Special k-points

bcc

Point type Point name 2 π / a units Crystal units
Zone center Γ (0,0,0) (0,0,0)
Face center N (1/2,1/2,0) (0,0,1/2)
Zone corner H (1,0,0) (-1/2,1/2,1/2)
P (1/2,1/2,1/2) (1/4,1/4,1/4)
Mean value Baldereschi (1/6,1/6,1/2) (1/4,1/4,-1/12)

fcc

Point type Point name 2 π / a units Crystal units
Zone center Γ (0,0,0) (0,0,0)
Face center L (1/2,1/2,1/2) (1/2,1/2,1/2)
X (1,0,0) (0,1/2,1/2)
Zone corner W (1/2,1,0) (1/4,-1/4,3/4)
Mean value Baldereschi (0.6223,0.2953,0) (0.14765,0.3115,0.4588)

hcp

Point type Point name (4 π / a 3½,4 π / a 3½, 2 π / c) units Crystal units
Zone center Γ (0,0,0) (0,0,0)
Face center A (0,0,1/2) (0,0,1/2)
M (1/2,0,0) (1/2(1-3),0,0)
Zone corner H (1/3,1/3,1/2) (1/3(1-3),2/3 3½,1/2)

William Parker
Department of Physics
the Ohio State University
Created by: wparker at mps dot ohio dash state dot edu
Last Modified:

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