying, or freeze drying. These methods help to evenly distribute the particles within the matrix.

3. What are some common applications of solid state dispersions?

Solid state dispersions have a wide range of applications, including in pharmaceuticals, food products, and cosmetics. They are often used to improve the dissolution rate of poorly soluble drugs, enhance the bioavailability of nutrients in food, and stabilize ingredients in cosmetics.

4. How do solid state dispersions differ from other types of dispersions?

Solid state dispersions differ from other types of dispersions, such as solutions and emulsions, in that the dispersed particles and the matrix are both in solid form. This can result in improved stability and control over the release of the dispersed particles.

5. What are some challenges in working with solid state dispersions?

Some challenges in working with solid state dispersions include controlling the particle size and distribution, preventing agglomeration of the particles, and ensuring homogeneity throughout the matrix. The selection of appropriate processing methods and excipients can help to address these challenges.