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- 3.60 (a) What are the direction indices for a vec- 231 in a 342 11 tor that passes from point 10 to point 32 tetragonal unit cell? (b) Repeat part (a) for a rhombohedral unit cell.Q#01. Answer the followings: (a) Distinguish between the coordination number and number of atoms per unit cell. Find out packing fraction for: (i) Simple cubic, (ii) body centered and face centered cubic unit cells. (b) Sketch the salient features of diamond structure (c) Find the total numbe of symmetry elements in each of the fourteen Bravais latticePoint Coordinates, Crystallographic Directions, and Crystallographic Planes 5. List the point indices of the titanium, barium, and oxygen ions for a unit cell of the perovskite crystal structure. (. 0²
- Verify that the lowest value of the radius ratio for (a) sixfold coordination is 0.414, and (b) for eightfold coordination is 0.732.By describing the relationship between subcooling (DT) and the critical radius, we can explain the possible microstructures. discuss.Sketch portions of a linear polypropylene molecule that are (a) syndiotactic, (b)atactic, and (c) isotactic. Use two-dimensional schematics.
- 9) A Cu monocrystal (FCC) of 10 cm length is pulled in tension. The stress axis is [¯123].a) Which is the stress system with the highest resolved shear stress?(b) If the extension of the crystal continues until a second slip systembecomes operational, what will this system be?(c) What rotation will be required to activate the second system?(d) How much longitudinal strain is required to activate the second system?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 1/2planar density
- 3.1 Cite the indices of the direction that results from the intersection of each of the following pairs of planes within a cubic crystal: (a) the (110) and (111) planes, (b) the (110) and (110) planes, and (c) the (111) and (001) planes.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?State the Miller indices of the planes that intersect the crystallographic axes at the distances (2a, 3b, 2c) and (2a, 2b, ∞c).