a) direction indices are = [1 0 -1 1]
b) direction indices are = [0 1 -1 0]
c) direction indices = [-2 -2 4 3]
d) direction indices = [1 -2 1 0]
Determine indices for the directions shown in the following hexagonal unit cells:
Problem 3-4. 3-56 Determine the indices for the directions in the hexagonal lattice shown in Figure 3-43, using both the three-digit and four-digit systems. Figure 3-43 Directions in a hexagonal lattice for Problem 3.45
Question1. (a) Determine the Miller indices for the planes shown in the following cubic unit cells:
Determine the indices of the directions shown in Figure 1. Material Engineering -le
In the unit cells above, determine the directional indices of the vector, and the Miller Indices of the plane (4 marks) If the atomic packing factor of a material is known to be 0.5 and there are 5 atoms per unit cell (atomic radius 0.13nm), what is the lattice parameter of the cubic unit cell (3 marks) Which two of the following atoms would be most likely to combine and form a covalent bond, and briefly explain why (2 marks)...
draw the hexagonal direction whose miller indices are [111]
the Miller indices for the planes 3.24 Determine the Miller indices 3 shown in the following unit cell: sogon 3.28 D gumupa gniu el. TA= (124) - w - - - Sidan oncle ) Bl o ? -- B - > +y -coon) WISE Žollol od
Problem 3. Determine the Miller indices for the plane shown in the following unit cell. If it is copper with an FCC structure, a molar mass of 63.5 g/mol and an atomic radius of 0.128 nm, calculate its planar atomic density in atoms/nm'.
2. Determine the indices of the following directions and planes. The direction AB refers to the vector drawn from A to B. Fractional positions are measured from the closest corner. (6) 1/2b 1/2 ta G (123) or (123] 1/2 c 1 Coordinate system All capital letters are at lattice corners. Planes Directions NU АЈН AGK abK NT Nd
Question 1. a) Determine the indices of the cubic crystal plane that intersects the position coordinates 1,1/4.0: 1.1.1/2: 34.1,1/4 (5 Marks) b) Sketch the (110) plane in a bcc unit cell and give the positions of the atoms whose centers are intersected by this plane. (5 Marks) c) Draw and state the indices for the major slip planes and slip directions that occur in the unit cells of iron, copper, and zinc. (10 Marks)
Hexagonal Close-Packed Structure a) The conventional HCP unit cell shown to the right is not a Bravais lattice, but it can be defined as a simple hexagonal lattice with a two-atom basis. Draw the simple hexagonal unit cell on this structure and label the fundamental lattice translation vectors as a1,a2, and a3. b) Calculate the direction of each lattice translation vector in cartesian coordinates using the cartesian coordinate system shown on the diagram. c) In terms of lattice constants a and c, calculate...