a) For bcc lattice, which values of hkl give reflection? b) For fcc lattice, which values of hkl give reflection? c) For the diamond lattice, which values of hkl give reflection? (Hint: SG = Sjattice X Spasis) For each case list the miller indices for the first 5 reflection peaks.
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- Consider Figure 21.21. If the lower rightmost corner of the unit cell were selected arbitrarily as the origin, what would be the Miller indices of the indicated plane? Compare your answer to the solution of Example 21.7.Why is it necessary to use the Ka transition (2p-----> 1s) in copper (see Problem 88) to generate X-rays? Why not use, for example, the 4s--->3p transition?Calculate the planer density of planes (0:-1:-1) for BCC, and FCC crystal structures?
- Calcium carbonate crystals in the form of aragonite have orthorhombic unit cells of dimensions a = 574.1 pm, b = 796.8 pm, and c = 495.9 pm. Calculate the values of θ for the (100), (010), and (111) reflections using radiation of wavelength 83.42 pm.Calculate atomic density for (100) planes in BCC iron, a = 0.287 nm. By what percentage is this density more or less from the atomic density in (100) planes? Calculate atomic density for [100] directions in FCC copper, a = 0.361 nm. By what percentage is this density more or less from the atomic density in [110] directions?(a) What kind of packing arrangement is seen in the accompanyingphoto? (b) What is the coordination numberof each cannonball in the interior of the stack? (c) Whatare the coordination numbers for the numbered cannonballson the visible side of the stack?
- Energy bands are considered continuous due to the largenumber of closely spaced energy levels. The range of energylevels in a crystal of copper is approximately 1 x 10–19 J.Assuming equal spacing between levels, the spacing betweenenergy levels may be approximated by dividing therange of energies by the number of atoms in the crystal.(a) How many copper atoms are in a piece of copper metalin the shape of a cube with edge length 0.5 mm? The densityof copper is 8.96 g/cm3. (b) Determine the averagespacing in J between energy levels in the copper metal inpart (a). (c) Is this spacing larger, substantially smaller, orabout the same as the 1 x 10–18 J separation between energylevels in a hydrogen atom?Energy bands are considered continuous due to the largenumber of closely spaced energy levels. The range of energylevels in a crystal of copper is approximately 1 * 10–19 J.Assuming equal spacing between levels, the spacing betweenenergy levels may be approximated by dividing therange of energies by the number of atoms in the crystal.(a) How many copper atoms are in a piece of copper metalin the shape of a cube with edge length 0.5 mm? The densityof copper is 8.96 g/cm3. (b) Determine the averagespacing in J between energy levels in the copper metal inpart (a). (c) Is this spacing larger, substantially smaller, orabout the same as the 1 * 10–18 J separation between energylevels in a hydrogen atom?Good morning I am recently studying the topic of covalent crystals, I received the task to determine vectorially and explain how to obtain the angle of 109.5 degrees in the tetrahedral geometry? for covalent crystals.Here I share a slide with the information and a small scheme.Thank you very much in advance.
- If a Schottky defect concentration of 6.2 x 1010 /cm3 is observed in Al2O3, what is the total vacancy concentration (in 1/cm3) present in this sample of Al2O3? a. 2.3 x 108b. 3.1 x 1010c. 6.2 x 1010d. 1.24 x 1011e. 3.1 x 1011 When compared to that of a covalent material, the short-range atomic structure of amaterial assembled using ionic bonding can be characterized as having a:a) higher coordination numberb) lower atomic packing factorc) higher atomic packing factord) lower coordinationnumbere) a and c onlyThe maximum wavelength of light that a certain silicon photocell can detect is 1.11 μm. (a) What is the energy gap (in electron volts) between the valence and conduction bands for this photocell? (b) Explain why pure silicon is opaque.Spectrum (a) in the figure to the right is the UV-vis absorption spectrum of CdTe nanoparticles. What is the bandgap of these particles in eV? (TIP: You don’t need to square the absorbance values.)