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- To obtain a more clearly defined picture of the FermiDirac distribution, consider a system of 20 FermiDirac particles sharing 94 units of energy. By drawing diagrams like Figure P10.11, show that there are nine different microstates. Using Equation 10.2, calculate and plot the average number of particles in each energy level from 0 to 14E. Locate the Fermi energy at 0 K on your plot from the fact that electrons at 0 K fill all the levels consecutively up to the Fermi energy. (At 0 K the system no longer has 94 units of energy, but has the minimum amount of 90E.) 1 Microstate8 others? One of the nine equally probable microstates for 20 FD particles with a total energy of 94E.Calculate the surface density of the lattice atoms located on the (110) plane of the SC crystal ?? Please solve it quickly by handwrittenImagine you generate a three-dimensional lattice by taking vector a and b vectors that form a two-dimensional square lattice. Then add a third vector, c, that is of different length and perpendicular to the first two. Which of the seven three-dimensional lattices results?
- Construct the reciprocal lattice for two-dimensional lattice in which a = 1.25 Å, b = 2.5 Å, and γ = 120oThe atoms of an FCC lattice are hard spheres touching the surfaces of the nearest neighbors. If the effective radius of an atom is 4.25 Angstrom, what is the surface density in the (110) plane and what is the distance between nearest (110) planes?Consider a face centered cubic (fcc) crystal in which one atom is placed at each lattice point. The lattice constant is a = 0.7 \: nma=0.7nm. Calculate the volume density of atoms (i.e. number of atoms per unit volume) in units of cm^{-3}cm−3. Values within 5% error will be considered correct.
- Metallic silver crystallizes in a face-centered cubic lattice with L as the length of one edge of the unit cube. What is the center-to-center distance between nearest silver atoms?Calculate the mismatch stress in a thin epitaxial film of Ge on a Si (110) substrate. Both Si and Ge have cubic lattice structures with lattice constants 0.5431 nm and 0.5657 nm, respectively.What is an intrinsic semiconductor? How is its electrical conductivity changes with temperature which is at absolute zero?