A single-crystal rod of FCC nickel is oriented with the [001] direction parallel to the rod axis. a. Identify the type of slip system involved in the plastic flow of nickel. b. How many such slip systems are in a position to be activated at the same time when the load is applied parallel to this crystallographic direction? c. What is the Schmid factor for this slip system? (The angles between the {100} and {110} and {100} and {111} planes are 45 and 54.7°, respectively.)

An FCC crystal is pulled in tension along the [100] direction. (a) Determine the Schmid factor for all slip systems. (b) Identify the slip system(s) that would be activated first. (c) What is the tensile stress under which this crystal will flow plastically? (t. = 50 MPa)

Vanadium (V) has a BCC crystal structure. The atomic radius is R = 0.132 nm and the atomic mass is M = 50.94 g/mole. What is the density of Vanadium in g/mm3? Given: Avogadro’s Number NA = 0.6023 × 1024 (atoms/mole) Select one: a. 1.5 b. 0.021 c. 0.011 d. 0.0087 e. 0.00597

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The diagram is a schematic illustration of what kind of defect? O A dislocation in a metal O A Schottky Defect in a metal O Substitutional impurity in a metal O An interstitial impurity in a metal

3 Copper Unit Cell Uniqueness Here's a weird way to describe the structure of copper: Cu falls into the tetragonal crystal system with a = 0.256 nm, c = 0.362 nm = a√√2, and atoms located at 000 and. Its density is 8.94 g/cc at room temperature. (a) Draw a few adjacent units cells of the structure as described in this "weird" way. You should be able to see that there is a much more convenient way to describe the structure. What is it? (The point I wish to make is that there are many different unit cells that can be used to describe any given crystal, so we usually choose the one that is easiest to visualize.) (b) Calculate the radius of a copper atom using the above information. (c) Calculate the lattice parameter of the "better" unit cell of Cu.

1. Is there a difference in packing (coordination number) between these two types (FCC and HCP) of structures?   2. Look at the two structures. A small difference in arrangement of atoms causes a dramatic difference in the properties of FCC ductile metals and HCP brittle metals. Can you see it? Try to draw the differences (You can draw the 3-layers separately):

One slip system for the BCC crystal structure is {110} . Sketch this plane along with the BCC atoms and identify two different slip directions within this plane.

Consider a single crystal of a hypothetical metal that has the BCC crystal structure. A stress of 50 MPa is applied in the [101] direction of the BCC unit cell.a. Determine the most favourable slip direction for the (011) slip plane of the BCC unit cell. ⟨111⟩ is the family of directions with the highest linear density in the BCC unit cell.b. If τcrss = 27.5 MPa, determine if the single crystal yields. If not, what stress level is required?c. What is the minimum stress at which the BCC single crystal yields?

What are slipbands and slip lines? What causes the formation of slipbands on a metal surface? What are the principal slip planes and slip directions for FCC, BCC and HCP metals?