3.50 – Determine the Miller indices of the cubic crystal plane that intersects the following position coordinates: (1/2, 0, 1/2) (0, 0, 1) (1,1,1)

4. please show solution if needed

State the Miller indices of the planes that intersect the crystallographic axes at the distances (−a, 2b, −c) and (a, 4b, −4c).

3.47

10

Can you please solve it step by step I am confused about translational vector and unit cell primitive unit cell ???

Verify that the lowest value of the radius ratio for (a) sixfold coordination is 0.414, and (b) for eightfold coordination is 0.732.

A quantitative theory of bonding in ionic crystals was developed by Born and Meyer along the following lines: the total force of the system is taken to be: ae² F(r) = N-NA where N is number of positive - negative ion pairs, A and n are constant determined from experiment and at the Madelung constant which depends on the crystal structure of the solid. 1) Derive an expression of the total potential energy and identify the repulsion and the attraction terms. 2) Derive an expression of the equilibrium interatomic distance, re 3) Derive an expression of the bonding energy. 4) if the charge of the ions is double, by what factor both the equilibrium interatomic spacing ro and the bonding energy U(ro) change. Indicate which parameter increase or decrease. Comment on the magnitude of the change of both parameters.

U7

What is the symmetry number of CH3Cl?