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3Â¥2009-11-20 14:27:55
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calos818(½ð±Ò+1,VIP+0): 11-20 19:54
http://www.abinit.org/documentat ... args.html#kptbounds

1¡¢FCC lattice
X (0   1/2 1/2)   (conventional cartesian coordinate 1/2 0 0)
X'(1/2 1/2 1  )   (conventional cartesian coordinate 1/2 1/2 0)  (an other instance of X, in another Brillouin zone)
L (1/2 0   0  )   (conventional cartesian coordinate 1/4 1/4 1/4)
W (1/4 1/2 3/4)   (conventional cartesian coordinate 1/2 1/4 0)
U (1/4 5/8 5/8)   (conventional cartesian coordinate 1/2 1/8 1/8)
K (3/8 3/8 3/4)   (conventional cartesian coordinate 3/8 3/8 0)
Note that K is actually equivalent to U, by spatial and translational symmetry. So, if you want to specify a typical circuit, the following might do the work : L-Gamma-X-W-K,U-L-W-X-K,U-Gamma
2¡¢BCC lattice
(as for the FCC lattice, there is a scale invariance). Then, the reciprocal primitive vectors (in conventional cartesian coordinates) are (0 1/2 1/2), (1/2 0 1/2), and (1/2 1/2 0) and the coordinates of several special points with respect to primitive vectors in reciprocal space are
H (-1/2 1/2 1/2)   (conventional cartesian coordinate 1/2 0 0)
N ( 0   0   1/2)   (conventional cartesian coordinate 1/4 1/4 0)
P ( 1/4 1/4 1/4)   (conventional cartesian coordinate 1/4 1/4 1/4)
So, if you want to specify a typical circuit, the following might do the work : Gamma-H-N-Gamma-P-N-P-H
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6Â¥2009-11-20 17:29:58
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calos818

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Originally posted by aylayl08 at 2009-11-20 14:27:
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