the [111] direction is equivalent to [-1 0 1] in hexagonal crystal. explain why
equivalent by symmetry
4. For a hexagonal crystal, cite all directions that are equivalent to [1010] direction.
draw the hexagonal direction whose miller indices are [111]
For a copper single crystal under uniaxial tension test along its [111] direction, the yield point is 150 MPa. Calculate the yield points if the copper single crystal is tested along [211] or [100] direction.
Step 2: For a copper single crystal under uniaxial tension test along its [111] direction, the yield point is 150 MPa. 고 (1) Which slip system(s) are activated? (2) Calculate the critically resolved shear stress of copper TCRSS; (3) Calculate the yield points if the copper single crystal is tested along [211] or [100] direction.
1. Chapter 9. Problem#1 (40p): Consider a single crystal FCC iron oriented itch tensile stress applied along |122] direction. A) (10p) Draw a unit eell and show there: the plane (111), tensile direction, normal to the plane direction and slip directions (110,(101] and lo11) B) (10p) Compute the resolved shear stress in (MPa) on plane (111) along the three slip direction given in (B), when tensile stress of 80 MPa is applied. C) (10p) If the critical resolved shear stress...
Discuss physically why an actual crystal cannot possess a fivefold axis of rotational symmetry. Draw sketches illustrating a (100) plane, a (110) plane, and a (111) plane in a cubic unit cell. How many equivalent {100}, {110}, and {111} planes are there in a cubic crystal? Regard planes (hkl) and (hkl) as identical. How many equivalent {123} planes are there in a cubic crystal? How many equivalent {111} planes are there in an orthorhombic crystal?
Assume that a single BCC crystal is subjected to 55 MPa in the [001] direction. There are two possible slip systems, (101)[-111] and (110)[-111], that can be activated. which slip system is most likely to exhibit slip and why?
2) Reciprocal Lattice Cobalt is a ferromagnetic material that belongs to the hexagonal crystal system with a 2.51 Å and cla a) Draw the ( 100). ( 1 10) and (021) planes in the hexagonal unit cell in real space. b) Calculate the volume of the hexagonal unit cell for cobalt. c) Calculate the d-spacings for the (100), (110) and (021) planes in cobalt. 1.62. Consine the rediprn r ora i vecon., " J, and c* and determining the angles...
Exercise 3: Reticular inter-spacing distance in hexagonal system 1-Establish the relation between hexagonal direct and reciprocal lattices, then establish the inter-spacing distance in hexagonal system 2- Give the equivalent reflections of the {100) family planes, then {1 -2 0; family planes.
explain why the coverage region of the cellular network has been designed as the hexagonal shape, instead of triangular, rectangular, or round shape