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Reciprocal Lattice and Ewald Sphere, The Ewald sphere is a geometric…

- - - - Draw lattice planes - Nabil
      - 2 .Pick an origin and draw normals to the lattice planes - Nabil
      - Mark points along the normals spaced d(hkl) from the origin, where d(hkl) = 1/d(hkl) - Nabil
  - - - The reciprocal lattice to SC, BCC, FCC
        SC
        Direct lattice: a1=ax, a2=ay, a3=az
        Reciprocal lattice b1=(2π/a)x, b2=(2π/a)y, b3=(2π/a)z
        FCC
        Direct lattice: a1=(a/2)(x+y), a2=(a/2)(y+z), a3=(a/2)(z+x)
        Reciprocal lattice b1=(2π/a)(-x+y+z), b2=(2π/a)(x-y+z), b3=(2π/a)(x+y-z)
        BCC
        Direct lattice: a1=(a/2)(x+y-z), a2=(a/2)(-x+y+z), a3=(a/2)(-y+z+x)
        Reciprocal lattice b1=(2π/a)(y+z), b2=(2π/a)(x+z), b3=(2π/a)(x+y)
        -Tassvin