Brillouin Zones

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Brillouin Zones Label Coordinates (g 1 ,g 2 ,g 3 ) Γ 0 0 0 L 1 2 1 2 1 2 X 1 2 0 1 2 W 1 2 1 4 3 4 K 3 8 3 8 3 4 Face-centered cubic

description

For use in depiction of Ek electronic band structures

Transcript of Brillouin Zones

Brillouin ZonesLabel Coordinates (g1,g2,g3)0 0 0L121212X12012W121434K 383834Face-centered cubicrillouin !onesLabel Coordinates (g1,g2,g3)0 0 0H121212P141414N0 012- 2 -Body-centered cubicrillouin !onesLabel Coordinates (g1,g2,g3)0 0 0X0120M12120

121212- % -Simple cubicrillouin !onesLabel Coordinates (g1,g2,g3)0 0 0!0 012M0120L01212K13230H132312- & -Hexagonalrillouin !onesLabel Coordinates (g1,g2,g3)0 0 0"121212L0120#01212- 5 -Rhombohedral for2$ a +($)rillouin !onesLabel Coordinates (g1,g2,g3)0 0 0'01212X12012"12120L120 0- +% -Face-centered orthorhombic with 2 2 21 1 1a b $> +(d)rillouin !ones- +& -Label Coordinates (g1,g2,g3)0 0 0X121212

120 0(12012)1212 0W341414Body-centered orthorhombic for a > b > cora> c > brillouin !ones- +5 -Label Coordinates (g1,g2,g3)0 0 0X121212

120 0(12012)1212 0W341414Body-centered orthorhombic for b & a & $orb & $ & arillouin !ones- +' -Label Coordinates (g1,g2,g3)0 0 0X121212

120 0(12012)1212 0W341414Body-centered orthorhombic for $ & b & aor$ & a& brillouin !ones- +( -Label Coordinates (g1,g2,g3)0 0 0'12120"0 012)121212(012 0

01212Base centered orthorhombica & b rillouin !ones- +) -Label Coordinates (g1,g2,g3)0 0 0'12120"0 0 12)121212(0 12 0

0 1212Base-centered orthorhombicb & a rillouin !ones- +* -Label Coordinates (g1,g2,g3)0 0 0'12 0 0X0 120 "0 012*0 1212)12 0 12(12120

121212Simple orthorhombic rillouin !ones- 20 -Label Coordinates (g1,g2,g3)0 0 0!12 0 0"0 1212 M121212L12 0 12+0 012Base centered monoclinic rillouin !ones- 2+ -Label Coordinates (g1,g2,g3)0 0 0,12 0 0'0 120 "0 012C0 1212-12 012!12120 , 12120, or 12120.121212, 121212, or 121212Simple monoclinic rillouin !ones- 22 -Label Coordinates (g1,g2,g3)0 0 0,120 0#0120 /0 012Triclinic