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1. Suppose a metal single crystal is loaded (stressed) in the [1 0 1] direction. a. If the critical resolved shear stress for this material is 0.34 MPa, what magnitude of applied stress is necessary for dislocations to begin to move in the (1 1 1)[-1 1 0] slip system? b. If the slip system listed in part a is valid, does this metal have the FCC, HCP, or BCC crystal structure? 2. Suppose you have an FCC metal single crystal which is known to have a critical resolved shear stress of 55.2 MPa. a. Find the largest normal stress that could be applied to a bar of this material in the [1 1 2] direction before dislocations begin to move in the [1 0 -1] direction on the (1 1 1) plane. b. How does your answer change if it is a BCC crystal and the slip system is [1 1 1](1 0 -1) (with the same shear stress)? 3. Consider the crystal structure for CaTiO3 (the perovskite structure) in which Ca2+ ions are located at the simple cubic positions, O2- ions are located at the six face centers, and the Ti4+ ion is at the 1/2, 1/2, 1/2 position. Determine the direction and length of the lowest-energy Burgers vector for this compound.
Show all the steps in the mechanism for the following reaction, When benzene is mixed with deuterated sulfuric acid, deuterium is slowly incorporated onto the ring. Show the mechanism for this reaction and explain how this relates the sulfonation of ..
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