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Lecture 2  Crystallographic Planes @ Www.07 Met.Tk
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Lecture 2 Crystallographic Planes @ Www.07 Met.Tk

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Lecture 2 Crystallographic Planes @ Www.07 Met.Tk Presentation Transcript

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  • 13. Crystallographic Directions
    • Cubic systems
      • directions are named based upon the projection of a vector from the origin of the crystal to another point in the cell.
    • Conventionally, a right hand Cartesian coordinate system is used.
      • The chosen origin is arbitrary, but is always selected for the easiest solution to the problem.
  • 14. Crystallographic Directions
    • Points within the lattice are written in the form h,k,l, where the three indices correspond to the fraction of the lattice parameters in the x,y,z direction.
  • 15. Angle Between Directions
    • A=ui+vj+wk
    • B=u 1 i+v 1 j+w 1 k
    • A.B=|A||B|cos θ
    • Θ =cos{(uu 1 +vv 1 +ww 1 )/[(u 2 +v 2 +w 2 ) 1/2 (u 1 2 +v 1 2 +w 1 2 ) 1/2 ]}
    • Find angle between [011] and [001] directions
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    • Closed Pack Planes
    • Highest density planes
    • BCC
    • FCC
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