Answer all three parts

3. In a solid solution aluminum alloy single crystal (atomic radius =0.125nm,=0.5 ), pure perfect edge dislocations were determined to have glided locally with an applied shear stress of 0.7MPa, which is lower than the critical resolved shear stress of 0.8MPa. a. What is the effective width of the dislocation core in this material? b. If the aluminum alloy is aged in order to precipitate particles that make up 10 atomic percent of its structure, how large would these particles need to be to cause strengthening via dislocation bowing leading to a critical resolved shear stress of 1.2 MPa. c. Assuming that the dislocation bowing leads to dislocation multiplication via FrankRead source mechanism, what is the minimum spacing of the pinning particles to enable the source at the precipitation to harden the system to the critical resolved shear stress