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- (a) A hypothetical compound MB2 crystallises in the rutile lattice structure. (i) Draw the lattice structure of the unit cell MB2. (ii) Show by calculation that the stoichiometry of the formula is consistent with the structure. (iii) Determine the coordination number of the MB₂ unit cell.A particular form of cinnabar (HgS) adopts the zinc blendestructure. The length of the unit cell edge is 5.852 Å.(a) Calculate the density of HgS in this form. (b) The mineraltiemannite (HgSe) also forms a solid phase with the zincblende structure. The length of the unit cell edge in thismineral is 6.085 Å. What accounts for the larger unit celllength in tiemmanite? (c) Which of the two substances hasthe higher density? How do you account for the differencein densities?The coordination number for the Al3+ ion is typically betweenfour and six. Use the anion coordination number todetermine the Al3 + coordination number in the followingcompounds: (a) AlF3 where the fluoride ions are two coordinate,(b) Al2O3 where the oxygen ions are six coordinate, (c)AlN where the nitride ions are four coordinate.
- (a) The unit cells of three structural types of ionic solids are shown below (the anions appear light and the cations dark). The anions occupy the lattice positions. X (B) (A) (i) Name the common structural type for (A), (B) and (C). (Hint: a typical structural type is rutile (T1O₂).] (C) (ii) The structures (A), (B) and (C) can be considered as packing of anlons with the cations occupying specific types of hole. For each structure: state the unit cell that the packing of anions is based on. state which holes are occupied by the cations and what fraction of them are occupied. State the coordination numbers of the cations and anions for (A), (B) and (C).Define the following:(i) F-centre (ii) p-type semiconductor(iii) Ferrimagnetism.How will you distinguish between the following pairs of terms:(i) Tetrahedral and octahedral voids(ii) Crystal lattice and unit cell
- Determine if each statement is true or false: (a) Substitutionalalloys are solid solutions, but interstitial alloys areheterogenous alloys. (b) Substitutional alloys have “solute”atoms that replace “solvent” atoms in a lattice, but interstitialalloys have “solute” atoms that are in between the “solvent”atoms in a lattice. (c) The atomic radii of the atomsin a substitutional alloy are similar to each other, but in aninterstitial alloy, the interstitial atoms are a lot smaller thanthe host lattice atoms.Briefly describe the following crystalline defects. (i) Vacancy (ii) InterstitialThe metal MIhas an FCC crystal structure. If the angle of diffraction for the (220) set of planes occurs at 69.22°(first-order reflection) when monochromatic x-radiation having a wavelength of 0.1542 nm is used, compute (a) the interplanar spacing for this set of planes,(b) the lattice parameter (the cubic edge length)a, (c) atomic radius for aMIatom.
- A unit cell has a=5Å, b=5Å, c-8Å, a=90°, B-90° ad y=90°. What will be the Bravais lattice for this unit cell? Mention the following for each of the given crystallographic cubic planes. (a) Intercepts in the x, y and z coordinates (b) Reciprocals (c) Final index of the crystal plane 1/2An ideal quantum dot for use in TVs does not contain anycadmium due to concerns about disposal. One potentialmaterial for this purpose is InP, which adopts the zinc blende (ZnS) structure (face-centered cubic). The unit celledge length is 5.869 Å. (a) If the quantum dot is shaped likea cube, how many of each type of atom are there in a cubiccrystal with an edge length of 3.00 nm? 5.00 nm? (b) Ifone of the nanoparticles in part (a) emits blue light and theother emits orange light, which color is emitted by the crystalwith the 3.00-nm edge length? With the 5.00-nm edgelength?In the iron-carbon alloy phase diagram as shown in Fig. 1, draw the microstructures with indicating the name of each phases existing at (a) - (h) point.