FALLSEM2018-19_MEE1005_ETH_MB309_VL2018191003386_Reference Material III_Linear and Planar densities1

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Linear and Planar Atomic DensitiesLinear Density:Directional equivalency is related to the atomic linear density in thesense that equivalent directions have identical linear densities.The direction vector is positioned so as to pass through atom centers.The fraction of line length intersected by these atoms is equal to thelinear density.Planar Density:Crystallographic planes that are equivalent have the same atomic planardensity. The plane of interest is positioned so as to pass through atomcenters.Planar density is the fraction of total crystallographic plane area that isoccupied by atoms.Linear and planar densities are one- and two-dimensionalanalogs of the atomic packing factor.
2ex:linear density of Al in [110]directiona= 0.405 nmFCC: Linear DensityLinear Density of AtomsLD =a[110]Unit length of direction vectorNumber of atoms# atomslength13.5 nma22LD-==Adapted fromFig. 3.1(a),Callister &Rethwisch 8e.
Linear Density for BCCCalculate the linear density for thefollowing directions in terms of R:a. [100]b. [110]c. [111]
4Planar Density of (100) Iron
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Term
Fall
Professor
Ariful
Tags
Atom, Atomic Number, planar atomic densities

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