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A: Please find the answer attached :
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Derive the relation for c/a ration. Also find out atomic packing factor of HCP
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- Does titanium expand or contract as it transforms from hcp to bcc? The atomic radius of titanium is 145.8 pm in hcp but 142.5 pm in bcc. Hint: Consider the change in packing fraction.Calculate the packing fractions of (i) a primitive cubic unit cell, (ii) a bcc unit cell, (iii) an fcc unit cell, where each cell is composed of identical hard spheres. Hint: Start by identifying the unit cell and working out which atoms are in contact.What is the Miller Index of the plane shown in the cubic unit cell below?
- Please use phase diagram to explain why micro-segregation and macro-segregation happen during practical solidification.Calculate the structure factors for a body-centred cubic (cubic I) structure in which the scattering factor of the central ion is twice that of the ions at the corners of the cube.A protein forms crystals of the orthorhombic type with unit-cell dimensions of 13.0 × 7.48 × 3.09 nm. If the density of the crystal is 1.315 g cm-3 and there are six protein molecules per unit cell, what is the molar mass of the protein?
- 1) For a crystalline substance with a hexagonal unit cell, the distance interplanar d is given by the expression. Consider graphite, for which a = 0.247 nm and c = 0.679 nm. On a standardized diffractogram with Cu Kα radiation ((λ = 1.5418 Å)), where angle 2θ will be observed the Bragg 002 peak of graphite?The orthorhombic unit cell of NiSO4 has the dimensions a= 634 pm, b = 784 pm, and c = 516 pm, and the density of the solid is estimated as 3.9 g cm-3. Determine the number of formula units per unit cell and calculate a moreprecise value of the density.The polypropylene (repeat unit CH3CHCH2) in a plastic object has a molar mass of 2.8x10^5 g/mol and a repeat unit length of 252 nm. Calculate the radius of gyration.
- Demonstrate that the minimum cation-anion radius ratio for a coordination number of 3 is 0.155 and for a coordination number of 4 is 0.225? What could be said about radius ratio for a coordination number of 2?Is it possible to have a homogeneous, binary liquid solution that has a higher (or lower) viscosity relative to either component?Calculate the volume of the unit cell of Zn crystal. a andc of Zn are 266.5 pm and 494.7 pm respectively.
