Derive density of states of low dimensional crystals and understand the unique characteristics the low dimensional structures present and identify all possible electron configurations under the given constraints and deduce Fermi-Dirac probability function from them. The derivation should consist of four parts:(1) unit volume in k-space,(2) The total k-space volume occupied by the energy range from 0 to E, and(3) Calculation of the density of states by differentiating the total k-space volume with respect to E and then divide by unit k-space volume. Must also multiply by 2 for spin degeneracy.(4) Can the learner identify all possible electron configurations under the given constraints and deduce Fermi-Dirac probability function from them?

How can the rebuttal best address the counterclaim? read the claim and reason beginning in high school students should eam their own money by finding aher school employment. an aber school job seves not only as income, but as valuable experience for when students leave school for the workiorce. read the counterclaim and reason while having a source of income can certainly be a learning experience for high school students, they should maintain their focus on academics and extracurricular activities working atter school many experts agree, can lead to a decrease in school success which can then limit students' options when they enter the workforce the rebuttal should include examples of jobs that are available to students and the problems associated with those jobs the rebuttal should acknowledge that school remains a priority and discuss the benefits of a balance between school and work the rebuttal should address the need for a discussion on the matter by restating both points before reaching a conclusion the rebuttal should state a logical explanation for both opinions before granting credibility to the need for school to remain a priority