Determine the miller indices for the plane given.

4. Platinum (atomic radius = 1.38 Å) crystallizes in a cubic closely packed structure. Calculate the edge length of the face- centered cubic unit cell and the density of platinum.

Answer the following question with drawing the atom configurations of the plane or direction.What is the planar density for the (110) plane in a FCC structure?

2. Determine the Miller indices for the following planes. Z A Z A

Sketch the planar cross section for the following planes in the FCC structure (label the edge lengths in terms of a and R) and calculate the planar densities for the three planes (do so in terms of both atoms/nm2 AND the dimensionless quantity): a. (001)b. (011)c. (111)

1. It is often convenient to represent a fcc lattice as simple cubic, with a cubic primitive cell of side a and a four-point basis. (a) Show that the structural factor is then either 4 or 0 at all points of the simple cubic reciprocal lattice. (b) Show that when points with zero structural factor are removed, the remaining points of the reciprocal lattice makes up a bcc cubic lattice with conventional cell of side 4л/a. Why is this expected?

Calculate the shape function of the elements in the figure below.

Given a plane with intercepts 5a, 1b and 8c, find the Miller indices.

Compute the planar density value for (1,-1,1) plane of BCC iron (Fe). Zfe=26Rfe=0.126nmAfe=55.845g/mol

Determine the Miller indices for the following planes, show the procedure you follow to obtain the index