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Materials Characterization

by: Mr. Lisette McLaughlin

Materials Characterization MAT SCI 104

Mr. Lisette McLaughlin

GPA 3.99

R. Gronsky

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R. Gronsky
Class Notes
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This 2 page Class Notes was uploaded by Mr. Lisette McLaughlin on Thursday October 22, 2015. The Class Notes belongs to MAT SCI 104 at University of California - Berkeley taught by R. Gronsky in Fall. Since its upload, it has received 25 views. For similar materials see /class/226676/mat-sci-104-university-of-california-berkeley in Materials Science Engineering at University of California - Berkeley.

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Date Created: 10/22/15
VB H A BB A energy eigen values satisfy 0 A EA2 BAZ solve for E will be and i AE total Erep B minimized when aAE total ad0 then plug back in to AE total to find at equilibrium Lennard Jones potential energyatom 2X39 ra1Z AlZ aa6 A6 to minimize set dervative to 0 benergyaatom 2X39 12a ra1Z AlZ 6a ra6 A6 12A120a6 6A6 006 A6ZA12 a 0ZAlZA6Al6 to find total energy per atom plug in values Cohesive energy per atom Ecoh ZA6AZA12 Bulk Modui Ecoh of atomsVA3 chc 16a0A3A6sqrt2A6A12A32 Bbcc 880A3A6sqrt2A6A12A32 Bm ofatoms480A3A6sqrt2A6A12A32 Tensors transformation rule 2nd a39ij aik ajl akl strain a39ij 12eij eji aij e39i ej a matrix for primed to unprimed four fold 0 1 0 1 1 0 0 1 0 1 1 0 llll one WN Quantum wavefan nenergy level L0n l m LL LhatAZ angular momentum squared hbarA2LL1sighnew Lhatz sighnlm hbarmsighnew hamiltonian Hhat That Vhat That kinetic energy Vhat Potential energy En hbarA2piA22masseLengthA2n ltLzgt coeff of wavedA2hbar3rd index m XnlmbnlmA2hbarm ltHgt coeff of wavedA2E1st index n XnlmbnlmA2En ltLA2gt coeff of wavedA2hbarA2LlL L sec index XnlmbnlmA2hbarA2LLl if one dimensional nanowire En where n sub of wavef probability coeff of wavefA2 wavef SIGxto exp iEnt tohbar sig nx where n last time of measured subscript of E


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