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- The unit cells of SbCI3 are orthorhombic with dimensions a= 812 pm, b = 947 pm, and c = 637 pm. Calculate the spacing of (a) the {321} planes, {b} the {642} planes.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 latticeCalcium 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 the separations of the planes {123} and {236} in an orthorhombic crystal in which the unit cell has sides of lengths 784, 633, and 454 pm.State the Miller indices of the planes that intersect the crystallographic axes at the distances (2a, 3b, 2c) and (2a, 2b, ∞c).(a): Calculate Miller's indices in the hexagonal structure of its intersections. aj = 1, a2= -1/2, a3 = 1 , c= ∞ and draw it.
- Calculate k1 for a hexagonal lattice of 1:4 cm radius natural uranium rods andgraphite if the lattice pitch is 20 cm.5. Consider a molecular solid such as anthracene. It belongs to a monoclinic space group P2₁/a. a= 8.5626 Å, b = 6.0388 Å, c = 11.1848 Å, and ß = 124.71°. The atom positions are given as: C (0.0873, 0.0271, 0.3656) C (0.1187, 0.1578, 0.2807) C (0.0586, 0.0803, 0.1382) C (0.0879, 0.2094, 0.0474) C (0.0304, 0.1307, 0.9101) C (0.0606, 0.2594, 0.8165) C (0.0034, 0.1806, 0.6834) H (0.1310, 0.1080, 0.4720) H (0.1960, 0.3250, 0.3170) H (0.1550, 0.3760, 0.0850) H (0.1210, 0.4300, 0.8570) H (0.0240, 0.3240, 0.6210) a. Draw a unit cell of this material showing a view down the unique b axis. Under the "Transform" menu, optimize the range and repair molecular fragments. b. The C-H bond valence parameters are Ro = 1.1 and b = 0.37. One of the C atoms is bonded to a H with a bond distance of 1.135 Å. Calculate the bond valence for this bond. C. What does this imply about the bond valence of the two C-C bonds made by this atom?The unit cells of SbCl3 are orthorhombic with dimensions a = 812 pm, b = 947 pm, and c = 637 pm. Calculate the spacing, d, of the {321} planes.
- (b) Tungsten has a BCC structure with a lattice constant of 0.317 nm. Evaluate and sketch the planar atomic density for the following crystal planes in BCC: (i) (100) (ii) (110) (iii) (111)In a certain Patterson map for an orthorhombic crystal, space group P222, with coordinates of equivalent positions at x,y,z; x,y,-z, -x,-y,1/2+z, -x,y,1/2-z, there were high peaks at u,v,w of 0,0,0.74; 0.6,0,0; 0,0.36,0.25, assuming one heavy atom per asymmetric unit, find the coordinates of this heavy atom.(a) You are given two materials, X and Y as in Figure Q3(a). Investigate the type of material X and material Y and justify your answer. Then, compare the energy band between material X and material Y. 15 12 Y (1) (ii) Figure Q3(a)