Pre-defined k-point sets for Crystalline calculations: lattice-coordinate format

K-points listed in these tables are in a lattice coordinate format for use in electronic structure calculations. A sample file is shown below:

    4
  0.00000  0.00000  0.00000  0.50000
  0.50000 -0.50000  0.00000  0.12500
  0.50000  0.50000  0.50000  0.12500
  0.25000  0.25000  0.25000  0.25000

The first line tells us the number of k-points in this file, in this case 4. Each of the next lines gives the information about one k-point. First the lattice coordinates (in reciprocal space) are listed, followed by the weight assigned to each point. Thus the third line tells us that this k-point is given by

k = 0.5 b₁ + 0.5 b₂ + 0.5 b₃

where the b_i are the reciprocal lattice vectors of the crystal, and the weight assigned to this k-point is 0.125. Note that the weights are normalized so that they sum to unity.

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