Recent content by Useful nucleus

Thank you all for very helpful comments!

Thank you. I checked them and they look promising. I need to have a detailed look.

Thank you for your reply. I prefer books in English. If available on Amazon that would be great too. Unfortunately the books used here are not posted somewhere on the web. Thank you for your suggestion! I could find them on Amazon Egypt. They have very good reviews. I will give a try to one of...

Thank you for sharing your thoughts. Yes, I needed these for home-schooling. There are not standard math books since there are several different school systems. But it is a good idea to adopt one of them. I was looking for a recommendation for some known series. It is strange that there are...

Hello all, Is there a recommended series of books to teach fundamentals of mathematics for kids starting from pre-school? Preferably the series go up on level up to intermediate school level.

Is self-nomination common for career awards in science and engineering? I was under the impression that nomination for awards is only by others but apparently self-nomination is an option too. Any PF member has an experience in this to share?

Upon reaching equilibrium, quantum mechanical calculations show that in rutile-TiO2 the dominant form is small electron polarons. In anatase-TiO2, the dominant form is free-like electrons (or large polarons). See for example: https://pubs.rsc.org/en/content/articlelanding/2014/cp/c4cp03981e

Thank you!

Please suggest a citation for anyone who wish to use these expressions (e.g. for homework problems...).

You are right the band diagram before doping is different that the band diagram after doping. Together both elements will form new valence and conduction bands.

If I understand this thread correctly, you seek a method to predict the levels of a dopant in a host. This is exactly what computational materials scientists/physicists do. The gold standard in this field is using density functional theory simulations to predict the energy levels of a dopan in...

For a random alloy, the lattice parameter reported is an average over all unit cells. Each unit cell can have a slightly different lattice parameter than other unit cells. Thus, we have an average lattice constant but a distrubition of bond lengths. The band diagram is a different story. If...

Alloys can be ordered or random. IF the alloy is ordered , then their will be a set of well defined bond lengths (Si-Si, Ge-Ge, and Si-Ge). IF the alloy is random, then we will have a "spectrum" of bond lengths.

I believe you will be missing all entropic contribution. Your suggestions can account for the energy but not for the free energy.

I do not believe there is a general rule of thumb. Especially in complex compund semiconductors (like oxides and nitrides). However in 2003, it was shown that hydrogen has a universal energy level provided that the band gap of the semiconductor is aligned according to unified scale (for example...