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Fourier of Basis Points (Basis in Reciprocal space) (Convolution Theorem)

  1. Sep 27, 2010 #1
    I came across this question where there is a FCC lattice. It states that the lattice is a convolution of the simple cubic (whose reciprocal lattice is itself) with a basis (that consists of 2 points).

    When finding the reciprocal of this BCC lattice,
    FourierTransform(BCC)
    = FourierTransform(SimpleCubic * Basis)
    = FourierTransform(SimpleCubic) . FourierTransform(Basis)

    Now what is the fourier transform of the basis which consists of 2 points? Thanks for any help to clear up this confusion!
     
  2. jcsd
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