Crystal Structure Handout

Crystal Structure Handout - University of California,...

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- 1 - University of California, Berkeley EE230 - Solid State Electronics Prof. J. Bokor Road map (Where are we headed?) Goal : Fairly high level understanding of carrier transport and optical transitions in semi- conductors Necessary Ingredients • Crystal Structure • Lattice Vibrations • Free Electron Theory • Band Structure • Doping And Occupation Statistics • Scattering Theory • Recombination • Transport Theory - Tunneling Modern Topics • Quantum Effects • Strain • Reduced Dimensionality • Heterostructures, Quantum Wells, Superlattices • Computational Methods
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- 2 - University of California, Berkeley EE230 - Solid State Electronics Prof. J. Bokor Crystal Structure (read Kittel, Chapters 1,2) Solids can be crystalline , polycrystalline , or amorphous . Crystalline : perfect or near perfect regularity Polycrystalline : small crystal “grains” randomly stuck together (crystallites) Amorphous : fully uncorrelated atomic positions We will primarily deal with crystalline semiconductors and only briefly study the others. Some definitions: Lattice : a periodic array of points in space Basis : atom or set of atoms attached to lattice points A crystal structure is composed of a lattice & a basis. Example: Solid water ice - one H 2 O water molecule (basis) at each lattice site. lattice unit vectors , span the space lattice such that all lattice points can be reached by general lattice vector The “primitive lattice cell” defined by “primitive axes” has only one lattice point per cell (corner points shared!) - but may (typically) have more than one atom . GaAs: fcc lattice, one GaAs per lattice point. Si : also fcc with 2 silicons per lattice point The “conventional” unit cell is often not a primitive cell.
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This note was uploaded on 08/01/2008 for the course EE 230 taught by Professor Bokor during the Spring '08 term at University of California, Berkeley.

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Crystal Structure Handout - University of California,...

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